A partially-full tank initially contains 1000 kg of 10 wt.% hydrochloric acid (H

Question

A partially-full tank initially contains 1000 kg of 10 wt.% hydrochloric acid (HC) solution. At timet 0 it starts to be filled with pure water at a rate of 10 kg/min. Choose which of the following equations gives the mass fraction concentration X in the tank as a function of time up until the time when it just starts to overflow. You may assume no reactions occur. x (1000 kg)/1100 kg t(10 kg/min) x (1000 kg)/Lt(10 kg/min)] x (100 kg)/Lt(10 kg/min)] x (100 kg)/L1 000 kg t(10 kg/min) None of or more than one of the above.

Explanation / Answer

10 wt % HCl => 100 grams of solution contains 10 grams of HCl
so, 1000 kg solution contains 100kg HCl

so, at t=0, x=100kg/1000kg= 10

at t=t min , x= 100kg/( 1000kg +10kg/min*t)

Hence,answer=d)

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