A sample of nitrogen gas contains 5.0 mol in a volume of 3.5 L. Calculate the new volume of the container if the pressure and temperature are kept constant
but the number of moles of nitrogen is changed to 1.5 mol. Be sure your answer has the correct number of significant figures.
L
Initial moles of nitrogen = 5.0 mol
Initial volume = 3.5 L
Final moles of nitrogen = 1.5 mol
Using the ideal gas law, PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the gas constant, and T is the temperature (which is constant in this case).
Since pressure and temperature are constant:
P1V1 = n1RT
P2V2 = n2RT
Dividing the second equation by the first equation gives:
V2 = (n2/n1) * V1
V2 = (1.5 mol / 5.0 mol) * 3.5 L
V2 = 1.05 L
Therefore, the new volume of the container would be 1.05 L.