Problem 4: Even when shut down after a period of normal use, a large commercial nuclear reactor transfers thermal energy at the rate of 150 MW by the radioactive decay of fission products. This heat transfer will cause a rapid increase in temperature if the cooling system fails. Part (a) Calculate the rate of temperature increase, in degrees Celsius per second (°C/s), if the mass of the reactor core is 1.85 x 10 kg and it has an average specific heat of 0.3349 kJ/(kg.°C). AT'At = sin() cos() tan() 7 8 9 HOME cotan() asin() acos() E 4 5 atan() acotan() sinh() 1 2 3 cosh() tanh() cotanh() END ODegrees O Radians BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Part (b) How long, in minutes, would it take for the temperature to increase by 2000°C, which could cause some metals holding the radioactive materials to melt? (The initial rate of temperature increase would be greater than that calculated here because the heat transfer is concentrated in a smaller mass. Later, however, the temperature increase would slow down because the 5 x 10-kg steel containment vessel would also begin to heat up.)
Problem 4: Even when shut down after a period of normal use, a large commercial nuclear reactor transfers thermal energy at the rate of 150 MW by the radioactive decay of fission products. This heat transfer will cause a rapid increase in temperature if the cooling system fails. Part (a) Calculate the rate of temperature increase, in degrees Celsius per second (°C/s), if the mass of the reactor core is 1.85 x 10 kg and it has an average specific heat of 0.3349 kJ/(kg.°C). AT'At = sin() cos() tan() 7 8 9 HOME cotan() asin() acos() E 4 5 atan() acotan() sinh() 1 2 3 cosh() tanh() cotanh() END ODegrees O Radians BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Part (b) How long, in minutes, would it take for the temperature to increase by 2000°C, which could cause some metals holding the radioactive materials to melt? (The initial rate of temperature increase would be greater than that calculated here because the heat transfer is concentrated in a smaller mass. Later, however, the temperature increase would slow down because the 5 x 10-kg steel containment vessel would also begin to heat up.)
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Transcribed Image Text:Problem 4: Even when shut down after a period of normal use, a large commercial nuclear reactor transfers thermal energy at the rate of 150 MW by
the radioactive decay of fission products. This heat transfer will cause a rapid increase in temperature if the cooling system fails.
Part (a) Calculate the rate of temperature increase, in degrees Celsius per second (°C/s), if the mass of the reactor core is 1.85 x 10° kg and it has
an average specific heat of 0.3349 kJ/(kg.°C).
AT'At =
sin()
cos()
tan()
7
9
HOME
cotan()
asin()
acos()
E
4
5
atan()
acotan()
sinh()
1
3
cosh()
tanh()
cotanh()
END
-
ODegrees O Radians
BACKSPACE DEL CLEAR
Submit
Hint
Feedback
I give up!
Part (b) How long, in minutes, would it take for the temperature to increase by 2000°C, which could cause some metals holding the radioactive
materials to melt? (The initial rate of temperature increase would be greater than that calculated here because the heat transfer is concentrated in a smaller mass.
Later, however, the temperature increase would slow down because the 5 x 102-kg steel containment vessel would also begin to heat up.)
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