If mercury overflows, it’ll trigger an alarm in the lab. The teacher wants to keep the lab at exactly 16.37 ◦C. While the mercury alarm is in place. How long would a person of average body size (surface area of about 1.8 m2 and normal body temperature of 37◦C) have to spend in the lab which holds 2700 moles of air to trigger the mercury alarm? Side note: The maximum temperature the lab can heat the system to (to the thousandth of a degree Celsius) before the mercury overflows is 16.37◦C. Please show all work with equations that are used.

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Ideal Gas Law

Ideal gas law states that the product of pressure and volume of a gas directly varies with the product of the number of moles, the universal gas constant, and the temperature of the gas.