AP EAMCET · Chemistry · Thermodynamics (C)

$State 1 ⇆ State 2 ⇆ State 3 (\begin{matrix} T = 300 K \\ P = 15 bar \\ 1 mole \end{matrix}) (\begin{matrix} T = 300 K \\ P = 10 bar \\ 1 mole \end{matrix}) (\begin{matrix} T = 300 K \\ P = 5 bar \\ 1 mole \end{matrix})$ Above shows a cyclic process. Calculate the total work done during one complete cycle.
(Assume a single step to reach the next state).

A $\frac{25}{3} Lbar$
B $\frac{- 25}{3} L bar$
C $\frac{50}{3} L bar$
D $- \frac{50}{3} L bar$

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Answer & Solution

Correct Answer

(C) $\frac{50}{3} L bar$

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Detailed explanation

State 1 ⇆ State 2 ⇆ State 3T=300KP=15bar 1mole T=300KP=10bar 1mole T=300KP=5bar1 mole The forward direction is…

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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State 1 ⇆ State 2 ⇆ State 3T=300KP=15bar 1mole T=300KP=10bar 1mole T=300KP=5bar1 mole Above shows a cyclic process. Calculate the total work done during one complete cycle.(Assume a single step to reach the next state).

Step-by-step Solution