The runway and tarmac at an airport has become dangerously hot due to summer hea

Question

The runway and tarmac at an airport has become dangerously hot due to summer heat. In order to prevent an accidental fuel leak from causing a fire, the airport authority decides to pour water onto the pavement to bring its temp to a safer level. Due to water shortage and safety concerns posed by air-crafts moving on wet surfaces, the airport authority decides to use enough water to cool the pavement as much as possible without leaving any liquid water on its surface. They ask you to determine the volume of water needed to perform the cooling.
They provide total pavement area =200,000m^2
thickness = 0.0254m
specific heat of tarmac = 0.92 kJ/kg-k
density of tarmac = 2110 kg/m^3
Temperature of tarmac = 120 deg C.

You also know from experience the ambient temp of cooling water, its specific hear and density.

Determine the max volume of water that can be used for cooling given the no liquid remaining criteria.

Explanation / Answer

let required temp after cooling =25c

ambient temp of cooling water=5c

200,000m^2x 0.0254x 2110x0.92x(120-25)=Mx 4.187 x(100-5)

M=2355217.578 kg

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