Answer:
102.8 mL.
Step-by-step explanation:
From the question given above, the following data were obtained:
Molarity of stock solution (M1) = 10.7 M
Molarity of diluted solution (M2) = 0.2 M
Volume of diluted solution (V2) = 5.5 L
Volume of stock solution needed (V1) =.?
The volume of the stock solution needed can be obtained by using the following formula:
M1V1 = M2V2
10.7 × V2 = 0.2 × 5.5
10.7 × V2 = 1.1
Divide both side by 10.7
V2 = 1.1 / 10.7
V2 = 0.1028 L
Finally, we shall convert 0.1028 L to millilitres (mL) in order to obtain the desired result. This can be obtained as follow:
1 L = 1000 mL
Therefore,
0.1028 L = 0.1028 L × 1000 mL / 1 L
0.1028 L = 102.8 mL
Therefore, 0.1028 L is equivalent to 102.8 mL.
Thus, 102.8 mL of the stock solution (i.e perchloric acid) is needed.