Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Physics (Air conditioning energy systems)
Power and energy efficiency
Heat transfer
Formulas
Electrical power = (1.0 W × 0.5 kPa) / 0.6 = 0.83 W m⁻²
Heat removed = (11 s⁻¹ × 1°C × 358) / (273 + 23°C) = 1.22 W m⁻² K⁻¹
Electrical power for cooling = 1.22 W m⁻² (heat) = 0.61 W m⁻²
Air temperature rise = 0.83 W m⁻² / 0.61 W m⁻² = 1.36 K
Theorems
Principles of energy conservation
Heat transfer laws
Work-energy principle
Suitable Grade Level
Undergraduate (Engineering, Physics, Environmental Science)
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