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Question: State the SI unit of specific heat capacity: A. \({J^1}K{g^1}{K^{ - 1}}\) B. \({J^1}K{g^{ - 1}}{...

State the SI unit of specific heat capacity:
A. J1Kg1K−1{J^1}K{g^1}{K^{ - 1}}
B. J1Kg−1K1{J^1}K{g^{ - 1}}{K^1}
C. J1Kg1K1{J^1}K{g^1}{K^1}
D. J1Kg−1K−1{J^1}K{g^{ - 1}}{K^{ - 1}}

Explanation

Solution

- Hint – In order to solve such problems we need to know that the formula of specific heat capacity is the amount of heat per unit mass required to raise the unit temperature.

Complete step-by-step solution -

We know the unit of heat is joule(J).
Specific heat capacity is the amount of heat per unit mass (kg) required to raise the unit temperature (K).
So the unit according to the above statement can be written as JKg−1K−1JK{g^{ - 1}}{K^{ - 1}}.
Hence, the correct option is D.

Note – To solve this problem you just need to know that unit SI unit of heat is joule, mass is kg and temperature is kelvin. Also the specific heat capacity of a substance is the heat capacity of a sample of the substance divided by the mass of the sample. Informally, it is the amount of energy that must be added, in the form of heat, to one unit of mass of the substance in order to cause an increase of one unit in its temperature. Knowing this will solve your problem.