Question

A metal wire is in thermal contact with two heat reservoirs at both of its ends. Reservoir 1 is at a temperature of 563 K, and reservoir 2 is at a temperature of 354 K. Compute the total change in entropy arising from the conduction of 1760 J of heat through the wire. Please give your answer in units of J/K.

Answer 1

1.85 J/K

Step-by-step explanation:

The computation of total change in entropy is shown below:-

Change in Entropy = Sum Q ÷ T

=
`(-heat\ entering\ the\ reservoir)/(Reservoir\ 1\ Temperature) + (Conduction\ of\ heat)/(Reservoir\ 2\ Temperature)`

`= (-1760)/(563) + (1760)/(354)`

= -3.12 + 4.97

= 1.85 J/K

Therefore for computing the total change in entropy we simply applied the above formula.

As we can see that there is heat entering the reservoir so it will be negative while cold reservoir will be positive else the process would be impossible.