The expression for the work done for a reversible polytropic process can be used to obtain the expression for work done for all processes, except reversible __________ process.

The expression for the work done for a reversible polytropic process can be used to obtain the expression for work done for all processes, except reversible __________ process. Correct Answer Isothermal

For a polytrophic process we know $$P{V^n} = {\text{constant}}$$
So, the work done in an polytrophic process is $$W = \frac{{{P_2}{V_2} - {P_1}{V_1}}}{{n - 1}}$$
So, we can see clearly when $$n = 1$$  the work done is becoming infinity which is wrong conceptually hence the above formulae can’t be applied in case of isothermal $$\left( {n - 1} \right)$$  process.

Related Questions

On a P-V diagram of an ideal gas, suppose a reversible adiabatic line intersects a reversible isothermal line at point A. Then at a point A, the slope of the reversible adiabatic line $${\left( {\frac{{\partial {\text{P}}}}{{\partial {\text{V}}}}} \right)_{\text{S}}}$$  and the slope of the reversible isothermal line $${\left( {\frac{{\partial {\text{P}}}}{{\partial {\text{V}}}}} \right)_{\text{T}}}$$  are related as (where, $${\text{y}} = \frac{{{{\text{C}}_{\text{p}}}}}{{{{\text{C}}_{\text{v}}}}}$$  )