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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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