14.2 Temperature Change and Heat Capacity

If 25 kJ is necessary to raise the temperature of a block from $\text{25}º\text{C}$ to $\text{30}º\text{C}$, how much heat is necessary to heat the block from $\text{45}º\text{C}$ to $\text{50}º\text{C}$?

On a hot day, the temperature of an 80,000-L swimming pool increases by $1 . \text{50}º\text{C}$. What is the net heat transfer during this heating? Ignore any complications, such as loss of water by evaporation.

To sterilize a 50.0-g glass baby bottle, we must raise its temperature from $\text{22} . 0 º\text{C}$ to $\text{95} . 0º \text{C}$. How much heat transfer is required?

Rubbing your hands together warms them by converting work into thermal energy. If a woman rubs her hands back and forth for a total of 20 rubs, at a distance of 7.50 cm per rub, and with an average frictional force of 40.0 N, what is the temperature increase? The mass of tissues warmed is only 0.100 kg, mostly in the palms and fingers.

Suppose identical amounts of heat transfer into different masses of copper and water, causing identical changes in temperature. What is the ratio of the mass of copper to water?

Following vigorous exercise, the body temperature of an 80.0-kg person is $\text{40} . 0º \text{C}$. At what rate in watts must the person transfer thermal energy to reduce the the body temperature to $\text{37} . 0º \text{C}$ in 30.0 min, assuming the body continues to produce energy at the rate of 150 W? $\left(\text{1 watt }=\text{ 1 joule}/\text{second or 1 W }=\text{ 1 J}/\text{s} \right)$.