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The amount of heat energy required to raise the temperature of 1 g of Helium

The amount of heat energy required to raise the temperature of 1g of Helium at NTP, from T₁K to T₂K is

Options

(a) (3/2) Nₐkв (T₂ – T₁)
(b) (3/4) Nₐkв (T₂ – T₁)
(c) (3/2) Nₐkв (T₂ / T₁)
(d) (3/8) Nₐkв (T₂ – T₁)

Correct Answer:

(3/8) Nₐkв (T₂ – T₁)

Explanation:

From first law of thermodynamics ∆Q = ∆U + ∆W
= (3/2) . (1/4) R (T₂ – T₁) + 0
= (3/8) Nₐkв (T₂ – T₁) [Since K = R / N ]

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