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A rigid container of negligible heat capacity contains one mole of an ideal gas. The temperature of the gas increases by 1°C it 3.0 cal of heat is added to it. The gas may be
Let us use the formula,
Heat supplied to a gas, dQ = nCvdT.
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
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.