Problem $2.($from Murphy$)$ A $5000L$ tank is filled to capacity with a solution that contains $40wt\%$ nitric acid in water. The density of the solution is $1\mathrm{.}256\frac{g}{m}L.$ A small hole develops in the bottom of the tank at a corroded spot, and, as the nitric acid leaks out, the diameter of the hole increases. This causes the flow rate through the hole to increase linearly with time. Assume the flow rate through the leak is initially $5\frac{L}{m}in$ and is $55\frac{L}{m}in$ after $10$ minutes. Calculate how many $Kg$ of $HN{O}_3($not the solution$)$ have spilled on the floor in $20$ minutes, when you discover the problem.

Answer: $552$kgHNO$3$ leaked