Answer:
Take 10.0mL of your original solution and dilute it to 100.0mL and then, take 5.0mL of this solution and dilute it in another flask to 100.0mL
Explanation:
The initial solution of 0.3g of Red dye in 100mL has a concentration of:
0.3g Red dye × (1mol / 869g) = 3.4x10⁻⁴ mol Red Dye in 100mL = 0.100L:
3.4x10⁻⁴ mol / 0.1L = 3.4x10⁻³M
As you want a 1.7x10⁻⁵M solution, you need to dilute your solution:
3.4x10⁻³M / 1.7x10⁻⁵M = 200 times
Having this in mind, you must find the dilutions you must make to achieve the 200 of dilution factor (<em>Dilution factor is how many times you dilute a solution from a concetrated form).</em>
If you dilute the original solution taking 10.0mL to 100.0mL you dilute the solution: 100.0mL / 10.0mL = <em>10 times.</em>
Now, you need to dilute this solution another 20 times to achieve the 10*20 = 200 times of dilution.
If you take 5.0mL of the last solution and dilute it to 100.0mL you are diluting the solution 100.0mL / 5.0mL = <em>20 times.</em>
The dilution is:
3.4x10⁻³M × (10.0mL / 100.0mL) × (5.0mL / 100.0mL) = 1.7x10⁻⁵M
Thus, to obtain the 1.7x10⁻⁵M solutionyou need to:
<h3>Take 10.0mL of your original solution and dilute it to 100.0mL and then, take 5.0mL of this solution and dilute it in another flask to 100.0mL</h3>