A basin contains Ns (t) moles of salt dissolved in Nw (t) moles of water. The basin receives fresh water at a constant rate Ωin w. This water is assumed to be thoroughly mixed in the basin so that the salt concentration can be considered homogeneous. The salty water comes out of the basin at a constant rate Ωout sw = Ωout s (t) + Ωout w (t), where Ωout s (t) and Ωout w (t) are the salt and water outflow rates. Determine the salt concentration,

as a function of time t for the given initial conditions Ns (0) and Nw (0).

Transcribed Image Text:

Cs (t) = N₂ (t) Ns (t) + Nw (t)