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

No, the temperatures of the gases will not be equal. According to the ideal gas law, at constant pressure and volume, the temperature of a gas is directly proportional to its molar quantity, so since the hydrogen gas and oxygen gas were produced in different molar quantities, their temperatures will be different.