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In order to calculate of a metal, use this equation ##C=(Q)/(m·DeltaT)##
To calculate molar heat capacity of a metal, use the following equation ##C_n=(Q)/(n·DeltaT)##
SPECIFIC HEAT CAPACITY
The specific heat capacity (C) of a substance is the amount of heat energy (Q) required to raise the temperature of 1 g of the substance by ##”1″^(“o”)”C”## or ##”1 K”##.
The amount of heat energy (Q) gained or lost by a substance is equal to the mass (m) in grams multiplied by its specific heat capacity (C) multiplied by the change in temperature (##DeltaT##), which is the final temperature (##T_f##) – initial temperature (##T_i##).
##Q=m·C·DeltaT##
In order to use this equation to solve for specific heat, rearrange the equation to isolate and solve for C.
##C=(Q)/(m·DeltaT)##
The units for specific heat capacity are ##”cal/g·”^(“o”)”C”##, ##”J/g·”^(“o”)”C”##, or ##”J/g·K”##.
MOLAR HEAT CAPACITY
Molar heat capacity of a substance is the amount of energy required to raise 1 mole of a substance by ##”1″^(“o”)”C”## or ##”1 K”##.
The amount of heat energy (Q) gained or lost by a substance is equal to the moles (n) multiplied by its molar heat capacity (##C_n##) multiplied by the change in temperature (##DeltaT##), which is the final temperature (##T_f##) – initial temperature (##T_i##).
##Q=n·C_n·DeltaT##
To calculate molar heat capacity of a substance, rearrange the above equation to isolate and solve for ##C_n##.
##C_n=(Q)/(n·DeltaT)##
The units for molar heat capacity are ##”cal/mol·”^(“o”)”C”##, ##”J/mol·”^(“o”)”C”##, or ##”J/mol·K”##.
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