A pool of volume 5 x 10^4 litres is initiale full of water containing chlorine at a concentration 5g/L. The contents of the pool are drained at 50L/min while the pool is kept full from the reservoir containing 2g/L of chlorine.
(a) Assuming the pool is thoroughly stirred at all times, show that M, the mass in grams of chlorine in the pool, obeys dM/dt= (〖10〗^5-M)/〖10〗^3 .
(b) Show that M = A(e)^-0.001t +10^5 satisfies the above differential equation.
(c) Evaulate A
(d) Find, to the nearest hour, the time for which can be continued if the safe level of chlorine in the pool is 3g/L
i can done parts b &c, but not a and d
can someone help me. thanks
(a) Assuming the pool is thoroughly stirred at all times, show that M, the mass in grams of chlorine in the pool, obeys dM/dt= (〖10〗^5-M)/〖10〗^3 .
(b) Show that M = A(e)^-0.001t +10^5 satisfies the above differential equation.
(c) Evaulate A
(d) Find, to the nearest hour, the time for which can be continued if the safe level of chlorine in the pool is 3g/L
i can done parts b &c, but not a and d
can someone help me. thanks