States of Matter - Result Question 40
####40. Cyclopropane and oxygen at partial pressures 170 torr and 570 torr respectively are mixed in a gas cylinder. What is the ratio of the number of moles of cyclopropane to the number of moles of oxygen $(nC_3 H_6 / nO_2)$ ?
[1996]
(a) $\frac{170 \times 42}{570 \times 32}=0.39$
(b) $\frac{170}{42} /(\frac{170}{42}+\frac{570}{32}) \approx 0.19$
(c) $\frac{170}{740}=0.23$
(d) $\frac{170}{570}=0.30$
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Solution:
- (d) By Ideal gas equation $P_1 V=n_1 R T$
$n_1 \propto P_1$ and $n_2 \propto P_2$
$\frac{n_1}{n_2}=\frac{P_1}{P_2} \Rightarrow \frac{n_1}{n_2}=\frac{170}{570}=0.30$
