Liquid water can be separated into hydrogen gas and oxygen gas through electrolysis. 1 mole of hydrogen gas and 0.5 moles of oxygen gas is produced from 1 mole of liquid water collected in separate 10 L containers, at 1 atm. Will the temperatures of the gases be equal? In one to two sentences, use the ideal gas law to explain your answer. (2 points)
No, the temperatures of the gases will not be equal. According to the ideal gas law, the temperature of a gas is directly proportional to its pressure and the number of moles, while inversely proportional to its volume. As the number of moles of hydrogen gas and oxygen gas produced from 1 mole of liquid water is different, their pressures and volumes will also be different, resulting in different temperatures.
According to the ideal gas law, the temperature of a gas is directly proportional to its pressure and the number of moles, but inversely proportional to its volume. Since both gases are collected separately, in separate containers, they will have different volumes and therefore different temperatures.
According to the ideal gas law, at constant pressure, temperature and volume are directly proportional. Since the gases are collected at the same pressure and volume, they will have equal temperatures if the number of moles and the conditions are the same.
