Question

An isopentane storage tank has a cylindrical geometry with 2 m in diameter and 4 m in height. The tank is initially found with a liquid level of 0.5 m above the base of the tank. This tank is removed 100 L / s of isopentane as a discharge that is sent to a later process. At a given moment, a recharge of 300 L / s of isopentane is initiated to the tank to recover the level of the liquid.

It is requested to : .

a. Obtain an expression that represents the level of liquid "h" in the tank as a function of the time elapsed since the recharge starts (note: the discharge is not interrupted)

b. How long will the level of the liquid reach 80% of the capacity of the tank?

Answer 1