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Chapter 4: Problem 15

The equation $\mathrm{Ag}^{+}(a q)+\mathrm{Cu}(s) \rightarrow \mathrm{Cu}^{2+}(a q)+\mathrm{Ag}(s)$ has equal numbers of each type of element on each side of the equation. This equation, however, is not balanced. Why is this equation not balanced? Balance the equation.

Short Answer

Expert verified
The given equation, \( \mathrm{Ag}^{+}(aq) + \mathrm{Cu}(s) \rightarrow \mathrm{Cu}^{2+}(aq) + \mathrm{Ag}(s) \), is not initially balanced because the coefficients for each element are not specified. However, upon inspection, it turns out that each side has one silver (Ag) and one copper (Cu) atom, so applying coefficients of 1 for each molecule balances the equation. The balanced equation is: \( \mathrm{Ag}^{+}(aq) + \mathrm{Cu}(s) \rightarrow \mathrm{Cu}^{2+}(aq) + \mathrm{Ag}(s) \).

Step by step solution

01

Identify the unbalanced elements in the equation

The given equation is: \[ \mathrm{Ag}^{+}(aq) + \mathrm{Cu}(s) \rightarrow \mathrm{Cu}^{2+}(aq) + \mathrm{Ag}(s) \] While it has the same number of types of elements on both sides of the equation, the coefficients for each of these elements are not specified. We will need to determine the appropriate coefficients to ensure the atoms for each element are equal on both sides of the reaction.
02

Balance each element

Let's balance the individual elements in the equation. 1. First, we will balance the silver (Ag) atoms: \[ \mathrm{Ag}^{+}(aq) + \mathrm{Cu}(s) \rightarrow \mathrm{Cu}^{2+}(aq) + \mathrm{Ag}(s) \] The silver atoms are already balanced on both sides, with one Ag on each side. 2. Now, we will balance the copper (Cu) atoms: \[ \mathrm{Ag}^{+}(aq) + \mathrm{Cu}(s) \rightarrow \mathrm{Cu}^{2+}(aq) + \mathrm{Ag}(s) \] The copper atoms are also balanced on each side, with one Cu on each side. By applying coefficients of 1 for each molecule, the equation is now balanced. Therefore, the balanced equation is:
03

Write the balanced equation

The balanced equation is: \[ \mathrm{Ag}^{+}(aq) + \mathrm{Cu}(s) \rightarrow \mathrm{Cu}^{2+}(aq) + \mathrm{Ag}(s) \]

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Most popular questions from this chapter

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