Which is the correct expression that relates changes of entropy with the change of pressure for an ideal gas at constant temperature, among the following?

Options

A. `DeltaS = nRT ln P_(2)`
B. `DeltaS =T(P_(2)-P_(1))`
C. `DeltaS = nRln P_(1)/P_(2)`
D. `DeltaS = 2.303 nR ln P_(1)/P_(2)`

Answer

C

Explanation

`DeltaE =q.w rArr 0 = q-w = pDeltaw`
`ds =d/T =(pDeltav)/T rArr ds = nR(dV)/V`
on integration `DeltaS = nR ln V_(2)/V_(1) = nR ln (P_(1)/P_(2))`