Practice Problems
Heat Transfer Methods
Topics:
On this worksheet you will investigate properties of
the three heat transfer methods
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The numerical values in this worksheet are randomly generated allowing students the opportunity to conveniently practice, and drill, common situations.
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Question 1
Which method of heat transfer involves actual particles circulating from one region to another?
conduction
convection
radiation
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Question 2
Which heat transfer method can take place without a medium, that is, in a vacuum?
convection
conduction
radiation
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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 59 ºC. If the temperature difference drops to half that value in 17.6 seconds, what is the value of the decay constant, k?
0.0394 per second
0.0568 per second
0.0254 per second
0.0287 per second
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Question 4
At what time will the temperature difference equal 14.2ºC?
26.4 sec
36.2 sec
54.4 sec
33.6 sec
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Question 5
An incandescent black body has a peak wavelength of 461 nm when its temperature is 6291 Kelvin. What would be the temperature of a second blackbody radiator that has a peak wavelength of 267.38 nm?
10846 Kelvin
12180 Kelvin
3649 Kelvin
6484 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 267.38 nm to the first black body which has a peak wavelength of 461 nm.
1.1 : 1
8.8 : 1
3.0 : 1
1.7 : 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 6 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 1296 times greater
it would be 36 times greater
it would be 6 times greater
it would be 1.57 times smaller
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Question 8
One end of a 59-cm copper rod (
a
= 385 W/mK) is placed in 100 grams of cold water at a temperature of 3.52 ºC. The other end is placed in the flame of a bunsen burner at a temperature of 933 ºC. If the rod has a radius of 0.6 cm, then what is the initial rate at which heat is conducted along the rod?
17.8 J/sec
22.9 J/sec
68.6 J/sec
92.1 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 0.144 cm, how would the rate of conductivity be changed?
it would decease by a factor of 0.0576
it would increase by a factor of 17
it would not change
it would increase by a factor of 4
it would decease by a factor of 0.240
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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 80.24 cm, how would the rate of conductivity be changed?
it would be 13.0% as great
it would be 36% 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 213 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 3.27 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
39.2 grams
49.5 grams
17.6 grams
27.9 grams
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