The internal energy of a monoatomic gas is 3 nRT . One mole of helium is kept in a cylinder having internal cross section area of 
and fitted with a light movable frictionless piston. The gas is heated slowly by suppling 126 J heat. If the temperature rises by 
, then the piston will move 
cm . (atmospheric pressure 
)
Text Solution
Verified by ExpertsB
The question states the internal energy of the gas is 
.
The change in internal energy is 
.
Given: 
mole, 
, and 
.
.
According to the first law of thermodynamics, 
.
Given heat supplied 
.
Work done by the gas 
.
Since the piston is light and movable, the process occurs at constant atmospheric pressure 
.
Work done 
, where 
is the cross-section area and 
is the displacement of the piston.
.
.
.
.
Converting to 
.
Rounding to the nearest option, we get 15.5 cm .
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