Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NTA Abhyas JEE Main2020PhysicsThermodynamicsPractice

For two thermodynamic process temperature and volume, diagrams are drawn. In the first process, it is a straight line having initial and final coordinates as V 0 , T 0 and 2 V 0 ,   2 T 0 , whereas in second process it is a rectangular hyperbola having initial and final coordinates (V 0 , T 0 ) and (2V 0 , T 0 /2). Then the ratio of work done in the two processes must be

Options

  1. A1   :   2
  2. B2   :   1
  3. C1   :   1
  4. DNone of these

Correct answer

B. 2   :   1

Step-by-step solution

The first process is the constant pressure process Hence, w 1   =   n R ( 2 T 0   -   T 0 )   =   n R T 0 Equation of the second process is T = c V Hence, P = nRT V = nRc V 2 ∴     w = ∫ V 0 2 V 0 PdV = nRT 0 2 ∴    w 1 w 2 = 2  :  1

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 NTA Abhyas JEE Main PYQs