A closed chamber containing a gas is at steady state. The shaft transfers power

Question

A closed chamber containing a gas is at steady state. The shaft transfers power at a rate of Wsh,in= 2.0 kW to the paddle wheel and the electric lamp consumes electricity at a rate of Wel,in= 700 W .

A) Using an energy balance determine the rate of heat transfer, in kW.

B) If the surface temperature of the chamber is 430 K , determine the entropy generated within the chamber, in kW/k

C) What would the entropy generation within the chamber be if the surface temperature increased to 530 K ? in kW/k

Explanation / Answer

A) Using an energy balance rate of the heat transfer,

dQ=Wsh,in- Wel, in

dQ = | 0.7kW - 2.0 kW |

dQ = 1.3 kW heat transfer from lamp to shaft.

B) T=430 k

Hence entropy S= dQ/T

S= 1.3/430

S = 0.0030 kW/k

C) at T = 530 k

Entropy S = dQ/T

S = 1.3/530

S = 0.00245 kW/k

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