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Ch.15 - Chemical Equilibrium
Chapter 15, Problem 93

The air pollutant NO is produced in automobile engines from the high-temperature reaction N2(g) + O2(g) ⇌ 2 NO(g); Kc = 1.7 * 10^-3 at 2300 K. If the initial concentrations of N2 and O2 at 2300 K are both 1.40 M, what are the concentrations of NO, N2, and O2 when the reaction mixture reaches equilibrium?

Verified step by step guidance
1
Step 1: Write the balanced chemical equation for the reaction: N2(g) + O2(g) ⇌ 2 NO(g).
Step 2: Set up an ICE (Initial, Change, Equilibrium) table to track the concentrations of N2, O2, and NO. Initially, [N2] = 1.40 M, [O2] = 1.40 M, and [NO] = 0 M.
Step 3: Define the change in concentration for the reaction. Let x be the change in concentration of N2 and O2 that reacts. Therefore, the change for NO will be +2x, and for N2 and O2, it will be -x.
Step 4: Express the equilibrium concentrations in terms of x: [N2] = 1.40 - x, [O2] = 1.40 - x, and [NO] = 2x.
Step 5: Substitute the equilibrium concentrations into the expression for the equilibrium constant Kc: Kc = ([NO]^2) / ([N2][O2]) = (2x)^2 / ((1.40 - x)(1.40 - x)) and solve for x.
Related Practice
Textbook Question
The following reaction, which has Kc = 0.145 at 298 K, takes place in carbon tetrachloride solution: 2 BrCl1soln2 ∆ Br21soln2 + Cl21soln2 A measurement of the concentrations shows 3BrCl4 = 0.050 M, 3Br24 = 0.035 M, and 3Cl24 = 0.030 M. (b) Determine the equilibrium concentrations of BrCl, Br1, and Cl2.
265
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Textbook Question
An equilibrium mixture of N2, H2, and NH3 at 700 K con- tains 0.036 M N2 and 0.15 M H2. At this temperature, Kc for the reaction N21g2 + 3 H21g2 ∆ 2 NH31g2 is 0.29. What is the concentration of NH3?
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Open Question
An equilibrium mixture of O2, SO2, and SO3 contains equal concentrations of SO2 and SO3. Calculate the concentration of O2 if Kc = 2.7 * 10^2 for the reaction 2 SO2(g) + O2(g) ⇌ 2 SO3(g).
Textbook Question
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296
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Open Question
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1319
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