Question 10.3.4: Use the ideal gas law to calculate density. Calculate the de......
Use the ideal gas law to calculate density
Calculate the density of oxygen gas at 788 mm Hg and 22.5 ºC.
You are asked to calculate the density of a gas at a given pressure and temperature.
You are given the identity of the gas and its pressure and temperature.
Equation 10.6 contains a constant (R = 0.082057 L·atm/K·mol), so all properties must have units that match those in the constant.
P = 788 mm Hg × \frac{1\text{ atm}}{760\text{ mm Hg}} = 1.04 atm
T = (22.5 + 273.15) K = 295.7 K
M(O_{2}) = 32.00 g/mol
Solve Equation 10.6 for density, and use it to calculate the density of oxygen under these conditions.
M = \frac{dRT}{P}
d = \frac{PM }{RT} = \frac{\left(1.04\text{ atm}\right)\left(32.00\text{ g/mol}\right) }{\left(0.082057\text{ L} \cdot \text{atm/K} \cdot \text{mol}\right) \left(295.7\text{ K}\right) } = 1.37 g/L