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Problem PageQuestion Nitric acid and nitrogen monoxide react to form nitrogen dioxide and water, like this: (aq)(g)(g)(l) At a certain temperature, a chemist finds that a reaction vessel containing a mixture of nitric acid, nitrogen monoxide, nitrogen dioxide, and water at equilibrium has the following composition: compound amount Calculate the value of the equilibrium constant for this reaction. Round your answer to significant digits. Clears your work. Undoes your last action. Provides information about entering answers.

1 Answer

6 votes

Answer:

3.4

Step-by-step explanation:

Nitric acid and nitrogen monoxide react to form nitrogen dioxide and water, like this: 2 HNO₃(aq) + NO(g) ⇄ 3 NO₂(g) + H₂O(l)

At a certain temperature, a chemist finds that a 9.5L reaction vessel containing a mixture of nitric acid, nitrogen monoxide, nitrogen dioxide, and water at equilibrium has the following composition:

compound amount

HNO₃ 15.5g

NO 16.6g

NO₂ 22.5g

H₂O 189.0g

Calculate the value of the equilibrium constant Kc for this reaction. Round your answer to 2 significant digits.

Step 1: Write the balanced equation.

2 HNO₃(aq) + NO(g) ⇄ 3 NO₂(g) + H₂O(l)

Step 2: Calculate the molar concentration of the species at equilibrium

We will use the following expression.

M = mass of solute / molar mass of solute × liters of solution

[HNO₃] = 15.5g / 63.01 g/mol × 9.5 L = 0.026 M

[NO] = 16.6g / 30.01 g/mol × 9.5 L = 0.058 M

[NO₂] = 22.5g / 46.01 g/mol × 9.5 L = 0.051 M

We do not calculate the molarity of water because it is a pure liquid and will not be included in the equilibrium constant.

Step 3: Calculate the equilibrium constant (Kc)

Kc = [NO₂]³/[HNO₃]²×[NO]

Kc = 0.051³/0.026²×0.058

Kc = 3.4

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