\(1\,g\) પ્રવાહીનું \(3 \times10^5\) દબાણે વરાળમાં રૂપાંતર કરવામાં આવે છે. જો રૂપાંતરણ દરમિયાન \(1600\,cm ^3\) કદ વધારવા માટે લગાડેલ ઉષ્માનો \(10\%\) ભાગ વપરાતો હોય, તો પ્રક્રિયા દરમિયાન થતો આંતરિક ઉર્જાનો વધારો \(............\,J\)

A \(4320\)
B \(432000\)
C \(4800\)
D \(4.32\)

Verified Solution

Answer & Solution

Correct Answer

(A) \(4320\)

Step-by-step Solution

Detailed explanation

Work done \(= P \Delta V\) \(=3 \times 10^5 \times 1600 \times 10^{-6}\) \(=480\,J\) Only \(10 \%\) of heat is used in work done. Hence \(\Delta Q=4800\,J\) The rest goes in internal energy, which is \(90\,\%\) of heat. Change in internal energy \(=0.9 \times 4800=4320\,J\)

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.

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