Math

QuestionWhich factors yield the fastest reaction rate: A. 1.0MHCl1.0 \mathrm{M} \mathrm{HCl} at 35C35^{\circ} \mathrm{C} with Zn\mathrm{Zn}, B. 0.5MHCl0.5 \mathrm{M} \mathrm{HCl} at 15C15^{\circ} \mathrm{C} with Zn\mathrm{Zn}, or C. 0.5MHCl0.5 \mathrm{M} \mathrm{HCl} at 25C25^{\circ} \mathrm{C} with Zn\mathrm{Zn} foil?

Studdy Solution

STEP 1

Assumptions1. The reaction rate is influenced by the concentration of the reactants, the temperature, and the physical state of the reactants. . Higher concentrations of reactants, higher temperatures, and smaller particle sizes (which increase the surface area) generally result in faster reaction rates.

STEP 2

Let's first compare the concentration of the reactants in each option.A. 1.0MHCl1.0 \mathrm{M} \mathrm{HCl} B. 0.5MHCl0.5 \mathrm{M} \mathrm{HCl} C. 0.5MHCl0.5 \mathrm{M} \mathrm{HCl}

STEP 3

From the comparison in2, we can see that option A has the highest concentration of HCl. Higher concentrations of reactants generally result in faster reaction rates.

STEP 4

Next, let's compare the temperature in each option.
A. 35C35^{\circ} \mathrm{C} B. 15C15^{\circ} \mathrm{C} C. 25C25^{\circ} \mathrm{C}

STEP 5

From the comparison in4, we can see that option A has the highest temperature. Higher temperatures generally result in faster reaction rates.

STEP 6

Finally, let's compare the physical state of the reactants in each option.
A. Zn\mathrm{Zn} powderB. Zn\mathrm{Zn} powderC. Zn\mathrm{Zn} foil

STEP 7

From the comparison in6, we can see that options A and B use zinc powder, while option C uses zinc foil. Smaller particle sizes, such as those found in a powder, increase the surface area and generally result in faster reaction rates.

STEP 8

By comparing the concentration of the reactants, the temperature, and the physical state of the reactants in each option, we can conclude that option A will result in the fastest reaction rate.
The combination of factors that will result in the fastest reaction rate is 1.0MHCl1.0 \mathrm{M} \mathrm{HCl} at 35C35^{\circ} \mathrm{C} with Zn\mathrm{Zn} powder.

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