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A 17000 cubic foot room initially has a radon level of 880 picocuries per cubic foot....

A 17000 cubic foot room initially has a radon level of 880 picocuries per cubic foot. A ventilation system is installed that brings in 400 cubic feet of air per hour that contains 3 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 120 picocuries per cubic foot.

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