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Heat and Thermodynamics question

2025 · 3 Apr · Shift 2 · Q56
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Heat and Thermodynamics question

2025 · 3 Apr · Shift 2 · Q56

JEE MainPhysicsHeat and ThermodynamicsMCQ+4 / −1
An ideal gas exists in a state with pressure P0P_0P0​, volume V0V_0V0​. It is isothermally expanded to 4 times of its initial volume (V0)\left(\mathrm{V}_0\right)(V0​), then isobarically compressed to its original volume. Finally the system is heated isochorically to bring it to its initial state. The amount of heat exchanged in this process is
  1. A
    P0 V0(ln⁡2−0.75)\mathrm{P}_0 \mathrm{~V}_0(\ln 2-0.75)P0​ V0​(ln2−0.75)
  2. B
    P0 V0(2ln⁡2−0.75)\mathrm{P}_0 \mathrm{~V}_0(2 \ln 2-0.75)P0​ V0​(2ln2−0.75)
  3. C
    P0 V0(2ln⁡2−0.25)\mathrm{P}_0 \mathrm{~V}_0(2 \ln 2-0.25)P0​ V0​(2ln2−0.25)
  4. D
    P0 V0(ln⁡2−0.25)\mathrm{P}_0 \mathrm{~V}_0(\ln 2-0.25)P0​ V0​(ln2−0.25)
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