To determine the volume of hydrogen gas produced, we can use the ideal gas law equation:
PV = nRT
Where:
P = Pressure (in atm) = 0.940 atm
V = Volume of hydrogen gas (in liters) (the value we want to find)
n = Moles of hydrogen gas = 4.00 moles (since 1 mole of hydrochloric acid produces 1 mole of hydrogen gas)
R = Ideal gas constant = 0.0821 L·atm/(mol·K)
T = Temperature in Kelvin = 298 K
Rearranging the equation to solve for V, we have:
V = (nRT) / P
Substituting the given values:
V = (4.00 mol * 0.0821 L·atm/(mol·K) * 298 K) / 0.940 atm
≈ 100.94 L
Therefore, approximately 100.94 liters of hydrogen gas would be produced.