If you wanted to dilute the 3M NaOH solution to 500mL of 1M NaOH solution, how much L of the 3M NaOH solution would you need?

Question

asked Sep 6, 2023 139k views

1 Answer

Dharmendra Barad · Answer 1 · 2023-09-10T12:19:59+0000

0.167L

In order to know how much L of the 3M NaOH solution would you need, we will simply set up an equal proportion solution expressed as;

C1 and C2 are the concentration of the solutions

V1 and V2 are the volumes of the solutions

Given the following parameters;

C1 = 1M

V1 = 500mL

C2 = 3M

V2 = ?

Substitute the given parameters into the formula above to get the required litre of solution needed.

$\begin{gathered} 1*500=3* V_2_{} \\ 500=3V_2 \\ \text{Swap} \\ 3V_2=500 \end{gathered}$

Divide both sides by 3:

$\begin{gathered} (3V_2)/(3)=(500)/(3)_{} \\ V_2=166.67mL \end{gathered}$

Converting to litres

Since 1mL = 0.001L

166.67mL = x

Cross multiply

$\begin{gathered} 1* x=166.67*0.001 \\ x=0.167L \end{gathered}$

Hence the amount of L of the 3M NaOH solution would you need is 0.167L