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JEE Main20245 Apr 2024Evening ShiftPhysicsKinetic Theory of GasesActual

During an adiabatic process, if the pressure of a gas is found to be proportional to the cube of its absolute temperature, then the ratio of C_ P C _ V for the gas is :

Options

  1. A5 3
  2. B9 7
  3. C3 2
  4. D7 5

Correct answer

C. 3 2

Step-by-step solution

aligned & P T ^3 & PT ⁻³= constant & PV T = nR = constant from ideal gas equation & ( P )( PV )⁻³= constant & P ⁻² ~V ⁻³= cosntant ...(i) aligned Process equation for adiabatic process is PV ^ y = constant ...(ii) Comparing equation (1) and (2) C_P C_V =y= 3 2

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