The thermal capacity of $40\, g$ of aluminium (specific heat $= 0.2\, cal/g/^{\circ}C$) is ........ $cal/^{\circ}C$.

$A$ 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:

If some heat is given to a metal of mass $100 \ g$,its temperature rises by $20^{\circ} C$. If the same heat is given to $20 \ g$ of water,the change in its temperature (in $^{\circ} C$) is (The ratio of specific heat capacities of metal and water is $1: 10$).

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?

On which does the heat in a substance depend?

Water is used to cool radiators of engines,because