- #1
pallab
- 43
- 4
Homework Statement
The equation of state of an ideal gas is p = nkT, where p is the thermodynamic
pressure and n = N / V is the thermodynamic variable for the number of particles per
unit volume. The n dependence of the free energy f per unit volume of the ideal gas is
obtained by the following expression , where c is temperature-dependent constant k is Boltzmann constant.
(a) nkT[In(n)+c]
(b) 2nkT[n ln(n)+c.]
(c) 3/2 nkT
(d) 3nkT
Homework Equations
∂f/∂n=μ
pV=NkT
p=NkT/V
The Attempt at a Solution
internal energy U=U(S,V,N)
∴μ=∂U/∂N
and ∂μ/∂V=∂2U/∂N∂V= -∂p/∂N
∂μ/∂V=-kT/V
∴μ=-kTlnV+c