Question

Balance each of the following chemical equations:

$$\begin{gathered} \text{a.}\mathrm{Ca}\left(s\right)+{\mathrm{Br}}_2\left(l\right)⟶{\mathrm{CaBr}}_2\left(s\right) \\ \text{b.}{\mathrm{P}}_4\left(s\right)+{\mathrm{O}}_2\left(g\right)⟶{\mathrm{P}}_4{\mathrm{O}}_{10}\left(s\right) \\ \text{c.}{\mathrm{Sb}}_2{\mathrm{S}}_3\left(s\right)+\mathrm{HCl}\left(aq\right)⟶{\mathrm{SbCl}}_3\left(aq\right)+{\mathrm{H}}_2\mathrm{S}\left(g\right) \\ \text{d.}{\mathrm{Fe}}_2{\mathrm{O}}_3\left(s\right)+\mathrm{C}\left(s\right)⟶\mathrm{Fe}\left(s\right)+\mathrm{CO}\left(g\right) \end{gathered}$$

Short answer

The balanced equations for the above question are:

$$\begin{gathered} \text{a.}\mathrm{Ca}\left(s\right)+{\mathrm{Br}}_2\left(l\right)⟶{\mathrm{CaBr}}_2\left(s\right) \\ \text{b.}{\mathrm{P}}_4\left(s\right)+5{\mathrm{O}}_2\left(g\right)⟶{\mathrm{P}}_4{\mathrm{O}}_{10}\left(s\right) \\ \text{c.}{\mathrm{Sb}}_2{\mathrm{S}}_3\left(s\right)+6\mathrm{HCl}\left(aq\right)⟶2{\mathrm{SbCl}}_3\left(aq\right)+3{\mathrm{H}}_2\mathrm{S}\left(g\right) \\ \text{d.}{\mathrm{Fe}}_2{\mathrm{O}}_3\left(s\right)+3\mathrm{C}\left(s\right)⟶2\mathrm{Fe}\left(s\right)+3\mathrm{CO}\left(g\right) \end{gathered}$$

Step-by-step solution

Part (a) Step 1: Given information

We have been given an equation.$\mathrm{Ca}\left(s\right)+{\mathrm{Br}}_2\left(l\right)⟶{\mathrm{CaBr}}_2\left(s\right)$

Part (a) Step 2: Simplify

To balance the equation, follow the steps below.

• Calculate the number of distinct types of atoms in the reactants and products.
• Increase the amount of atoms or molecules in the substances by putting coefficients in front of symbols or formulas as needed.
• Repeat steps one and two until the equation is balanced.

We acquire results by repeating these actions.

$\mathrm{Ca}\left(s\right)+{\mathrm{Br}}_2\left(l\right)⟶{\mathrm{CaBr}}_2\left(s\right)$

Part (b) Step 1: Given information:

We have been given an equation.${\mathrm{P}}_4\left(s\right)+{\mathrm{O}}_2\left(g\right)⟶{\mathrm{P}}_4{\mathrm{O}}_{10}\left(s\right)$

Part (b) Step 2: Simplify

To balance the equation, follow the steps below.

• Calculate the number of distinct types of atoms in the reactants and products.
• Increase the amount of atoms or molecules in the substances by putting coefficients in front of symbols or formulas as needed.
• Repeat steps one and two until the equation is balanced.

We acquire results by repeating these actions.

${\mathrm{P}}_4\left(s\right)+5{\mathrm{O}}_2\left(g\right)⟶{\mathrm{P}}_4{\mathrm{O}}_{10}\left(s\right)$

Part (c) Step 1: Given information:

We have been given an equation.${\mathrm{Sb}}_2{\mathrm{S}}_3\left(s\right)+\mathrm{HCl}\left(aq\right)⟶{\mathrm{SbCl}}_3\left(aq\right)+{\mathrm{H}}_2\mathrm{S}\left(g\right)$

Part (c) Step 2: Simplify

To balance the equation, follow the steps below.

• Calculate the number of distinct types of atoms in the reactants and products.
• Increase the amount of atoms or molecules in the substances by putting coefficients in front of symbols or formulas as needed.
• Repeat steps one and two until the equation is balanced.

We acquire results by repeating these actions.

${\mathrm{Sb}}_2{\mathrm{S}}_3\left(s\right)+6\mathrm{HCl}\left(aq\right)⟶2{\mathrm{SbCl}}_3\left(aq\right)+3{\mathrm{H}}_2\mathrm{S}\left(g\right)$

Part (d) Step 1: Given information

We have been given an equation.${\mathrm{Fe}}_2{\mathrm{O}}_3\left(s\right)+\mathrm{C}\left(s\right)⟶\mathrm{Fe}\left(s\right)+\mathrm{CO}\left(g\right)$

Part (d) Step 2: Simplify 

To balance the equation, follow the steps below.

• Calculate the number of distinct types of atoms in the reactants and products.
• Increase the amount of atoms or molecules in the substances by putting coefficients in front of symbols or formulas as needed.
• Repeat steps one and two until the equation is balanced.

We acquire results by repeating these actions.

${\mathrm{Fe}}_2{\mathrm{O}}_3\left(s\right)+3\mathrm{C}\left(s\right)⟶2\mathrm{Fe}\left(s\right)+3\mathrm{CO}\left(g\right)$