Finding the composition of a mixture at equlibrium

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SUMMARY

The discussion focuses on calculating the equilibrium composition of a mixture containing 0.723 mol each of N2 and O2 in a 7.20 L vessel at 3900°C, with a given equilibrium constant (Kc) of 0.0123. The user utilized an ICE table to track changes in concentration and applied the quadratic formula to solve for x, the change in concentration. Despite initially obtaining an incorrect value for x due to using a wrong reference value, the method of setting up the equilibrium expression and solving the quadratic equation was confirmed to be correct.

PREREQUISITES
  • Understanding of chemical equilibrium concepts
  • Familiarity with ICE (Initial, Change, Equilibrium) tables
  • Proficiency in using the quadratic formula
  • Knowledge of equilibrium constants (Kc) and their applications
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  • Review the derivation and application of the ICE table in equilibrium problems
  • Practice solving quadratic equations in the context of chemical equilibria
  • Explore the implications of temperature changes on equilibrium constants
  • Learn about Le Chatelier's principle and its effect on equilibrium shifts
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Homework Statement



Initially a mixture contains 0.723 mol each of N2 and O2 in an 7.20 L vessel. Find the composition of the mixture when equilibrium is reached at 3900°C. For the reaction below, the Kc = 0.0123 at 3900°C.
N2(g) + O2(g) 2 NO(g)



Homework Equations


I.C.E Tables (not an equation but relevant) and the quadtratic formula

x=-b +or- sq root(b^2 -4ac) / 2a


The Attempt at a Solution



I did my I.C.E Table
Conc.(M) N2 + O2 --> 2 NO
Start 0.6025 0.6025 0
Change -x -x 2x
Eq. 0.6025-x 0.6025-x 2x

Then I plugged that into my Kc formula
Kc=[products]/[reactants]
0.0123=[2x]^2/[0.6025-x][0.6025-x]

I then rearranged that to get a quadratic equation to solve for x (this is where I think I made a mistake)
-324x^2 -1.205x +0.3630=0
I plugged it into the quadratic formula and
got 0.03166 for x, which i plugged into the equations from the EQ. line in my I.C.E table, however when i plugged those values into the Kc formula, i didn't come out with the Kc value I was given (0.0123)

Can anyone help?
 
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nevermind, I was (stupidly) using a value from another question, but my method was right.
 

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