Also Find the concentration of salt in the solution in the t

Also, Find the concentration of salt in the solution in the tank as time approaches infinity.

volume of water at any time = 2000 + 5t

conc. at that time = m(t)/(2000+5t) [where m(t) is the amount of salt present]

Hence

dm/dt = - 5m(t)/(2000+5t)

=> dm/m(t) = - dt/(2000+5t)

=> ln m(t) = -ln(2000+5t) + c => m(t) = C/(2000+5t)

where C= 2000x60 = 120000kg-L

=> m(t) = 120000/(2000+5t)

at t=2.5hrs

m(t) = 120000/2012.5 = 59.627Kg