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Isothermal process on p-V, T-V, and p-T diagrams

Isothermal process on p-V, T-V, and p-T diagrams

Isothermal process on p-V, T-V, and p-T diagrams

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Clicker questi<strong>on</strong> 10<br />

C<strong>on</strong>sider the p-V diagram below in which n = 1 mole of gas evolves revers<br />

-ibly from state a to state b al<strong>on</strong>g the path shown. What is the net change in<br />

entropy? (Note, e = 2.71828 = Euler’s number, <strong>and</strong> thus ln(e) = 1.)<br />

p<br />

a<br />

1 e<br />

Since S is a state variable, it doesn’t<br />

matter which path from a to b you<br />

choose. Thus, choose the isobar.<br />

b<br />

V<br />

a) C p b) C p e<br />

c) C V d) C V e<br />

e) R f) R e<br />

g) Yes there is!!<br />

ΔS = nC p ln (isobar)<br />

ΔS = nC V ln (isochor)<br />

ΔS = nR ln (isotherm)<br />

PHYS 1101, Winter 2009, Prof. Clarke 28<br />

)<br />

( V2 V1 ( )<br />

p2 p1 ( )<br />

V2 V1

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