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:

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

Water is used to cool radiators of engines,because

The specific heat capacity of a substance is temperature dependent and is given by the formula $C = kT$,where $k$ is a constant of suitable dimensions in $SI$ units,and $T$ is the absolute temperature. If the heat required to raise the temperature of $1 \ kg$ of the substance from $-73^{\circ} C$ to $27^{\circ} C$ is $nk$,the value of $n$ is. . . . . . [Given: $0 \ K = -273^{\circ} C$.]

What is the value of the specific heat of all substances at absolute zero temperature?

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