States of Matter 1 Question 82

83. Calculate the volume occupied by $5.0 \mathrm{~g}$ of acetylene gas at $50^{\circ} \mathrm{C}$ and $740 \mathrm{~mm}$ pressure.

(1991, 2M)

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Answer:

Correct Answer: 83. $(41.32 \mathrm{~g})$

Solution:

$$ V=\frac{n R T}{p} $$

For acetylene gas, $5 \mathrm{~g}=\frac{5}{26} \mathrm{~mol}$

$$ \begin{aligned} & p=740 \mathrm{~mm}=\frac{740}{760} \mathrm{~atm} \ & T=50^{\circ} \mathrm{C}=323 \mathrm{~K} \end{aligned} $$

Substituting in ideal gas equation

$$ V=\frac{5}{26} \times \frac{0.082 \times 323}{74} \times 76=5.23 \mathrm{~L} $$