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JEE Advanced2014ChemistryThermodynamics (C)Actual

An ideal gas in a thermally insulated vessel at internal pressure = P 1 , volume = V 1 and absolute temperature = T 1 expands irreversibly against zero external pressure, as shown in the diagram. The final internal pressure, volume and absolute temperature of the gas are P 2 , V 2 and T 2 , respectively. For this expansion,

Options

  1. Aq = 0
  2. BT 2 = T 1
  3. CP 2 V 2 = P 1 V 1
  4. DP 2 V 2 γ = P 1 V 1 γ

Correct answer

A. q = 0

Step-by-step solution

Since container is thermally insulated. So, q = 0, and it is a case of free expansion therefore W = 0 and ∆ E = 0 So, T 1 = T 2 Also, P 1 V 1 = P 2 V 2

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