Solve this: Q The variation of pressure P with volume V for an ideal diatomic gas is - Physics - Thermodynamics

Question

Solve this:

Q The variation of pressure P with volume V for an
ideal diatomic gas is parabolic as shown in the figure The molar
specific heat of the gas during this process is

( 1 )     9 R 5            
                 
                 
                 
  ( 2 )     17 R 6 ( 3 )     3 R 4  
                 
                 
                 
            ( 4 )     8 R 5

Aarushi Mishra · Accepted Answer

This is an upright parabola, so it s equation will be of the formP=kV2 ___________1By ideal gas equationP=nRTVSonRTV=kV2nRT=kV3nRdT=3kV2dVV2dV=nRdT3k ________2By first lawdQ=dU+PdV Let heat capacity of the gas in this process be C, dQ=nC dTUsing equation 1 and formula for dUnC dT=nCvdT+kV2dVFrom equation 2nC dT=nCvdT+knR dT3knC dT=nCvdT+nR dT3C=CV+R3for diatomic gas, Cv=5R2C=5R2+R3=17R6

Solve this: Q. The variation of pressure P with volume V for an ideal diatomic gas is parabolic as shown in the figure. The molar specific heat of the gas during this process is ( 1 ) 9 R 5 ( 2 ) 17 R 6 ( 3 ) 3 R 4 ( 4 ) 8 R 5

Solve this:

Q. The variation of pressure P with volume V for an ideal diatomic gas is parabolic as shown in the figure. The molar specific heat of the gas during this process is

$(1) \frac{9 R}{5} (2) \frac{17 R}{6} (3) \frac{3 R}{4} (4) \frac{8 R}{5}$