A tank has pure water flowing into it at 10 litres/min. The contents of the tank are kept thoroughly

Question

A tank has pure water flowing into it at 10 litres/min. The contents of the tank are kept thoroughly mixed, and the contents flow out at 10 litres/min.

Initially, the tank contains 10 kg of salt in 100 litres of water. How much salt will there be in the tank after 30 minutes?

Accepted Answer

$x = 10e^{-\frac{t}{10}}$, at $t = 30$: $x = \frac{10}{e^3} \approx 0.498$ kg\)

Worked Example 2

Worked Example 2

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