Find the emtropy increment of one mole of carbon dioxide when its absolute temperature increases `n = 2.0` times if the process of heating is
(a) isochoric ,
(b) isobaric.
The gas is to be regarded a ideal.

Explanation

(a) In an isochoric process the entropy change will be
`Delta S = int_(T_i)^(T_f) (C_V dT)/(T) = C_V 1n (T_f)/(T_i) = C_V 1n n = (R 1n n)/(gamma -1)`
For carbon dioxide `gamma = 1.30`
so, `Delta S = 19.2 "Joule"//.^@K - "mole"`
(b) For an isobaric process,
`Delta S = C_p 1n(T_f)/(T_i) = C_p 1n n = (gamma R 1n n)/(gamma -1)`
=`25 "Joule"//.^@K - "mole"`.