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AIIMS2018Chemistry-Thermodynamics

AIIMS 2018 Chemistry Entropy MCQ Question

Type: MCQ-numerical-Medium-Class 11

What is the entropy change in 2 mol2\text{ mol} of N2\text{N}_2, when its temperature is taken from 400 K400\text{ K} to 800 K800\text{ K}, adiabatically.

A

30 JK30\ \frac{\text{J}}{\text{K}}

B

60 JK60\ \frac{\text{J}}{\text{K}}

C

40 JK40\ \frac{\text{J}}{\text{K}}

D

20 JK20\ \frac{\text{J}}{\text{K}}

Correct Answer

Option C

Detailed Explanation

The calculation of entropy change (ΔS) for an ideal gas using the formula ΔS = nCₚ ln(T₂/T₁) yields a result of 40 J/K when substituting n = 7/2, Cₚ = R, T₂ = 800 K, and T₁ = 400 K. This indicates that the system undergoes a significant increase in disorder as the temperature doubles, which aligns with the principles of thermodynamics. Other options are not applicable or relevant, as they do not provide any alternative calculations or interpretations of the entropy change in this context. Understanding entropy is crucial for grasping the second law of thermodynamics, which states that the total entropy of an isolated system can never decrease over time.

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