A rigid container of negligible heat capacity contains 1 mole of an ideal gas. The temperature of the gas increases by 1°C if 3 cal of heat is added to it. The gas may be

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Q: A rigid container of negligible heat capacity contains 1 mole of an ideal gas. The temperature of the gas increases by 1°C if 3 cal of heat is added to it. The gas may be

(i) Helium
(ii) argon
(iii) oxygen
(iv) carbon dioxide

(a) (i), (ii)

(b) (ii), (iii)

(c) (iii), (iv)

(d) (i), (iv)

Ans: (a)

Sol: Since container is Rigid i.e., volume is constant .

n = 1, ∆Q = 3 cal, ∆T = 1 °C

∆Qv = n Cv ∆T

3 = 1 × Cv × 1

Cv = 3 cal/mole °C

Cp = Cv + R

Cp = 3 + 2 = 5 cal/mole °C

γ = Cp/Cv = 5/3, i.e., monoatomic gas.

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