A liquid$-$liquid extraction vessel is used to separate a solute $($S$)$ from water $($W$).$ The solute is transferred to an organic solvent $(O)$ that is immiscible in water. Given the process diagram below, calculate the following:

The organic solvent flowrate required $(m_3^{})$ to produce a water product contain $0\mathrm{.}5\%$ solute.

The fraction of the solute $(x_2)$ recovered in the organic solvent product.