According to the ideal gas law, \( PV = nRT \), where \( P \) is pressure, \( V \) is volume, \( n \) is the number of moles, \( R \) is the ideal gas constant, and \( T \) is temperature. Since both gases are collected at the same pressure (1 atm) and occupy the same volume (10 L), the temperature must be the same for both gases, as they have different moles (1 mole of hydrogen and 0.5 moles of oxygen) but are still balanced by the equation \( T = \frac{PV}{nR} \).
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 gasses be equal? In one to two sentences, use the ideal gas law to explain your answer.
1 answer