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The thermodynamic property that measures...

The thermodynamic property that measures the extent of molecular disorder is called entropy. Entropy change of phase transformation can be calculated using Trouton's formula `(DeltaS = DeltaH//T)`. In the reversible adiabatic process, however, `DeltaS` will be zero. the rise in temperature in isobaric and isochoric conditions is found to increase the randomness or entropy of the system.
`DeltaS = 2.303 C log (T_(1)//T_(2))`
When `1` mol of an ideal gas is compressed to half of its volume, its temperature becomes half. Then the change in entropy `(DeltaS)` would be

A

`C_(V)` ln 2

B

`C_(P)` ln 2

C

`C_(V)R` ln 2

D

`(C_(V)-R)` ln `2xxC_(P)`

Text Solution

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The correct Answer is:
B
`DeltaS=2.303C_(P)" log"_(10)((V_(1))/(V_(2)))`
`=C_(P)" ln "((V_(1))/(V_(2)))=C_(P)ln_(e)((1)/(1//2))=C_(P)ln_(e)2`
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