Question: A 19000 cubic foot room initially has a radon level of 860 picocuries per cubic foot. A ventilation system is installed that brings in 700

A 19000 cubic foot room initially has a radon level of 860 picocuries per cubic foot. A ventilation system is installed that brings in 700 cubic feet of air per hour that contains 6 picocuries per cubic foot, while an equal quantity of the well-mixed air in the room leaves the room each hour. Setup and use a differential equation to determine how long it will take for the room to reach a safe to breathe level of 90 picocuries per cubic foot. (Round your answer to 5 decimal places.)

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