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Temperature Scales and Thermal Expansion Worksheet 1 (Linear)
1.
A 1.00 x l-0a meter steel railroad track with a coefficient of linear expansion of L2 x 1,06
per degree Celsius changes temperature from L8"C to 38"C. By how many meters will
the railroad tracks expand?
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Railroad tracks are segmented
into short pieces. Why is this a good idea in a place like
Saskatchewa n?
3. The EiffelTower in Paris is324 meterstall,
and is made primarilyof iron, which has
a
coefficientof linearexpansion of 1,2x106. TheaveragelowinParisisl.00"Candthe
average high is 24"C. What is average change in height the tower experiences each
yea r?
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4.
By how much wo uld you need
to heat a 10.0 foot bar of zinc to make it expand by one
inch? The coeffic ient of linear expans ion of zinc is 30 x l-0-o per degree Celsius.
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A metal bar changes in length by 1.00 meter with a L50 degree Celsius change
temperature. lt's coefficient of linear expansion is 25 x 10-'per degree Celsius. What
the metal bar's original length?
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6.
An unknown metal alloy is being tested to discover its thermal properties to see if it is
suitable for use as a component in an aircraft wing. The alloy is formed into a bar
measuring l-.00 meter in length, and is then heated from its starting temperature of 30
degrees Celsius to a finaltemperature of 100.0 degrees Celsius. The length of the
tof
heated bar is measured to be exactly L.002 meters in length. What is th
thermal expansion of the alloy to 2 significant f
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7.
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The aircraft wing from problem 6 experiences temperature extremes that span 2L0
degrees Celsius. The component for the wing will have a length of 3.00 meters. Testing
indicates that the aircraft wing will remain stable only if the component never expands
to a length largerthan 3.01-7 meters. lf the component is made from the metal alloy in
question, will it meet this requirement?
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B. What are 40"C and -45"C in Kelvin?
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9.
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A rod 1.0 m long expands 0.50 mm when heated from 20."C to 84"C. What is the
coefficient of linear expansion of the material frgl
fro_p which the rod
rod is made?
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steel girder
m at 20."C. lf the temperature drops to
what the length
-6
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tr
10. A
is 32.1-0
5.0"C,
of the girder? (Answer to 2 decimal places.)
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l-1. A metal rod has a length of L00. cm at 200."C. At what temperature will the length be
1?
99.6 cm if the coefficient of linear expansion of the material in the rod is 2.0 x 10-s "C
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to 250.0
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gth of a 6.00
m aluminum rod if the temperature changes from
6.(
12. What is tft ffial leneth
L+-_?
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13. What'is the change in the length'of a 1-5.0 m steel rail as it is cooled from 1535'C to
20"c?
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A2 lLYlo M. o]oo.o cm copper wire and
6
a2OL cm platinum (9.0 x 10 "C-1) wire are both at exactly
0"C. At what temperature wil I they be of equal length?
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4" LtTr -Jf LfT= Lf- Lc
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A circular pyrex (+.0 x rb
6
watch glass of LO.O cm diameter at2L"C is heated to
501"C. What change will be found in the circumference of the glass?
"C-1)
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