18.4 g of N2O4 is taken in a 1 lit closed vessel and heated till the e...
Given:
- Initial amount of N2O4 = 18.4 g
- Volume of the closed vessel = 1 L
- Equilibrium reaction: N2O4 ⇌ 2NO2
- At equilibrium, 50% of N2O4 is dissociated
To find:
The value of the equilibrium constant, Kc
Solution:
Step 1: Calculate the moles of N2O4:
The molar mass of N2O4 = 92 g/mol
Moles of N2O4 = Mass / Molar mass
Moles of N2O4 = 18.4 g / 92 g/mol
Moles of N2O4 = 0.2 mol
Step 2: Calculate the moles of NO2:
Since the reaction is 1:2, the moles of NO2 formed will be twice the moles of N2O4 dissociated.
Moles of NO2 = 2 * Moles of N2O4 dissociated
Moles of NO2 = 2 * (0.5 * 0.2 mol) (50% of N2O4 is dissociated)
Moles of NO2 = 0.2 mol
Step 3: Write the expression for the equilibrium constant, Kc:
Kc = [NO2]^2 / [N2O4]
Kc = (0.2 mol/L)^2 / (0.2 mol/L)
Kc = 0.2 mol/L
Step 4: Interpret the value of Kc:
The value of Kc is 0.2 mol/L. Since the concentration of both NO2 and N2O4 is the same, the value of Kc is equal to the concentration of NO2 squared.
Conclusion:
The value of the equilibrium constant, Kc, for the reaction N2O4 ⇌ 2NO2, is 0.2 mol/L.
18.4 g of N2O4 is taken in a 1 lit closed vessel and heated till the e...
0.4