Electrical & Utility Applications

Monthly Energy Usage Analysis

Calculate utility bills: 850 kWh × $0.12/kWh = $102 monthly cost, equivalent to 3,060 MJ of energy consumption

Appliance Energy Costs

Air conditioner using 3 kW for 8 hours daily consumes 720 kWh monthly, costing $86.40

LED vs Incandescent Savings

10 LED bulbs save 2.5 kWh daily vs incandescent, resulting in $9 monthly savings

Solar Panel Output

5 kW solar system generates 750 kWh monthly (2,700 MJ), saving $90 in electricity costs

🍎Nutrition & Food Energy

Daily Caloric Requirements

Adult male needs 2,500 kcal/day = 10.46 MJ/day, equivalent to 122W continuous power consumption

Exercise Energy Expenditure

Running burns 600 kcal/hour (2,510 kJ/hr), equivalent to 697W power output during activity

Macronutrient Energy Content

Carbs & protein: 4 kcal/g (16.7 kJ/g), Fat: 9 kcal/g (37.7 kJ/g), Alcohol: 7 kcal/g (29.3 kJ/g)

Meal Planning Energy

Daily meals totaling 2,500 kcal = 10.4 MJ distributed across breakfast, lunch, dinner, and snacks

🏠HVAC & Building Energy Systems

Gas Furnace Efficiency

1,000 ft³ natural gas at 90% efficiency provides 273.5 kWh equivalent heat output

Heat Pump COP Analysis

Heat pump with COP 3.5 delivers 17.5 kW heat output from 5 kW electrical input, 3.5× more efficient than gas

Air Conditioner Load Calculation

36,000 BTU/hr cooling (3 tons) consumes ~3.5 kW, costing $3.36 daily for 8-hour operation

Building Heat Gain

Commercial office at 10 W/ft² load requires 14.2 tons of cooling capacity for 5,000 ft² space

🔧Engineering & Industrial Applications

Motor Energy Consumption

50 HP motor at 85% efficiency uses 43.9 kW input power, consuming 439 kWh daily (1,580 MJ)

Compressed Air Systems

100 CFM compressor at 125 psi uses ~22 kW, costing $422 monthly in electrical energy

Steam Generation

Industrial boiler producing 1,000 lb/hr steam at 80% efficiency requires 366 kW equivalent power input

Electric Arc Furnace

Steel melting requires 500 kWh/ton; 50-ton batch costs $1,500 in electrical energy at $0.06/kWh

Common Conversion Mistakes

Food vs Scientific Calories

Food 'Calories' (capital C) = kilocalories = 1,000 scientific calories. Always check units on nutrition labels

Power vs Energy Confusion

Power (W, kW) is rate; Energy (J, kWh) is total amount. A 1500W heater uses 36 kWh/day, not 1500 kWh

Ignoring System Efficiency

Real systems have losses. Output = Input × Efficiency (always <100%) due to heat, friction, resistance

Quick Reference

Common Conversions

1 kWh = 3,412 BTU = 3.6 MJ
1 HP = 0.746 kW = 2,545 BTU/hr
1 therm = 100,000 BTU = 29.3 kWh
1 kcal = 4.184 kJ = 3.968 BTU

Energy Densities

Gasoline: 34 MJ/L (121,000 BTU/gal)
Natural gas: 37 MJ/m³ (1,037 BTU/ft³)
Coal: 25 MJ/kg (10,800 BTU/lb)
Battery: 0.5 MJ/kg (typical Li-ion)

Typical Power Ratings

LED bulb: 10W, Microwave: 1000W
Home AC: 3500W, Electric car: 50-100kW
House average: 1-2kW continuous
Human metabolism: 100W average