The initial concentration of solution is 0.0693 M. The volume of solution taken is 10 mL and it is diluted to a final volume of 500 mL.
According to dilution law, the product of initial concentration and volume is equal to the product of final concentration and volume as follows:
[tex]C_{1}V_{1}=C_{2}V_{2}[/tex]
Here, [tex]C_{1}[/tex] is initial concentration, [tex]C_{2}[/tex] is final concentration, [tex]V_{1}[/tex] is initial volume and [tex]V_{2}[/tex] is final volume.
Rearranging to calculate final concentration,
[tex]C_{2}=\frac{C_{1}\times V_{1}}{V_{2}}[/tex]
Putting the values,
[tex]C_{2}=\frac{0.0693 M\times 10 mL}{500 mL}=0.001386 M[/tex]
Therefore, concentration of the resulting solution is 0.001386 M.
