Answer:
There is 17,114825 g of powdered drink mix needed
Explanation:
<u>Step 1 :</u> Calculate moles
As given, the concentration of the drink is 0.5 M, this means 0.5 mol / L
Since the volume is 100mL, we have to convert the concentration,
⇒0.5 / 1   =  x /0.1    ⇒ 0.5* 0.1  = x = 0.05 M 
This means there is 0.05 mol per 100mL
e
<u>Step 2 </u>: calculate mass of the powdered drink
here we use the formula n (mole) = m(mass) / M (Molar mass)
⇒ since powdered drink mix is usually made of sucrose (C12H22O11) and has a molar mass of 342.2965 g/mol.
0.05 mol = mass / 342.2965 g/mol
To find the mass, we isolate it ⇒0.05 mol * 342.2965 g/mol = 17,114825g
There is 17,114825 g of powdered drink mix needed