How Much Energy is Conducted Through a Copper Pipe?

[robip]

Homework Statement

I have to find the energy removed through conduction from a copper pipe.
Pipe Inner Diameter (Din): 8mm
Pipe Wall Thickness (Dout): 1mm
Thermal Conductivity (k): 401W/m.K
Temp inside pipe -150C, Outside 30C
Length (L)=1m

Homework Equations

The Equation I used was as follows:
(Tout - Tin)/R=Q/s
Where R= ln(Dout/Din)/2.PI.k.L

The Attempt at a Solution

I ended up getting approximately 2050kW
Which too me seemed a bit high... Would just like someone else to validate I did everything correct.

Thanks

 

[Jhero]

for sharing your attempt at finding the energy removed through conduction from the copper pipe. Your approach and calculations seem to be correct. However, to validate your answer, you can also use the heat transfer equation:

Q = k*A*(Tout-Tin)/L

Where Q is the heat transfer rate (in Watts), k is the thermal conductivity of copper (401 W/m.K), A is the surface area of the pipe (calculated from the inner diameter and length), and L is the length of the pipe (1m). Plugging in the given values, we get:

Q = 401 * (π*0.008^2/4) * (30-(-150)) / 1 = 2050 W

Your answer of 2050 kW seems to be off by a factor of 1000. So, the correct answer would be 2.05 kW or 2050 W. This seems to be a more reasonable value for the energy removed through conduction from a copper pipe. Good job on your calculations!