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Electrical power companies sell electrical energy by kilowatt where 1 KW = 3.6 x 10^6 J. Suppose that it cost Php 11.32 per kWh to run electric water heater. How much does it cost to heat 8.5 kg of water
from 18°C to 43°C to fill a bath tub. (Specific heat capacity of water is 4180 J/kg K)

Sagot :

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1. Energy required to heat the water:

Energy = 8.5 kg * 4180 J/kg K * (43°C - 18°C)

Energy = 8.5 kg * 4180 J/kg K * 25°C

Energy = 8.5 kg * 4180 J/kg K * 25

Energy = 8.5 kg * 104,500 J

Energy = 893,250 J

2. Convert energy to kilowatt-hours:

Energy (kWh) = 893,250 J / (3.6 x 10^6 J)

Energy (kWh) = 0.248125 kWh

3. Calculate the cost:

Cost = 0.248125 kWh * Php 11.32/kWh

Cost = Php 2.81

it would cost Php 2.81 to heat 8.5 kg of water from 18°C to 43°C using an electric water heater.