It is asked to find the fundamental equation of a monoatomic ideal gas in Helmholtz Representation, where F = U − T S

Question

It is asked to find the fundamental equation of a monoatomic ideal gas in Helmholtz Representation, where  F  =  U  −  T  S

flasheadita237m · Accepted Answer

&quot;      F    0   is the Helmholtz free energy at   T  =      T    0  ,   V  =      V    0  ,   N  =      N    0  . So       F    0    =      3    2        N    0    R      T    0    −      T    0        N    0        s    0   and             F      0                      N        0            R              T        0              =      3    2    −            s      0        R  . You can show  F  =  N  R  T              F      0                      N        0            R              T        0              −  ln  ⁡          T          T      0                      3              /            2              V          V      0                      N      0        N                  −      1            =  N  R  T        3    2    −            s      0        R      +  N  R  ln  ⁡          T          T      0                      3              /            2              V          V      0                      N      0        N                  −      1          =      3    2    N  R  T  −  T    N      s    0    +  N  R  ln  ⁡          T          T      0                      3              /            2              V          V      0                      N      0        N                  −      1

It is asked to find the fundamental equation of a monoatomic ideal gas in Helmholtz Representation, where F=U−TS

Answered question

Answer & Explanation

New Questions in Thermal Physics