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An ideal gas is expanding such as P T 2 = c o n s t a n t . The coefficient of volume expansion of the gas is

Options

  1. A1 T
  2. B2 T
  3. C3 T
  4. D4 T

Correct answer

C. 3 T

Step-by-step solution

P T 2 = c o n s t a n t n R T V T 2 = n R T 3 V - 1 = constant Differentiating the equation, we get 3 n R V T 2 d T - n R T 3 d V V 2 = 0 ⇒ γ = 1 V d V d T = 3 T

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