We discussed the general algorithm for solving problem No. 35 (C5). It's time to look at specific examples and offer you a selection of problems to solve on your own.

Example 2. The complete hydrogenation of 5.4 g of some alkyne requires 4.48 liters of hydrogen (n.s.). Determine the molecular formula of this alkyne.

Solution. We will act in accordance with the general plan. Let a molecule of an unknown alkyne contain n carbon atoms. General formula of the homologous series C n H 2n-2. Hydrogenation of alkynes proceeds according to the equation:

C n H 2n-2 + 2H 2 = C n H 2n+2.

The amount of hydrogen that reacted can be found using the formula n = V/Vm. In this case, n = 4.48/22.4 = 0.2 mol.

The equation shows that 1 mole of alkyne adds 2 moles of hydrogen (recall that in the problem statement we are talking about complete hydrogenation), therefore, n(C n H 2n-2) = 0.1 mol.

Based on the mass and amount of the alkyne, we find its molar mass: M(C n H 2n-2) = m(mass)/n(amount) = 5.4/0.1 = 54 (g/mol).

The relative molecular weight of an alkyne is the sum of n atomic masses of carbon and 2n-2 atomic masses of hydrogen. We get the equation:

12n + 2n - 2 = 54.

We solve the linear equation, we get: n = 4. Alkyne formula: C 4 H 6.

Answer: C 4 H 6 .

I would like to draw attention to one significant point: the molecular formula C 4 H 6 corresponds to several isomers, including two alkynes (butyn-1 and butyn-2). Based on these problems, we will not be able to unambiguously establish the structural formula of the substance under study. However, in this case this is not required!

Example 3. When 112 liters (n.a.) of an unknown cycloalkane are burned in excess oxygen, 336 liters of CO 2 are formed. Establish the structural formula of the cycloalkane.

Solution. The general formula of the homologous series of cycloalkanes: C n H 2n. With complete combustion of cycloalkanes, as with the combustion of any hydrocarbons, carbon dioxide and water are formed:

C n H 2n + 1.5n O 2 = n CO 2 + n H 2 O.

Please note: the coefficients in the reaction equation in this case depend on n!

During the reaction, 336/22.4 = 15 moles of carbon dioxide were formed. 112/22.4 = 5 moles of hydrocarbon entered the reaction.

Further reasoning is obvious: if 15 moles of CO 2 are formed per 5 moles of cycloalkane, then 15 molecules of carbon dioxide are formed per 5 molecules of hydrocarbon, i.e., one cycloalkane molecule produces 3 CO 2 molecules. Since each molecule of carbon monoxide (IV) contains one carbon atom, we can conclude: one cycloalkane molecule contains 3 carbon atoms.

Conclusion: n = 3, cycloalkane formula - C 3 H 6.

As you can see, the solution to this problem does not “fit” into the general algorithm. We did not look for the molar mass of the compound here, nor did we create any equation. According to formal criteria, this example is not similar to the standard problem C5. But I already emphasized above that it is important not to memorize the algorithm, but to understand the MEANING of the actions being performed. If you understand the meaning, you yourself will be able to make changes to the general scheme at the Unified State Exam and choose the most rational solution.

There is one more “oddity” in this example: it is necessary to find not only the molecular, but also the structural formula of the compound. In the previous task we were not able to do this, but in this example - please! The fact is that the formula C 3 H 6 corresponds to only one isomer - cyclopropane.

Answer: cyclopropane.

Example 4. 116 g of some saturated aldehyde were heated for a long time with an ammonia solution of silver oxide. The reaction produced 432 g of metallic silver. Determine the molecular formula of the aldehyde.

Solution. The general formula of the homologous series of saturated aldehydes is: C n H 2n+1 COH. Aldehydes are easily oxidized to carboxylic acids, in particular, under the action of an ammonia solution of silver oxide:

C n H 2n+1 COH + Ag 2 O = C n H 2n+1 COOH + 2 Ag.

Note. In reality, the reaction is described by a more complex equation. When Ag 2 O is added to an aqueous ammonia solution, a complex compound OH is formed - diammine silver hydroxide. It is this compound that acts as an oxidizing agent. During the reaction, an ammonium salt of a carboxylic acid is formed:

C n H 2n+1 COH + 2OH = C n H 2n+1 COONH 4 + 2Ag + 3NH 3 + H 2 O.

Another important point! The oxidation of formaldehyde (HCOH) is not described by the given equation. When HCOH reacts with an ammonia solution of silver oxide, 4 moles of Ag per 1 mole of aldehyde are released:

НCOH + 2Ag2O = CO2 + H2O + 4Ag.

Be careful when solving problems involving the oxidation of carbonyl compounds!

