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At a constant volume the specific heat of a gas is 0.075 and its molecular weight is 40. The gas is:

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At a constant volume the specific heat of a gas is 0.075 and its molecular weight is 40. The gas is:

(a) Monoatomic

(b) Diatomic

(c) Triatomic

(d) None of the above

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(a) Monoatomic

Explanation:

We know that, Molar heat capacity at constant volume,

Cv = Specific heat at constant volume × Mol. wt.

= 0.075 × 40 = 3.0 cal

∵ Cp - Cv = R

or Cp = R + Cv = 2 + 3 = 5

Now, Cp /Cv = γ;

∴ γ = 5/3 = 1.66

This value shows that the gas is monoatomic.

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