During illness,an $80 \, kg$ man had a fever of $102.2^\circ F$ instead of his normal body temperature of $98.6^\circ F$. Assuming that the human body is mostly water,how much heat is required to raise his temperature by that amount in $kcal$?

$A$ heater supplying constant power $P$ watts is switched $ON$ at time $t=0$ to raise the temperature of a liquid kept in a calorimeter of negligible heat capacity. $A$ student records the temperature of the liquid $T(t)$ at equal time intervals. $A$ graph is plotted with $T(t)$ on the $Y$-axis versus $t$ on the $X$-axis. Assume that there is no heat loss to the surroundings during heating. Then,

Define molar specific heat and state its $SI$ unit.

Two spheres are made of the same material and have a diameter ratio of $1 : 2$. The ratio of their heat capacities is equal to ......

At which temperature is the specific heat of water minimum (in $^\circ C$)?

The specific heat $C$ of a solid at low temperature shows temperature dependence according to the relation $C = D T^{3}$, where $D$ is a constant and $T$ is the temperature in Kelvin. $A$ piece of this solid of mass $m \ kg$ is taken and its temperature is raised from $20 \ K$ to $30 \ K$. The amount of heat required in the process in energy units is