In the equation c_1v_1 = c_2v_2, which variable represents the final concentration of the solution after dilution?

• A. c_1
• B. c_2
• C. v_1
• D. v_2

Answer: (B)

Verified step by step guidance

1. Understand that the equation \(c_1 v_1 = c_2 v_2\) is used to describe dilution, where a solution's concentration changes when its volume changes.
2. Identify each variable: \(c_1\) is the initial concentration, \(v_1\) is the initial volume, \(c_2\) is the final concentration after dilution, and \(v_2\) is the final volume after dilution.
3. Recognize that the product of concentration and volume before dilution (\(c_1 v_1\)) equals the product after dilution (\(c_2 v_2\)), because the amount of solute remains constant.
4. Since the question asks for the final concentration after dilution, the variable representing this is \(c_2\).
5. Therefore, \(c_2\) corresponds to the final concentration of the solution after dilution in the equation.