3. Alcohol Solution- A bottle contains 40 ml of alcohol mixed with 160 ml of water. Find the percent by volume of solute and solvent in the solution4. Juice Concentrate- A fruit juice is made by mixing 60 ml of concentrate with 240 ml of water. What is the percent by volume of the concentrate in the juice?
Answer (1)
3. [tex]\text{Total Volume} = 40 \, \text{ml} + 160 \, \text{ml} = 200 \, \text{ml}[/tex][tex] \text{Alcohol (solute)} = \frac{40}{200} \times 100 = 20% [/tex][tex] \text{Water (solvent)} = \frac{160}{200} \times 100 = 80\%[/tex]We first add the amount of alcohol and water to find the total solution volume (200 ml). Then, to find the percentage, we divide the volume of each component by the total volume and multiply by 100. The alcohol makes up 20% of the solution, while water makes up 80%.4. [tex]\text{Total Volume} = 60 \, \text{ml} + 240 \, \text{ml} = 300 \, \text{ml}[/tex][tex] \text{Concentrate} = \frac{60}{300} \times 100 = 20% [/tex]We combine the concentrate and water volumes to get the total juice volume (300 ml). The concentrate’s percentage is found by dividing its volume by the total and multiplying by 100. This means the juice is 20% concentrate and 80% water.
