Starting from the definition of work, derive an expression for the change in ent
ID: 773496 • Letter: S
Question
Starting from the definition of work, derive an expression for the change in entropy, delta S, for the reversible isothermal expansion of an ideal gas. The degeneracy for an ideal gas is: ohm (E) = c(N)f(E)VN where c is a function of N, the number of molecules in the system, f is a function of the energy of the gas and V is the volume of the system. Show that the result for the change in entropy for the reversible isothermal expansion of an ideal gas is equivalent to part (a) when starting from the degeneracy: S = kB In ohmExplanation / Answer
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Temperature T = 37oC = 37 + 273 = 310 K
Since theprocessis Isothermal,
Therefore, ?U=0 and ?H = 0 (as for an isothermalexpansionof anideal gas?U=0 and ?H = 0)
As work done in reversible isothermalexpansionis given by:
w= -nRT ln (V2/ V1)
=
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