A certain quantity has the SI base–unit representation

PHYSICS · Subjective · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

A certain quantity

q

has the SI base–unit representation

\text{kg}\,\text{m}^{2}\,\text{s}^{-2}\,\text{K}^{-1}

. (a) Identify the physical quantity represented by

q

and write the special SI derived unit name and its symbol. (b) Using the result of part (a), express the specific heat capacity

c

of water numerically given as

4.186\,\text{kJ}\,\text{kg}^{-1}\,\text{K}^{-1}

solely in base SI units. (c) If

500\,\text{g}

of water is heated through

15\,\text{K}

, calculate the amount of heat energy supplied in joules, showing clearly how the unit conversions maintain consistency with the base-unit expression obtained in part (b).

Related theory

Specific Heat Capacity
Heat Capacity
Measurement Systems
Thermodynamics
Calorimetry and latent heat
Thermal Properties of Matter

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