🤓 Based on our data, we think this question is relevant for Professor Wofford's class at Charleston Southern University.

(1) Calculate moles of N_{2}:

$\overline{){\mathbf{PV}}{\mathbf{=}}{\mathbf{nRT}}}\phantom{\rule{0ex}{0ex}}\mathbf{n}\mathbf{}\mathbf{=}\mathbf{}\frac{\mathbf{PV}}{\mathbf{RT}}\mathbf{=}\frac{(1\overline{)\mathrm{atm}})(4\overline{)L})}{(0.08206{\displaystyle \frac{\overline{)L\mathrm{atm}}}{\mathrm{mol}\overline{)K}}})(273\overline{)K})}$

n = 0.1786

(2) Calculate moles of H_{2}:

$\overline{){\mathbf{PV}}{\mathbf{=}}{\mathbf{nRT}}}\phantom{\rule{0ex}{0ex}}\mathbf{n}\mathbf{}\mathbf{=}\mathbf{}\frac{\mathbf{PV}}{\mathbf{RT}}\mathbf{=}\frac{\mathbf{(}\mathbf{1}\mathbf{}\overline{)\mathbf{atm}}\mathbf{)}\mathbf{(}\mathbf{2}\mathbf{}\overline{)\mathbf{L}}\mathbf{)}}{\mathbf{(}\mathbf{0}\mathbf{.}\mathbf{08206}\mathbf{}{\displaystyle \frac{\overline{)L\mathrm{atm}}}{\mathrm{mol}\overline{)K}}}\mathbf{)}\mathbf{(}\mathbf{273}\mathbf{}\overline{)\mathbf{K}}\mathbf{)}}$

A 4.0-L vessel containing N_{2} at STP and a 2.0-L vessel containing H_{2} at STP are connected by a valve. If the valve is opened allowing the two gases to mix, what is the mole fraction of hydrogen in the mixture?

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Standard Temperature and Pressure concept. You can view video lessons to learn Standard Temperature and Pressure. Or if you need more Standard Temperature and Pressure practice, you can also practice Standard Temperature and Pressure practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Wofford's class at Charleston Southern University.