Give the $SI$ unit of heat capacity. Write the dimensional formula of heat capacity.

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(N/A) Heat capacity $(C)$ is defined as the amount of heat energy required to raise the temperature of a given body by $1 \ K$ (or $1 \ ^\circ C$).
Mathematically, $C = \frac{Q}{\Delta T}$, where $Q$ is the heat energy and $\Delta T$ is the change in temperature.
$1$. $SI$ unit: Since heat energy $(Q)$ is measured in Joules $(J)$ and temperature $(\Delta T)$ in Kelvin $(K)$, the $SI$ unit of heat capacity is $J/K$ or $J \cdot K^{-1}$.
$2$. Dimensional formula: The dimension of heat energy $(Q)$ is $[ML^2T^{-2}]$ and the dimension of temperature $(\Delta T)$ is $[K]$.
Therefore, the dimensional formula of heat capacity is $\frac{[ML^2T^{-2}]}{[K]} = [ML^2T^{-2}K^{-1}]$.

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