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Problem 12.81 Part A A typical nuclear reactor generates 1000 MW of electrical e

ID: 1575616 • Letter: P

Question

Problem 12.81 Part A A typical nuclear reactor generates 1000 MW of electrical energy in doing so, it produces waste heat at a rate of 2000 MW and this heat must be removed from the reactor. Many reactors are sited rext to large bodies of water so that they can use the water for cooling. Consider a reactor where the intake water is at 170 C. State regulations limit the temperature of the output water to 30 C so as not to harm aquatic organisms How many kilograms of cooling water have to be pumped through the reactor each minute? Express your answer using two significant figures Submit

Explanation / Answer

Q12.81

The amount of heat removed Q = m*c*deltaT

where Q = 2000x106J/s*60s = 1.2 x 1011J

c = 4190 J/kgC

delta T = 30-17 = 13

1.2 x 1011 = m*4190*13

m = 1.2 x 1011/(4190*13)
m = 2203047.55 kg

m = 2.2 x 106 kg

Q12.68

14.7 psi is atmospheric pressure

PV=nRT
Absolute Pressure at 23oc = 36+14.7=50.7 psi
Absolute Temperature = 273+23= 299 K and 273+0 = 273 K.
Pf = 50.7*273/299

Pf = 46.3 psi

gauge reading = 46.3-14.7 = 31.6 psi

Q12.68

Absolute Pressure at 14oc = 30+14.7 = 44.7 psi
Absolute Temperature = 273+14= 287 K and 273+47 = 320 K.
Pf = 44.7*320/287

Pf = 49.84 psi

gauge reading = 49.84-14.7 = 35.14 psi