Q137 / 160 · TS EAMCET 2025 (03 May Shift 1) · Physics

Three moles of an ideal gas undergoes a cyclic process ABCA as shown in the figure. The pressure, volume and absolute temperature at points $\mathrm{A}, \mathrm{B}$ and C are respectively $\left(\mathrm{P}_1, \mathrm{~V}_1\right.$, $\left.T_1\right),\left(P_2, 3 V_1, T_1\right)$ and $\left(P_2, V_1, T_2\right)$. Then the total work done in the cycle ABCA is (R- Universal gas constant). Figure

  • A
    $\mathrm{RT}_1[3 \ln (3)+2]$
  • B
    $\mathrm{RT}_1[3 \ln (2)]$
  • C
    $3 \mathrm{RT}_1(\ln 3)$
  • Correct answer
    D
    $\mathrm{RT}_1[3 \ln (3)-2]$

Hence, the correct answer is option: 'D'.

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