Aroom with dimensions 7.00m×8.00m×2.50m is to be filled with pure oxygen at 22.0∘c and 1.00 atm. the molar mass of oxygen is 32.0 g/mol.
how many moles noxygen of oxygen are required to fill the room?
what is the mass moxygen of this oxygen?

1) 5765 mol

First of all, we need to find the volume of the gas, which corresponds to the volume of the room:

Now we can fidn the number of moles of the gas by using the ideal gas equation:

where

is the gas pressure

is the gas volume

n is the number of moles

R is the gas constant

is the gas temperature

Solving for n,

2) 184 kg

The mass of one mole is equal to the molar mass of the oxygen:

so if we have n moles, the mass of the n moles will be given by

since n = 5765 mol, we find