Quantitative Skills > Teaching Resources > Activities > BotEC: Rate of Lava Flow

# Back-of-the-Envelope Calculations: Rate of Lava Flow

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#### Summary

Question

In 1983, an eruption began at Kilauea Volcano in Hawaii that has proved to be the largest and longest-lived eruption since records began in 1823. Lava has poured out of the volcano at an average rate of about 160 million m3 per year. To put those flow rates into perspective, let's suppose that the volcano was erupting directly into your classroom. At these flow rates, how long would it take to fill your classroom with lava?

## Assessment

About one minute! If your classroom is about 10 m x 10 m x 3 m (30' x 30' x 9'), your classroom would hold about 300 m3 of lava. 160 million m3 per year is about 5 m3 per second (there are 31,536,000 seconds in a year). If you filled your classroom with lava at the rate of 5 m3 per second, it would take only 60 seconds to fill your classroom! Imagine having a hose big enough to fill your classroom with water that fast!

## References and Resources

This SERC page describes the use of Back of the Envelope Calculations

A View from the Back of the Envelope : This site has a good number of easy simulations and visualizations of back of the envelope calculations.

The Back of the Envelope : This page outlines one of the essays in the book "Programming Pearls" (ISBN 0-201-65788-0). The book is written for computer science faculty and students, but this portion speaks very well to back of the envelope calculations in general.

## Controlled Vocabulary Terms

Subject: Geoscience:Geology:Igneous and Metamorphic Petrology:Volcanology, Environmental Science:Natural Hazards:Volcanism
Resource Type: Activities:Classroom Activity:Short Activity
Special Interest: Quantitative, Hazards
Grade Level: High School (9-12), College Lower (13-14), College Upper (15-16)
Quantitative Skills: Estimation, Graphs