calculate the mass ratio of 25% cacl2 solution and water to prepare 500 g of a 5% salt solution
To calculate the mass ratio of a 25% CaCl2 solution and water in order to prepare a 500 g 5% salt solution, we need to determine how much CaCl2 and water is needed.
Let's break down the problem step by step:
1. Calculate the total amount of salt needed for the 5% solution.
Mass of salt = 5% of 500 g = 0.05 * 500 g = 25 g
2. Determine the amount of CaCl2 needed.
The 25% CaCl2 solution means that we have 25 g of CaCl2 in 100 g of the solution.
Therefore, to have 25 g of CaCl2 in the final solution, we need to calculate the amount of 25% CaCl2 solution needed as follows:
Mass of CaCl2 solution = (Mass of CaCl2 / % of CaCl2) * 100
Mass of CaCl2 solution = (25 g / 25%) * 100 = 100 g
3. Calculate the amount of water needed.
To find the mass of water, subtract the mass of CaCl2 solution from the total desired mass of 500 g.
Mass of water = Total desired mass - Mass of CaCl2 solution
Mass of water = 500 g - 100 g = 400 g
Finally, the mass ratio of the 25% CaCl2 solution to water is 100 g of CaCl2 solution to 400 g of water, which can be simplified to 1:4.
So, to prepare a 500 g 5% salt solution, you would mix 100 g of 25% CaCl2 solution with 400 g of water.