
(a)
Interpretation:
Equilibrium reaction of NO with N2 and O2 is given, for the given conditions whether the system is at equilibrium or not has to be checked.
Concept Introduction:
Equilibrium constant(Kc):
Equilibrium constant (Kc) is the ratio of the rate constants of the forward and reverse reactions at a given temperature. In other words it is the ratio of the concentrations of the products to concentrations of the reactants. Each concentration term is raised to a power, which is same as the coefficients in the
Consider the reaction where A reacts to give B.
aA⇌bB
Rate of forward reaction = Rate of reverse reactionkf[A]a =kr[B]b
On rearranging,
[B]b [A]a=kfkr=Kc
Where,
kf is the rate constant of the forward reaction.
kr is the rate constant of the reverse reaction.
Kc is the equilibrium constant.
(a)

Explanation of Solution
Given reaction,
N2(g) + O2(g) ⇌ 2 NO(g) KC = 1.7 × 10-3 at 2300 K[N2] = [O2] = 0.25 M and [NO] = 0.0042 M
Calculate the value of QC,
QC = (Conc NO)2(Conc N2) (Conc O2) = (0.0042)2(0.25) (0.25) = 2.8 × 10-4
Compare the value of QC and KC,
QC ≠ KC
Therefore, the given reaction is not at equilibrium for the given conditions.
(b)
Interpretation:
Equilibrium reaction of NO with N2 and O2 is given, for the given conditions the direction of the reaction has to be given.
Concept Introduction:
Refer part (a)
(b)

Explanation of Solution
Given reaction,
N2(g) + O2(g) ⇌ 2 NO(g) KC = 1.7 × 10-3 at 2300 K[N2] = [O2] = 0.25 M and [NO] = 0.0042 M
Calculate the value of QC,
QC = (Conc NO)2(Conc N2) (Conc O2) = (0.0042)2(0.25) (0.25) = 2.8 × 10-4
Compare the value of QC and KC,
QC ≠ KC
The given reaction is not at equilibrium for the given conditions.
And also QC < KC so the given reaction must proceeds toward products to reach equilibrium condition.
(c)
Interpretation:
Equilibrium reaction of NO with N2 and O2 is given, concentrations of all three substances has to be calculated.
Concept Introduction:
Refer part (a)
(c)

Explanation of Solution
Given reaction,
N2(g) + O2(g) ⇌ 2 NO(g) KC = 1.7 × 10-3 at 2300 K[N2] = [O2] = 0.25 M and [NO] = 0.0042 M
Construct ICE table,
N2(g) + O2(g) ⇌ 2 NO(g) Initial conc. (M) 0.25 0.25 0.0042Change in conc. (M) - x - x + 2 xEquilibrium conc (M) 0.25 - x 0.25 - x 0.0042 + 2 x
At equilibrium,
KC = [NO]2[N2] [O2] = (0.0042 + 2x)2(0.25 - x) (0.25 - x) = 1.7 × 10-3
Solve for x,
take square root of each side, (0.0042 + 2x)(0.25 - x) = 0.041 0.0042 + 2x = 0.010 - 0.041 x (2 + 0.041) x = 0.010 - 0.0042 = 0.006therefore, x = 3 × 10-3 M
Calculate the concentrations,
[N2] = [O2] = 0.025 - x = 0.025 - 3 × 10-3 M = 0.25 M[NO] = 0.0042 + 2 x = 0.0042 M + 2 (3 × 10-3 M) = 0.0042 M + 0.006 = 0.010 M
Therefore, the concentration of N2 and O2 is 0.25 M and the concentration of NO is 0.010 M.
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