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, let's find the volume of the oxygen, which is equal to the volume of the room:

Then the other data of the oxygen that we have are

is the pressure

is the absolute temperature

Using the ideal gas equation:

we can find the number of moles of the gas, n:

2. 184.5 kg

The mass of the oxygen contained in the room is given by:

where

n = 5765 mol is the number of moles

Mm = 32.0 g/mol is the molar mass (the mass contained in 1 mol)

Using the equation, we find

Explanation:

As we know that volume of the room is defined as

now we know that

pressure of the gas at given conditions is

also the temperature of gas in room temperature is given as

now from ideal gas equation we know

Now for mass of oxygen we can use the relation of mass and atomic mass

measuring things 1 litre of water