Let's return to our example. Based on the mass of released silver, you can find the amount of this metal: n(Ag) = m/M = 432/108 = 4 (mol). According to the equation, 2 moles of silver are formed per 1 mole of aldehyde, therefore, n(aldehyde) = 0.5n(Ag) = 0.5*4 = 2 moles.

Molar mass of aldehyde = 116/2 = 58 g/mol. Try to do the next steps yourself: you need to create an equation, solve it and draw conclusions.

Answer: C 2 H 5 COH.

Example 5. When 3.1 g of a certain primary amine reacts with a sufficient amount of HBr, 11.2 g of salt is formed. Determine the formula of the amine.

Solution. Primary amines (C n H 2n + 1 NH 2) when interacting with acids form alkylammonium salts:

С n H 2n+1 NH 2 + HBr = [С n H 2n+1 NH 3 ] + Br - .

Unfortunately, based on the mass of the amine and the salt formed, we will not be able to find their quantities (since the molar masses are unknown). Let's take a different path. Let us remember the law of conservation of mass: m(amine) + m(HBr) = m(salt), therefore, m(HBr) = m(salt) - m(amine) = 11.2 - 3.1 = 8.1.

Pay attention to this technique, which is very often used when solving C 5. Even if the mass of the reagent is not given explicitly in the problem statement, you can try to find it from the masses of other compounds.

So, we are back on track with the standard algorithm. Based on the mass of hydrogen bromide, we find the amount, n(HBr) = n(amine), M(amine) = 31 g/mol.

Answer: CH 3 NH 2 .

Example 6. A certain amount of alkene X, when reacting with an excess of chlorine, forms 11.3 g of dichloride, and when reacting with an excess of bromine, 20.2 g of dibromide. Determine the molecular formula of X.

Solution. Alkenes add chlorine and bromine to form dihalogen derivatives:

C n H 2n + Cl 2 = C n H 2n Cl 2,

C n H 2n + Br 2 = C n H 2n Br 2.

In this problem it is pointless to try to find the amount of dichloride or dibromide (their molar masses are unknown) or the amount of chlorine or bromine (their masses are unknown).

We use one non-standard technique. The molar mass of C n H 2n Cl 2 is 12n + 2n + 71 = 14n + 71. M(C n H 2n Br 2) = 14n + 160.

The masses of dihalides are also known. You can find the amounts of substances obtained: n(C n H 2n Cl 2) = m/M = 11.3/(14n + 71). n(C n H 2n Br 2) = 20.2/(14n + 160).

By convention, the amount of dichloride is equal to the amount of dibromide. This fact allows us to create the equation: 11.3/(14n + 71) = 20.2/(14n + 160).

This equation has a unique solution: n = 3.

Answer: C 3 H 6

In the final part, I offer you a selection of C5 type problems of varying difficulty. Try to solve them yourself - it will be excellent training before taking the Unified State Exam in Chemistry!

In my practice, I often encounter problems when teaching how to solve chemistry problems. One of the difficult tasks in the Unified State Examination tasks was task C 5.

Let me give you a few examples:

Example 1.

Determine the formula of a substance if it contains 84.21% carbon and 15.79% hydrogen, and has a relative density in air equal to 3.93.

Solution:

1. Let the mass of the substance be 100 g. Then the mass of C will be equal to 84.21 g, and the mass of H will be 15.79 g.

2. Find the amount of substance of each atom:

n(C) = m / M = 84.21 / 12 = 7.0175 mol,

n(H) = 15.79 / 1 = 15.79 mol.

3. Determine the molar ratio of C and H atoms:

C: H = 7.0175: 15.79 (reduce both numbers by the smaller number) = 1: 2.25 (multiply by 4) = 4: 9.

Thus, the simplest formula is C 4 H 9.

4. Using relative density, calculate the molar mass:

M = D(air) 29 = 114 g/mol.

5. The molar mass corresponding to the simplest formula C 4 H 9 is 57 g/mol, which is 2 times less than the true molar mass.

This means that the true formula is C 8 H 18.

Example 2.

Determine the formula of an alkyne with a density of 2.41 g/l under normal conditions.

Solution:

1. General formula of alkyne C n H 2n−2

2. Density ρ is the mass of 1 liter of gas under normal conditions. Since 1 mole of a substance occupies a volume of 22.4 liters, you need to find out how much 22.4 liters of such gas weigh:

M = (density ρ) (molar volume V m) = 2.41 g/l 22.4 l/mol = 54 g/mol.

14 n − 2 = 54, n = 4.

This means that the alkyne has the formula C 4 H 6.

Answer: C 4 H 6.

Example 3.

The relative vapor density of an organic compound with respect to nitrogen is 2. When 9.8 g of this compound is burned, 15.68 liters of carbon dioxide (NO) and 12.6 g of water are formed. Derive the molecular formula of an organic compound.

