Practice Problems
Heat Transfer Methods
Directions:
On this worksheet you will investigate properties of
the three heat transfer methods
.
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Question 1
Which method of heat transfer involves actual particles circulating from one region to another?
radiation
convection
conduction
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Question 2
Which heat transfer method can take place without a medium, that is, in a vacuum?
radiation
convection
conduction
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Question 3
Newton's Law of Cooling allows us to calculate the rate at which the temperature difference between a hot object and the ambient room temperature changes with the passage of time. T
_{diff}
= T
_{o}
e
^{-kt}
. At time t = 0, the original temperature difference between a hot solid and the ambient room temperature is 63.4 ºC. If the temperature difference drops to half that value in 16 seconds, what is the value of the decay constant, k?
0.0625 per second
0.0231 per second
0.0433 per second
0.0277 per second
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Question 4
At what time will the temperature difference equal 13.9ºC?
30.4 sec
52.4 sec
24.0 sec
35.0 sec
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Question 5
An incandescent black body has a peak wavelength of 584 nm when its temperature is 4966 Kelvin. What would be the temperature of a second blackbody radiator that has a peak wavelength of 490.56 nm?
5059 Kelvin
4640 Kelvin
4171 Kelvin
5912 Kelvin
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Question 6
Compare the rate at which energy is given off by the second black body in Question #5 which has a peak wavelength of 490.56 nm to the first black body which has a peak wavelength of 584 nm.
1.0 : 1
1.2 : 1
1.4 : 1
2.0 : 1
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Question 7
If two other incandescent solids are at the same temperature, but one has a surface area that is 5 times greater, how would the radiant power of the larger black body compare to the rate at which energy is emitted by the smaller black body?
it would be 5 times greater
it would be 625 times greater
it would be 1.50 times smaller
it would be 25 times greater
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Question 8
One end of a 63.4-cm copper rod (
a
= 385 W/mK) is placed in 100 grams of cold water at a temperature of 3.2 ºC. The other end is placed in the flame of a bunsen burner at a temperature of 941 ºC. If the rod has a radius of 0.5 cm, then what is the initial rate at which heat is conducted along the rod?
81.8 J/sec
11.6 J/sec
44.7 J/sec
17.9 J/sec
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Question 9
If a second copper rod has the same length as the rod in Question #8 but has a radius of 0.11 cm, how would the rate of conductivity be changed?
it would increase by a factor of 21
it would increase by a factor of 5
it would decease by a factor of 0.0484
it would not change
it would decease by a factor of 0.220
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Question 10
If a third copper rod has the same radius as the rod in Question #8, but a length of 87.49 cm, how would the rate of conductivity be changed?
it would be 14.4% as great
it would be 2.6% as great
it would be 62% as great
it would be 38% as great
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Question 11
A 350 watt immersion heater is used to heat a cup of water containing 211 grams of water and a piece of ice. The cup is made of styrofoam which is an insulator and does not give up or receive heat. If it takes 3.20 minutes for the heater to bring the contents of the cup from 0ºC to 65ºC, how much ice was originally present? Here are some constants: c
_{ice}
= 2093 J/kgºC, c
_{water}
=4186 J/kgºC, L
_{f}
= 334 kJ/kg
16.0 grams
35.6 grams
25.4 grams
45.0 grams
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