The change in entropy for a polytropic process \({\rm{p}}{{\rm{v}}^{\rm{n}}}\) is given by:
1
Zero
2
\(\Delta {\rm{S}} = {{\rm{c}}_{\rm{v}}}{\rm{\;}}\left[ {\frac{{{\rm{n}} + {\rm{\gamma }}}}{{{\rm{n}} - 1}}} \right]\ln \frac{{{{\rm{T}}_2}}}{{{{\rm{T}}_1}}}\)
3
\(\Delta {\rm{S}} = {{\rm{c}}_{\rm{v}}}{\rm{\;}}\left[ {\frac{{{\rm{n}} - {\rm{\gamma }}}}{{{\rm{n}} + 1}}} \right]\ln \frac{{{{\rm{T}}_2}}}{{{{\rm{T}}_1}}}\)
4
\(\Delta {\rm{S}} = {{\rm{c}}_{\rm{v}}}{\rm{\;}}\left[ {\frac{{{\rm{n}} - {\rm{\gamma }}}}{{{\rm{n}} - 1}}} \right]\ln \frac{{{{\rm{T}}_2}}}{{{{\rm{T}}_1}}}\)