Describe the components of and quantitative information from models and representations that illustrate both particulate-level and macroscopic-level properties.
Barometer: measures atmospheric pressure as the height of a mercury column supported by the atmosphere. Standard atmospheric pressure supports 760 mm Hg.
Manometer: measures the pressure of an enclosed gas relative to the atmosphere.
Unit conversions from the equation sheet: 1 atm = 760 mm Hg = 760 torr.
Collecting gas over water. Gas collected by water displacement is saturated with water vapor, so it is a mixture. By Dalton's law:
Pgas = Ptotal − PH₂O
The vapor pressure of water depends only on temperature and is supplied in a table. Forgetting to subtract it overstates the amount of gas collected — one of the most frequently tested lab errors in Unit 3.
Levelling the water. Before reading the volume, raise or lower the collection tube so the water level inside matches the level outside. Only then does the total pressure inside equal atmospheric pressure.
A student collects 45.2 mL of hydrogen over water at 22.0 °C. The barometric pressure is 748 torr and the vapor pressure of water at 22.0 °C is 19.8 torr. Calculate the moles of H₂ collected.
Correct for water vapor:
P(H₂) = Ptotal − P(H₂O) = 748 − 19.8 = 728 torr
Convert to atm: 728 ÷ 760 = 0.958 atm
Convert the other quantities:
V = 45.2 mL = 0.0452 L
T = 22.0 + 273.15 = 295.2 K
Apply PV = nRT:
n = PV/RT = (0.958)(0.0452) / [(0.08206)(295.2)]
n = 0.04330 / 24.22 = 1.79 × 10⁻³ mol H₂
Skipping the vapor-pressure correction would have given 1.84 × 10⁻³ mol — about 3% too high. At higher temperatures the error grows rapidly.