How much energy in $kJ$ is required to heat $5 \, kg$ of water from $20^oC$ to its boiling point? (Specific heat of water = $4.2 \, kJ \, kg^{-1} \, ^oC^{-1}$)

The ratio of the heat capacities of two bodies is $1:4$. If the rate of heat loss is the same for both bodies under similar environmental conditions,then the ratio of the rate of fall of their temperatures is:

On which factors does the heat capacity depend?

On what factors does the required amount of heat depend to heat a given substance?

Derive the equation for the molar specific heat capacity of solids.

The specific heat of a substance at temperature $T^{\circ}C$ is given by $C = \alpha T^2 + \beta T + \gamma$. The amount of heat required to raise the temperature of a mass $m \, g$ of the substance from $0^{\circ}C$ to $T_o^{\circ}C$ is .......