Question

A study showed the average basal metabolic rate of a human to be about 1500 kcal/day (6279 kJ/day). If it were possible to construct a bathtub in which there was no loss of heat to the surroundings, and the tub contained 25 gallons of 23 C water, what would be the final temperature of the water after an average human immersed their body in the water for 2 hours?

Answer 1

Answer:

T_f = 24.32 degree celcius

Explanation:

given details:

Q = 6279 kJ/day

V = 25 gal

T = 23°C

we know that heat released can be written as

$Q = m*Cp*(T_f -T_i)$

Q = 6279 kJ/24 h *2h = 523.25 kJ

V = 25 gal = 94.6353 l tr

density of water is 1 kg/cm3

so, m = 94.65 kg

then

523.25 = 94.65*4.18* (T_f - 23)

T_f = 24.32°C