Question

If 100 ml of a 0.5 M HCI Solution is diluted with water to 1000ml, what is the new concetration?

Answer 1

`0.05\ \text{M HCl}`

Step-by-step explanation:

`V_1` = Initial volume = 100 mL

`V_2` = Final volume = 1000 mL

`M_1` = Initial concentration = 0.5 M

`M_2` = Final concentration

We have the relation

`(M_1)/(M_2)=(V_2)/(V_1)\\\Rightarrow M_2=M_1(V_1)/(V_2)\\\Rightarrow M_2=0.5* (100)/(1000)\\\Rightarrow M_2=0.05\ \text{M HCl}`

The new concentration is
`0.05\ \text{M HCl}`.