Several properties of gases can be experimentally measured: temperature, pressure, volume, and the amount of the gas (i.e., the number of moles). The ideal gas law states that the relationship between these properties, or variables, in a mathematical formula.
The ideal gas law is PV = nRT.
P is the pressure in atmospheres (atm), V is the volume in liters (L), n is the number of moles, R is the gas constant (0.0821 L∙atm/(mol∙K)), and T is the temperature in Kelvins (K).
Using the ideal gas law, determine the volume of a 1.43 mole sample of nitrogen gas, under a temperature of 301 K and a pressure of 2.5 atm.
First, we need to rearrange the ideal gas law to solve for volume:
V = (nRT) / P
Plugging in the values:
V = (1.43 mol * 0.0821 L∙atm/(mol∙K) * 301 K) / 2.5 atm
V = (35.99143 L∙K)/(2.5 atm)
V = 14.4 L
Therefore, the volume of a 1.43 mole sample of nitrogen gas, under a temperature of 301 K and a pressure of 2.5 atm, is 14.4 L.