ISRO Mechanical & Aerospace 2017 - Question 28

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Topic: Thermodynamics

Isothermal compressibility of an ideal gas in

  • A. nR/VP
  • B. nRT/VP²
  • C. nR/VP²
  • D. nRT/VP

Answer: B. nRT/VP²

Explanation: Isothermal compressibility is k_T = (-1/V)(∂V/∂P)_T. For an ideal gas, V = nRT/P. So, (∂V/∂P)_T = -nRT/P². Thus, k_T = (-1/V)(-nRT/P²) = nRT/(VP²).

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