Reaction between nitrogen and oxygen takes place as follows

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Question 7.8 Reaction between N2 and O2 takes place as follows:

2N2(g) + O2(g) <---> 2N2O(g)
If a mixture of 0.482 mol of N2 and 0.933 mol of O2 is placed in a 10 L reaction vessel and allowed to form N2O at a temperature for which Kc = 2.0 × 10–37, determine the composition of equilibrium mixture.
Class XI Equilibrium Page 225

Answered by admin @



k is very small, which means negligible amounts of N2 and O2 react .
it means conc. of reactants at intial ≈ conc . at equilibrium .
so,
conc. of N2 = [ N2 ] = (0.482 - 2x)/10 = 0.482/10
= 0.0482
conc. of O2 = [O2 ] = (0.933 - x)/10 = 0.933/10
= 0.0933

Kc = [N2O]²/[N2]² [O2]
2 × 10^-37 = [2x/10]²/(0.0482)² (0.0933)
2 × 10^-37 = 4x²/100(0.0482)² (0.0933)
x² = 10.837 × 10^-40
take square root
x = 3.292 × 10^-20

hence, conc. of [N2O] = 2x/10 = 2 × 3.92 × 10^-20/10 = 6.58 × 10^-21 M




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