1.

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.

Answer» (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"`.


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