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Potassium chlorate, kclo3, decomposes according to the reaction: 2kclo3 → 2kcl 3o2 if the rate of decomposition of kclo3 at a certain time is determined to be 2.4 x 10-2 mol s-1, what is the rate of formation of kcl at the same time

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Final answer:

The rate of formation of KCl is the same as the rate of decomposition of KClO₃, which is 2.4 × 10⁻² mol s⁻¹.

Step-by-step explanation:

The rate of decomposition of Potassium chlorate, or KClO₃, is given as 2.4 × 10⁻² mol s⁻¹. Based on the balanced chemical equation provided, 2KClO₃ → 2KCl + 3O₂, there is a 1:1 molar ratio between KClO₃ and KCl. Therefore, if KClO₃ is decomposing at a rate of 2.4 × 10⁻² mol s⁻¹, then KCl is being formed at the same rate, which is also 2.4 × 10⁻² mol s⁻¹, since both KClO₃ and KCl have a coefficient of 2 in the balanced equation, indicating equal amounts change per unit time.

User Try
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2.4 * 10^(-2) \; \text{mol} \cdot \text{s}^(-1)

Explanation

Referring to coefficients of
\text{KClO}_3 and
\text{KCl} the equation, the decomposition of every
2 moles of potassium chlorate would yield
2 moles of potassium chloride. At any time in the reaction process the rate of production of
\text{KCl} shall equals to the rate at which
\text{KClO}_3 is being consumed.

The question states that the reaction consumes
2.4 * 10^(2) \; \text{mol} of
\text{KClO}_3 every single second on average. One would thus expect it to produce the same amount of
\text{KCl} in the same period of time.
\text{KCl} is thus produced at a rate of
2.4 * 10^(2) \; \text{mol} \cdot \text{s}^(-1)

User Dheeraj Pande
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