Question

Predict the product(s) and write a balanced equation for each of the following redox reactions: (a) \(\operatorname{Sr}(s)+\operatorname{Br}_{2}(l) \longrightarrow\) (b) \(\mathrm{Ag}_{2} \mathrm{O}(s) \stackrel{\Delta}{\longrightarrow}\) (c) \(\operatorname{Mn}(s)+\mathrm{Cu}\left(\mathrm{NO}_{3}\right)_{2}(a q) \longrightarrow\)

Short answer

(a) Sr(s) + Br\(_2\)(l) \rightarrow SrBr\(_2\)(s), (b) 2Ag\(_2\)O(s) \rightarrow 4Ag(s) + O\(_2\)(g), (c) Mn(s) + Cu(NO\(_3\))\(_2\)(aq) \rightarrow Mn(NO\(_3\))\(_2\)(aq) + Cu(s)

Step-by-step solution

Identify the reactants

Look at the given reactants for each part of the question: (a) \(\text{Sr(s)} \ \text{and Br}_2(l)\), (b) \(\text{Ag}_2O(s)\), and (c) \(\text{Mn(s) and Cu(NO}_3)_2(aq)\).

Determine the oxidation states

Identify the oxidation states of each element in the reactants: (a) Sr: 0, Br: 0, (b) Ag: +1, O: -2, (c) Mn: 0, Cu: +2, NO\(_3^-\): -1.

Predict the products

Using your knowledge of redox reactions, predict the products: (a) Sr reacts with Br\(_2\) to form SrBr\(_2\), (b) Ag\(_2\)O decomposes into Ag and O\(_2\), (c) Mn displaces Cu from Cu(NO\(_3\))\(_2\) to form Mn(NO\(_3\))\(_2\) and Cu.

Balance the equations

Ensure the number of atoms of each element is the same on both sides of the equation: (a) \(\operatorname{Sr}(s) + \operatorname{Br}_{2}(l) \longrightarrow \operatorname{SrBr}_{2}(s)\), (b) \(2 \mathrm{Ag}_2 \mathrm{O}(s) \stackrel{\Delta}{\longrightarrow} 4 \mathrm{Ag}(s) + \mathrm{O_2}(g)\), (c) \(\operatorname{Mn}(s) + \mathrm{Cu}(\mathrm{NO}_{3})_{2} (aq) \longrightarrow \operatorname{Mn}(\mathrm{NO}_{3})_{2}(aq) + \mathrm{Cu}(s)\).

Key concepts

Redox Reactions

Redox reactions, short for reduction-oxidation reactions, are chemical processes where the oxidation states of atoms are changed. These reactions involve the transfer of electrons between species and consist of two half-reactions: one for oxidation and one for reduction.
Oxidation refers to the loss of electrons by a molecule, atom, or ion, while reduction denotes the gain of electrons.
An example redox reaction can be seen in \[\text{(a)} \ \operatorname{Sr}(s)+\operatorname{Br}_2(l) \longrightarrow \operatorname{SrBr}_2(s)\]. Here, strontium (Sr) loses electrons (is oxidized), and bromine (Br) gains electrons (is reduced).
Recognizing redox reactions is essential because they play a crucial role in various chemical processes, including respiration, combustion, and corrosion.

Oxidation States

Oxidation states (or oxidation numbers) help us keep track of electron transfer in redox reactions. An element's oxidation state is a hypothetical charge it would have if all bonds to other atoms were 100% ionic.
The oxidation state of an atom in its elemental form is always 0. For example, \[\operatorname{Sr}(s) \text{ and } \operatorname{Br}_2(l)\] both have oxidation states of 0.
When dealing with compounds, other rules help determine oxidation states:

• The oxidation state of oxygen is usually -2.
• The oxidation state of hydrogen is typically +1.
• For ions, the oxidation state is equal to the charge of the ion.

In the reaction \[\text{(c)} \ \operatorname{Mn}(s)+\mathrm{Cu} \left(\mathrm{NO}_3\right)_2(aq) \longrightarrow \operatorname{Mn}(\mathrm{NO}_3)_2(aq) + \mathrm{Cu}(s)\], manganese (Mn) starts at an oxidation state of 0 and changes to +2. Copper goes from +2 to 0.

Balancing Chemical Equations

Balancing chemical equations ensures that there are equal numbers of each type of atom on both sides of the equation. This is important because the law of conservation of mass states that matter cannot be created or destroyed in a chemical reaction.
To balance an equation, follow these steps:

• Write the unbalanced equation with correct formulas for all reactants and products.
• Count the number of atoms of each element in the reactants and products.
• Adjust the coefficients (the numbers before molecules) to balance each element one at a time.
• Check your work to ensure the equation is balanced.

For example, in \[\text{(b)} \ \mathrm{Ag}_2\mathrm{O}(s) \stackrel{\Delta}{\longrightarrow} 4\mathrm{Ag}(s) + \mathrm{O}_2(g)\], start with the unbalanced equation \[\mathrm{Ag}_2\mathrm{O}(s) \longrightarrow \mathrm{Ag}(s) + \mathrm{O}_2(g)\], then balance silver (Ag) and oxygen (O) until both sides have equal numbers of each atom.

Chemical Reactants and Products

In a chemical reaction, reactants are the starting materials, and products are the substances formed as a result of the reaction.
For example, in the reaction \[\text{(a)} \ \operatorname{Sr}(s)+\operatorname{Br}_2(l) \longrightarrow \operatorname{SrBr}_2(s)\], strontium (Sr) and bromine (Br\(_2\)) are the reactants, and strontium bromide (SrBr\(_2\)) is the product.
Knowing the reactants and products allows us to predict the chemical changes that occur during the reaction. This prediction is crucial for understanding the chemical behavior of substances and for practical applications such as developing new materials or synthesizing chemicals.
Always remember to write reactants on the left side and products on the right side of the equation, separated by an arrow (\