If 69.5 kJ of heat is applied to a 1012 -g block of metal,...

If $69.5 \mathrm{~kJ}$ of heat is applied to a 1012 -g block of metal, the temperature of the metal increases by 11.4 'C Calculate the specific heat capacity of the metal in $\mathrm{J} / \mathrm{g} \quad \mathrm{C}$

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Key Concepts

Specific Heat Capacity

This concept defines the amount of heat required to raise the temperature of a unit mass of a substance by one degree Celsius. It is an intrinsic property of the material that determines how quickly it can heat up or cool down when energy is added or removed. In practical problems, the specific heat capacity is calculated by dividing the thermal energy absorbed or released by the product of the mass of the substance and the change in its temperature.

Heat Transfer Equation (Q = mc?T)

The heat transfer equation expresses the relationship between the heat added to a substance (Q), its mass (m), its specific heat capacity (c), and the resulting temperature change (?T). This formula is fundamental in calorimetry and thermodynamics, allowing one to calculate any of the four variables when the others are known. It plays a crucial role in understanding energy exchange in various physical and chemical processes.

Unit Conversion

Accurate computation in thermal problems often requires converting units so they are consistent. For example, energy might be given in kilojoules and needs to be converted into joules, while mass can be in grams and temperature changes in degrees Celsius. Correct unit conversion ensures that the numerical values used in the heat transfer equation are compatible, preventing calculation errors.

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