A tank contains 1,100L of brine with 10kg of dissolved salt. pure water enters t

Question

A tank contains 1,100L of brine with 10kg of dissolved salt. pure water enters the tank at a rate of 14L/min. The solution is kept thoroughly mixed and drains from the tank at the same rate. how much salt is in the tank after 15 minutes? Select the correct answer. 8.47 kg 7.73 kg 7.92 kg 8.26 kg 8.8 kg A trough is filled with a liquid of density 855 kg/m3. The ends of the trough are equilateral triangles with sides 6 m long and vertex at the bottom. Find the hydrostatic force on one end of the trough. Select the correct answer. 2.10*105 N

Explanation / Answer

9) let at t=t we have brine=1100L and amount of salt=x

dx/dt=-14*x/1100

so lnx= -(14/1100)t+c

at t=0 x=10

so c=ln10

so x=10e^(-(14/1100)t)

so at t=15 x= 8.26Kg

So option(d) is correct

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