A powder concentrate contains 2% w/w of active ingredient. What would be the percentage concentration (w/v) of the resultant solution after a 5-g packet of powder is dissolved in enough water to make 1 quart of solution?
To determine the percentage concentration (w/v) of the resultant solution, we need to calculate the weight of the active ingredient in the 5-g packet of powder and then divide it by the volume of the resultant solution (1 quart).
Step 1: Calculate the weight of the active ingredient in the 5-g packet of powder.
The powder concentrate contains 2% w/w of the active ingredient. So, 2% of 5 grams is:
(2/100) x 5 = 0.1 g
Step 2: Convert the volume of the resultant solution to liters.
1 quart is equal to approximately 0.9464 liters.
Step 3: Calculate the percentage concentration (w/v) of the resultant solution.
Divide the weight of the active ingredient (0.1 g) by the volume of the solution (0.9464 L), then multiply by 100 to convert it to a percentage:
(0.1 g / 0.9464 L) x 100 = 10.57%
Therefore, the percentage concentration (w/v) of the resultant solution after dissolving a 5-g packet of powder in enough water to make 1 quart of solution is approximately 10.57%.