Answer
a. 200. mL
b. 1500 mL
c. $6.0 \times 10^2$ mL
d. 72 mL
Work Step by Step
1. Write the dilution expression, and solve for the final volume $(V_2)$
$C_1V_1 = C_2V_2$
$$\frac{C_1V_1}{C_2} = V_2$$
a.
2. Substitute the values and calculate the final volume:
$$V_2 = \frac{(10.0 \space mL)(20.0 \space \% (m/v))}{1.00 \space \% (m/v)}$$
$$V_2 = 200 \space mL$$
b.
2. Substitute the values and calculate the final volume:
$$V_2 = \frac{(25 \space mL)(6.0 \space M)}{0.10 \space M}$$
$$V_2 = 1500 \space mL$$
c.
2. Substitute the values and calculate the final volume:
$$V_2 = \frac{(50.0 \space mL)(12 \space M)}{1.0 \space M}$$
$$V_2 = 6.0 \times 10^2 \space mL$$
d.
2. Substitute the values and calculate the final volume:
$$V_2 = \frac{(18 \space mL)(4.0 \space \% (m/v))}{1.0 \space \% (m/v)}$$
$$V_2 = 72 \space mL$$
