Question

Dr O likes to have hot & spicy soup for lunch on summer days. His grad students are puzzled by his explanation that such a meal can keep him cool much better than a glass of ice water. Dr O explains that spice can act as a quick-acting sympathetic agonist, which stimulates prolonged activity of sweat glands. Calculate how much Dr O must sweat to keep his body temperature constant. Assume Dr O ingests 0.5L of soup at 60°C, and of negligible nutritional value. Assume Dr O’s initial body temperature is 37°C. Specific heat capacity of soup is the same as that of water (1cal/g/°C). Latent heat of vaporisation of sweat is the same as that of water (580 cal/g). Show your calculations

Answer 1

heat given by soup=heat taken by sweat to vaporize

let density of soup=1g/cc

mass of soup=.5kg=500g

500*1*(60-37)=mL

Given L=580cal/g

m=19.82g (amount of sweat to maintain constant body temperature)