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Question no. 8152

For the equilibrium A(g) + B(g) ⇌ AB(g), what is the equilibrium constant ‘K’ when the partial pressures of A, B, and AB are 10-2 atm, 10-3 atm, and 1 atm, respectively____________________?

Select your answer for: For the equilibrium A(g) + B(g) ⇌ AB(g), what is the equilibrium constant ‘K’ when the partial pressures of A, B, and AB are 10-2 atm, 10-3 atm, and 1 atm, respectively____________________?
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Answer: B. 105 atm-1

Explanation

The equilibrium constant equals product partial pressure divided by reactant partial pressures multiplied. Substituting the given values gives one divided by ten to the minus two times ten to the minus three. Evaluating the arithmetic yields ten to the fifth power with inverse atmosphere units. Equilibrium constants quantify the ratio of product concentrations to reactant concentrations at equilibrium. Partial pressures are expressed in atmospheres for gas-phase equilibrium constant calculations. Units for equilibrium constants depend on the stoichiometric mole changes of the balanced reaction.

Industrial ammonia synthesis reactors use equilibrium calculations to maximize product yields. Chemo-informatics software automatically computes gas-phase equilibrium constants for complex chemical mixtures. Understanding partial pressure ratios helps chemical engineers control reactor feed gas compositions. Ten with inverse atmosphere units results from incorrect exponent arithmetic during substitution. Ten dimensionless is wrong because the reaction involves a net decrease in moles. Ten to the fifth dimensionless ignores the necessary pressure units required for this expression.

Subject
Engineering
Topic
—
Difficulty
medium

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