Solution:

1. Since a substance upon combustion turns into carbon dioxide and water, it means that it consists of atoms C, H and, possibly, O. Therefore, its general formula can be written as CxHyOz.

2. We can write the combustion reaction diagram (without setting the coefficients):

CxHyOz + O 2 → CO 2 + H 2 O

3. All carbon from the original substance passes into carbon dioxide, and all hydrogen into water.

We find the amounts of substances CO 2 and H 2 O, and determine how many moles of C and H atoms they contain:

a) n(CO 2) = V / V m = 15.68 / 22.4 = 0.7 mol.

(There is one C atom per CO 2 molecule, which means there is the same mole of carbon as CO 2. n(C) = 0.7 mol)

b) n(H 2 O) = m / M = 12.6 / 18 = 0.7 mol.

(One water molecule contains two H atoms, which means the amount of hydrogen is twice as much as water. n(H) = 0.7 2 = 1.4 mol)

4. Check for the presence of oxygen in the substance. To do this, the masses of C and H must be subtracted from the mass of the entire starting substance.

m(C) = 0.7 12 = 8.4 g, m(H) = 1.4 1 = 1.4 g

The mass of the total substance is 9.8 g.

m(O) = 9.8 − 8.4 − 1.4 = 0, i.e. There are no oxygen atoms in this substance.

5. Search for the simplest and true formulas.

C: H = 0.7: 1.4 = 1: 2. The simplest formula is CH 2.

6. We look for the true molar mass by the relative density of the gas compared to nitrogen (do not forget that nitrogen consists of diatomic molecules N2 and its molar mass is 28 g/mol):

M source = D(N 2) M(N 2) = 2 28 = 56 g/mol.

The true formula is CH 2, its molar mass is 14. 56 / 14 = 4. The true formula is: (CH 2) 4 = C 4 H 8.

Answer: C 4 H 8.

Example 4.

When 25.5 g of saturated monobasic acid reacted with an excess of sodium bicarbonate solution, 5.6 l (n.s.) of gas was released. Determine the molecular formula of the acid.

Solution:

1. C n H 2n+1 COOH + NaHCO 3 à C n H 2n+1 COONa + H 2 O + CO 2

2. Find the amount of substance CO 2

n(CO 2) = V/Vm = 5.6 l: 22.4 l/mol = 0.25 mol

3. n(CO 2) = n(acids) = 0.25 mol (from the equation you can see this 1:1 ratio)

Then the molar mass of the acid is:

M(k-ty) = m/n = 25.5g: 0.25 mol = 102g/mol

4. M(k-ty) = 12n+2n+1+12+16+16 (from the general formula, M = Ar(C)*n + Ar(H)*n + Ar(O)*n = 12* n + 1*(2n+1)+ 12+16+16+1)

M(k-ty) = 12n +2n +46 = 102; n = 4; The acid formula is C 4 H 9 COOH.

Tasks for self-solving C5:

1. The mass fraction of oxygen in a monobasic amino acid is 42.67%. Determine the molecular formula of the acid.

2. Establish the molecular formula of a tertiary amine if it is known that its combustion produced 0.896 l (n.s.) of carbon dioxide, 0.99 g of water and 0.112 l (n.s.) nitrogen.

3. To completely burn 2 liters of hydrocarbon gas, 13 liters of oxygen were required, and 8 liters of carbon dioxide were formed. Find the molecular formula of hydrocarbon.

4. When 3 liters of hydrocarbon gas are burned, 6 liters of carbon dioxide and a certain amount of water are obtained. Determine the molecular formula of a hydrocarbon if it is known that 10.5 liters of oxygen were required for complete combustion.

5. The dichloro derivative of an alkane contains 5.31% hydrogen by weight. Determine the molecular formula of dichloroalkane. Give the structural formula of one of the possible isomers and name it

6. During the combustion of a gaseous organic substance that does not contain oxygen, 4.48 liters of carbon dioxide (n.o.), 3.6 g of water and 2 g of hydrogen fluoride were released. Determine the molecular formula of the compound.

Methods for solving problems in chemistry

When solving problems, you must be guided by a few simple rules:

1. Read the task conditions carefully;
2. Write down what is given;
3. Convert, if necessary, units of physical quantities into SI units (some non-system units are allowed, for example liters);
4. Write down, if necessary, the reaction equation and arrange the coefficients;
5. Solve a problem using the concept of the amount of a substance, and not the method of drawing up proportions;
6. Write down the answer.

In order to successfully prepare for chemistry, you should carefully consider the solutions to the problems given in the text, and also solve a sufficient number of them yourself. It is in the process of solving problems that the basic theoretical principles of the chemistry course will be reinforced. It is necessary to solve problems throughout the entire time of studying chemistry and preparing for the exam.

You can use the problems on this page, or you can download a good collection of problems and exercises with solutions to standard and complicated problems (M. I. Lebedeva, I. A. Ankudimova): download.

