From a hemispherical aquarium of radius R filled with water, a volume of liquid q evaporates from a unit of the water surface per unit of time. How long will it take for the water to evaporate?

Solutions of Savchenko Problems in Physics

Aliaksandr Melnichenka
October 2023

    <h3 id="back-link"><a href="/#1.2">$\leftarrow$Back</a></h3>

    <h3> Statement </h3>
    <p>
        $1.2.10.$ From a hemispherical aquarium of radius $R$ filled with water, a volume of liquid $q$ evaporates from a unit of the water surface per unit of time. How long will it take for the water to evaporate?
    </p>

    <h3>Solution</h3>
    <p>
        

Let's use the Method of Dimensions

$$[q] = \frac{m^3}{s \cdot m^2} \Leftrightarrow [q] = \frac{m}{s}$$

What corresponds to

$$t = R/q$$

As the radius of the aquarium increases, water flows out slower, and the opposite is true as $q$ increases.

    <h4>Answer</h4>
    <p>
        $$t = \frac{R}{q}$$
    </p>


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