- Identify the ions: ammonium (\(NH_4^+\)) with a charge of \(+1\) and carbonate (\(CO_3^{2-}\)) with a charge of \(-2\).
- Apply the rule of neutrality: the total positive and negative charges must balance to zero.
- Calculate the ion ratio: two ammonium ions (\(+2\)) are needed to balance one carbonate ion (\(-2\)).
- Select the correct formula: the result is \((NH_4)_2CO_3\).
- Final Answer: \(\boxed{(NH_4)_2CO_3}\)
Explanation
- Identifying the Ions and Their Charges
The goal is to determine the correct chemical formula for ammonium carbonate. First, we identify the ions involved in the compound: the ammonium ion (\(NH_4^+\)) and the carbonate ion (\(CO_3^{2-}\)). An ammonium ion carries a single positive charge (+1), while a carbonate ion carries a double negative charge (-2).
- Applying Chemical Neutrality
Chemical compounds must be electrically neutral, meaning the total positive charge must equal the total negative charge. We check the charge balance: one \(NH_4^+\) ion has a +1 charge and one \(CO_3^{2-}\) ion has a -2 charge. To achieve neutrality, the total positive charge must offset the -2 charge from the carbonate ion. Thus, we need two ammonium ions: \(2 \times (+1) = +2\). The overall charge becomes \(+2 + (-2) = 0\), confirming neutrality.
- Forming the Chemical Formula
Since we require two ammonium ions (\(NH_4^+\)) for every one carbonate ion (\(CO_3^{2-}\)), we indicate the count of the ammonium polyatomic group using parentheses with a subscript of 2. The formula for the carbonate ion is \(CO_3\). Combining these, the complete formula is \((NH_4)_2CO_3\). Comparing this to the given options, the third option matches this result.
Examples
Understanding chemical formulas is essential in many fields, such as pharmacology and environmental science. For instance, chemists often use ammonium carbonate as a leavening agent in baking or in specific pharmaceutical preparations. Knowing the correct stoichiometric ratio ensures that the substances are mixed correctly for safety and efficiency, as improper ratios could lead to unintended chemical reactions or ineffective products. Correctly identifying formulas is a fundamental skill for anyone working in laboratory settings to ensure accurate experiment execution and material handling.