A puddle of area 0.05 m² evaporates 0.8 mm of water in 24 hours. Calculate the mass of water evaporated in kilograms. Show all calculations.
Answer
0.04 kg
The correct answer is 0.04 kg — Therefore, 0.04 kg of water evaporated in 24 hours.
Step-by-step solution
- Convert the depth of evaporation from millimetres to metres: 0.8 mm = 0.0008 m.
- Compute the volume evaporated: 0.05 m² × 0.0008 m = 0.00004 m³.
- Convert cubic metres to litres: 0.00004 m³ × 1000 L/m³ = 0.04 L.
- Since 1 L of water has a mass of 1 kg, the mass evaporated is 0.04 kg.
- Therefore, 0.04 kg of water evaporated in 24 hours.
Common mistake: Not converting millimetres to metres or confusing litre with kilogram.
Concept tested: Volume‑mass conversion in evaporation
Published · How this solution was prepared and checked
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