1. The kelvin temperature of a gas is doubled. By what factor does the average speed increase? 2. Calculate the average speed of helium ( gHe) molecules at a temperature of 15C. 3. Calculate the ratio of the average speed of oxygen (02) to carbon dioxide (C02) molecules when both gases are at the same temperature. 4. Nitrogen gas is sealed in a container at a temperature of 32 D K and a pressure of 1.01 x 105 Pa. a) Calculate the mean square speed of the molecules. b) Calculate the temperature at which the mean square speed of the molecules reduces to 50% of that in a). mean density of nitrogen gas over the temperatures considered = 1.2 kg m'3 ; Use p = 31,062 for question 1 part a