Answer:
The molar mass of phosphorus chloride is 137.88 g/mol
Explanation:
Step 1: Data given
Mass of phosphorus = 2.46 grams
Its vapor took 1.77 times as long to effuse as the same amount of CO2 under the same conditions of temperature and pressure.
Step 2:
t1/t2 = √(M1/M2)
⇒with t1 = the time phosphorus chloride needed to effuse = 1.77t
⇒with t2 = the time CO2 needed to effuse = 1t
⇒with M1 = the molar mass of phosphorus chloride = TO BE DETERMINED
⇒with M2 = the molar mass of CO2 = 44.01 g/mol
1.77t / 1t = √(M1/44.01)
1.77 = √(M1/44.01)
3.1329 = M1 / 44.01
M1 = 3.1329 * 44.01
M1 = 137.88 g/mol
The molar mass of phosphorus chloride is 137.88 g/mol