Mole, molar mass

Molar mass is the ratio of the mass of a substance to the amount of substance, i.e.

M(x) = m(x)/ν(x), (1)

where M(x) is the molar mass of substance X, m(x) is the mass of substance X, ν(x) is the amount of substance X. The SI unit of molar mass is kg/mol, but the unit g/mol is usually used. Unit of mass – g, kg. The SI unit for quantity of a substance is the mole.

Any chemistry problem solved through the amount of substance. You need to remember the basic formula:

ν(x) = m(x)/ M(x) = V(x)/V m = N/N A , (2)

where V(x) is the volume of the substance X(l), V m is the molar volume of the gas (l/mol), N is the number of particles, N A is Avogadro’s constant.

1. Determine mass sodium iodide NaI amount of substance 0.6 mol.

Given: ν(NaI)= 0.6 mol.

Find: m(NaI) =?

Solution. The molar mass of sodium iodide is:

M(NaI) = M(Na) + M(I) = 23 + 127 = 150 g/mol

Determine the mass of NaI:

m(NaI) = ν(NaI) M(NaI) = 0.6 150 = 90 g.

2. Determine the amount of substance atomic boron contained in sodium tetraborate Na 2 B 4 O 7 weighing 40.4 g.

Given: m(Na 2 B 4 O 7) = 40.4 g.

Find: ν(B)=?

Solution. The molar mass of sodium tetraborate is 202 g/mol. Determine the amount of substance Na 2 B 4 O 7:

ν(Na 2 B 4 O 7) = m(Na 2 B 4 O 7)/ M(Na 2 B 4 O 7) = 40.4/202 = 0.2 mol.

Recall that 1 mole of sodium tetraborate molecule contains 2 moles of sodium atoms, 4 moles of boron atoms and 7 moles of oxygen atoms (see sodium tetraborate formula). Then the amount of atomic boron substance is equal to: ν(B) = 4 ν (Na 2 B 4 O 7) = 4 0.2 = 0.8 mol.

Calculations using chemical formulas. Mass fraction.

Mass fraction of a substance is the ratio of the mass of a given substance in a system to the mass of the entire system, i.e. ω(X) =m(X)/m, where ω(X) is the mass fraction of substance X, m(X) is the mass of substance X, m is the mass of the entire system. Mass fraction is a dimensionless quantity. It is expressed as a fraction of a unit or as a percentage. For example, the mass fraction of atomic oxygen is 0.42, or 42%, i.e. ω(O)=0.42. The mass fraction of atomic chlorine in sodium chloride is 0.607, or 60.7%, i.e. ω(Cl)=0.607.

3. Determine the mass fraction water of crystallization in barium chloride dihydrate BaCl 2 2H 2 O.

Solution: The molar mass of BaCl 2 2H 2 O is:

M(BaCl 2 2H 2 O) = 137+ 2 35.5 + 2 18 = 244 g/mol

From the formula BaCl 2 2H 2 O it follows that 1 mol of barium chloride dihydrate contains 2 mol of H 2 O. From this we can determine the mass of water contained in BaCl 2 2H 2 O:

m(H 2 O) = 2 18 = 36 g.

We find the mass fraction of water of crystallization in barium chloride dihydrate BaCl 2 2H 2 O.

ω(H 2 O) = m(H 2 O)/ m(BaCl 2 2H 2 O) = 36/244 = 0.1475 = 14.75%.

4. Silver weighing 5.4 g was isolated from a rock sample weighing 25 g containing the mineral argentite Ag 2 S. Determine the mass fraction argentite in the sample.

Given: m(Ag)=5.4 g; m = 25 g.

Find: ω(Ag 2 S) =?

Solution: we determine the amount of silver substance found in argentite: ν(Ag) =m(Ag)/M(Ag) = 5.4/108 = 0.05 mol.

From the formula Ag 2 S it follows that the amount of argentite substance is half as much as the amount of silver substance. Determine the amount of argentite substance:

ν(Ag 2 S)= 0.5 ν(Ag) = 0.5 0.05 = 0.025 mol

We calculate the mass of argentite:

m(Ag 2 S) = ν(Ag 2 S) M(Ag 2 S) = 0.025 248 = 6.2 g.

Now we determine the mass fraction of argentite in a rock sample weighing 25 g.

ω(Ag 2 S) = m(Ag 2 S)/ m = 6.2/25 = 0.248 = 24.8%.

Deriving compound formulas

5. Determine the simplest formula of the compound potassium with manganese and oxygen, if the mass fractions of elements in this substance are 24.7, 34.8 and 40.5%, respectively.

Given: ω(K) =24.7%; ω(Mn) =34.8%; ω(O) =40.5%.

Find: formula of the compound.

