A nuclear power plant has an electrical power output of 1266 MW and operates wit

Question

A nuclear power plant has an electrical power output of 1266 MW and operates with an efficiency of 24%. If excess energy is carried away from the plant by a river with a flow rate of 1.2 × 106 kg/s, what is the rise in temper- ature of the flowing water? Answer in units of C. A nuclear power plant has an electrical power output of 1266 MW and operates with an efficiency of 24%. If excess energy is carried away from the plant by a river with a flow rate of 1.2 × 106 kg/s, what is the rise in temper- ature of the flowing water? Answer in units of C. A nuclear power plant has an electrical power output of 1266 MW and operates with an efficiency of 24%. If excess energy is carried away from the plant by a river with a flow rate of 1.2 × 106 kg/s, what is the rise in temper- ature of the flowing water? Answer in units of C.

Explanation / Answer

as efficiency is 24%, then excess energy carried away=100-24=76%

so in terms of MW, excess energy=1266*0.76=962.16 MW

per second, heat energy supplied to water=962.16 MJ

per second, mass of water that receive this heat energy=1.2*10^6 kg

then if rise of temperature is x,

then mass*specific heat of water*rise in temperature=energy supplied

==>1.2*10^6*4187*x=962.16*10^6

==>x=0.1915 degree celcius

hence rise in temperature of flowing water is 0.1915 degree celcius.

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