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

During a particular process, a monatomic ideal gas absorbs an amount of heat Q and performs work equal to Q/2 on its surroundings. Determine the molar heat capacity of the gas for this process.

Options

  1. A3 2 R
  2. B3R
  3. C2R
  4. D5 2 R

Correct answer

B. 3R

Step-by-step solution

According to the first law of thermodynamics: Q = U + W Given that the work done is W = Q 2 : Q = U + Q 2 U = Q 2 Using U = n C_v T and Q = n C T : n C_v T = n C T 2 C = 2 C_v For a monatomic ideal gas, the molar heat capacity at constant volume is C_v = 3 2 R . C = 2 ( 3 2 R ) = 3R

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