Question

What is the total pressure, in millimeters of mercury, of a gas mixture containing argon gas at$0.25atm$,helium gas at$350mmHg$, and nitrogen gas at$360torr$?

Short answer

The total pressure of a gas mixture is$900mmHg$.

Step-by-step solution

Given Information

We have given the partial pressure of argon is $0.25atm$, of helium is $350mmHg$and of nitrogen is$360torr$.

Simplify

Considering the given conditions

The partial pressure of argon $P_{Ar}=0.25atm=\left(0.25\times 760\right)mmHg=190mmHg$,

the partial pressure of helium $P_{He}=350mmHg$

and the partial pressure of nitrogen role="math" localid="1652688858358" $P_N=360torr=360mmHg$.

Dalton's law states that the sum partial pressure of the gasses in the mixture is the total pressure of the gas.

So, total pressure is

$$\begin{gathered} P_{total}=P_{Ar}+P_{He}+P_N \\ {P}_{total}=190mmHg+350mmHg+360mmHg \\ {P}_{total}=900mmHg \end{gathered}$$