a) We go out to sunbathe on a warm summer day. If we soak up 80 British thermal units per hour [BTU/h] of energy, how much will the temperature of 60,000-gram person increase in 1 hour [h] in units of degrees Celsius [°C]? We assume that since our bodies are mostly water they have the same specific heat as water (4.18[J/(g°C)]).

b) The specific heats of aluminum and iron are 0.214 and 0.107 [cal/(g°C)] respectively. If we add the same amount of energy to a cube of each material (of the same mass) and find that the temperature of the aluminum increases by 30 degrees Fahrenheit [°F], how much will the iron temperature increase in degrees Fahrenheit [°F]?