- #1
alivedude
- 58
- 5
Homework Statement
A boll of iron with the volume ##V=\frac{4 \pi 0.01^3}{3}## heats up to 1073 K in a chamber with vacuum, how long will it take until the iron is at 1063 K? The given data is this:
##\rho_{iron} = 7870 kg/m^3##
specific heat.. ##c_i = 0.5 \cdot 10^3 J/(kg \cdot K)##
Homework Equations
Newtons law of cooling: ##T(t)=(T_1-T_0)e^{-\frac{k}{c}t}+T_0##
The Attempt at a Solution
Im stuck with that ##k## in the exponential. I know how to use the differential equation but i can't solve for ##t## as long as i have that unknown ##k## there, right? Can I approximate it or something?
Can I do something else? Since they give me the volume and density I'm thinking that maybe i should go with some other approach?