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How to calculate specific heat of metal, and molar heat capacity of metal?

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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