If you wish to warm 100 kg of water by 20° C for your bath, show that 8370 kJ of heat is required.?

To calculate the amount of heat required to warm a substance, we can use the formula:

Q = m * c * ΔT

Where:
Q = amount of heat energy (in joules)
m = mass of the substance (in kilograms)
c = specific heat capacity of the substance (in joules per kilogram per degree Celsius)
ΔT = change in temperature (in degrees Celsius)

In this case, we have:
m = 100 kg (mass of water)
c = 4.18 kJ/kg°C (specific heat capacity of water)
ΔT = 20°C (change in temperature)

Let's substitute the values into the formula:

Q = 100 kg * 4.18 kJ/kg°C * 20°C

Now, let's perform the calculation:

Q = 100 kg * 4.18 kJ/kg°C * 20°C
Q = 83,600 kJ°C

Therefore, we find that 83,600 kJ of heat energy is required to warm 100 kg of water by 20°C for your bath.