Question

a mixture of helium,nitrogen,and oxygen has a total pressure of 723 mmHg. the partial pressure of helium is 194 mmHg, and the partial pressure of nitrogen is 262 mmHg. what is the partial pressure (in mmHg) of oxygen in the mixture

Answer 1

267 mmHg.

Step-by-step explanation:

What is given?

Total pressure = 723 mmHg

Partial pressure of helium (He) = 194 mmHg.

Partial pressure of nitrogen (N) = 262 mmHg.

Step-by-step solution:

Let's see the formula of total pressure:

`P_(TOTAL)=P_1+P_2+...`

Let's write the formula to our context if we have 3 different gases:

`P_(TOTAL)=P_(He)+P_(Ni)+P_O.`

We want to find the partial pressure of oxygen (O), so let's solve for Po which is the unknown value in the formula, and replace the given data:

`\begin{gathered} P_O=P_(TOTAL)-P_(He)-P_N \\ P_O=723\text{ mmHg-194 mmHg-262mmHg,} \\ P_O=267\text{ mmHg.} \end{gathered}`

The partial pressure of oxygen is 267 mmHg.