calculate the amount of heat necessary ti raise the temperature of 8.5kg of water from 12.5 to 84 degrees C
To calculate the amount of heat necessary to raise the temperature of a substance, such as water, you can use the specific heat capacity formula:
Q = mcΔT
Where:
Q is the amount of heat (in joules),
m is the mass of the substance (in kilograms),
c is the specific heat capacity of the substance (in joules per kilogram per degree Celsius), and
ΔT is the change in temperature (in degrees Celsius).
For water, the specific heat capacity is approximately 4186 J/kg°C.
Given:
mass of water (m) = 8.5 kg
initial temperature (T₁) = 12.5 °C
final temperature (T₂) = 84 °C
First, we need to calculate the change in temperature (ΔT):
ΔT = T₂ - T₁
ΔT = 84 °C - 12.5 °C
ΔT = 71.5 °C
Now, we can substitute the values into the formula to calculate the amount of heat:
Q = mcΔT
Q = 8.5 kg * 4186 J/kg°C * 71.5 °C
Calculating the product will give us the amount of heat needed to raise the temperature of the water:
Q = 253,019.5 J
Therefore, the amount of heat necessary to raise the temperature of 8.5 kg of water from 12.5 to 84 degrees Celsius is approximately 253,019.5 joules.