A box containing N molecules of a perfect gas at temperature 
and pressure 
. The number of molecules in the box is doubled keeping the total kinetic energy of the gas same as before. If the new pressure is 
and temperature 
, then [MP PMT 1992]
A
, 
B
, 
C
, 
D
, 
Text Solution
Verified by ExpertsThe correct answer is:
B
Kinetic energy of N molecule of gas 
Initially 
and finally 
But according to problem 
and 
∴ ∴ 
⇒ ⇒ 
Since the kinetic energy constant 
⇒ ⇒ 
∴ ∴ NT = constant
From ideal gas equation of N molecule 
⇒ ⇒ 
∴ ∴ 
and NT = constant]
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