A process requires a supply of 2,500 gal/hr of 12% (by mass) hydrochloric acid solution and it can tolerate a variation of ±0.15% in the concentration of hydrochloric acid. A system with a buffer tank is designed such that an alarm will be activated when the concentration of hydrochloric acid goes above 12.15% or falls below 11.85% in the tank as well as in the supply stream to the process. The contents of the tank are well mixed resulting in a uniform concentration of the acid throughout the tank. The capacity of the buffer tank is 5000 gallon and it contains 4500 gallons of 12% hydrochloric acid solution at an instant when the concentration of the inlet stream to the buffer tank spikes up to 16%. Under normal operating conditions, the inlet stream to the buffer tank is 2500 gal/hr of 12% hydrochloric acid solution. The concentrations given are on a mass basis and the density of all the liquid solutions are 8.92 lbm/gal. Determine the time it takes for the alarm to be activated after the spike in the inlet hydrochloric acid solution.