Question

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?

Answer 1

0.167L

Step-by-step explanation:

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;

`C_1V_1=C_2V_2`

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