Write the Dimensions of "Molar Specific Heat Capacity"
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1 kcal/(°C⋅mol) ("large calorie") = 4184 J⋅K−1⋅mol−1. The molar heat capacity of a substance has the same dimension as the heat capacity of an object; namely, L2⋅M⋅T−2⋅Θ−1, or M(L/T)2/Θ.
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Since an increment of temperature of one degree Celsius is the same as an increment of one kelvin, that is the same unit as J/°C. The heat capacity of an object is an amount of energy divided by a temperature change, which has the dimension L2⋅M⋅T−2⋅Θ−1.
The molar heat capacity of a chemical substance is the amount of energy that must be added, in the form of heat, to one mole of the substance in order to cause an increase of one unit in its temperature. ... The SI unit of specific heat is joule per kelvin per mole, J⋅K−1⋅mol−1.
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