AP EAMCET · PHYSICS · Thermodynamics

A system is taken from state $- A$ to state $- B$ along two different paths. The heat absorbed and work done by the system along these two paths are $Q_{1}, Q_{2}$ and $W_{1}, W_{2}$ respectively, then

A $Q_{1} = Q_{2}$
B $W_{1} = W_{2}$
C $Q_{1} - W_{1} = Q_{2} - W_{2}$
D $Q_{1} + W_{1} = Q_{2} + W_{2}$

Verified Solution

Answer & Solution

Correct Answer

(C) $Q_{1} - W_{1} = Q_{2} - W_{2}$

Step-by-step Solution

Detailed explanation

Internal energy for a thermodynamic process is a point function, it does not depend upon the path or process it only depends upon the initial and final state of the process. Therefore, if two different processes have the same initial and final state then the internal energy of…

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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A system is taken from state-A to state-B along two different paths. The heat absorbed and work done by the system along these two paths are Q1,Q2 and W1,W2 respectively, then

Step-by-step Solution

A system is taken from state $- A$ to state $- B$ along two different paths. The heat absorbed and work done by the system along these two paths are $Q_{1}, Q_{2}$ and $W_{1}, W_{2}$ respectively, then