A tank contains V0= 250L of an aqueous solution containing m0=30kg of salt. Water is entering a tank at a rate of 5L/min, and mixture is exiting at a rate of 1L/min. The concentration remains uniform by stirring.
a) Construct a differential equation for the amount of salt in the tank??
I have calculated that volume of solution in the tank to be V(t)=250+4t , but am struggling to involve salt amount into my calculations. Potentially;
Salt amount = Initial salt amount - (Initial density of salt * rate of flow * time since beginning)