# Problem: The partial pressures of CH4, N2, and O2 in a sample of gas were found to be 155 mmHg, 476 mmHg, and 669 mmHg, respectively. What is the mole fraction of nitrogen?20.90.8800.5150.4100.366

###### FREE Expert Solution

We’re being asked to calculate the mole fraction of N2 in a gas mixture containing CH4, N2, and O2.

Recall that the partial pressure of a gas (PGas) in a mixture is given by:

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

where:

χGas = mole fraction of the gas

Ptotal = total pressure of the gas mixture

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###### Problem Details

The partial pressures of CH4, N2, and O2 in a sample of gas were found to be 155 mmHg, 476 mmHg, and 669 mmHg, respectively. What is the mole fraction of nitrogen?

20.9

0.880

0.515

0.410

0.366