An investigation was carried out to determine the equilibrium constant for the f

Question

An investigation was carried out to determine the equilibrium constant for the following system : 2 NO2 (g) <-> N2O4 (g)
N2O4 is reddish-brown and can be detected with a colorimeter. A standard curve was constructed with known concentrations of N2O4 and the plot of Absorbance vs [N2O4] gave a linear relationship. The equation for the line is : y = 2.093x

The investigators pumped .300 mole of NO2 (g) into a 1.00 L container, and the system reached equilibrium quickly. At equilibrium, the sample gave an absorbance reading of .270. Use the data from this trial to calculate the equilibrium constant Kc for the reaction. Show all of your work.

Explanation / Answer

A=(el) conc , given it is form y=2.093x where y=A,c=x , el =2.093 2moles NO2 gives 1 mole N2O4 when 0.3 NO2 is pumped 0.3-x moles NO2 gives x/2 moles N2O4 A=0.27= el conc conc = 0.27/el = 0.27/2.093 =0.129 = x/2 =conc of N2O4 , x= 0.258 [NO2]=0.3-0.258 = 0.042 kc=[N2O4]/[NO2]^2 = 0.129/(0.042)^2 = 73.129 M-1

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