Exercises on Thermal Physics I

1.The length of mercury thread of an unmarked mercury thermometer at ice point is 20 mm and the length of the thread at steam point is 120 mm. Determine:
a.What is the temperature in °C when the length of thread is 110 mm?
b.What is the length of the thread when the temperature is 20°C?

2.The length of mercury thread of an unmarked mercury thermometer at ice point is 14 mm and the length of the thread at steam point is 164 mm. Determine:
a.What is the temperature in °C when the length of thread is 44 mm?
b.What is the length of the thread when the temperature is 60°C?

3.A piece of wire with initial length 3,2 m gain length of 1,6 cm when the temperature rise in the amount of 300°C. What is the linear coefficient of the wire?

4.The length of a metal at 0°C is 1 m. If the linear coefficient of the steel is 25 x 10-6 /°C, then what is the length of the metal at 50°C?

5.A piece of metal has length of 5 m and being cooled from 100°C to 0°C. If the linear coefficient of the metal is 0, 000012/°C then what is the final length of the metal?

6.A piece of copper gain length of 0,076 cm if the temperature rises in the amount of 10°C. If the linear coefficient of the copper is 0, 000019/°C, what is the initial length of the copper?

7.The length of steel at 50°C is 60,03 cm. If the length of the steel at 0°C is 60 cm then what is the linear coefficient of the steel?

8.Volume of liquid X at 20°C is 200 cm3. Calculate the volume of liquid X if it’s being heated to 120°C. (γ liquid X = 0,0002/°C)!

9.A steel tank with 3 liters capacity was filled up. Then the steel tank was heated for 1 hour so the temperature of the tank and liquid A is uniform. Consider the rise of temperature of the tank and liquid was the same, 100°C, determine:
a.Will the liquid A spill out of the tank?
b.If yes, calculate the volume of the spill water!
(γ liquid A = 0,00021/°C ; α steel = 0,000012/°C)

10.Josh is building his own thermometer with his own scale (Josh degree). He decided that the temperature of melting ice in his scale is -10°Josh and the temperature of pure water steam is 90°Josh.
a.Find the conversion formula between Josh scale and Celsius scale!
b.If the in Josh thermometer is read 30°Josh, what is the scale in Celsius?
c.If in Celsius scale is read 70°C, what is the scale in Josh scale?

11.If the temperature in Fahrenheit scale show the same number in Celsius scale multiply by three (°F = 4 x °C) what is the temperature in Celsius scale?

12.Two pieces of railroads made of alloy steel will be joined together. Each of railroads is 10 m long at 30°C. If the maximum temperature at daylight can reach 40°C, calculate the gap between railroads so they have enough room to expand at daylight! (α steel = 0,000011/°C).