When $300 \, J$ of heat is given to a body of mass $25 \, g$,its temperature rises from $25^{\circ}C$ to $45^{\circ}C$. What are the heat capacity and specific heat capacity,respectively?

The specific heat of a metal at low temperatures varies according to $S = aT^3$,where $a$ is a constant and $T$ is the absolute temperature. The heat energy needed to raise unit mass of the metal from $T = 1 \ K$ to $T = 2 \ K$ is:

On what factors does the required amount of heat depend to heat a given substance?

Why is water used as a coolant in automobile radiators?

On what does the heat required to increase the temperature of a substance depend?

$A$ current-carrying wire heats a metal rod. The wire provides a constant power $(P)$ to the rod. The metal rod is enclosed in an insulated container. It is observed that the temperature $(T)$ in the metal rod changes with time $(t)$ as:
$T(t) = T_0(1 + \beta t^{1/4})$
where $\beta$ is a constant with appropriate dimensions,while $T_0$ is a constant with the dimension of temperature. The heat capacity of the metal is: