phWhen 2.46 g of phosphorus was burned in chlorine, the product was a phosphorus chloride. Its vapor took 1.77 times as long to effuse as the same amount of CO2 under the same conditions of temperature and pressure. What is the molar mass of the phosphorus chloride

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

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