If there is a 0.10 kg sample of the unknown metal alloy originally at 150℃, that is placed in 1.0 kg water at 20℃, and the final temperature rises to 23.5 ℃, what is the specific heat capacity? Specific Heat of Water: 4180 J/kg ℃

We now introduce two concepts useful in describing heat flow and temperature change. The heat capacity ( C ) of a body of matter is the quantity of heat ( q ) it absorbs or releases when it experiences a temperature change ( ΔT ) of 1 degree Celsius (or equivalently, 1 kelvin)

C=qΔT(12.3.1)

Heat capacity is determined by both the type and amount of substance that absorbs or releases heat. It is therefore an extensive property—its value is proportional to the amount of the substance.

For example, consider the heat capacities of two cast iron frying pans. The heat capacity of the large pan is five times greater than that of the small pan because, although both are made of the same material, the mass of the large pan is five times greater than the mass of the small pan. More mass means more atoms are present in the larger pan, so it takes more energy to make all of those atoms vibrate faster. The heat capacity of the small cast iron frying pan is found by observing that it takes 18,140 J of energy to raise the temperature of the pan by 50.0 °C

Explanation: