1) What is the density of water vapor in g/m3 on a hot dry day in the desert when the temperature is 40.0°C and the relative humidity is 16.0%?

2) If the relative humidity is 84.0% on a muggy summer morning when the temperature is 20.0°C, what will it be later in the day when the temperature is 30.0°C, assuming the water vapor density remains constant?

3) On a certain day, the temperature is 30.0°C and the relative humidity is 88.0%. How many grams of water must condense out of each cubic meter of air if the temperature falls to 15.0°C. Such a drop in temperature can, thus, produce heavy dew or fog.

4) 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 22 rubs, at a distance of 7.00 cm per rub, and with an average frictional force of 48.0 N, what is the temperature increase? The mass of tissues warmed is only 0.110 kg, mostly in the palms and fingers.

5) The number of kilocalories in food is determined by calorimetry techniques in which the food is burned and the amount of heat transfer is measured.
a) How many kilocalories per gram are there in a 3.03-g walnut if the energy from burning it is transferred to 0.420 kg of water held in a 0.092-kg aluminum cup, causing a 45.7°C temperature increase?
b) If a serving of walnut consists of 16.0-g, how many kcal is consumed per serving? (Note: Food packaging energy content is labeled as "Cal" which is equivalent to "kcal".)