Final answer:
To calculate the mass of hydrogen gas produced, use the ideal gas law equation and convert the given volume and pressure accordingly. Then, solve for the number of moles of hydrogen gas and convert moles to grams using the molar mass of hydrogen.
Step-by-step explanation:
To calculate the mass of hydrogen gas produced, we need to use the ideal gas law equation: PV = nRT. First, convert the given volume to liters by dividing 243ml by 1000. Then, convert the pressure from mm Hg to atm by dividing 745mm Hg by 760. Plug in the values into the equation and solve for n, the number of moles of hydrogen gas. Finally, use the molar mass of hydrogen to convert moles to grams.
Given: V = 243ml = 0.243L, P = 745mm Hg ÷ 760 = 0.9789 atm, T = 25°C = 298K
Using the ideal gas law equation: PV = nRT
(0.9789 atm)(0.243L) = n(0.0821 L atm/mol K)(298K)
n = 0.9789 atm × 0.243L ÷ (0.0821 L atm/mol K × 298K) = 0.0101 moles of hydrogen gas
To find the mass of hydrogen gas, multiply the number of moles by the molar mass of hydrogen: 0.0101 mol × 2.016 g/mol = 0.0204 g