A 4 gallon container holds 40 grams of nitrogen formula N2 m

A 4 gallon container holds 40 grams of nitrogen (formula: N₂, molecular weight = 28 grams per mole) at a temperature of 350 kelvin. What is the container pressure in units of kilopascals?

Solution

For this question you need to use the ideal gas law, PV=nRT. Since we are solving for pressure, P=nRT/V.
There are about 3.79 liters in a gallon, so our V=4*3.79
There are 101.325kPa in one atmosphere.
Our amount of moles is 40/28
And our ideal gas constant is .0821 for this question.
So we have P*101.325=40*.0821*350/28*4*3.79
Solve for P and we get P=40*.0821*350/28*4*3.79*101.325, which is equal to 2.6728*10^-2 kPa.

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