Solution: for calculations we select the mass of the compound equal to 100 g, i.e. m=100 g. The masses of potassium, manganese and oxygen will be:

m (K) = m ω(K); m (K) = 100 0.247 = 24.7 g;

m (Mn) = m ω(Mn); m (Mn) =100 0.348=34.8 g;

m (O) = m ω(O); m(O) = 100 0.405 = 40.5 g.

We determine the amounts of atomic substances potassium, manganese and oxygen:

ν(K)= m(K)/ M(K) = 24.7/39= 0.63 mol

ν(Mn)= m(Mn)/ М(Mn) = 34.8/ 55 = 0.63 mol

ν(O)= m(O)/ M(O) = 40.5/16 = 2.5 mol

We find the ratio of the quantities of substances:

ν(K) : ν(Mn) : ν(O) = 0.63: 0.63: 2.5.

Dividing the right side of the equality by a smaller number (0.63) we get:

ν(K) : ν(Mn) : ν(O) = 1: 1: 4.

Therefore, the simplest formula for the compound is KMnO 4.

6. The combustion of 1.3 g of a substance produced 4.4 g of carbon monoxide (IV) and 0.9 g of water. Find the molecular formula substance if its hydrogen density is 39.

Given: m(in-va) =1.3 g; m(CO 2)=4.4 g; m(H 2 O) = 0.9 g; D H2 =39.

Find: formula of a substance.

Solution: Let's assume that the substance we are looking for contains carbon, hydrogen and oxygen, because during its combustion, CO 2 and H 2 O were formed. Then it is necessary to find the amounts of CO 2 and H 2 O substances in order to determine the amounts of atomic carbon, hydrogen and oxygen substances.

ν(CO 2) = m(CO 2)/ M(CO 2) = 4.4/44 = 0.1 mol;

ν(H 2 O) = m(H 2 O)/ M(H 2 O) = 0.9/18 = 0.05 mol.

We determine the amounts of atomic carbon and hydrogen substances:

ν(C)= ν(CO 2); ν(C)=0.1 mol;

ν(H)= 2 ν(H 2 O); ν(H) = 2 0.05 = 0.1 mol.

Therefore, the masses of carbon and hydrogen will be equal:

m(C) = ν(C) M(C) = 0.1 12 = 1.2 g;

m(N) = ν(N) M(N) = 0.1 1 =0.1 g.

We determine the qualitative composition of the substance:

m(in-va) = m(C) + m(H) = 1.2 + 0.1 = 1.3 g.

Consequently, the substance consists only of carbon and hydrogen (see the problem statement). Let us now determine its molecular weight based on the given condition tasks hydrogen density of a substance.

M(v-va) = 2 D H2 = 2 39 = 78 g/mol.

ν(С) : ν(Н) = 0.1: 0.1

Dividing the right side of the equality by the number 0.1, we get:

ν(С) : ν(Н) = 1: 1

Let us take the number of carbon (or hydrogen) atoms as “x”, then, multiplying “x” by the atomic masses of carbon and hydrogen and equating this sum to the molecular mass of the substance, we solve the equation:

12x + x = 78. Hence x = 6. Therefore, the formula of the substance is C 6 H 6 – benzene.

Molar volume of gases. Laws of ideal gases. Volume fraction.

The molar volume of a gas is equal to the ratio of the volume of the gas to the amount of substance of this gas, i.e.

V m = V(X)/ ν(x),

where V m is the molar volume of gas - a constant value for any gas under given conditions; V(X) – volume of gas X; ν(x) is the amount of gas substance X. The molar volume of gases under normal conditions (normal pressure pH = 101,325 Pa ≈ 101.3 kPa and temperature Tn = 273.15 K ≈ 273 K) is V m = 22.4 l /mol.

In calculations involving gases, it is often necessary to switch from these conditions to normal ones or vice versa. In this case, it is convenient to use the formula following from the combined gas law of Boyle-Mariotte and Gay-Lussac:

──── = ─── (3)

Where p is pressure; V – volume; T - temperature in Kelvin scale; the index “n” indicates normal conditions.

The composition of gas mixtures is often expressed using the volume fraction - the ratio of the volume of a given component to the total volume of the system, i.e.

where φ(X) is the volume fraction of component X; V(X) – volume of component X; V is the volume of the system. Volume fraction is a dimensionless quantity; it is expressed in fractions of a unit or as a percentage.

7. Which volume will take at a temperature of 20 o C and a pressure of 250 kPa ammonia weighing 51 g?

Given: m(NH 3)=51 g; p=250 kPa; t=20 o C.

Find: V(NH 3) =?

Solution: determine the amount of ammonia substance:

ν(NH 3) = m(NH 3)/ M(NH 3) = 51/17 = 3 mol.

The volume of ammonia under normal conditions is:

V(NH 3) = V m ν(NH 3) = 22.4 3 = 67.2 l.

