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3. Given the reaction: \( \mathrm{Mg}+2 \mathrm{H}_{2} \mathrm{O} \rightarrow \mathrm{Mg}(\mathrm{OH})_{2}+\mathrm{H}_{2} \) At which temperature will the reaction occur at the greatest rate? \( \begin{array}{llll}25^{\circ} \mathrm{C} & \text { B) } 50^{\circ} \mathrm{C} & \mathrm{C}) ~ & 75^{\circ} \mathrm{C}\end{array} \) (D) \( 100^{\circ} \mathrm{C} \) \( \begin{array}{l}\text { Explain why: }\end{array} \)

Ask by Allan Barnett. in the United States
Mar 17,2025

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The reaction will occur at the greatest rate at \(100^{\circ} \mathrm{C}\) because higher temperatures increase the kinetic energy of molecules, leading to more frequent and effective collisions that overcome the activation energy barrier.

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Beyond the Answer

In chemical reactions, increasing the temperature generally increases the reaction rate because the particles have more kinetic energy, leading to more frequent and forceful collisions. For the given reaction \( \mathrm{Mg}+2 \mathrm{H}_{2} \mathrm{O} \rightarrow \mathrm{Mg}(\mathrm{OH})_{2}+\mathrm{H}_{2} \), the ideal temperature where this would occur at the greatest rate would likely be \( 100^{\circ} \mathrm{C} \). At this temperature, not only do you ensure that the magnesium fully reacts with the water, but you also get a good balance of the gas evolution and solubility of products. However, it's important to note that at extremely high temperatures, the system may reach a point where some reactants may start to decompose or the reaction may shift to fewer products due to temperature effects on the equilibrium. Therefore, while \( 100^{\circ} \mathrm{C} \) enhances kinetic energy, one must be cautious about excessive temperatures affecting the overall reaction dynamics.

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