How much of a 1M glucose solution (measured in ml) and how much distilled water would you mix to make 1 liter of .5M glucose?

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This is a dilution problem wherein we are looking how much volume of the stock solution we need to dilute. We have:

`M_1V_1 = M_2V_2`

`M_1` = 1 M

`V_1` = ?

`M_2` = 0.5 M

`V_2` = 1 L

`M_1V_1 = M_2V_2`

`(1)*V_1 = (0.5)*(1)`

`V_1 = ((0.5)*(1))/1`

`V_1 = 0.5 L * (1000mL)/(1L)` = **500mL volume of 1M glucose solution***

Total volume = volume of sample + volume of diluent

1 L = 0.5 L + volume of diluent

Volume of diluent = 1 - 0.5 = 0.5 L = **500mL of distilled water is needed to dilute the solution.**

*1000mL = 1L

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