Solve the problem.
-Chandra has 3 liters of a 24% solution of sodium hydroxide in a container. What is the amount and concentration of sodium hydroxide solution she must add to this in order to end up with 8 liters of 54%
Solution?
A)5 liters of 75% solution
B)5 liters of 70% solution
C)5 liters of 73% solution
D)5 liters of 72% solution

Question

Quizplus · Accepted Answer

To solve this problem, we can use the formula:

(amount of sodium hydroxide in final solution) = (amount of sodium hydroxide in initial solution) + (amount of sodium hydroxide added)

Let's first find the amount of sodium hydroxide in the initial solution:

3 liters * 0.24 = 0.72 liters

Next, let's find the amount of sodium hydroxide we need in the final solution:

8 liters * 0.54 = 4.32 liters

Now we can set up the equation:

4.32 = 0.72 + (amount of sodium hydroxide added)

Simplifying, we get:

amount of sodium hydroxide added = 3.6 liters

Finally, we need to find the concentration of the sodium hydroxide solution we need to add. We can use the formula:

(concentration of final solution) = (amount of sodium hydroxide in initial solution + amount of sodium hydroxide added) / (total volume of final solution)

Plugging in the values we have, we get:

(concentration of final solution) = (0.72 + 3.6) / 8 = 0.54

This means we need to add a 5 liter solution that is 72% sodium hydroxide (since 0.72 is 72% of the 1 liter of sodium hydroxide in the solution). Therefore, the answer is D.

Solve the Problem. -Chandra Has 3 Liters of a 24% Solution of Sodium