Respuesta :
Answer:
The quantity of salt is "957 lb". A further explanation is given below.
Explanation:
(1)
As we know,
1 hour 40 Min
= 60 min + 40 min
= 100 min
Salt water is going in at the rate of 2 gal/min
Salt water went into the tank in 100 min will be:
= [tex]2 \ gal/min\times 100 \ min = 200 \ gal[/tex]
We have 1.92 lb of salt per gal.
In 200 gal, salt went in 1 hour 40 min will be:
= [tex]1.92 \ salt/gal\times 200 \ gal[/tex]
= [tex]384 \ lb[/tex]
Now,
ft3 = 7.5 gal
The density of solution will be:
= [tex]\frac{71.8 \ lb}{7.5 \ gal}[/tex]
= [tex]9.57 \ lb/gal[/tex]
The solution went out in 100 min 1920 lb as well as going out at 19.2 lb per min.
= [tex]\frac{1920 \ lb}{9.57 \ lb/gal}[/tex]
= [tex]200 \ gal[/tex] (salt went out)
The salt remained in the tank at the end of 1 hour 40 min i.e.,
= [tex]384 - 200[/tex]
= [tex]184 \ lb[/tex]
(2)
As well as the upper limit for the no. of pounds for continues stirring indefinitely per 100 gal will be:
= [tex]957 \ lb[/tex]
