Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Advanced 2020Paper 1
Exam
JEE Advanced
Year
2020
Paper
Paper 1
Subject
Chemistry
Chapter
Thermodynamics (C)

JEE Advanced 2020 · Paper 1 · Chemistry · Thermodynamics (C)

In thermodynamics, the P - V work done is given by w = - ∫ dVP _...

In thermodynamics, the P−VP - V work done is given by w=−∫dVPextw = - ∫ {dVP}_{ext}. For a system undergoing a particular process, the work done is,

w=−∫dV(RTV−b−aV2)w = - ∫ dV\left(\dfrac{RT}{V - b} - \dfrac{a}{{V}^{2}}\right). This equation is applicable to a

Options

  1. Asystem that satisfies the van der Waals equation of state.
  2. Bprocess that is reversible and isothermal.
  3. Cprocess that is reversible and adiabatic.
  4. Dprocess that is irreversible and at constant pressure.

Correct answer

A. system that satisfies the van der Waals equation of state.

Step-by-step solution

(W=-\int P_{\text{ext }} d v) From van der waal equation of state for one mole gas (p+\frac{a}{v^{2}}(v-b)=\mathrm{RT}) (p=\frac{\mathrm{RT}}{(v-b)}-\frac{a}{v^{2}}) For reversible process (p_{\text{ext }}=p_{\text{gas }}) (W=-\int \frac{\text{RT }}{(v-b)}-\frac{a}{v^{2}}) process is only not applicable for irreversible process.
Practice Thermodynamics (C) on Quantrex Academy →

More from Thermodynamics (C)

An ideal gas ( 0.5 mol), initially at 2 bar pressure, is compressed at a constant… JEE Advanced 2026List-I contains various physical/chemical processes, and List-II contains combinations of… JEE Advanced 2026Consider the reaction 2H_2S(g) + 3O_2(g) arrow 2H_2O(l) + 2SO_2(g) The magnitude of… JEE Main 2026Match List - I with List - II. Given V_1 and V_2 are initial and final volumes… JEE Main 2026Arrange the following isothermal processes in order of the magnitude of the work ( p - V… JEE Main 2026Consider the reaction X leftharpoons Y at 300 K. If Δ H^ θ and K are 28.40 kJ mol ^ -1… JEE Main 2026Consider the following data for the reaction X_2(g) + Y_2(g) leftharpoons 2XY(g) at 600 K… JEE Main 2026The correct order of molar heat capacities measured at 298 K and 1 bar is : JEE Main 2026 Full Thermodynamics (C) list All JEE Advanced PYQs