TS EAMCET · Physics · Wave Optics

The $P - V$ diagram shown below indicates two paths along which a sample of gas can be taken from state $A$ to state $B$ . The energy equal to $5 P V$ in the form of heat is required to be transferred if the Path- $1$ is chosen. How much energy in the form of heat should be transferred if Path- $2$ is chosen?

A $\frac{11}{2} P V$
B $6 P V$
C $\frac{9}{2} P V$
D $7 P V$

Verified Solution

Answer & Solution

Correct Answer

(A) $\frac{11}{2} P V$

Step-by-step Solution

Detailed explanation

According to the first law of thermodynamics Q=∆U+W, where Q is the heat transfer to the system, ∆U is the change in the internal energy, and W is the work done by the system. Applying for the Path 1, putting the value from the given figure 5PV=f2nR∆T+W…

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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The P-Vdiagram shown below indicates two paths along which a sample of gas can be taken from state A to state B. The energy equal to 5PV in the form of heat is required to be transferred if the Path-1 is chosen. How much energy in the form of heat should be transferred if Path-2 is chosen?

Step-by-step Solution