Even when shut down after a period of normal use, a large commercial nuclear reactor produces heat at the rate of 130 MW by the radioactive decay of fission products. This causes a rapid increase in temperature if the cooling system fails. (a) Calculate the rate of temperature increase in degrees Celsius per second (°C/s), if the mass of the reactor core is 1.60 x 105 kg and has an average specific heat of 0.0800 kcal/kg-°C. °C/s (b) How long would it take to obtain a temperature increase of 2000°C? (The initial rate of temperature increase would be greater than calculated here, because the heat is concentrated in a smaller mass, but later, the temperature increase would slow because the 5 x 105 kg steel containment vessel would begin to be heated, too.).

Even when shut down after a period of normal use, a large commercial nuclear reactor produces heat at the rate of 130 MW by the radioactive decay of fission products. This causes a rapid increase in temperature if the cooling system fails. (a) Calculate the rate of temperature increase in degrees Celsius per second (°C/s), if the mass of the reactor core is 1.60 x 105 kg and has an average specific heat of 0.0800 kcal/kg-°C. °C/s (b) How long would it take to obtain a temperature increase of 2000°C? (The initial rate of temperature increase would be greater than calculated here, because the heat is concentrated in a smaller mass, but later, the temperature increase would slow because the 5 x 105 kg steel containment vessel would begin to be heated, too.).

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A house walls that are 10 cm thick and have an average thermal conductivity two times that of cork. Assume there are no windows or doors. The walls' surface area is 1350000 cm? and their inside surface is at 19°C, while their outside surface is at 5°C. (Thermal conductivity of cork is 0.042 W/m°C) (i) Calculate the rate of heat conduction through house walls in watt? (4 marks) (ii) How many 400W room heaters would be needed to balance the heat transfer due to conduction?(approximate number) (1 mark)
One half of a kilogram of liquid water at 273 K (0°C) is placed outside on a day when the temperature is 259 K (-14 °C). Assume that the heat is lost from the water only by means of radiation and that the emissivity of the radiating surface is 0.560. Consider two cases: when the surface area of the water is (a) 0.035 m² (as it might be in a cup) and (b) 1.5 m² (as it could be if the water were spilled out to form a thin sheet). For each case, (a) and (b), determine the time it takes the water to freeze into ice at 0 °C. (a) Number (b) Number i Units Units
A 0.012 kg cube of ice at 0.0°C is added to 0.477 kg of soup at 81.7°C. Assuming that the soup has the same specific heat capacity as water, find the fi- nal temperature of the soup after the ice has melted. The specific heat of water is 4186 J/kg °C and water's latent heat of fu- sion is 3.33 x 105 J/kg. Answer in units of °C. Your response... Previous Responses X #1.79.7 PALETTE
Consider a thin round plate at 350K with a radius of 18 cm is placed on a very large and very thick table of conductivity k = 1.6 W/mK. The plate has an emissivity of 0.6 and the temperature of the surrounding air and the table and the large room walls is 298 K. At this time, (a) How much heat (in W) is leaving via radiation? (b) How much heat (in W) is leaving via convection? (c) How much heat (in W) is leaving via conduction?
1) The walls of a house are 11 cm thick and have an average thermal conductivity two times that of cork. The walls' surface area is 850000 cm2 and their inside surface is at 18°C, while their outside surface is at 4°C. (Thermal conductivity of cork is 0.036 W/m°C). Calculate, (i) The rate of heat conduction through house walls in Watts: (1) Amount of heat conducted in Joules, in 5 min: 2) A spherical infrared heater of radius 6.5 cm and an emissivity of 0.82 radiates 0.48 kW of power. Given, Stefan's constant = 5.67x10 Wm K Calculate, Temperature of the heater in Celsius: 1) A 275-turns square loop of 34 cm on a side, carrying a current of 22 A creates a torque of 385 N m when the plane of the coil makes an angle 38° with the magnetic field.
Assume that the total surface area of a person's body is 1.4 m2 and his skin temprature is 10.6 °C (Assume his body acts as black body) If the temprature of surrounding is 35.2 °C, what is his net rate of heat loss by radiation? (Answer in one decimal places)
A perfectly insulated tank of negligible heat capacity contains P lb of brine at T, = 30°F. Hot brine at 100°F runs into the tank at the rate of 3 lb/min, and the brine in the tank, brought instantly to uniform, temperature throughout by vigorous stirring, runs out at the same rate. If the specific heat of the brine is c, =1 btu/lb-°F, find the temperature of the brine in the tank as a function of time. Use ho=1200 btu/lb, initial mass inside the tank P = 50 lb, and the amount of heat in the brine at a particular temperature is H = P\C,(T – T) + ho]. The change in the heat content in the brine during the time interval dt is dH. %3D
(a) Calculate the rate of heat conduction (in W) through house walls that are 11.5 cm thick and that have an average thermal conductivity twice that of glass wool. Assume there are no windows or doors. The surface area of the walls is 150 m2 and their inside surface is at 20.0°C, while their outside surface is at 5.00°C. 1565.21 (b) How many 1 kW room heaters would be needed to balance the heat transfer due to conduction? (Round your answer to the next whole integer.) 2 1 kW room heaters
15 cm diameter steel shaft is heated to 350°C for heat treatment. The shaft is then allowed to cool in air (at 20°C) while rotating about its own horizontal axis at 4 rpm. Compute the rate of convection heat transfer from the shaft when it has cooled to 100°C.
(a) Calculate the rate of heat conduction through house walls that are 13.0 cm thick and that have an average thermal conductivity twice that of glass wool. Assume there are no windows or doors. The surface area of the walls is 120m^2 and their inside surface is at 18.0ºC, while their outside surface is at 5.00ºC. (b) How many 1-kW room heaters would be needed to balance the heat transfer due to conduction?
The upthrust exerted on a steel ball which is immersed in paraffin of temperature 20 °C is 0.2145 N, and 0.200 N when the temperature of the paraffin is 100 °C:. Based on this measurement, find the volumetric thermal expansion cocfficient of paraffin if the coefficient of linear thermal expansion of steel is 1.2.10-5 1/°C.
a wall consist of 3.0 cm of exterior wood and 2.0 cm of interior wood spearated by a 15cm layer of polystyrene foam. if the interior is kept at 19 Celsius degree, calculate the outside temperature for which the heat loss through the is 10 W/m2