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Over the course of a day, 4.0 kg of water evaporates from the leaves. What is the amount of water evaporated in grams?

1) 4000 g
2) 40 g
3) 0.4 g
4) 0.04 g

User Laertiades
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1 Answer

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Final answer:

The amount of water evaporated is 4000 grams. By applying heat transfer principles, we can calculate that 1.6 kg of water evaporates from each square meter per hour on a hot, dry day if the entire incoming heat from the sun is used for evaporation.

Step-by-step explanation:

To find the amount of water evaporated in grams from the leaves over the course of a day, we simply convert the mass from kilograms to grams. Since 1 kilogram equals 1000 grams, we multiply the mass of water in kilograms by 1000. 4.0 kg of water × 1000 grams/kg = 4000 grams of water.

For the given scenarios, we apply the heat transfer principles and the enthalpy of vaporization to determine the mass of water evaporated. On a hot dry day, if 1.00 kW/m² of sunlight heat (which is 1000 J/s/m²) is entirely used for evaporation, this means 1000 J/s × 3600 s/h = 3,600,000 J of energy are transferred per square meter in 1 hour.

The heat energy required to evaporate water is typically 2250 J/g, so:

3,600,000 J ÷ 2250 J/g = 1600 g or 1.6 kg of water evaporated from each square meter in one hour.

User Jakub Kutrzeba
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