Question

A metal tank contains three gases: oxygen, helium, and nitrogen. If the partial pressures of the three gases in the tank are 45 atm of O2, 9 atm of N2, and 65 atm of He , what is the total pressure inside of the tank?

Answer 1

The total pressure of the gas inside the tank is 119 atm

Step-by-step explanation

Given that

The partial pressure of O2 is 45 atm

The partial pressure of N2 is 9 atm

The partial pressure of He is 65 atm

Follow the pressure below to find the total pressure of the mixture

Dalton's law of partial pressure states that the total pressure exerted by a mixture of gases is equal to the summation of the partial pressure of the individual gases.

Mathematically,

`\text{ P}_T\text{ = P}_A\text{ + P}_B\text{ + P}_C`

Substitute the given data into the formula above

`\begin{gathered} \text{ P}_T\text{ = 45 + 9 + 65} \\ \text{ P}_T\text{ = 119 atm} \end{gathered}`

Therefore, the total pressure of the gas inside the tank is 119 atm