Halliday, Resnick & Walker — Temperature, Heat, and the First Law of Thermodynamics: Problem 25

A certain diet doctor encourages people to diet by drinking ice water. His theory is that the body must burn off enough fat to raise the temperature of the water from $0.00^\circ\text{C}$ to the body temperature of $37.0^\circ\text{C}$. How many liters of ice water would have to be consumed to burn off $454\text{ g}$ (about $1\text{ lb}$) of fat, assuming that burning this much fat requires $3500\text{ Cal}$ be transferred to the ice water? Why is it not advisable to follow this diet? (One liter $= 10^3\text{ cm}^3$. The density of water is $1.00\text{ g/cm}^3$.)