How much heat, expressed in Kwh, is required to raise the temperature of water in a 20,000 gallon pool by 10 degrees C. ?

heat=masswater*specificheat*10

masswater=20,000gal*8.3436lbs/gallon*1kg/2.2lbs

look up the specific heat of water in Joules/kg*C

then
Converting joules to kwh: 2.77777778 × 10-7 j/kwh

Does that help?

To determine the amount of heat required to raise the temperature of water in a pool, we can use the formula:

Heat (in kWh) = (Mass of water in kg) x (Specific heat capacity of water in kJ/kg°C) x (Change in temperature in °C)

First, we need to calculate the mass of water in the pool:

1 gallon = 3.78541 liters
20,000 gallons = 20,000 x 3.78541 liters = 75,708.2 liters (approximately)

Density of water = 1 kg/L
Mass of water = 75,708.2 kg (approximately)

The specific heat capacity of water is approximately 4.186 kJ/kg°C.

Now we can calculate the heat required:

Heat = (75,708.2 kg) x (4.186 kJ/kg°C) x (10°C)

Calculating this, we get:

Heat ≈ 3,155,543.212 kJ

To convert kJ to kWh, divide by 3.6 (since 1 kWh = 3.6 kJ):

Heat ≈ 3,155,543.212 kJ ÷ 3.6

Heat ≈ 876,539.225 kWh

Therefore, approximately 876,539.225 kWh of heat is required to raise the temperature of water in a 20,000-gallon pool by 10 degrees Celsius.

To determine the amount of heat required to raise the temperature of water in a pool, we need to know the specific heat capacity of water and the mass of the water.

The specific heat capacity of water is 4.186 J/g°C or 1 calorie/gram/°C. To convert this value to kilowatt-hours (KWh), we need to consider the conversion factor:

1 kilowatt-hour (KWh) = 3,600,000 joules (J)

Now, let's calculate the amount of heat required to raise the temperature of the water:

Step 1: Calculate the mass of the water in the pool.
Since you mentioned the volume of the pool is 20,000 gallons, we need to convert this to the mass of water in kilograms.

1 gallon of water ≈ 3.785 liters
1 liter of water weighs about 1 kilogram

20,000 gallons ≈ 20,000 * 3.785 liters ≈ 75,700 liters

Mass of water = 75,700 kg

Step 2: Calculate the heat energy required.
We can use the formula:
Heat energy (J) = mass (kg) * specific heat capacity (J/g°C) * temperature change (°C)

Heat energy (J) = 75,700 kg * 4.186 J/g°C * 10°C

Step 3: Convert the heat energy to kilowatt-hours (KWh).
Heat energy (KWh) = (75,700 kg * 4.186 J/g°C * 10°C) / (3,600,000 J)

Therefore, the amount of heat required to raise the temperature of the water in a 20,000 gallon pool by 10 degrees Celsius is approximately equal to the calculated value in kilowatt-hours.