How much heat is needed to raise the temperature of 2kg of water to 10K?
To calculate the amount of heat needed to raise the temperature of a substance, we can use the specific heat capacity formula:
Q = m * c * ΔT
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 Kelvin),
ΔT is the change in temperature (in Kelvin).
For water, the specific heat capacity (c) is approximately 4,186 J/kg·K.
Given:
m = 2 kg
ΔT = 10 K
c = 4,186 J/kg·K
Plugging in these values into the formula, we have:
Q = 2 kg * 4,186 J/kg·K * 10 K
Q = 83,720 J
Therefore, approximately 83,720 joules of heat are needed to raise the temperature of 2 kg of water by 10 Kelvin.