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MHT CET Medical202624 April 2026Evening ShiftPhysicsKinetic Theory of GasesActual

The pressure P , volume V and temperature T of a gas in the jar A and the other gas in the jar B is at pressure 2P , volume V/4 and temperature 2T , then the ratio of the number of molecules in the jar A and B will be

Options

  1. A1 : 1
  2. B1 : 2
  3. C2 : 1
  4. D4 : 1

Correct answer

D. 4 : 1

Step-by-step solution

Using the ideal gas equation, PV = NkT , where N is the number of molecules. For jar A: N_A = PV kT For jar B: N_B = P_B V_B k T_B = (2P)(V/4) k(2T) = PV/2 2kT = PV 4kT Ratio of number of molecules: N_A N_B = PV kT PV 4kT = 4 1 The ratio is 4 : 1 . Answer: 4 : 1

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