How Much Water Remains After 3 Hours of Evaporation from a 150-Liter Tank?

When a tank is filled with water, one important factor to consider—especially in open environments—is evaporation. If you’re holding 150 liters of water in a tank and it loses 12% of its content every hour, what remains after 3 hours? Understanding how evaporation impacts water volume helps with accurate forecasting in agriculture, residential water management, and industrial applications.

The Evaporation Rate Explained

Understanding the Context

An evaporation rate of 12% per hour means the tank loses 12% of its current water volume each hour. This reduction follows an exponential decay pattern, not a linear one. Each hour, only 88% (100% – 12%) of the water remains after evaporation.

Calculating Water Remaining After 3 Hours

Start with 150 liters.

  1. After 1st hour:
    Water lost = 12% of 150 = 0.12 × 150 = 18 liters
    Remaining = 150 – 18 = 132 liters
A tank is filled with 150 liters of water. If it loses 12% of its water every hour due to evaporation, how much water remains after 3 hours?

Key Insights

  1. After 2nd hour:
    Water lost = 12% of 132 = 0.12 × 132 = 15.84 liters
    Remaining = 132 – 15.84 = 116.16 liters

  2. After 3rd hour:
    Water lost = 12% of 116.16 = 0.12 × 116.16 ≈ 13.9392 liters
    Remaining ≈ 116.16 – 13.9392 ≈ 102.22 liters

Final Result

After 3 hours of evaporation at a rate of 12% per hour, approximately 102.22 liters of water remain in a 150-liter tank.

Summary

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### Question 7
A quadratic equation \(x^2 - 5x + 6 = 0\) has roots \(r_1\) and \(r_2\). What is the value of \(r_1^2 + r_2^2\)?
Using the identity \(r_1^2 + r_2^2 = (r_1 + r_2)^2 - 2r_1r_2\)

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Final Thoughts

  • Evaporation applies to the current volume each hour, leading to compounding loss.
  • Starting with 150 liters and losing 12% hourly, after 3 hours, about 102.22 liters remain.
  • This highlights the importance of using sealed storage for long-term water conservation.

For those managing water storage or drought-prone regions, timely replenishment tracking based on evaporation rates ensures sustainable supply planning.

Keywords: evaporation loss, water tank calculation, 150-liter tank evaporation, water remaining after 3 hours, 12% hourly evaporation, exponential decay in water volume, water conservation math