Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main20238 Apr 2023Morning ShiftPhysicsThermodynamicsActual

Given below are two statements: Statement I: If heat is added to a system, its temperature must increase. Statement II: If positive work is done by a system in a thermodynamic process, its volume must increase. In the light of the above statements, choose the correct answer from the options given below

Options

  1. AStatement I is true but Statement II is false
  2. BBoth Statement I and Statement II are false
  3. CBoth Statement I and Statement II are true
  4. DStatement I is false but Statement II is true

Correct answer

D. Statement I is false but Statement II is true

Step-by-step solution

If heat energy is added to a thermodynamic system, one part increases the internal energy and the other part performs some work. If heat is added to a system, the system can do work without changing its internal energy. Hence, statement 1 is false. The formula to calculate the work done is given by W = ∫ P d V From the above equation, it can be concluded that if W > 0 , i.e., work is done by the system, its volume must increase. Hence, statement II is true.

Practice Thermodynamics on Quantrex Academy →

More from Thermodynamics

A quasi-static cycle of a monoatomic ideal gas contains an isothermal process ( ab ) , followed by an isochoric process ( bc ) and an adiabatic process ( ca ) as shown in the figur 2026As shown in the figure, five Carnot engines, each with efficiency and same number of cycles per unit time, are operating between six heat reservoirs. The amount of heat released pe 2026Ten moles of an ideal monoatomic gas, initially in state a at atmospheric pressure and temperature T_a = 27^ C, is enclosed in a metal cylinder of volume V₀ fitted with a frictionl 2026One mole of diatomic gas having rotational modes only is kept in a cylinder with a piston system. The cross-section area of the cylinder is 4 cm ^2 . The gas is heated slowly to ra 2026Initial pressure and volume of a monoatomic ideal gas are P and V . The change in internal energy of this gas in adiabatic expansion to volume V_ final =27V is ________ J. 2026A cylinder with adiabatic walls is closed at both ends and is divided into two compartments by a frictionless adiabatic piston. Ideal gas is filled in both (left and right) the com 2026Two closed vessels of same volume are joined through a narrow tube and both vessels are filled with air of pressure 90 kPa and temperature 400 K. Keeping the temperature of one ves 2026A certain gas is isothermally compressed to ( 1 3 )^ rd of its initial volume ( V_o = 3 litre) by applying required pressure. If the bulk modulus of the gas is 3 10^5 N/m ^2 , the 2026 Full Thermodynamics list All JEE Main PYQs