tutorial physics 1
TUTORIAL 1
1. Convert the following temperatures to their values on the Fahrenheit and Kelvin scales: (a) the boiling point of liquid hydrogen, –252.87°C (b) the temperature of a room at 20°C.
2. A constant-volume gas thermometer is calibrated in dry ice (–80.0°C) and in boiling ethyl alcohol (78.0°C). The respective pressures are 0.900 atm and 1.635 atm. (a) What value of absolute zero does the calibration yield? (b) What pressures would be found at the freezing and boiling points of water? (Note that we have the linear relationship P = A + BTc, where A and B are constants.)
3. The melting point of gold is 1 064°C, and the boiling point is 2 660°C. (a) Express these temperatures in Kelvins. (b) Compute the difference of the two temperatures in Celsius degrees and in Kelvins.
4. A cylindrical brass sleeve is to be shrink-fitted over a brass shaft whose diameter is 3.212 cm at 0°C. The diameter of the sleeve is 3.196 cm at 0°C. (a) To what temperature must the sleeve be heated before it will slip over the shaft? (b) Alternatively, to what temperature must the shaft be cooled before it will slip into the sleeve?
5. A cube of solid aluminum has a volume of 1.00 m3 at 20°C. What temperature change is required to produce a 100-cm3 increase in the volume of the cube?
6. A gold ring has an inner diameter of 2.168 cm at a temperature of 15.0°C. Determine its inner diameter at 100°C (αgold = 1.42 × 10–5 °C–1).
7. The Trans-Alaskan pipeline is 1 300 km long, reaching from Prudhoe Bay to the port of Valdez, and is subject to temperatures ranging from –73°C to +35°C. How much does the steel pipeline expand due to the difference in temperature?
8. (a) An ideal gas occupies a volume of 1.0 cm3 at 20°C and atmospheric pressure. Determine the number of molecules of gas in the container. (b) If the pressure of the 1.0-cm3 volume is reduced to 1.0 × 10–11 Pa (an extremely good vacuum) while the temperature remains constant, how many moles of gas
1. Convert the following temperatures to their values on the Fahrenheit and Kelvin scales: (a) the boiling point of liquid hydrogen, –252.87°C (b) the temperature of a room at 20°C.
2. A constant-volume gas thermometer is calibrated in dry ice (–80.0°C) and in boiling ethyl alcohol (78.0°C). The respective pressures are 0.900 atm and 1.635 atm. (a) What value of absolute zero does the calibration yield? (b) What pressures would be found at the freezing and boiling points of water? (Note that we have the linear relationship P = A + BTc, where A and B are constants.)
3. The melting point of gold is 1 064°C, and the boiling point is 2 660°C. (a) Express these temperatures in Kelvins. (b) Compute the difference of the two temperatures in Celsius degrees and in Kelvins.
4. A cylindrical brass sleeve is to be shrink-fitted over a brass shaft whose diameter is 3.212 cm at 0°C. The diameter of the sleeve is 3.196 cm at 0°C. (a) To what temperature must the sleeve be heated before it will slip over the shaft? (b) Alternatively, to what temperature must the shaft be cooled before it will slip into the sleeve?
5. A cube of solid aluminum has a volume of 1.00 m3 at 20°C. What temperature change is required to produce a 100-cm3 increase in the volume of the cube?
6. A gold ring has an inner diameter of 2.168 cm at a temperature of 15.0°C. Determine its inner diameter at 100°C (αgold = 1.42 × 10–5 °C–1).
7. The Trans-Alaskan pipeline is 1 300 km long, reaching from Prudhoe Bay to the port of Valdez, and is subject to temperatures ranging from –73°C to +35°C. How much does the steel pipeline expand due to the difference in temperature?
8. (a) An ideal gas occupies a volume of 1.0 cm3 at 20°C and atmospheric pressure. Determine the number of molecules of gas in the container. (b) If the pressure of the 1.0-cm3 volume is reduced to 1.0 × 10–11 Pa (an extremely good vacuum) while the temperature remains constant, how many moles of gas