આદર્શ વાયુ \((0.1 \mathrm{~mol})\) કે જે \(\overline{\mathrm{C}}_{\mathrm{v}}=1.50 \mathrm{R}\) (તાપમાનથી સ્વતંત્ર) ધરાવે છે, તે ઉપર દર્શાવેલ રૂપાંતરણ બિંદુ 1 થી બિંદુ 4 સુધી પસાર થાય છે. જો દરેક તબક્કો પ્રતિવર્તી હોય, તો બિંદુ 1 થી બિંદુ 4 સુધી જતાં થયેલ કુલ કાર્ય (w) \((-)\) ________ J છે.(નજીકના પૂર્ણાંકમાં) \(\left[\right.\) આપેલ છે : \(\left.\mathrm{R}=0.082 \mathrm{~L} \mathrm{~atm} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}\right]\)

A 304
B 305
C 306
D 307

Verified Solution

Answer & Solution

Correct Answer

(A) 304

Step-by-step Solution

Detailed explanation

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

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

Same subject

Explore more questions on app

From JEE Mains

Explore more questions on app

	\(1\)	\(2\)	\(3\)
\(\text{HI} \left(\text{molL} ^{-1}\right)\)	\(0.005\)	\(0.01\)	\(0.02\)
Rate \(\left(\text{molL} ^{-1}\text s-1\right)\)	\(7.5 \times 10^{-4}\)	\(3.0 \times 10^{-3}\)	\(1.2 \times 10^{-2}\)