A mixture contains 2 mole CH 4 ( g ) and 4 mole SO 3 ( g ) in a closed container. If SO 3 ( g ) is dissociated into SO 2 ( g ) and O 2 ( g ) by 50% , then choose the correct statement ( s )

Question

A mixture contains 2 mole CH 4 ​ ( g ) and 4 mole SO 3 ​ ( g ) in a closed container. If SO 3 ​ ( g ) is dissociated into SO 2 ​ ( g ) and O 2 ​ ( g ) by 50% , then choose the correct statement ( s ) :

TestHub · Accepted Answer

Initial mixture:

2 mol CH₄ + 4 mol SO₃

Total mass = $2 (16) + 4 (80) = 352 g$

Initial average molar mass:

$\frac{352}{6} = 58.67 g / m o l$

(A Incorrect)

50% SO₃ dissociates = 2 mol SO₃

$2 S O_{3} \to 2 S O_{2} + O_{2}$

After dissociation:

CH₄ = 2, SO₃ = 2, SO₂ = 2, O₂ = 1

Total moles = 7, mass remains 352 g

Average molar mass:

$\frac{352}{7} g / m o l$

(C correct)

Decrease:

$\frac{\frac{352}{6} - \frac{352}{7}}{\frac{352}{6}} \times 100 = \frac{1}{7} \times 100 = 14.28%$

(D correct)

Correct Answer: C, D

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