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One mole of an ideal monatomic gas at temperature T 0 expands slowly according to the law P = k V ( k is constant). If the final temperature is 4 T 0 then heat supplied to gas is

Options

  1. A2   R T 0
  2. B3 2   R T 0
  3. C6   R T 0
  4. DR T 0 2

Correct answer

C. 6   R T 0

Step-by-step solution

P = k V ∴   P V - 1 = k ∴     x = - 1 C = C v + R 1 - x = 3 R 2 + R 1 + 1 = 2 R Q = n C ∆ T = 2 R × 3 T 0 = 6 R T 0

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