Question

What volume of a 1.00 m stock solution of glucose must be used to make 500.0 ml of a 1.75 ✕ 10–2 m glucose solution in water? (a) 1.75 ml, (b) 8.75 ml, (c) 48.6 ml, (d) 57.1 ml, (e) 28,570 ml?

Answer 1

`\frac{500ml}{} (1l)/(1000 \: ml) (1.75x10 ^( - 2) m)/(1 l) (1l)/(1m) \: = 8.75ml`

Of Glucose Stock Solution

Answer 2

Answer : The correct option is, (b) 8.75 ml

Solution :

According to the dilution law,

`M_1V_1=M_2V_2`

where,

`M_1` = molarity of stock solution = 1.00 M

`V_1` = volume of stock solution = ?

`M_2` = molarity of glucose solution =
`1.75* 10^(-2)M`

`V_2` = volume of glucose solution = 500 ml

Now put all the given values in the above law, we get the volume of stock solution.

`(1.00M)* V_1=(1.75* 10^(-2)M)* (500ml)`

`V_1=8.75ml`

Therefore, the volume of 1.00 M stock solution required volume is, 8.75 ml