KTUYSBeta
Log inSign up

Thermodynamics · Class 11 · CBSE · Science Physics

An ideal gas expands according to the law P V^2 = text{constant}. The molar heat capacity C of the gas for this process is (where R is the universal…

Practice question from Thermodynamics (Class 11 · CBSE · Science Physics), with the correct answer and a step-by-step solution.

hard · MCQ · Q-14A930

An ideal gas expands according to the law PV2=constantP V^2 = \text{constant}. The molar heat capacity CC of the gas for this process is (where RR is the universal gas constant and γ=Cp/Cv\gamma = C_p/C_v):

  1. A.Cv+R1−γC_v + \frac{R}{1-\gamma}
  2. B.Cv−Rγ−1C_v - \frac{R}{\gamma-1}
  3. C.Cv+RC_v + R
  4. D.Cv−RC_v - RCorrect answer

Solution

The molar heat capacity for a polytropic process PVx=constantPV^x = \text{constant} is given by C=Cv+R1−xC = C_v + \frac{R}{1-x}. Here, x=2x = 2. Therefore, C=Cv+R1−2=Cv−RC = C_v + \frac{R}{1-2} = C_v - R.

More from Thermodynamics

All of Thermodynamics

Practise more Physics

Sign up free for adaptive practice on this chapter, with instant feedback and hints on every question.

Start practising free

Free to start · No credit card needed