In a nuclear reactor, heat is generated uniformly in the 5 cmdiameter cylindrica

Question

In a nuclear reactor, heat is generated uniformly in the 5 cmdiameter cylindrical uranium rods at a rate of7x107W/m3. If the length of the rods is 1m,determine the rate of heat generation in each rod. The answer is 137kW, but Im not sure how they get this. Please Help!! In a nuclear reactor, heat is generated uniformly in the 5 cmdiameter cylindrical uranium rods at a rate of7x107W/m3. If the length of the rods is 1m,determine the rate of heat generation in each rod. The answer is 137kW, but Im not sure how they get this. Please Help!!

Explanation / Answer

heat P = 7*107 W/m3 length of rod L= 1m diameter of rod d= 5 cm radius r =d/2 =>radius r= 2.5 cm =>radius r= 0.025cm volume of rod V =L**r2 the rate of heat generation in each rod = P*V the rate of heat generation in each rod =P*L**r2 the rate of heat generation in each rod =7*107*1**0.0252 the rate of heat generation in each rod = 137.4 kW so,the rate of heatgeneration in each rod = 137 kW

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