STANDARDPhysics-Thermodynamics

STANDARD Physics First Law of Thermodynamics MCQ Question

Type: MCQ-numerical-Medium-Class 11

If R is universal gas constant, the amount of needed to raise the temperature of 2 moles of an ideal monatomic gas from 273 K to 373 K when no work is done is

A

100 R

B

150 R

C

300 R

D

500 R

Correct Answer

Option C

Detailed Explanation

As no work is done, ΔW = 0. According to the first law of thermodynamics, ΔQ = ΔU + ΔW = nCᵥΔT = n(R/(γ-1))ΔT. Here, n = 2, γ = 5/3. ΔT = 373 - 273 = 100 K. Therefore, ΔQ = 2 × (R/(5/3 - 1)) × 100 = 300 R.

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