A copper rod 45 cm long having a cross-sectional area of 2.0 cm 2 is used to con

ID: 1302406 • Letter: A

Question

A copper rod 45 cm long having a cross-sectional area of 2.0 cm2 is used to connect a boiler maintained at 100 oC to a large block of ice at 0 oC.

(a) Once a steady state is reached, what is the rate of heat flow through the rod?

(b)What is the rate of change in entropy of the boiler (in W/deg)?

(c What is the rate of change in entropy of the rod (in W/deg)?

(d)What is the rate of change in entropy of the ice (in W/deg)?

(eWhat is the rate of change in entropy of the universe due to the heat flow through the bar ?

(answer all parts to get all points)

a)Q=kA(T1-T2)/L=401*2*10^-4*(100-0)/0.45=17.82W

b)rate of change of entropy of boiler=q/T=-17.82/383=-0.0478J/K.s

c)rate of change of entropy of rod=0 ( no energy is stored in the rod)

d)rate of change of entropy of ice=q/T=0.0653J/Ks

e)What is the rate of change in entropy of the universe=0.0653-0.0478=0.0175J/Ks

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