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?
convection
radiation
conduction
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Question 2
Which heat transfer method can take place without a medium, that is, in a vacuum?
conduction
radiation
convection
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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 56.2 ºC. If the temperature difference drops to half that value in 15.8 seconds, what is the value of the decay constant, k?
0.0276 per second
0.0228 per second
0.0439 per second
0.0633 per second
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Question 4
At what time will the temperature difference equal 10.7ºC?
37.9 sec
56.8 sec
23.7 sec
27.0 sec
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Question 5
An incandescent black body has a peak wavelength of 436 nm when its temperature is 6651 Kelvin. What would be the temperature of a second blackbody radiator that has a peak wavelength of 309.56 nm?
6778 Kelvin
9368 Kelvin
4722 Kelvin
8410 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 309.56 nm to the first black body which has a peak wavelength of 436 nm.
1.4 : 1
1.1 : 1
2.0 : 1
3.9 : 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 3 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 1.32 times smaller
it would be 3 times greater
it would be 81 times greater
it would be 9 times greater
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Question 8
One end of a 56.2-cm copper rod (
a
= 385 W/mK) is placed in 100 grams of cold water at a temperature of 3.16 ºC. The other end is placed in the flame of a bunsen burner at a temperature of 992 ºC. If the rod has a radius of 0.3 cm, then what is the initial rate at which heat is conducted along the rod?
19.2 J/sec
41.2 J/sec
12.8 J/sec
5.0 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 0.057 cm, how would the rate of conductivity be changed?
it would increase by a factor of 5
it would decease by a factor of 0.190
it would decease by a factor of 0.0361
it would not change
it would increase by a factor of 28
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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 76.43 cm, how would the rate of conductivity be changed?
it would be 36% as great
it would be 13.0% as great
it would be 2.8% as great
it would be 64% as great
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Question 11
A 350 watt immersion heater is used to heat a cup of water containing 186 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 2.87 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
35.2 grams
25.1 grams
15.8 grams
44.5 grams
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