The specific heat at constant volume for a gas is 0.075 cal/g and at constant pressure is 0.125. find atomicity of gas?

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Answer

Sp heat of gas at constant volume is 0.075 cal/g/degC ie0.075cal is absorbed by 1g of it for 1 degree rise in temperature at constant volume. So total heat absorbed by 1g-mole of the gas is 40*0.075=3 cal.  Since , Cp-Cv=R or Cp=5 so for the gas cp/cv=5/3 and hence the gas is monatomic. (Note:Cp for 1 gm mole is 3cal, not for a mole. So Cp/N=cp). N (Avogadro no) is cancelled in the final equation (cp/cv) hence the gas is monoatomic.

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