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Chapter 11: Q28Q (page 292)

Estimate the number of liters of water a human drinks in a lifetime.

(Note: Remember that for rough estimates, only round numbers are needed both as input to calculations and as final results.)

Short Answer

Expert verified

A human drinks \(9 \times {10^4}\;{\rm{liters}}\) of water in a lifetime.

Step by step solution

01

Estimations of the life span of humans and the water consumed in a day

On average, a normal human drinks around 3 liters of water in a day.

Also, the average life span of a human is 80 years, and there are 365 days in a year.

02

Calculation of the estimated value of the water a human drinks in a lifetime

The total number of liters a human being drinks in a lifetime is

\(\begin{aligned}{c}N = 80 \times 365 \times 3\;{\rm{liters}}\\ = 87600\;{\rm{liters}}\\ = 9 \times {10^4}\;{\rm{liters}}\end{aligned}\).

Therefore, a human drinks \(9 \times {10^4}\;{\rm{liters}}\)of water in a lifetime.

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Multiply \({\bf{3}}{\bf{.079 \times 1}}{{\bf{0}}^{\bf{2}}}{\bf{ m}}\) by \({\bf{0}}{\bf{.068 \times 1}}{{\bf{0}}^{{\bf{ - 1}}}}{\bf{ m}}\),taking into account significant figures.

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