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KCET · Physics · Thermodynamics

One mole of an ideal monoatomic gas is taken round the cyclic process MNOM. The work done by the gas is

  1. A \(4.5 p_0 V_0\)
  2. B \(4 p_0 V_0\)
  3. C \(9 p_0 V_0\)
  4. D \(2 p_0 V_0\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(2 p_0 V_0\)

Step-by-step Solution

Detailed explanation

Work done in cyclic process,

\(W=\) Area enclosed in cyclic process
\(=\frac{1}{2} \times O N \times O M\)
\(=\frac{1}{2} \times\left(3 V_0-V_0\right) \times\left(3 p_0-p_0\right)\)
\(=V_0 \times 2 p_0=2 p_0 V_0\)