Temperature of 1000 grams of nitrogen is raised from –20 0 …

Physics Thermodynamics Specific Heat Capacity MCQ (Single Correct)

Temperature of 1000 grams of nitrogen is raised from –20 0 C to 100 0 C at constant pressure.

Given: specific heat at constant volume C v = 5 cal/mole 0 C and R = 2Cal/mole 0 C

Heat required in the process is 30 K Cal

Increase in the internal energy of gas is 21 Kcal

If process is at constant volume then heat required is 21 Kcal

external work done is 10 Kcal

Text Solution

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The correct answer is:

CHECK THE SOLUTION.

(a, b, c)

Heat required is - Q = nCp Δ T = n(Cv + R) Δ T = [5 + 2] × 120 = 30 × 10 3 cal Q = 30Kcal

The increase in the internal energy is Δ U = nCv Δ T = × 5 × 120 = 21 Kcal

Q = nCv Δ T + P Δ V for constant volume Δ V = 0Q = nCv Δ T = 21 Kcal

external work done is W = Q – Δ U = 8.6 Kcal

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