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

What is specific heat? Give its unit and on which factors does specific heat depend?

Difficult
View Solution

Thermal capacity of a body depends on

The temperature of $5$ moles of a gas which was held at constant volume was changed from $100^{\circ}C$ to $120^{\circ}C$. The change in internal energy was found to be $80$ Joules. The total heat capacity of the gas at constant volume will be equal to ...... $J/K$.

$A$ $10\, kW$ drilling machine is used to drill a bore in a small aluminium block of mass $8.0\, kg$. How much is the rise in temperature of the block in $2.5$ minutes,assuming $50\, \%$ of power is used up in heating the machine itself or lost to the surroundings? (Specific heat of aluminium $= 0.91\, J\, g^{-1}\, K^{-1}$)

Two spheres made of the same substance have diameters in the ratio $1:2$. Their thermal capacities are in the ratio of:

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