An ideal gas has initial volume V and pressure p. If the volume of gas is doubled during expansion, then minimum work will be done in which thermodynamic process ?
Same in all alone given process
The correct option is C Adiabatic process Wgas=∫PdV Hence work done by gas in each process can be compared by estimating the area under their respective P−V graphs.
Plotting the P−V curve for the given isobaric, isothermal, adiabatic processes for expansion of gas from V→2V. ∵slopeAdiabatic>slopeIsothermal Hence, curve of adiabatic process will be more steep compared to that of isothermal one.
we get the following order for area under curve: AIsobaric>AIsothermal>AAdiabatic ⇒WIsobaric>WIsothermal>WAdiabatic Hence, minimum work is done by gas in adiabatic process.