Which of the following statements concerning equilibrium constants is true?

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BlackTom AI · Accepted Answer

The question asks which statement about equilibrium constants is true.

First, recall the general relationship: for a balanced reaction aA + bB ⇌ cC + dD, the equilibrium constant is K = [C]^c [D]^d / ([A]^a [B]^b), evaluated at a given temperature.

If we multiply all coefficients in the balanced equation by a factor n, the new reaction is n(aA + bB) ⇌ n(cC + dD). The new equilibrium constant K' becomes K' = [C]^{nc} [D]^{nd} / ([A]^{na} [B]^{nb}) = ( [C]^c [D]^d / [A]^a [B]^b )^n = K^n.

Now apply the specific claim: if the coefficients are multiplied by two (n = 2), then K' = K^2, which is the square of the original equilibrium constant.

Therefore, the statement “When the coefficients in a balanced chemical reaction are multiplied by two, the equilibrium constant is squared.” is true (assuming we keep temperature constant, since K is temperature-dependent).

Note potential sources of confusion: 
- The value of K changes with temperature; a change in temperature alters K, even if you also multiply coefficients. 
- If you think in terms of activities rather than concentrations, the same exponent rule applies as long as the activity coefficients remain consistent. 
- If the question had asked about a different multiplier n, the result would be K' = K^n, not necessarily a simple scaling by a constant factor other than a power.

Given that the provided option states the squared relationship when multiplying coefficients by two, and the mathematical derivation confirms K' = K^2 for n = 2, this option aligns with the correct exponential relationship between stoichiometric coefficients and the equilibrium constant under constant temperature.

Which of the following statements concerning equilibrium constants is true?

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Which of the following statements concerning equilibrium constants is true?

查看解析

登录即可查看完整答案

类似问题

Methanol is manufactured by the following exothermic reaction. CO (g) + 2H2 (g) ⇌ CH3OH (g) Which pair of changes will favour the forward reaction?[Fill in the blank]

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For the reaction N2(g) + 3 H2(g) 2 NH3(g) Kc = 0.0600 at a certain temperature. In an equilibrium mixture of the three gases, [NH3] = 0.242 M and [ H2] = 1.03 M. What is the concentration of N2 in this system?

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At a certain temperature the equilibrium constant, Kc, equals 0.11 for the reaction: What is the equilibrium concentration of ICl if 0.75 mol of I2 and 0.75 mol of Cl2 are initially mixed in a 2.0-L flask?

Consider the equilibrium system C(s) + CO2(g) ⇔2CO(g) If C is removed, the equilibrium will _____, and if CO is added, the equilibrium will _____.

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2SO2 (g) + O2 (g) ⇌ 2SO3 (g) For this exothermic reaction, the equilibrium constant, K = 781. If, after equilibrium has been reached, the volume of the vessel is suddenly increased the result will be:

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