Questions in Statistical mechanics.2nd.ed-k.Huang

[standing]

page 14-15.

...Let Qi be the amount of heat absorbed by the system during the ith step from the heat reservoir of temperature Ti. ...


(a)...
(b)...
(c) rejects amount of heat Qi to Ti.


I want know what the Qi means.


if absorbed heat , Qi =Q > 0 (postulate Q is positive)
if reject heat, Qi=-Q<0




Line 10

Consider one cycle of the combined operation Q+{C1+C2+...+Cn}. The net result of this cycle is that an amount of heat
Q0=Sigma[Qi(0)]=T0 Sigma[Qi/Ti]
is absorbed from the reservoir T0 and converted entirely into work, with no other effect.



I think the net result of this cycle is following

Q = Sigma[Qi(0)] - T0 Sigma[Qi/Ti]

what's wrong?

 

[jbsteele]

No, that's not correct. The equation you wrote suggests that the net result of the cycle is zero, which is not correct. The correct equation should be Q0 = Sigma[Qi(0)] = T0 Sigma[Qi/Ti], which means that an amount of heat Q0 is absorbed from the reservoir T0 and converted entirely into work.