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Concepts Of Physics MCQ Edition [Volume 2]PhysicsSpecific Heat Capacities of Gases

Suppose C_V and C_p denote the molar heat capacities of an ideal gas at constant volume and constant pressure, respectively. Which of the following expressions is a universal constant?

Options

  1. AC_p + C_V
  2. BC_p - C_V
  3. CC_p C_V
  4. DC_p C_V

Correct answer

B. C_p - C_V

Step-by-step solution

According to Mayer's relation for an ideal gas, the difference between the molar heat capacity at constant pressure ( C_p ) and the molar heat capacity at constant volume ( C_V ) is equal to the universal gas constant ( R ). C_p - C_V = R Since R is a universal constant, the expression C_p - C_V is a universal constant. The other expressions depend on the atomicity (degrees of freedom) of the gas and are not universal constants.

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