In: Chemistry
In a fixed-volume container at 25°C, NO2 gas partially combines to form N2O4 gas. The mass percentage of N2O4 in the resulting mixture is 76.3%, and the total pressure is 0.500 atm. What is the partial pressure of N2O4?
Answer – Given, mass percent of N2O4 = 76.3 % , total pressure = 0.500 atm
We assume solution mass =100 g
So, mass of N2O4 = 76.3 g , mass of NO2 = 100-76.3 = 23.7 g
Moles of N2O4 = 76.3 g / 92.01 g.mol-1 = 0.829 moles
Moles of NO2 = 23.7 g / 46.005 g.mol-1 =0.515 moles
So, mole fraction of N2O4 = 0.829 / 0.829+0.515
= 0.617
We know Raoult’s law
Partial pressure N2O4 = mole fraction * total pressure
= 0.617 * 0.500 atm
= 0.308 atm