Physics - Heat & Thermo Question with Solution | TestHub

PhysicsHeat & ThermoKTGEasy2 minPYQ_2020

PhysicsEasysingle choice

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 $1.5$ times the density of $B$ . The ratio of molecular weights of $A$ and $B$ is

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Answer:

Solution:

$P_{A} = \frac{ρ_{A} RT}{M_{A}}, P_{B} = \frac{ρ_{B} RT}{M_{B}}$

$\Rightarrow \frac{P_{A}}{P_{B}} = \frac{ρ_{A}}{ρ_{B}} \frac{M_{B}}{M_{A}} = 2$

$\Rightarrow \frac{3}{2} \frac{M_{B}}{M_{A}} = 2$
So, $\frac{M_{A}}{M_{B}} = \frac{3}{4}$

Subject:PhysicsTopic:Heat & ThermoSubtopic:KTG

⏱ 2mℹ️ Source: PYQ_2020

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