Answer :

We know that internal energy at a temperature


U=nCvT


Where U=internal energy


n=number of moles


Cv=molar specific heat at constant volume


T=temperature


Air in home is chiefly diatomic molecules, so


Cv for diatomic moles is given as



So,



We know ideal gas equation


PV=nRT


Where V= volume of gas


R=gas constant=8.31Jmol-1K-1


T=temperature


n=number of moles of gas


P=pressure of gas


Substituting the value of nRT from ideal gas equation to U



Now, it is given in question that pressure remains constant throughout the day and volume V of room is also constant. So, PV is a constant.


Hence U is also constant.


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