What is Specific Heat Capacity and Its SI Unit

Physics · Thermal Properties Of Matter · NEET

Specific heat capacity (s) is the amount of heat needed to raise the temperature of 1 kilogram of a substance by 1 kelvin (or 1 degree Celsius). Its formula is s = Q / (m x dT), and its SI unit is joule per kilogram per kelvin, written J kg^-1 K^-1. Memory hook: "small s = per kg" - specific always means "per unit mass."
Specific Heat Capacity: s = Q / (m x dT)Water 1 kgs = 4180J/kg/KCopper 1 kgs = 386J/kg/KSame heat Q,copper heats upmuch fasterHigher s means more heat needed for the same temperature rise
Equal mass of water (high s) needs far more heat than copper (low s) for the same 1 K rise, so water heats and cools slowly.

Your doubts, answered

Is specific heat capacity per kilogram or per gram?

In SI units it is per kilogram. Specific heat capacity is heat per unit mass, and the SI unit of mass is the kilogram. So the unit is J kg^-1 K^-1. In older books you may see cal g^-1 C^-1 (calorie per gram), but for NEET always use the SI form J/kg/K. For water, s = 4180 J/kg/K, which is the same as 4.18 J/g/K or 1 cal/g/C.

What is the difference between heat capacity and specific heat capacity?

Heat capacity (S) is for the whole object: S = Q/dT, unit J/K. It depends on how much matter is present. Specific heat capacity (s) is per unit mass: s = S/m = Q/(m x dT), unit J/kg/K. It is a property of the material only, not the size of the object. Two blocks of copper have different heat capacities but the same specific heat capacity.

Does specific heat capacity depend on the mass of the object?

No. Specific heat capacity is a property of the substance itself. It does not change if you take more or less of the material. What changes with mass is the total heat capacity S = m x s. If you double the mass, S doubles but s stays the same. It does depend on the nature of the substance and (slightly) on temperature.

Why does water warm up and cool down so slowly?

Water has a very high specific heat capacity (4180 J/kg/K), one of the highest of common substances. So a large amount of heat is needed to change its temperature even a little. This is why water is used as a coolant in car radiators and in hot water bags, and why sea breezes have a cooling effect - land heats up faster than the sea.

Is the specific heat of water 4180 or 4.18?

Both are correct - they use different units. In SI units it is 4180 J/kg/K (often written 4.18 x 10^3 J/kg/K). If you use grams, it is 4.18 J/g/K. In calories it is about 1 cal/g/C. For NEET numericals, use 4180 or 4200 J/kg/K unless the question gives another value.

⚠️ The NEET trap
Choosing J/K (or J mol^-1 K^-1) as the SI unit of specific heat capacity.
The SI unit of specific heat capacity is J kg^-1 K^-1. J/K is the unit of heat capacity (whole body), and J mol^-1 K^-1 is the unit of molar heat capacity (per mole).
🧠 Read the exact word: heat capacity = J/K, SPECIFIC (per kg) = J/kg/K, MOLAR (per mol) = J/mol/K.

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Frequently asked

What is specific heat capacity in one line?

It is the heat required to raise the temperature of 1 kg of a substance by 1 K, given by s = Q/(m x dT).

What is the SI unit of specific heat capacity?

Joule per kilogram per kelvin, written J kg^-1 K^-1 (same as J kg^-1 C^-1 for temperature differences).

What is the specific heat capacity of water?

About 4180 J/kg/K (or 4.18 x 10^3 J/kg/K), which is unusually high compared with most substances.

Does specific heat capacity have direction or is it a scalar?

It is a scalar quantity. It only has magnitude, since heat and temperature change are scalars.

How is specific heat capacity different from molar heat capacity?

Specific heat capacity is per unit mass (J/kg/K); molar heat capacity is per mole (J/mol/K). Molar = specific x molar mass.