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Nanyang Technological University
School of Physical and Mathematical Sciences
Division of Physics and Applied Physics
PH 1801 – Foundations of Physics I
Problem Set No. 6
Posted: Oct 9, 2014
---------------------------------------------------------------------------------------------------------------------------------Conceptual questions:
1. What is the difference between temperature and heat?
2. What is a thermometer and what are its working principles?
3. Metal lids on glass jars can often be loosened by running hot water over them. Why does that work? Problems:
1. In an alcohol-in-glass thermometer, the alcohol column has length 11.82 cm at 0.0°C and length
21.85 cm at 100.0°C. What is the temperature if the column has length (a) 18.70 cm, and (b)
14.60 cm?
2. Show that if the temperature on the Celsius scale changes by ΔTC , the Fahrenheit temperature changes by ΔTF=(9/5)ΔTC.
3. The Eiffel Tower is built of wrought iron approximately 300 m tall.
Estimate how much its height changes between January (average temperature of 2°C) and July (average temperature of 25°C). Ignore the angles of the iron beams and treat the tower as a vertical beam.
Coefficient of linear thermal expansion of iron is
.
4. The density of gasoline at is .
a) What is the density on a hot day, when the temperature is
?
b) What is the percent change in density?
c) What is the percentage of gasoline spilled at if initially we filled a steel tank full of gasoline at
?
Coefficient of linear thermal expansion of gasoline and steel are and , respectively.
5. A flat bimetallic strip consists of a strip of aluminium firmly glued to a strip of iron. When heated, the strip will bend. Which metal will be on the outside of the curve? Why?
Optional: Assuming a perfectly circular curvature, calculate the radius of curvature of the bimetallic strip when the temperate is raised by 50 , knowing that the initial length is 10 cm and each of the metals is 2 mm
School of Physical and Mathematical Sciences
Division of Physics and Applied Physics
PH 1801 – Foundations of Physics I
Problem Set No. 6
Posted: Oct 9, 2014
---------------------------------------------------------------------------------------------------------------------------------Conceptual questions:
1. What is the difference between temperature and heat?
2. What is a thermometer and what are its working principles?
3. Metal lids on glass jars can often be loosened by running hot water over them. Why does that work? Problems:
1. In an alcohol-in-glass thermometer, the alcohol column has length 11.82 cm at 0.0°C and length
21.85 cm at 100.0°C. What is the temperature if the column has length (a) 18.70 cm, and (b)
14.60 cm?
2. Show that if the temperature on the Celsius scale changes by ΔTC , the Fahrenheit temperature changes by ΔTF=(9/5)ΔTC.
3. The Eiffel Tower is built of wrought iron approximately 300 m tall.
Estimate how much its height changes between January (average temperature of 2°C) and July (average temperature of 25°C). Ignore the angles of the iron beams and treat the tower as a vertical beam.
Coefficient of linear thermal expansion of iron is
.
4. The density of gasoline at is .
a) What is the density on a hot day, when the temperature is
?
b) What is the percent change in density?
c) What is the percentage of gasoline spilled at if initially we filled a steel tank full of gasoline at
?
Coefficient of linear thermal expansion of gasoline and steel are and , respectively.
5. A flat bimetallic strip consists of a strip of aluminium firmly glued to a strip of iron. When heated, the strip will bend. Which metal will be on the outside of the curve? Why?
Optional: Assuming a perfectly circular curvature, calculate the radius of curvature of the bimetallic strip when the temperate is raised by 50 , knowing that the initial length is 10 cm and each of the metals is 2 mm