a chemist has a supply of cuso4 solution that contains 230 gram per litre of water. she wishes to make a copper sulphate solution that has a solution of 200.0 grams per litre gow ,uch of her copper sulphate solution should she use and how much water should be added to make exactly 2 litres of the weaker copper solution?
Use c1v1=c2v2
c1=230 g/L
c2=200 g/L
v2=2 L
Solve for v1.
Water to be added equals v2 - v1=2L - v1
To solve this problem, we need to determine how much of the 230 g/L copper sulfate solution should be used and how much water should be added in order to obtain a 200 g/L copper sulfate solution.
Let's break down the problem into steps:
Step 1: Calculate the amount of copper sulfate needed in the final solution.
The final solution concentration we want is 200 g/L. Since we are making 2 liters of the solution, we need a total of 200 g/L * 2 L = 400 grams of copper sulfate.
Step 2: Determine the concentration of the available copper sulfate solution.
The given copper sulfate solution has a concentration of 230 g/L.
Step 3: Calculate the volume of the concentrated copper sulfate solution needed.
To find the volume of the concentrated copper sulfate solution needed, use the formula:
Volume = (Amount of copper sulfate needed) / (Concentration of the copper sulfate solution)
Volume = 400 g / (230 g/L)
Volume ≈ 1.739 L
Therefore, approximately 1.739 liters of the concentrated copper sulfate solution should be used.
Step 4: Calculate the amount of water needed.
To find the amount of water needed, subtract the volume of the concentrated copper sulfate solution from the total volume of the final solution:
Water volume = Total volume - Volume of copper sulfate solution
Water volume = 2 L - 1.739 L
Water volume ≈ 0.261 L
Approximately 0.261 liters of water should be added.
In summary, the chemist should use approximately 1.739 liters of the 230 g/L copper sulfate solution and add approximately 0.261 liters of water to make exactly 2 litres of the weaker copper sulfate solution with a concentration of 200 g/L.