In: Physics
(II) The heat capacity, \(C\), of an object is defined as the amount of heat needed to raise its temperature by \(1 \mathrm{C}^{\circ}\). Thus, to raise the temperature by \(\Delta \mathrm{T}\) requires heat \(Q\) given by
$$ \mathrm{Q}=\mathrm{C} \Delta \mathrm{T} $$
(a) Write the heat capacity \(C\) in terms of the specific heat, \(c\), of the material.
(b) What is the heat capacity of \(1.0 \mathrm{~kg}\) of water?
(c) Of \(45 \mathrm{~kg}\) of water?