Using formula (3), we reduce the volume of ammonia to these conditions [temperature T = (273 +20) K = 293 K]:

p n TV n (NH 3) 101.3 293 67.2

V(NH 3) =──────── = ───────── = 29.2 l.

8. Define volume, which will be occupied under normal conditions by a gas mixture containing hydrogen, weighing 1.4 g, and nitrogen, weighing 5.6 g.

Given: m(N 2)=5.6 g; m(H 2)=1.4; Well.

Find: V(mixtures)=?

Solution: find the amounts of hydrogen and nitrogen substances:

ν(N 2) = m(N 2)/ M(N 2) = 5.6/28 = 0.2 mol

ν(H 2) = m(H 2)/ M(H 2) = 1.4/ 2 = 0.7 mol

Since under normal conditions these gases do not interact with each other, the volume of the gas mixture will be equal to the sum of the volumes of the gases, i.e.

V(mixtures)=V(N 2) + V(H 2)=V m ν(N 2) + V m ν(H 2) = 22.4 0.2 + 22.4 0.7 = 20.16 l.

Calculations using chemical equations

Calculations using chemical equations (stoichiometric calculations) are based on the law of conservation of mass of substances. However, in real chemical processes, due to incomplete reaction and various losses of substances, the mass of the resulting products is often less than that which should be formed in accordance with the law of conservation of mass of substances. The yield of the reaction product (or mass fraction of yield) is the ratio, expressed as a percentage, of the mass of the actually obtained product to its mass, which should be formed in accordance with the theoretical calculation, i.e.

η = /m(X) (4)

Where η is the product yield, %; m p (X) is the mass of product X obtained in the real process; m(X) – calculated mass of substance X.

In those tasks where the product yield is not specified, it is assumed that it is quantitative (theoretical), i.e. η=100%.

9. How much phosphorus needs to be burned? for getting phosphorus (V) oxide weighing 7.1 g?

Given: m(P 2 O 5) = 7.1 g.

Find: m(P) =?

Solution: we write down the equation for the combustion reaction of phosphorus and arrange the stoichiometric coefficients.

4P+ 5O 2 = 2P 2 O 5

Determine the amount of substance P 2 O 5 resulting in the reaction.

ν(P 2 O 5) = m(P 2 O 5)/ M(P 2 O 5) = 7.1/142 = 0.05 mol.

From the reaction equation it follows that ν(P 2 O 5) = 2 ν(P), therefore, the amount of phosphorus required in the reaction is equal to:

ν(P 2 O 5)= 2 ν(P) = 2 0.05= 0.1 mol.

From here we find the mass of phosphorus:

m(P) = ν(P) M(P) = 0.1 31 = 3.1 g.

10. Magnesium weighing 6 g and zinc weighing 6.5 g were dissolved in excess hydrochloric acid. What volume hydrogen, measured under standard conditions, will stand out wherein?

Given: m(Mg)=6 g; m(Zn)=6.5 g; Well.

Find: V(H 2) =?

Solution: we write down the reaction equations for the interaction of magnesium and zinc with hydrochloric acid and arrange the stoichiometric coefficients.

Zn + 2 HCl = ZnCl 2 + H 2

Mg + 2 HCl = MgCl 2 + H 2

We determine the amounts of magnesium and zinc substances that reacted with hydrochloric acid.

ν(Mg) = m(Mg)/ М(Mg) = 6/24 = 0.25 mol

ν(Zn) = m(Zn)/ M(Zn) = 6.5/65 = 0.1 mol.

From the reaction equations it follows that the amounts of metal and hydrogen substances are equal, i.e. ν(Mg) = ν(H 2); ν(Zn) = ν(H 2), we determine the amount of hydrogen resulting from two reactions:

ν(H 2) = ν(Mg) + ν(Zn) = 0.25 + 0.1 = 0.35 mol.

We calculate the volume of hydrogen released as a result of the reaction:

V(H 2) = V m ν(H 2) = 22.4 0.35 = 7.84 l.

11. When a volume of 2.8 liters of hydrogen sulfide (normal conditions) was passed through an excess solution of copper (II) sulfate, a precipitate weighing 11.4 g was formed. Determine the exit reaction product.

Given: V(H 2 S)=2.8 l; m(sediment)= 11.4 g; Well.

Find: η =?

Solution: we write down the equation for the reaction between hydrogen sulfide and copper (II) sulfate.

H 2 S + CuSO 4 = CuS ↓+ H 2 SO 4

We determine the amount of hydrogen sulfide involved in the reaction.

ν(H 2 S) = V(H 2 S) / V m = 2.8/22.4 = 0.125 mol.

From the reaction equation it follows that ν(H 2 S) = ν(СuS) = 0.125 mol. This means we can find the theoretical mass of CuS.

m(СuS) = ν(СuS) М(СuS) = 0.125 96 = 12 g.

