A box contains 
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
A
, 
,
B
, 
C
, 
D
, 
Text Solution
Verified by ExpertsThe correct answer is:
B
The kinetic energy of 
molecules of gas is 
Initially, 
and finally, 
.
However, according to the problem, 
and 
; therefore,
Since the kinetic energy is constant, we get 
Hence, 
From ideal gas equation 
molecules, 
we have
(as 
and 
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