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AIIMS 201826 May

Exam: AIIMS
Year: 2018
Date: 26 May
Subject: Chemistry
Chapter: States of Matter

AIIMS 2018 · 26 May · Chemistry · States of Matter

Two separate bulbs contain gas A and gas B . The density of gas A...

Two separate bulbs contain gas

A

and gas

B

. The density of gas

A

is twice as that of

B

. The molecular mass of

A

is half as that of

B

. If temperature is constant, the ratio of the pressure of

A

and

B

is

Options

A $1: 1$
B $1: 2$
C $4: 1$
D $2: 1$

Correct answer

C. $4: 1$

Step-by-step solution

\begin{aligned} & \text{ } d=\frac{P M}{R T} \\ & \text{ Given : } \frac{d_A}{d_B}=2, \frac{M_A}{M_B}=\frac{1}{2} \\ & \frac{d_A}{d_B}=\frac{P_A M_A}{R T} \times \frac{R T}{P_B M_B}=2 \Rightarrow \frac{P_A}{P_B} \times \frac{M_A}{M_B}=2 \\ & \Rightarrow \frac{P_A}{P_B} \times \frac{1}{2}=2 \Rightarrow \frac{P_A}{P_B}=4: 1\end{aligned}

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