Mass of helium =0.040g
Molar mass of helium=4g/mol
Number of moles n=
Number of moles for helium n=
Internal energy U in kinetic theory is given as
Where Cv= molar specific heat capacity
N= number of moles
T=temperature of gas
Also, internal energy depends only the temperature of the gas.
Helium is a monoatomic gas and for monoatomic gas
So, Cv for helium is Jmol-1K-1
Increase in internal energy is given in question as 12J. That means
Since the gas has not been changed, just expanded no change in molar specific heat capacity and number of moles of gas.
Putting the value of change in internal energy and T1,
The temperature at which the internal energy is increased by 12J is 469.53J =196.38.
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