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NEET 2015

Exam: NEET
Year: 2015
Subject: Physics
Chapter: Kinetic Theory of Gases

NEET 2015 · Physics · Kinetic Theory of Gases

Two vessels separately contain two ideal gases A and B at the same...

Two vessels separately contain two ideal gases

A

and

B

at the same temperature, the pressure of

A

being twice that of

B

.~Under such conditions, the density of

A

is found to be

\text{1.5}

times the density of

B

. The ratio of molecular weights of

A

and

B

is

Options

A $\dfrac{3}{4}$
B $2$
C $\dfrac{1}{2}$
D $\dfrac{2}{3}$

Correct answer

A. $\dfrac{3}{4}$

Step-by-step solution

${P}_{A} = \dfrac{{ρ}_{A}RT}{{M}_{A}}, {P}_{B} = \dfrac{{ρ}_{B}RT}{{M}_{B}}$

$⇒ \dfrac{{P}_{A}}{{P}_{B}} = \dfrac{{ρ}_{A}}{{ρ}_{B}}\dfrac{{M}_{B}}{{M}_{A}}$

$⇒ \dfrac{3}{2}\dfrac{{M}_{B}}{{M}_{A}} = 2$
So, $\dfrac{{M}_{A}}{{M}_{B}} = \dfrac{3}{4}$

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