An ideal gas expands isothermally from a volume {V₁} to {V₂} and then compressed to original vol

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11.Thermodynamics

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An ideal gas expands isothermally from a volume ${V_1}$ to ${V_2}$ and then compressed to original volume ${V_1}$adiabatically. Initial pressure is ${P_1}$ and final pressure is ${P_3}$. The total work done is $W$. Then

${P_3} > {P_1},\,\,W > 0$

${P_3} < {P_1},\,\,W < 0$

${P_3} > {P_1},\,\,W < 0$

${P_3} = {P_1},\,\,W = 0$

(IIT-2004)

Solution

(c)From graph it is clear that ${P_3} > {P_1}$.
Since area under adiabatic process $(BCED)$ is greater than that of isothermal process $(ABDE)$. Therefore net work done
$W = {W_i} + ( – {W_A})$$⇒$ $W < 0$

Standard 11

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An ideal gas expands isothermally from a volume ${V_1}$ to ${V_2}$ and then compressed to original volume ${V_1}$adiabatically. Initial pressure is ${P_1}$ and final pressure is ${P_3}$. The total work done is $W$. Then

Solution

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