Mixing Solutions Concentration Calculator
Find the concentration when two salt solutions are mixed. A classic word problem solver that works from total salt and total weight, with steps.
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Input
Find the concentration when two salt solutions of different strengths are mixed. Enter the weight in grams and concentration in percent for each solution.
Solution 1
Solution 2
To add pure water, enter it as a solution with 0 percent concentration.
Result
Mixed concentration
5%
Total salt
25 g
Total weight
500 g
Step-by-step solution
Salt in solution 1 = 200 g × 8% ÷ 100 = 16 g
Salt in solution 2 = 300 g × 3% ÷ 100 = 9 g
Total salt = 16 g + 9 g = 25 g
Total weight = 200 g + 300 g = 500 g
Mixed concentration = 25 g ÷ 500 g × 100 = 5%
Concentration equals total salt divided by total weight, times 100. The key idea is that both the salt and the total weight simply add up when solutions are mixed.
How it works
- The amount of salt in a solution is its weight times its concentration divided by 100. For example, 200 g of an 8 percent solution contains 16 g of salt.
- When two solutions are mixed, the salt and the total weight each add together. The mixed concentration equals total salt divided by total weight, times 100.
- Enter each weight in grams and each concentration in percent. Concentration must be between 0 and 100, and the total weight must be greater than 0.
- Set one weight to 0 to check a single solution, or enter a 0 percent solution to model adding pure water.
Frequently asked questions
- How is the concentration after mixing calculated?
- For each solution the salt is amount × concentration ÷ 100, and mixing adds both the salt and the total weight together. The final concentration is total salt ÷ combined weight × 100.
- How do I find the amount of salt in a solution?
- Salt equals the solution's weight × its concentration ÷ 100. For example, 200 g of an 8% solution contains 200 × 8 ÷ 100 = 16 g of salt.
- How do I handle adding water or checking a single solution?
- Enter added water as a 0% solution. If you set one side's weight to 0, the tool simply reports the concentration of the remaining solution on its own.
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