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The amount of heat energy required to raise the temperature of 1 g of Helium at NTP, from T₁ K to T₂ K is

1. 3 / 2 NₐkB(T₂ - T₁)
2. 3 / 4 NₐkB(T₂ - T₁)
3. 3 / 4 NₐkB T₂ / T₁
4. 3 / 8 NₐkB(T₂ - T₁)

Correct answer: 3 / 4 NₐkB(T₂ - T₁)

Solution

The specific heat capacity at constant volume for a monoatomic gas like Helium is (3/2)R per mole. For 1 g of Helium, the number of moles is 1/4 (since molar mass of Helium is 4 g/mol). Thus, the heat required is (3/2) × (1/4) × R × (T₂ - T₁), which simplifies to (3/4)NₐkB(T₂ - T₁).

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