On which factors does the heat capacity depend?

$100 \ g$ of water is heated from $30^\circ C$ to $50^\circ C$. Ignoring the slight expansion of the water,the change in its internal energy is .......$kJ$ (specific heat of water is $4184 \ J/kg/K$):

$A$ 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:

Why are the winds coming from the sea cool in summer?

The density of a material $A$ is $1500 \ kg/m^3$ and that of another material $B$ is $2000 \ kg/m^3$. It is found that the heat capacity of $8$ volumes of $A$ is equal to the heat capacity of $12$ volumes of $B$. The ratio of specific heats of $A$ and $B$ will be

$50\,g$ of copper is heated to increase its temperature by $10\,^{\circ}C$. If the same quantity of heat is given to $10\,g$ of water,the rise in its temperature is ........ $^{\circ}C$. (Specific heat of copper $= 420\,J\,kg^{-1}\,^{\circ}C^{-1}$,Specific heat of water $= 4200\,J\,kg^{-1}\,^{\circ}C^{-1}$)