chandra has 3 liters of a 28% solution of sodium hydroxide in a container. What is the amount and concentration of sodium peroxide solution she must add to this in order to end up with 7 liters of 48% solution?
Why would she add sodium peroxide to sodium hydroxide? That would be dangerous..
and besides, a 48% solution of what?
To determine the amount and concentration of the sodium peroxide solution Chandra must add, we need to consider the following:
1. Total volume of the final solution: Chandra wants to end up with 7 liters of a 48% solution.
2. Initial volume and concentration of the sodium hydroxide solution: Chandra has 3 liters of a 28% sodium hydroxide solution.
3. Concentration of the sodium peroxide solution to be added: We need to find the concentration needed to achieve the desired final concentration.
To start, let's calculate the amount of sodium hydroxide in the initial solution:
Amount of sodium hydroxide = Volume of solution * Concentration
Amount of sodium hydroxide in the initial solution = 3 liters * 0.28 = 0.84 liters
Next, let's find the amount of sodium hydroxide we need in the final solution:
Amount of sodium hydroxide in the final solution = Total volume of solution * Desired concentration
Amount of sodium hydroxide in the final solution = 7 liters * 0.48 = 3.36 liters
To find the amount of sodium peroxide solution Chandra needs to add, we subtract the amount of sodium hydroxide in the initial solution from the amount in the final solution:
Amount of sodium peroxide solution to add = Amount of sodium hydroxide in the final solution - Amount of sodium hydroxide in the initial solution
Amount of sodium peroxide solution to add = 3.36 liters - 0.84 liters = 2.52 liters
Finally, let's determine the concentration of the sodium peroxide solution to add:
Concentration of sodium peroxide solution = Amount of sodium hydroxide in the final solution / Total volume of solution
Concentration of sodium peroxide solution = 2.52 liters / 7 liters = 0.36
Therefore, Chandra should add 2.52 liters of a 0.36% sodium peroxide solution to end up with 7 liters of a 48% sodium hydroxide solution.