To **calculate total pressure P _{tot}**:

Recall that the ** partial pressure of a gas (P_{Gas})** in a mixture is given by:

$\overline{){{\mathbf{P}}}_{{\mathbf{gas}}}{\mathbf{=}}{{\mathbf{\chi}}}_{{\mathbf{gas}}}{{\mathbf{P}}}_{{\mathbf{total}}}}$

where **χ**** _{Gas}** = mole fraction of the gas and

The ** mole fraction of the gas** is then given by:

$\overline{){\mathbf{m}}{\mathbf{o}}{\mathbf{l}}{\mathbf{e}}{\mathbf{}}{\mathbf{f}}{\mathbf{r}}{\mathbf{a}}{\mathbf{c}}{\mathbf{t}}{\mathbf{i}}{\mathbf{o}}{\mathbf{n}}{\mathbf{}}{\mathbf{\left(}}{\mathbf{\chi}}{\mathbf{\right)}}{\mathbf{=}}\frac{\mathbf{m}\mathbf{o}\mathbf{l}\mathbf{e}\mathbf{}\mathbf{o}\mathbf{f}\mathbf{}\mathbf{gas}}{\mathbf{total}\mathbf{}\mathbf{m}\mathbf{o}\mathbf{l}\mathbf{es}\mathbf{}\mathbf{o}\mathbf{f}\mathbf{}\mathbf{gas}}{\mathbf{=}}\frac{\mathbf{\#}\mathbf{}\mathbf{of}\mathbf{}\mathbf{particles}\mathbf{}\mathbf{of}\mathbf{}\mathbf{diatomic}\mathbf{}\mathbf{gas}\mathbf{}}{\mathbf{total}\mathbf{}\mathbf{\#}\mathbf{\hspace{0.17em}}\mathbf{of}\mathbf{}\mathbf{particles}}}$

Consider this molecular-level representation of a gas.

If the partial pressure of the diatomic gas is 0.810 atm, what is the total pressure?

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