The specific heat of a substance varies with temperature as $c = 0.20 + 0.14t + 0.023t^2 \, (cal/g \cdot ^\circ C)$. The amount of heat required to raise the temperature of $2 \, g$ of the substance from $5 \, ^\circ C$ to $15 \, ^\circ C$ is: (in $, cal$)

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

Is the molar specific heat of a solid a constant value? Explain.

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

$A$ 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:

Is the specific heat of water greater than that of sand?