Question

1. what volume of 12.0 m hcl solution needs to be diluted to produce 500.0 ml of 3. m hcl solution?

a. 0.125 l
b. 0.250 l
c. 0.500 l
d. 2.00 l
e. 1.00 l

Explanation:

Step1: Use the dilution formula

The dilution formula is \(C_1V_1 = C_2V_2\), where \(C_1\) is the initial concentration, \(V_1\) is the initial volume, \(C_2\) is the final concentration, and \(V_2\) is the final volume.
Given \(C_1 = 12.0\space M\), \(C_2=3.0\space M\), \(V_2 = 500.0\space mL = 0.500\space L\).
We need to find \(V_1\).

Step2: Rearrange the formula to solve for \(V_1\)

From \(C_1V_1 = C_2V_2\), we get \(V_1=\frac{C_2V_2}{C_1}\).
Substitute the values: \(V_1=\frac{3.0\space M\times0.500\space L}{12.0\space M}\).

Step3: Calculate \(V_1\)

\(V_1=\frac{3.0\times0.500}{12.0}\space L=\frac{1.5}{12.0}\space L = 0.125\space L\).

Answer:

A. \(0.125\space L\)