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Goryan [66]
3 years ago
14

What is the molecular formula of a compound that contains 38.6% C, 45% N, and 16.4% H, if 0.158 g of the compound occupies 125 m

L with a pressure of 0.982 atm at 22oC?
Chemistry
1 answer:
Anettt [7]3 years ago
5 0

Answer:

Molecular formula => CH₅N

Explanation:

We'll begin by calculating the number of mole of the compound. This can be obtained as follow:

Pressure (P) = 0.982 atm

Volume (V) = 125 mL = 125 / 1000 = 0.125 L

Temperature (T) = 22 °C = 22 + 273 = 295 K

Gas constant (R) = 0.0821 atm.L/Kmol

Number of mole (n) =?

PV = nRT

0.982 × 0.125 = n × 0.0821 × 295

0.12275 = n × 24.2195

Divide both side by 24.2195

n = 0.12275 / 24.2195

n = 0.0051 mole

Next, we shall determine the molar mass of the compound.

Mass of compound = 0.158 g

Mole of compound = 0.0051 mole

Molar mass of compound =?

Mole = mass /molar mass

0.0051 = 0.158 / molar mass

Cross multiply

0.0051 × molar mass = 0.158

Divide both side by 0.0051

Molar mass = 0.158 / 0.0051

Molar mass of compound = 31 g/mol

Next, we shall determine the empirical formula of the compound. This can be obtained as follow:

C = 38.6%

H = 16.4%

N = 45%

Divide by their molar mass

C = 38.6 / 12 = 3.217

H = 16.4 / 1 = 16.4

N = 45 / 14 = 3.214

Divide by the smallest

C = 3.217 / 3.214 = 1

H = 16.4 / 3.214 = 5

N = 3.214 / 3.214 = 1

Empirical formula => CH₅N

Finally, we shall determine the molecular formula of the compound. This can be obtained as follow:

Empirical formula = CH₅N

Molar mass of compound = 31 g/mol

Molecular formula = Empirical × n = molar mass of compound

[CH₅N]ₙ = 31

[12 + (5×1) + 14]n = 31

[12 + 5 + 14]n = 31

31n = 31

Divide both side by 31

n = 31 / 31

n = 1

Molecular formula => [CH₅N]ₙ

Molecular formula => [CH₅N]₁

Molecular formula => CH₅N

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For the following reaction, 6.94 grams of water are mixed with excess sulfur dioxide . Assume that the percent yield of sulfurou
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#a. Theoretical yield = 31.6 g

#b. Actual yield = 25.72 g

<h3>Explanation:</h3>

The equation for the reaction between sulfur dioxide and water to form sulfurous acid is given by the equation;

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                        = 0.385 mol

Step 2: Calculate moles of H₂SO₃

From the equation, the mole ratio of water to H₂SO₃ is 1 : 1

Therefore, moles of water = moles of H₂SO₃

Hence, moles of H₂SO₃ = 0.385 mol

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Mass = moles × Molar mass

Molar mass of H₂SO₃ = 82.08 g/mol

Number of moles of H₂SO₃ = 0.385 mol

Therefore;

Theoretical mass of H₂SO₃ = 0.385 mol ×  82.08 g/mol

                                             = 31.60 g

Thus, the theoretical yield of H₂SO₃ is 31.6 g

<h3>#b. Calculating the actual yield</h3>

We need to calculate the actual yield

Percent yield of H₂SO₃ is 81.4%

Theoretical yield is 31.60 g

But; Percent yield = (Actual yield/theoretical yield)×100

Therefore;

Actual yield = Percent yield × theoretical yield)÷ 100

                   = (81.4 % × 31.6) ÷ 100

                  = 25.72 g

The percent yield of H₂SO₃ is 25.72 g

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