A pond of water at 0°C is covered with a layer of ice 4.50 cm thick. If the air temperature stays constant at

Question

Specific Heat Capacity and Thermal Conductivity

--------------------------------------------------------------------------------
1. The problem statement, all variables and given/known data

A pond of water at 0°C is covered with a layer of ice 4.50 cm thick. If the air temperature stays constant at -11.0°C, how much time does it take for the thickness of the ice to increase to 9.00 cm?

____________hours

Hint: To solve this problem, use the heat conduction equation,

dQ/dt = kA T/x

and note that the incremental energy dQ extracted from the water through the thickness x is the amount required to freeze a thickness dx of ice. That is, dQ = LA dx, where is the density of the ice, A is the area, and L is the latent heat of fusion. (The specific gravity and thermal conductivity for ice are, respectively, 0.917 is 2.0 W/m/°C.)



2. Relevant equations

Heat conduction equation

Answer 1

dQx/kAT=dt
dQ=LAdx substitute this into previous and ...
LAdx^2/kAT=dt
A cancels and
dt=Ldx^2/kT
x= thickness
T=11K
k=thermal conductivity of Ice
d=density of ice
dt= time

Answer 2

Ya know, dear, it must take you MUCH longer to actually type out all your questions and post them here (where you odds of getting a correct answer are about 1 in 10) than to look them up in your college textbook...

Although I think higher schooling is more of an academic hurdle than anything else, you should at least learn how to manage your time as well as how to find facts.

Answer 3

dude either you have way to much time on your hands and you need to get a life or you are in a school of some sort and trying to get answers to do your homework for you