I need some help with this physics homework. It is Physics (8th)cutnell, Chapter
ID: 1726625 • Letter: I
Question
I need some help with this physics homework. It is Physics (8th)cutnell, Chapter 13 Problem 25. It reads as follows.-Multiple-ConceptExample 8 reviews the approach that is used in problems such asthis. A person eats a dessert that contains 220 Calories. (This"Calorie" unit, with a capital C, is the one used by nutritionists;1 Calorie = 4186 J. See Section 12.7.) The skin temperature of theperson is 37.2 °C and that of her environment is 17.2 °C.The emissivity of her skin is 0.75 and its surface area is 1.0m2. How many hours would it take her to emit anet radiant energy from her body that is equal to theenergy contained in this dessert?
Explanation / Answer
from the theory we have the equation
Pnet = e A (T4-To4) and
Pnet = Q / t
on equating we get
t = (Q / Pnet)
= [Q / e A(T4 -To4)]
from the given
Q = (220 C) (4186 J / 1 C)
T = 37.2oC + 273 K
= ......... K
To = 17.2oC + 273 K
= ....... K
solve for t
t = ...... s