Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Advanced 2010Paper 1
Exam
JEE Advanced
Year
2010
Paper
Paper 1
Subject
Physics
Chapter
Thermodynamics

JEE Advanced 2010 · Paper 1 · Physics · Thermodynamics

One mole of an ideal gas in initial state A undergoes a cyclic...

One mole of an ideal gas in initial state A undergoes a cyclic process ABCAA B C A, as shown in the figure. Its pressure at AA is p0p_0. Choose the correct option(s) from the following One mole of an ideal gas in initial state A undergoes a cyclic process A B C A , as shown in the figure. Its pressure

Options

  1. AInternal energies at AA and BB are the same
  2. BWork done by the gas in process ABA B is p0V0ln⁡4p_0 V_0 \ln 4
  3. CPressure at CC is p04\frac{p_0}{4}
  4. DTemperature at CC is T04\frac{T_0}{4}

Correct answer

A. Internal energies at AA and BB are the same

Step-by-step solution

TA=TB∴UA=UBWAB=(1)(R)T0ln⁡(VfVi)=RT0ln⁡(4V0V0)=p0V0ln⁡(4)\begin{aligned}& T_A=T_B \quad \therefore U_A=U_B \\ & W_{A B}=(1)(R) T_0 \ln \left(\frac{V_f}{V_i}\right)\\ & =R T_0 \ln \left(\frac{4 V_0}{V_0}\right)\\ & =p_0 V_0 \ln (4) \end{aligned}Information regarding pandTp and T at CC can not be obtained from the given graph. Unless it is mentioned that line BCB C passes through origin or not. Hence, the correct options are (a) and (b).
Practice Thermodynamics on Quantrex Academy →

More from Thermodynamics

A quasi-static cycle of a monoatomic ideal gas contains an isothermal process ( ab )… JEE Advanced 2026As shown in the figure, five Carnot engines, each with efficiency η and same number of… JEE Advanced 2026Ten moles of an ideal monoatomic gas, initially in state a at atmospheric pressure and… JEE Advanced 2026One mole of diatomic gas having rotational modes only is kept in a cylinder with a piston… JEE Main 2026Initial pressure and volume of a monoatomic ideal gas are P and V . The change in… JEE Main 2026A cylinder with adiabatic walls is closed at both ends and is divided into two… JEE Main 2026Two closed vessels of same volume are joined through a narrow tube and both vessels are… JEE Main 2026A certain gas is isothermally compressed to ((1)/(3))^ rd of its initial volume ( V_o = 3… JEE Main 2026 Full Thermodynamics list All JEE Advanced PYQs