Now we determine the product yield using formula (4):

η = /m(X)= 11.4 100/ 12 = 95%.

12. Which one weight ammonium chloride is formed by the interaction of hydrogen chloride weighing 7.3 g with ammonia weighing 5.1 g? Which gas will remain in excess? Determine the mass of the excess.

Given: m(HCl)=7.3 g; m(NH 3)=5.1 g.

Find: m(NH 4 Cl) =? m(excess) =?

Solution: write down the reaction equation.

HCl + NH 3 = NH 4 Cl

This task is about “excess” and “deficiency”. We calculate the amounts of hydrogen chloride and ammonia and determine which gas is in excess.

ν(HCl) = m(HCl)/ M(HCl) = 7.3/36.5 = 0.2 mol;

ν(NH 3) = m(NH 3)/ M(NH 3) = 5.1/ 17 = 0.3 mol.

Ammonia is in excess, so we calculate based on the deficiency, i.e. for hydrogen chloride. From the reaction equation it follows that ν(HCl) = ν(NH 4 Cl) = 0.2 mol. Determine the mass of ammonium chloride.

m(NH 4 Cl) = ν(NH 4 Cl) М(NH 4 Cl) = 0.2 53.5 = 10.7 g.

We have determined that ammonia is in excess (in terms of the amount of substance, the excess is 0.1 mol). Let's calculate the mass of excess ammonia.

m(NH 3) = ν(NH 3) M(NH 3) = 0.1 17 = 1.7 g.

13. Technical calcium carbide weighing 20 g was treated with excess water, obtaining acetylene, which, when passed through excess bromine water, formed 1,1,2,2-tetrabromoethane weighing 86.5 g. Determine mass fraction CaC 2 in technical carbide.

Given: m = 20 g; m(C 2 H 2 Br 4) = 86.5 g.

Find: ω(CaC 2) =?

Solution: we write down the equations for the interaction of calcium carbide with water and acetylene with bromine water and arrange the stoichiometric coefficients.

CaC 2 +2 H 2 O = Ca(OH) 2 + C 2 H 2

C 2 H 2 +2 Br 2 = C 2 H 2 Br 4

Find the amount of tetrabromoethane.

ν(C 2 H 2 Br 4) = m(C 2 H 2 Br 4)/ M(C 2 H 2 Br 4) = 86.5/ 346 = 0.25 mol.

From the reaction equations it follows that ν(C 2 H 2 Br 4) = ν(C 2 H 2) = ν(CaC 2) = 0.25 mol. From here we can find the mass of pure calcium carbide (without impurities).

m(CaC 2) = ν(CaC 2) M(CaC 2) = 0.25 64 = 16 g.

We determine the mass fraction of CaC 2 in technical carbide.

ω(CaC 2) =m(CaC 2)/m = 16/20 = 0.8 = 80%.

Solutions. Mass fraction of solution component

14. Sulfur weighing 1.8 g was dissolved in benzene with a volume of 170 ml. The density of benzene is 0.88 g/ml. Define mass fraction sulfur in solution.

Given: V(C 6 H 6) = 170 ml; m(S) = 1.8 g; ρ(C 6 C 6) = 0.88 g/ml.

Find: ω(S) =?

Solution: to find the mass fraction of sulfur in a solution, it is necessary to calculate the mass of the solution. Determine the mass of benzene.

m(C 6 C 6) = ρ(C 6 C 6) V(C 6 H 6) = 0.88 170 = 149.6 g.

Find the total mass of the solution.

m(solution) = m(C 6 C 6) + m(S) = 149.6 + 1.8 = 151.4 g.

Let's calculate the mass fraction of sulfur.

ω(S) =m(S)/m=1.8 /151.4 = 0.0119 = 1.19%.

15. Iron sulfate FeSO 4 7H 2 O weighing 3.5 g was dissolved in water weighing 40 g. Determine mass fraction of iron (II) sulfate in the resulting solution.

Given: m(H 2 O)=40 g; m(FeSO 4 7H 2 O) = 3.5 g.

Find: ω(FeSO 4) =?

Solution: find the mass of FeSO 4 contained in FeSO 4 7H 2 O. To do this, calculate the amount of the substance FeSO 4 7H 2 O.

ν(FeSO 4 7H 2 O)=m(FeSO 4 7H 2 O)/M(FeSO 4 7H 2 O)=3.5/278=0.0125 mol

From the formula of iron sulfate it follows that ν(FeSO 4) = ν(FeSO 4 7H 2 O) = 0.0125 mol. Let's calculate the mass of FeSO 4:

m(FeSO 4) = ν(FeSO 4) M(FeSO 4) = 0.0125 152 = 1.91 g.

