States of Matter - Result Question 82

83. Calculate the volume occupied by $5.0 g$ of acetylene gas at $50^{\circ} C$ and $740 \hspace {1mm} mm$ pressure.

(1991, 2M)

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Answer:

Correct Answer: 83. (5.23 L)

Solution:

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

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

$ \begin{aligned} & p=740 mm=\dfrac{740}{760} \hspace {1mm} atm \hspace {1mm} {(\because 1 \hspace {1mm} atm = 760mm \hspace {1mm} Hg )} \\ & ~ \\ & T=50^{\circ} C=323 K \end{aligned} $

Substituting in ideal gas equation

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