Answer:
[tex]0.05\ \text{M HCl}[/tex]
Explanation:
[tex]V_1[/tex] = Initial volume = 100 mL
[tex]V_2[/tex] = Final volume = 1000 mL
[tex]M_1[/tex] = Initial concentration = 0.5 M
[tex]M_2[/tex] = Final concentration
We have the relation
[tex]\dfrac{M_1}{M_2}=\dfrac{V_2}{V_1}\\\Rightarrow M_2=M_1\dfrac{V_1}{V_2}\\\Rightarrow M_2=0.5\times \dfrac{100}{1000}\\\Rightarrow M_2=0.05\ \text{M HCl}[/tex]
The new concentration is [tex]0.05\ \text{M HCl}[/tex].
