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QPages 76-77: Q9: HC Verma: Concepts of Physics - Volume 2 Specific Heat Capacities of Gases Pages 76-77: Q9 Solution: In an adiabatic process on a gas with , the pressure is…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often forget the negative sign in the differential relation $\frac{\Delta P}{P} = -\gamma \frac{\Delta V}{V}$, leading to incorrect conclusions about whether volume increases or decreases. Always remember that in an adiabatic compression, pressure and volume changes are inversely related, so a pressure increase must correspond to a volume decrease.

In an adiabatic process on a gas with γ=1.4\gamma = 1.4, the pressure is increased by 0.5%. The volume decreases by about

Multiple Choice Options

  • A 0.36%
  • B 0.50%
  • C 0.70%
  • D 1%

Step-by-Step Verified Solution

**Answer:** (a) 0.36%. **Step-by-Step Explanation:** For adiabatic process, PV^_ = constant. _P/P = -_(_V/V). 0.5% = 1.4 _ _V/V. _V/V = 0.5/1.4 = 0.36%.

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