Verified Solution • 2025–26 Session moderate

QJEEAdv14Ch017b: JEE Advanced 2014 Chemistry - Class 11 JEEAdv14Ch017b Solution: An ideal gas in thermally insulated vessel at internal pressure …

JEE Advanced 2014 Paper 1 Offline Chemistry - Gaseous State Question 8 English
An ideal gas in thermally insulated vessel at internal pressure = p1, volume = V1 and absolute temperature = T1 expands irreversibly against zero external pressure, as shown in the diagram.

The final internal pressure, volume and absolute temperature of the gas are p2, V2 and T2, respectively. For this expansion

Multiple Choice Options

  • A q = 0
  • B T2 = T1
  • C p2V2 = p1V1
  • D p2V 2γ_2^\gamma = p1 1γ_1^\gamma

Step-by-Step Verified Solution

As the vessel is thermally insulated (so, q = 0). Therefore,

Δ\Delta U = 0, Δ\Delta T = 0 ⇒\Rightarrow T1 = T2

According to combined gas law equation,

P2V2T2=P1V1T1⇒P2V2=P1V1{{{P_2}{V_2}} \over {{T_2}}} = {{{P_1}{V_1}} \over {{T_1}}} \Rightarrow {P_2}{V_2} = {P_1}{V_1}

Related Learning Resources & Exam Preparation

JEE Advanced PYQ Question Bank
Browse year-wise authentic previous years' questions with solutions
Authentic CBT Mock Tests
Simulate official exam environment with live timer and percentile scoring