Considering that the mass of the solution consists of the mass of iron sulfate (3.5 g) and the mass of water (40 g), we calculate the mass fraction of ferrous sulfate in the solution.

ω(FeSO 4) =m(FeSO 4)/m=1.91 /43.5 = 0.044 =4.4%.

Problems to solve independently

1. 50 g of methyl iodide in hexane were exposed to metallic sodium, and 1.12 liters of gas were released, measured under normal conditions. Determine the mass fraction of methyl iodide in the solution. Answer: 28,4%.
2. Some alcohol was oxidized to form a monocarboxylic acid. When burning 13.2 g of this acid, carbon dioxide was obtained, the complete neutralization of which required 192 ml of KOH solution with a mass fraction of 28%. The density of the KOH solution is 1.25 g/ml. Determine the formula of alcohol. Answer: butanol.
3. The gas obtained by reacting 9.52 g of copper with 50 ml of an 81% nitric acid solution with a density of 1.45 g/ml was passed through 150 ml of a 20% NaOH solution with a density of 1.22 g/ml. Determine the mass fractions of dissolved substances. Answer: 12.5% ​​NaOH; 6.48% NaNO 3 ; 5.26% NaNO2.
4. Determine the volume of gases released during the explosion of 10 g of nitroglycerin. Answer: 7.15 l.
5. A sample of organic matter weighing 4.3 g was burned in oxygen. The reaction products are carbon monoxide (IV) with a volume of 6.72 l (normal conditions) and water with a mass of 6.3 g. The vapor density of the starting substance with respect to hydrogen is 43. Determine the formula of the substance. Answer: C 6 H 14.

Let's move on to consider task No. 5 in the OGE in chemistry or A5. This question is devoted to the classification of substances in chemistry, it examines the main classes of inorganic substances and nomenclature. The question is quite comprehensive, so I have compiled diagrams that will help you understand better.

Theory for task No. 5 OGE in chemistry

So, as we have already discussed in the previous question A3, substances can be simple and complex. Simple ones consist of atoms of one element; complex ones consist of atoms of different elements. Simple substances, in turn, are divided into metals and non-metals. Complex substances have more classes - oxides, acids, bases, alkalis.

Let's consider the classification of oxides. Oxides are compounds of oxygen with other elements. Depending on which element oxygen forms a compound with, oxides are divided into basic, acidic and amphoteric.

• Basic oxides form metals in oxidation states +1 and +2 (K2O, MgO)
• Acidic oxides are formed predominantly by non-metals (SO3, N2O5)
• Metals Zn and Al form amphoteric oxides (ZnO, Al2O3)

There are exceptions to all rules, but more about them another time. In addition, these exceptions do not appear in the OGE and the Unified State Exam.

Classification of hydroxides

Hydroxides are products of the combination of oxides with water. Depending on what kind of oxide it was, hydroxides are divided into bases, acids and amphoteric bases. Basic oxides form bases, acidic ones, respectively, acids, amphoteric oxides form amphoteric bases - substances that exhibit the properties of both acids and bases. In turn, bases are divided into soluble - alkalis, and insoluble.

Acids have different classifications. There are oxygen-containing and oxygen-free acids. The difference between the former and the latter is that the former contain oxygen in their molecule, while the latter consist only of the element and hydrogen (HCl, for example). Oxygen-free acids are formed directly by the interaction of the element (Cl2) and hydrogen (H2), while oxygen-containing acids are formed by the interaction of oxides with water.

Classification by basicity refers to the number of protons donated by an acid molecule upon complete dissociation. Monobasic acids dissociate to form one proton, dibasic acids - two, and so on.

Classification according to the degree of dissociation shows how easily dissociation occurs (the removal of a proton from an acid molecule). Depending on this, strong and weak acids are distinguished.

Salts are divided into medium, acidic and basic. Acidic salts contain a proton, while basic salts contain a hydroxy group. Acidic salts are the product of the interaction of an excess acid with a base; basic salts, on the contrary, are a product of the interaction of an excess base with an acid.

Let's summarize the topic covered.

• Oxides – complex substances consisting of two chemical elements, one of which is oxygen .
• Grounds – metal ions And hydroxide ions .
• Acids – These are complex substances consisting of hydrogen ions And acid residues .
• Salts – These are complex substances consisting of metal ions And acid residues .

Analysis of typical options for task No. 5 OGE in chemistry

First version of the task

The formula for sodium hydroxide is

1. NaOH
2. NaHCO3
3. Na 2 CO 3

Let's consider each case. NaH is a compound of sodium metal with hydrogen - such compounds are called hydrides , but not hydroxides. NaOH is formed by a metal cation - sodium and a hydroxo group. This is sodium hydroxide according to the classification. NaHCO3 - acid salt - sodium bicarbonate. It is formed by a carbonic acid residue and a sodium cation. Na 2 CO 3 - middle salt - sodium carbonate.