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NEET 2002
Exam
NEET
Year
2002
Subject
Chemistry
Chapter
Thermodynamics (C)

NEET 2002 · Chemistry · Thermodynamics (C)

2 ~moles of the ideal gas at 27^ C temperature is expanded...

2 moles2 \mathrm{~moles} of the ideal gas at 27∘C27^{\circ} \mathrm{C} temperature is expanded reversibly from 2 L2 \mathrm{~L} to 20 L20 \mathrm{~L}. Find the entropy change \left(\mathrm{R}=2 \mathrm{cal} \mathrm{mol}^{-1}\right.K−1)\left.\mathrm{K}^{-1}\right) :

Options

  1. A92.1
  2. B0
  3. C4
  4. D9.2

Correct answer

D. 9.2

Step-by-step solution

ΔS=2.303nRlog⁡10V2 V1=2.303×2×2×log⁡10202=2.303×2×2×1=9.212cal\begin{aligned} & \Delta \mathrm{S}=2.303 \mathrm{n} \mathrm{R} \log _{10} \frac{\mathrm{V}_2}{\mathrm{~V}_1} \\ & =2.303 \times 2 \times 2 \times \log _{10} \frac{20}{2} \\ & =2.303 \times 2 \times 2 \times 1 \\ & =9.212 \mathrm{cal} \end{aligned}
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