Questions: Arrange the gases from most dense to least dense at a given temperature and pressure.
Most dense
Least dense
Answer Bank
SF6
F2
SO2
CH4
NH3
Transcript text: Arrange the gases from most dense to least dense at a given temperature and pressure.
Most dense
Least dense
Answer Bank
$\mathrm{SF}_{6}$
$\mathrm{F}_{2}$
$\mathrm{SO}_{2}$
$\mathrm{CH}_{4}$
$\mathrm{NH}_{3}$
Solution
Solution Steps
Step 1: Calculate the molar mass of each gas
The density of a gas is directly proportional to its molar mass. Therefore, the gas with the highest molar mass will be the most dense, and the gas with the lowest molar mass will be the least dense.
SF6: (1 x 32.07 g/mol) + (6 x 19.00 g/mol) = 146.07 g/mol
F2: 2 x 19.00 g/mol = 38.00 g/mol
SO2: (1 x 32.07 g/mol) + (2 x 16.00 g/mol) = 64.07 g/mol
CH4: (1 x 12.01 g/mol) + (4 x 1.01 g/mol) = 16.05 g/mol
NH3: (1 x 14.01 g/mol) + (3 x 1.01 g/mol) = 17.04 g/mol
Step 2: Arrange the gases in order of decreasing molar mass
The order from most dense to least dense: SF6 > SO2 > F2 > NH3 > CH4