Question

A scuba tank contains a mixture of oxygen (O2) and nitrogen (N2) gas. The oxygen has a partial pressure of PO2=5.62MPa. The total gas pressure is 26.78 MPa. What is the partial pressure of nitrogen gas in the tank?

Answer 1

The partial pressure of Nitrogen gas in the tank = 21.16 MPa.

Step-by-step explanation:

According to Dalton's Law of partial pressure for gases, the total pressure of a mixture of gas under unchanging conditions is a sum of the partial pressures of each of the individual constituent gas.

The mixture consists of Nitrogen and oxygen gas. Hence, mathematically,

Total Pressure of the mixture = (Partial Pressure of Oxygen gas) + (Partial Pressure of Nitrogen gas)

Total Pressure of the mixture = 26.78 MPa.

Partial Pressure of Oxygen gas = 5.62 MPa.

Partial Pressure of Nitrogen gas = ?

26.78 = 5.62 + (Partial Pressure of Nitrogen gas)

Partial Pressure of Nitrogen gas = 26.78 - 5.62 = 21.16 MPa.

Hope this Helps!!!

Answer 2

21.16 MPa

Step-by-step explanation:

Partial pressure of oxygen = 5.62 MPa

Total gas pressure = 26.78 MPa

But

Total pressure of the gas= sum of partial pressures of all the constituent gases in the system.

This implies that;

Total pressure of the system = partial pressure of nitrogen + partial pressure of oxygen

Hence partial pressure of nitrogen=

Total pressure of the system - partial pressure of oxygen

Therefore;

Partial pressure of nitrogen= 26.78 - 5.62

Partial pressure of nitrogen = 21.16 MPa