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Question:

Consider the reversible isothermal expansion of an ideal gas in a closed system at two different temperatures T1 and T2 (T1<T2). The correct graphical depiction of the dependence of work done (w) on the final volume (V) is:

Solution:

w=−nRTln(V2/V1)
w=−nRTln(Vb/Vi)
|w|=nRTln(Vb/Vi)
|w|=nRT(lnVb−lnVi)
|w|=nRTlnVb−nRTlnVi
y=mx−C
So, the slope of curve 2 is more than curve 1 and the intercept of curve 2 is more negative than curve 1.