An oxygen cylinder of volume 30 litres has an initial gauge pressure of 15 atm and a temperature of After some oxygen is withdrawn from the cylinder, the gauge pressure drops to 11 atm and its temperature drops to . Estimate the mass of oxygen taken out of the cylinder , molecular mass of .
An oxygen cylinder of volume 30 litres has an initial gauge pressure of 15 atm and a temperature of After some oxygen is withdrawn from the cylinder, the gauge pressure drops to 11 atm and its temperature drops to . Estimate the mass of oxygen taken out of the cylinder , molecular mass of .

Volume of gas is given as litres

Gauge pressure is given as a

Temperature is given as

Universal gas constant is known as

Let be the initial number of moles of oxygen gas in the cylinder.

We have the gas equation as,

So,

But

Where,

is the Initial mass of oxygen
is the Molecular mass of oxygen having value

Thus,

The pressure and temperature drop after some oxygen is removed from the cylinder.

Volume is given as litres

Gauge pressure is given as

Temperature is given as

Let the number of moles of oxygen left in the cylinder be .

The gas equation is given as:

So,

But

Where,

mass of oxygen remaining in the cylinder

Hence,

The mass of oxygen taken out of the cylinder can be calculated using the following formula: Mass of oxygen in the cylinder at the start – Mass of oxygen in the cylinder at the end

We get,

As a result, mass of oxygen is taken out of the cylinder is .