1. The coldest temperature recorded on Earth was in Antarctica: -128.5°F. Show y

Question

1. The coldest temperature recorded on Earth was in Antarctica: -128.5°F. Show your work as you convert this to Celsius degrees and then to Kelvins. Do the same for the hottest temperature on Earth in Furnace Creek, California: +134°F.

2. The height of the Freedom Tower in New York is 1776 feet (541 m). Assuming that the structure is made of steel, how much will the tower expand if the temperature of the building changes 10°C? Express your answer as a percentage of the original height and in meters.

3. Global warming will produce rising sea levels partly due to melting ice caps but also due to the expansion of water as average ocean temperatures rise. To get some idea of the size of this effect, calculate the change in length of a column of water 1.00 km high for a temperature increase of 1.00ºC. Note that this calculation is only approximate because ocean warming is not uniform with depth.

4. The gauge pressure in your car tires is 2.50Ý105 Pa at a temperature of 35.0°C. What is their gauge pressure later, when their temperature has dropped to 40.0ºC ? (Hint: Be careful to convert to absolute pressure and temperature before using the ideal gas law.)

5. Calculate and compare the root-mean-square speed of nitrogen molecules in the Earth's atmosphere with the escape speed of Earth. Do the same for hydrogen atoms in the corona of the Sun, where the temperature is 2 million K and the escape speed is about 600 km/s.

6. Pressure cookers increase cooking speed by raising the boiling temperature of water above its value at atmospheric pressure. (a) What pressure is necessary to raise the boiling point to 120.0ºC ? (b) What gauge pressure does this correspond to?

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