Calvin Cliffc Nuclear Power Plant, located on the Hobbes River, generates 1.00 C

Question

Calvin Cliffc Nuclear Power Plant, located on the Hobbes River, generates 1.00 CW of power. In this plant, liquid sodium circulates between the reactor core and a heat exchanger located in the superheated steam that drives the turbine. Heat is absorbed by liquid sodium in the core, and released by the liquid sodium (and into the superheated steam) in the heat exchanger. The temperature of the superheated steam is 590 K. Heat is released into the river, and the water in the river flows by at a temperature of 3. (a) What is the highest efficiency that this plant can have? (b) How much heat is released into the river every second? CW (c) How much heat must be released by the core to supply 1.00 GW or electrical power? GW (d) Assume that new environmental laws have passed to preserve the unique wildlife of the river. Because of these laws, the plant is not allowed to heat the river by more than 0.60 degree C. What is the minimum flow rate that the water in the Hobbes River must have? L/s

Explanation / Answer

Here ,

Power generated , Qh = 1 GW

Th = 590 K

Tc = 27 C = 300 K

a) highest efficiency = 1 - Tc/Th

highest efficiency = 1 - 300/590

highest efficiency = 0.492

b) heat released in river = (1 - 0.492) * Qh

heat released in river = (1 - 0.492) * 1

heat released in river = 0.508 GW

c)

energy as electrical power = (1 - 0.508) GW

energy as electrical power = 0.492 GW

d)

let the minimum flow rate is v L/s

v * 4186 * 0.60 = 0.508 * 10^9

solving for v

v = 202 *10^3 L/s

the volume flow rate is 202 *10^3 L/s

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