Question

A container contains a mixture of hydrogen, oxygen and nitrogen gases. The pressure of hydrogen is 78 kPa. The pressure of oxygen is 2.4416kPa. The pressure of nitrogen is 59.8 kPa. What is the total pressure of the container?

Answer 1

Answer: The total pressure of the container is 140.2416 kPa

Explanation:

Dalton's law of partial pressure states that the total pressure of the system is equal to the sum of partial pressure of each component present in it.

To calculate the total pressure, we use the law given by Dalton, which is:

$P_T=p_{H_2}+p_{O_2}+p_{N_2}$

We are given:

Vapor pressure of hydrogen gas, $p_{H_2}$ = 78 kPa

Vapor pressure of oxygen gas, $p_{O_2}$ = 2.4416 kPa

Vapor pressure of nitrogen gas, $p_{N_2}$ = 59.8 kPa

Putting values in above equation, we get:

$P_T=78+2.4416+59.8\\\\P_T=140.2416kPa$

Hence, the total pressure of the container is 140.2416 kPa