# A mixture of two gases has a total pressure of 6.7 atm. If one gas has a partial pressure of 4.1 atm, what is the partial pressure of the other gas?

Jul 14, 2016

The partial pressure of the other gas is color(brown)(2.6 atm.

#### Explanation:

Before we begin let me introduce Dalton's Law of Partial Pressures equation:

Where ${P}_{T}$ is the total pressure of all gases in the mixture and ${P}_{1}$, ${P}_{2}$, etc. are the partial pressures of each gas.

Based on what you've given me, we know the total pressure, ${P}_{T}$, and one of the partial pressures (I'll just say ${P}_{1}$). We want to find ${P}_{2}$, so all we have to do is rearrange to equation to obtain the value of the second pressure:

${P}_{2} = {P}_{T} - {P}_{1}$

${P}_{2} = 6.7 a t m - 4.1 a t m$

Therefore, ${P}_{2}$ = 2.6 atm