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

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(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 $\frac{[ML^2T^{-2}]}{[K]} = [ML^2T^{-2}K^{-1}]$.

Explore More

Similar Questions

If the ratio of the diameters of two spheres made of the same material is $1:2$,what is the ratio of their heat capacities?

The specific heat capacity of a substance is temperature dependent and is given by the formula $C = kT$,where $k$ is a constant of suitable dimensions in $SI$ units,and $T$ is the absolute temperature. If the heat required to raise the temperature of $1 \ kg$ of the substance from $-73^{\circ} C$ to $27^{\circ} C$ is $nk$,the value of $n$ is. . . . . . [Given: $0 \ K = -273^{\circ} C$.]

In engines,water is used as a coolant because ......

What is the value of the specific heat of water using the law of equipartition of energy?

Which of the following statements is $NOT$ true?

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo