Nitrous oxide (N₂O, also known as laughing gas) has been used as an anesthetic. What is the density of N₂O at 750 torr and 30°C?

Question

Quizplus · Accepted Answer

To solve this problem, we can use 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 temperature. Rearranging this equation, we get:
density = (molar mass)/(RT/P)
The molar mass of N2O is 44.013 g/mol. We can use the given conditions to calculate the pressure, temperature, and gas constant:
P = 750 torr = 750/760 atm = 0.987 atm
T = 30°C = 273+30 = 303 K
R = 0.08206 L atm/(mol K)
Plugging in these values, we get:
density = (44.013 g/mol)/(0.08206 L atm/(mol K) * 303 K/0.987 atm)
density = 1.66 g/L, which is closest to choice D, 1.7 g/L. Therefore, the answer is D.

Nitrous Oxide (N2O, Also Known as Laughing Gas) Has Been

Nitrous Oxide (N₂O, Also Known as Laughing Gas) Has Been