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MHT CET 202624 AprilEvening Shift
Exam
MHT CET
Year
2026
Date
24 April
Shift
Evening Shift
Subject
Physics
Chapter
Kinetic Theory of Gases

MHT CET 2026 · 24 April · Evening Shift · Physics · Kinetic Theory of Gases

The pressure P , volume V and temperature T of a gas in the jar A...

The pressure PP, volume VV and temperature TT of a gas in the jar A and the other gas in the jar B is at pressure 2P2P, volume V/4V/4 and temperature 2T2T, then the ratio of the number of molecules in the jar A and B will be

Options

  1. A1:11 : 1
  2. B1:21 : 2
  3. C2:12 : 1
  4. D4:14 : 1

Correct answer

D. 4:14 : 1

Step-by-step solution

Using the ideal gas equation, PV=NkTPV = NkT, where NN is the number of molecules.

For jar A:
NA=PVkTN_A = \dfrac{PV}{kT}

For jar B:
NB=PBVBkTB=(2P)(V/4)k(2T)=PV/22kT=PV4kTN_B = \dfrac{P_B V_B}{k T_B} = \dfrac{(2P)(V/4)}{k(2T)} = \dfrac{PV/2}{2kT} = \dfrac{PV}{4kT}

Ratio of number of molecules:
NANB=PVkTPV4kT=41\dfrac{N_A}{N_B} = \dfrac{\dfrac{PV}{kT}}{\dfrac{PV}{4kT}} = \dfrac{4}{1}

The ratio is 4:14 : 1.

Answer: 4:14 : 1
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