0.75 volume (ml) of the sweetened tea described in example 3.14 contains the same amount of sugar (mol) as 10 ml of the soft drink in this example
It is given that the concentration of sugar in a soft drink is 0.375M It means 1L of soft drinks contains 0.375mol of sugar. Then,
1000mL = 0.375mol
1mL =0.375/1000
For 10ml
= 0.375 x 10^-3 x 10
= 0.00375mol sugar
Now, the concentration of sugar in sweetened tea is 0.05M.
This means 12 L solution (tea) contains 0.05mol of sugar.
Now, we need to find the volume of sweetened tea that has the same mass of sugar that is present in 10ml of soft drink
So, the required amount of sugar is 0.05 mol
0.05mol sugar = 1000ml (tea)
1 mol sugar = 1000/0.05 (tea)
So,
0.00375 mol sugar = (1000x 0.00375)/0.05
= 75.0 mL (tea)
The volume of tea required is 0.75ml
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