Question #8d3d7
1 Answer
Explanation:
The thing to remember about a dilution is that you can express the dilution factor as the ratio that exists between the volume of the diluted solution and the volume of the stock solution
#"DF" = V_"diluted"/V_"stock"#
and as the ratio that exists between the concentration of the stock solution and the concentration of the diluted solution.
#"DF" = c_"stock"/c_"diluted"#
This means that, for any dilution, you have
#"DF" = V_"diluted"/V_"stock" = c_"stock"/c_"diluted"#
In your case, the dilution factor is equal to
#"DF" = (6.00 color(red)(cancel(color(black)("M"))))/(1.00color(red)(cancel(color(black)("M")))) = color(blue)(6)#
This basically means that the concentration of the stock solution is
#"DF" = V_"diluted"/V_"stock" implies V_"diluted" = "DF" * V_"stock"#
This means that you have
#V_"diluted" = color(blue)(6) * "10.0 mL" = color(darkgreen)(ul(color(black)("60.0 mL")))#
The answer is rounded to three sig figs.