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AIIMS 201827 May
Exam
AIIMS
Year
2018
Date
27 May
Subject
Chemistry
Chapter
Thermodynamics (C)

AIIMS 2018 · 27 May · Chemistry · Thermodynamics (C)

What is the entropy change in 2 ~mol ~N_2 , when its temperature is...

What is the entropy change in 2 mol N22 \mathrm{~mol} \mathrm{~N}_2, when its temperature is taken from 400 K400 \mathrm{~K} to 800 K800 \mathrm{~K}, at constant pressure?

Options

  1. A30 J/K30 \mathrm{~J} / \mathrm{K}
  2. B60 J/K60 \mathrm{~J} / \mathrm{K}
  3. C40 J/K40 \mathrm{~J} / \mathrm{K}
  4. D20 J/K20 \mathrm{~J} / \mathrm{K}

Correct answer

C. 40 J/K40 \mathrm{~J} / \mathrm{K}

Step-by-step solution

ΔS=nCpln⁡T2T1=2×72R×ln⁡800400=40 J/K\Delta S=n C_p \ln \frac{T_2}{T_1}=2 \times \frac{7}{2} R \times \ln \frac{800}{400}=40 \mathrm{~J} / \mathrm{K}
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