A chemist has a solution that is 30% acid and another that is 70% acid. If she mixes 5 liters of the 30% solution with 3 liters of the 70% solution, what is the concentration of acid in the resulting mixture?
This scenario reflects a fundamental principle in chemistry: mixing solutions changes both volume and concentration, offering insight into how dilution and blending work in real-world applications. With growing interest in precision mixing—from home science experiments to professional laboratory work—understanding basic concentration calculations has become both practical and relevant.

Today, curiosity about chemical mixtures is increasing across the U.S. Whether stemming from DIY home projects, educational exploration, or professional safety standards, mixing solutions like these is more than a classroom exercise—it reflects a broader public engagement with chemistry’s role in daily life.

A 30% acid solution means 30% of its volume is pure acid, while a 70% solution holds 70% acid. The chemist’s choice—5 liters of mild acid and 3 liters of concentrated acid—creates a blend where neither solution dominates evenly, highlighting how volume ratios directly affect final concentration.

Understanding the Context

How to Calculate the Final Acid Concentration

To determine the mixture’s concentration, start by calculating the total amount of acid from each solution:

  • Acid from 30% solution: 5 liters × 0.30 = 1.5 liters of pure acid
  • Acid from 70% solution: 3 liters × 0.70 = 2.1 liters of pure acid

Next, sum the acid amounts and total volume:

  • Total acid = 1.5 + 2.1 = 3.6 liters
  • Total volume = 5 + 3 = 8 liters

Finally, divide total acid by total volume to get concentration:

  • Final concentration = 3.6 ÷ 8 = 0.45, or 45%

Key Insights

This precise calculation reveals that blending 5 liters of 30% acid with 3 liters of 70% acid yields a 45% acid solution—a valuable insight for education, safety planning, or practical mixing across sectors.

Why This Mix Draws Attention in the U.S.

Chemistry education and safe home experimentation are seeing rising