Q. 8.80 - An Introduction to General, Organic, and Biological Chemistry

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 $360 torr$?

Step-by-Step Solution

Answer

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

Step 1: Given Information

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

Step 2: 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 $P_N=360torr=360mmHg$.

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

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