Answer
a. Final volume = 80. mL
b. Final volume = 250 mL
c. Final volume = 600. mL
d. Final volume = 180 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:
$$V_2 = \frac{(20.0 \space mL)(6.0 \space M)}{1.5 \space M}$$
$$V_2 = 80. \space mL$$
b.
2. Substitute the values and calculate the final volume:
$$V_2 = \frac{(50.0 \space mL)(10.0 \space \% (m/v))}{2.0 \space \% (m/v)}$$
$$V_2 = 250 \space mL$$
c.
2. Substitute the values and calculate the final volume:
$$V_2 = \frac{(50.0 \space mL)(6.00 \space M)}{0.500 \space M}$$
$$V_2 = 600. \space mL$$
d.
2. Substitute the values and calculate the final volume:
$$V_2 = \frac{(75 \space mL)(12 \space \% (m/v))}{5.0 \space \% (m/v)}$$
$$V_2 = 180 \space mL$$
