Question

A metal wire is in thermal contact with two heat reservoirs at both of its ends. Reservoir 1 is at a temperature of 781 K, and reservoir 2 is at a temperature of 335 K. Compute the total change in entropy arising from the conduction of 1477 J of heat through the wire. Please give your answer in units of J/K.

Answer 1

Answer:2.517 J/K

Step-by-step explanation:

Given

Reservoir 1 Temperature
`T_1=781 K`

Reservoir 2 Temperature
`T_2=335 K`

Let Q is the amount of heat Flows i.e.
`Q=1477 J`

thus change in Entropy is given by
`(\sum Q)/(T)`

`\Delta S=(\sum Q)/(T)=-(Q)/(T_1)+(Q)/(T_2)`

`\Delta S=(\sum Q)/(T)=-(1477)/(781)+(1477)/(335)`

`\Delta S=(\sum Q)/(T)=-1.891+4.4089`

`\Delta S=(\sum Q)/(T)=2.517 J/K`