Question

What is the volume of a tank of nitrogen if it contains 17 moles of nitrogen at 34 C under 12,000 Pa?

Answer 1

To answer this question, we must use an equation that relates all of this information. The one that we need to use is the Ideal Gas Law, PV=nRT. However, to calculate properly, we will need to convert some of the numbers to different units so that the equation is usable. Change Celsius to Kelvin and change Pascals to atmospheres (1 atm = 101300 Pa) and we can substitute and simplify:

PV = nRT
(0.1185 atm)V = (17 mol)(0.0821 L•atm/K•mol)(307.15 K)
0.1185V = 428.689
V = 3617.63 L

The question asks for cubic meters, and 1,000 liters equals 1 m^3. Simply divide the answer by 1,000.

The volume that this would occupy is B, 3.62 m^3.

Hope this helps!