Question

You need 520. mL of a 10. % (m/v) glucose solution. If you have a 25% (m/v) glucose solution on hand, how many milliliters do you need

Answer 1

The answer is "208 mL".

Step-by-step explanation:

`C_1 = 25\% \ (m)/(v)\\\\C2 = 10\% \ (m)/(v)\\ \\V_1= 520\ \ mL\\\\V_2=?`

In dilutions of different concentration, its initial volume for glucose solution V1 can be obtained by using the following formula, i.e.

`\to C_1V_1 = C_2V_2\\\\\to V_1 = (C_2V_2)/(C_1) \\\\= (10 * 520 )/( 25)\\\\ = 208 \ mL`

The solution of 520 mL
`10\%\ \ ((m)/(v))` final glucose solution thus requires 208 mL of glucose solution of
`25\%\ \ ((m)/(v))`.