Calculator Inputs
Choose a solving mode, enter known values, and calculate the missing mixture result.
Example Data Table
Sample mixture case: mix 20% and 80% solutions to create 100 liters of a 50% mixture.
| Parameter | Example Value | Meaning |
|---|---|---|
| Source 1 Concentration | 20% | Lower concentration solution. |
| Source 2 Concentration | 80% | Higher concentration solution. |
| Target Concentration | 50% | Desired final strength. |
| Total Amount | 100 liters | Total mixture to prepare. |
| Calculated Source 1 | 50 liters | Amount of 20% solution needed. |
| Calculated Source 2 | 50 liters | Amount of 80% solution needed. |
Formula Used
The calculator applies weighted-average mixture equations. It balances total amount and total pure component content at the same time.
1) Total balance: Q1 + Q2 = Qt
2) Component balance: (Q1 × C1) + (Q2 × C2) = Qt × Ct
3) Find both source amounts: Q1 = Qt × (C2 − Ct) ÷ (C2 − C1)
4) Then: Q2 = Qt − Q1
5) Final concentration from known amounts: Ct = ((Q1 × C1) + (Q2 × C2)) ÷ (Q1 + Q2)
Q means quantity, C means concentration, and t means target or total.
How to Use This Calculator
- Select the solving mode that matches your question.
- Enter source concentrations as percentages from 0 to 100.
- Choose one consistent unit, such as liters or kilograms.
- Fill the required known quantities for the selected mode.
- Set decimal places for cleaner or more precise output.
- Click Solve Mixture Problem to generate results.
- Review the result summary, table, and graph above the form.
- Export the solved values using CSV or PDF buttons.
FAQs
1) What types of mixture questions can this solve?
It can find both source amounts, compute final concentration from known amounts, or calculate the required amount of a second solution.
2) Must the target concentration be between the two sources?
Yes. For a two-source mixture, the final concentration must fall between the lower and higher source concentrations, or no valid physical mix exists.
3) Can I use liters, grams, or kilograms?
Yes. Any unit works if all quantity inputs use the same unit consistently. Do not mix liters with kilograms in one calculation.
4) Why does the solver reject equal source concentrations?
If both sources have the same concentration, infinitely many quantity combinations can create the same concentration, so there is no unique answer.
5) Can this calculator handle dilution logic?
Yes. Set one source concentration to zero when mixing with pure water or another neutral base, then solve the needed amounts normally.
6) What does the graph show?
The graph compares source quantities and one key mixture outcome. It helps you quickly see balance, share, and total component contribution.
7) What is the pure component amount?
It is the actual amount of the dissolved substance, such as acid or salt, contained in the final mixture after combining sources.
8) Is this useful for exam practice?
Yes. It helps verify answers, understand weighted averages, and study classic algebra mixture problems with clear intermediate results.