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JEE Mains · Chemistry · STD 11 - 5. Thermodynamics and thermochemistry


A perfect gas \((0.1 \mathrm{~mol})\) having \(\overline{\mathrm{C}}_{\mathrm{v}}=1.50 \mathrm{R}\) (independent of temperature) undergoes the above transformation from point 1 to point 4. If each step is reversible, the total work done (w) while going from point 1 to point 4 is \((-)\) ________ J (nearest integer) \(\left[\right.\) Given : \(\left.\mathrm{R}=0.082 \mathrm{~L} \mathrm{~atm} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}\right]\)

  1. A 304
  2. B 305
  3. C 306
  4. D 307
Verified Solution

Answer & Solution

Correct Answer

(A) 304

Step-by-step Solution

Detailed explanation

\(\begin{aligned} & \mathrm{W}_{1 \rightarrow 2}=0 \\ & \mathrm{~W}_{2 \rightarrow 3}=-\mathrm{P} \Delta \mathrm{~V} \\ & =-3[2-1] \\ & =-3 \mathrm{~atm}-\ell \end{aligned}\) \(\mathrm{W}_{3 \rightarrow 4}=0\) Total work done…
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