Calculate specific heat capacity using heat energy, mass, and temperature change. Find the thermal energy required to raise temperature of substances.
Specific Heat Capacity
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Heat Energy
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Mass
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Temperature Change
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Specific heat capacity is the amount of thermal energy required to raise the temperature of 1 kg of a substance by 1 K (or 1°C). It's a material property that determines how much energy is needed to heat or cool a substance.
The specific heat formula is c = Q/(m×ΔT), where c is specific heat capacity, Q is heat energy, m is mass, and ΔT is temperature change. This can be rearranged to solve for any unknown variable.
The SI unit for specific heat capacity is J/(kg·K) or J/(kg·°C). Other common units include J/(g·°C), cal/(g·°C), and Btu/(lb·°F) depending on the measurement system used.
Water has a specific heat capacity of approximately 4,186 J/(kg·K) or 4.186 J/(g·°C). This high value makes water excellent for thermal regulation and heat storage applications.
Aluminum has a specific heat capacity of approximately 900 J/(kg·K) or 0.9 J/(g·°C). This relatively low value means aluminum heats up and cools down quickly compared to water.
Specific heat at constant pressure (cp) is typically higher than at constant volume (cv) because energy is needed for both temperature increase and expansion work. For solids and liquids, the difference is usually small.
Use the formula Q = mc×ΔT, where Q is energy, m is mass, c is specific heat capacity, and ΔT is temperature change. Multiply the mass by specific heat and temperature difference to get the required energy.
No, specific heat capacity is always positive. However, the heat energy Q can be negative when heat is removed from a substance (cooling), and temperature change can be negative when temperature decreases.