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19 Nov 2019

A cylinder is filled with pure oxygen. The initial pressure is 1 Atm and the temperature is O^oC. Initially, the volume of the gas is 0.500 liter.

The cylinder contains a small piece of solid red phosphorus. It is ignited and burns completely to form a white solid powder (P₂O₅). The difference in volume between the two solids can be neglected.

After cooling down to initial pressure and temperature, the volume of the gas is found to be reduced to 0.41 liter.
What was the mass of the phosphorus in milligrams?

Hint: First write a balanced reaction equation involving P, oxygen and the oxide.
Then use the "n" in the gas law to find what the volume change ÎV corresponds to.
Atomic mass for P: 31 g/mol
(Answer within 1% of correct value)

P-1Atm T-OOC phosphorus P-1Atm T-00C P205

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