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

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

G1 Physics · Accepted Answer

Step 1: Helium is monoatomic, so its molar constant-volume heat capacity is Cᵥ = (3/2)R. Step 2: One gram of helium is n = 1/4 mol because molar mass is 4 g mol⁻¹. Step 3: For heating at constant volume, Q = nCᵥ(T₂ − T₁). Step 4: Q = (1/4) × (3/2)R(T₂ − T₁) = (3/8)R(T₂ − T₁). Step 5: Using R = NAkB, Q = (3/8)NAkB(T₂ − T₁). Final answer: (A).