States of Matter - Result Question 82

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

(1991, 2M)

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Answer:

Correct Answer: 83. $(41.32 g)$

Solution:

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

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

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

Substituting in ideal gas equation

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



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