Chemistry - Thermodynamics - I Question with Solution | TestHub

For an isothermal irreversible expansion, Work done $(\mathrm{W})=-{\mathrm{p}}_{\mathrm{ext}}\left({\mathrm{V}}_2-{\mathrm{V}}_1\right)$ where, ${\mathrm{V}}_1=$ initial volume $${\mathrm{V}}_2=\text{ final volume }$$ Given, ${\mathrm{p}}_{\mathrm{ext}}=10^5{\mathrm{Nm}}^{-2},{\mathrm{V}}_1=10^{-3}{\mathrm{m}}^3,{\mathrm{V}}_2=10^{-2}{\mathrm{m}}^3$ On substituting the given values in Eq, (i), We get, $$\begin{array}{rl}W& =-10^5{\mathrm{Nm}}^{-2}\left(10^{-2}{\mathrm{m}}^3-10^{-3}{\mathrm{m}}^3\right)\\ & =-10^5{\mathrm{Nm}}^{-2}\times 10^{-3}(10-1){\mathrm{m}}^3\\ & =-900\mathrm{Nm}=-900\mathrm{J}\end{array}$$