For each of these pairs of reaction conditions, indicate which has the faster rate of formation of hydrogen gas: (a) sodium or potassium with water, (b) magnesium or iron with \(1.0 \mathrm{M} \mathrm{HCl}\), (c) magnesium rod or magnesium powder with \(1.0 \mathrm{M} \mathrm{HCl}\), (d) magnesium with \(0.10 M \mathrm{HCl}\) or magnesium with \(1.0 \mathrm{M} \mathrm{HCl}\).

Short Answer

Expert verified
The conditions with the faster rate of formation of hydrogen gas would be (a) potassium with water, (b) magnesium with \(1.0 \mathrm {M} \mathrm {HCl}\), (c) magnesium powder with \(1.0 \mathrm {M} \mathrm {HCl}\), and (d) magnesium with \(1.0 \mathrm {M} \mathrm {HCl}\).

Step by step solution

01

Reactivity of Elements

In the reactivity series, potassium is more reactive than sodium, magnesium is more reactive than iron, and all are more reactive than hydrogen. Therefore, potassium will react more quickly than sodium with water, and magnesium will react more quickly than iron with \(1.0 \mathrm {M} \mathrm{HCl}\).
02

Role of Surface Area

The rate of a reaction increases with an increase in surface area, because more surface area means more space for collisions to occur between reacting particles. Therefore, magnesium powder will react more quickly than a magnesium rod with \(1.0 \mathrm {M} \mathrm {HCl}\), as the powder has a greater surface area compared to the rod.
03

Role of Concentration

The rate of a reaction increases with an increase in concentration of the reactants, because a higher concentration means more particles in the same volume, leading to more collisions. Therefore, magnesium is expected to react more quickly with \(1.0 \mathrm {M} \mathrm {HCl}\) than with \(0.1 \mathrm {M} \mathrm {HCl}\).

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