The enthalpy of evaporation of water is 40.67 kJ>mol. Sunlight striking Earth’s surface supplies 168 W per square meter 11 W = 1 watt = 1 J>s2.) The specific heat capacity of liquid water is 4.184 J>g °C. If the initial surface temperature of a 1.00 square meter patch of ocean is 26 °C, what is its final temperature after being in sunlight for 12 h, assuming no phase changes and assuming that sunlight penetrates uniformly to depth of 10.0 cm?

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Chapter10: Thermal Physics
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The enthalpy of evaporation of water is 40.67 kJ>mol. Sunlight striking Earth’s surface supplies 168 W per square meter 11 W = 1 watt = 1 J>s2.) The specific heat capacity of liquid water is 4.184 J>g °C. If the initial surface temperature of a 1.00 square meter patch of ocean is 26 °C, what is its final temperature after being in sunlight for 12 h, assuming no phase changes and assuming that sunlight penetrates uniformly to depth of 10.0 cm?

Expert Solution
Step 1

The given values with suitable variables are listed below.

Physics homework question answer, step 1, image 1

Here, hv denotes the enthalpy of evaporation, E denotes the energy supplied, C denotes the specific heat, A denotes the area, Ti denotes the initial temperature, t denotes the time, and d denotes the depth.

Step 2

The volume of the water can be determined as,

Physics homework question answer, step 2, image 1

The mass of the water can be determined as,

Physics homework question answer, step 2, image 2

The amount of heat supplied to evaporate water from the ocean can be determined as,

Physics homework question answer, step 2, image 3

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