The reversible expansion of an ideal gas under adiabatic and isothermal conditions are shown in figure which of the following is $$correcti)$$ $$T1=T2$$ $$ii)$$ $$T3$$$$T1$$ $$iii)$$ WisothermalWadiabatic $$iv)$$ΔUisothermalΔUadiabatic

Question

The reversible expansion of an ideal gas under adiabatic and isothermal conditions are shown in figure which of the following is $$correcti)$$ $$T1=T2$$         $$ii)$$ $$T3$$>$$T1$$           $$iii)$$ Wisothermal>Wadiabatic         $$iv)$$ΔUisothermal>ΔUadiabatic

Infinity Learn · Accepted Answer

$$i)$$ During isothermal expansion. Temperature is constant ∴$$T1=T2$$ is $$trueii)$$ During adiabatic expansion cooling effect takes place, because decrease in internal energy converted into work Δ$$U=$$−W so final temperature $$T3$$ is less than initial temperature $$T1$$ so given $$T3$$>$$T1$$ is $$falseiii)$$ From the graph area under the isothermal PV curve > Area under adiabatic PV curve∴Wisothermal>Wadiabatic  is $$trueiv)$$ During adiabatic expansion internal energy decreases than initial ∴Δ$$U=$$−Vewhere as, in isothermal process internal energy remains constant ∴Δ$$U=0$$ΔUisothermal>ΔUaidabaticis true

The reversible expansion of an ideal gas under adiabatic and isothermal conditions are shown in figure which of the following is correcti) T1=T2 ii) T3>T1 iii) Wisothermal>Wadiabatic iv)ΔUisothermal>ΔUadiabatic

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