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STANDARDPhysics-Kinetic Theory of Gases

STANDARD Physics Pressure and Temperature MCQ Question

Type: MCQ-numerical-Medium-Class 11

A gas is filled in a container at pressure P₀. If the mass of molecules is halved and their rms speed is doubled, then the resultant pressure would be

A

2P₀

B

4P₀

C

P04\frac{P_{0}}{4}

D

P02\frac{P_{0}}{2}

Correct Answer

Option A

Detailed Explanation

Using, P = 13ρvrms2=13mNVvrms2\frac{1}{3} \rho v_{rms}^2 = \frac{1}{3} \frac{mN}{V} v_{rms}^2. ∴ P ∝ mv_{rms}^2. As m is halved and v_{rms} is doubled then P becomes twice or 2P₀.

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