MHT CET202620 April 2026Morning ShiftPhysicsKinetic Theory of GasesActual
Gas at pressure P, temperature T, and volume V is filled in jar A. Another jar B is filled with gas having parameters 2P , V 4 , 2T . The ratio of number of molecules of jar B to those of jar A is
Options
- A1:2
- B1:4
- C2:1
- D4:1
Correct answer
B. 1:4
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 = (2P) ( V 4 ) k(2T) = PV 4kT Taking the ratio of the number of molecules in jar B to jar A: N_B N_A = PV 4kT PV kT = 1 4 The ratio is 1:4 . Answer: 1:4