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QPages 76-77: Q8: HC Verma: Concepts of Physics - Volume 2 Specific Heat Capacities of Gases Pages 76-77: Q8 Solution: In an isothermal process on an ideal gas, the pressure…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often mistakenly apply the adiabatic relation $PV^\gamma = \text{constant}$ or assume a linear relationship between pressure and volume, leading to incorrect percentage calculations. For an isothermal process, the product $PV$ is constant, so the fractional change in volume is exactly equal in magnitude but opposite in sign to the fractional change in pressure ($\frac{\Delta V}{V} = -\frac{\Delta P}{P}$).

In an isothermal process on an ideal gas, the pressure increases by 0.5%. The volume decreases by about

Multiple Choice Options

  • A 0.25%
  • B 0.50%
  • C 0.70%
  • D 1%.

Step-by-Step Verified Solution

**Answer:** (b) 0.50%. **Step-by-Step Explanation:** For isothermal process, PV = constant. _P/P = -_V/V. If P increases by 0.5%, V decreases by 0.5%.

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