Answer :

Let us use the formula,


Heat supplied to a gas, dQ = nCvdT.


Where,


n is the number of mole of the ags


Cv is the specific heat of the gas at constant volume T is the temperature


Putting the values in the above formula, we get


dQ = 3.0 cal = (3.0 x 4.2)J = 12.6 J.


dT = 1°C, n = 1.


Therefore, Cv is approximately equal to 12.6 J/mol/°C ~ 1.5R = 3R/2


We know,


Where Cp = specific heat at constant pressure


R = universal gas constant = 8.314 J/kg/mol


which holds for monoatomic gases.


Helium and Argon are monoatomic and so options (a) and (b) hold.

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