KCET · Physics · Thermodynamics
The \(p-V\) diagram of a Carnot's engine is shown in the graph below. The engine uses 1 mole of an ideal gas as working substance. From the graph, the area enclosed by the \(p\) - \(V\) diagram is [The heat supplied to the gas is \(8000 \mathrm{~J}\)]
- A \(1200 \mathrm{~J}\)
- B \(2000 \mathrm{~J}\)
- C \(3000 \mathrm{~J}\)
- D \(1000 \mathrm{~J}\)
Answer & Solution
Correct Answer
(A) \(1200 \mathrm{~J}\)
Step-by-step Solution
Detailed explanation
[Hint Area enclosed by \(p-V\) diagram is equal to
work done] Total work done by gas in one carnot cycle is given by.
\(W=\mu R T_1 \ln \frac{V_2}{V_1}-\mu R T_2 \ln \frac{V_3}{V_4}\)
work done] Total work done by gas in one carnot cycle is given by.
\(W=\mu R T_1 \ln \frac{V_2}{V_1}-\mu R T_2 \ln \frac{V_3}{V_4}\)
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