Explanation:
We have to determine the volume of 0.2 mol of nitrogen at 20 °C and 0.7 atm. The ideal gas law describes this situation.
P * V = n * R * T
Where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant and T is the temperature.
We already know these some of these values.
P = 0.7 atm
n = 0.2 mol
R = 0.082 atm * L/(mol*K)
T = 20 ° C = 293.15 K
We can use the ideal gas law to determine the volume of the sample.
P * V = n * R * T
V = n * R * T/P
V = 0.2 mol * 0.082 atm*L/(mol*K) * 293.15 K/(0.7 atm)
V = 6.86 L
Answer: The volume is 6.86 L.
