How Much Energy is Required to Double the Kinetic Energy of Iron Atoms in a Rod?

[roxxyroxx]

Thermal energy question??

Homework Statement

a 500g iron rod has a temp. of 25 degrees C. how much thermal energy must be added to the rod to double the average kinetic energy of the iron atoms?

Homework Equations

EH = mc$$\Delta$$T

The Attempt at a Solution

EH = (0.005 kg)(452 J/kg x $$\circ$$C)
= 56.5 J
but the answer should be 6.73 x 10⁴
help?

 

[Andrew Mason]

Homework Statement

a 500g iron rod has a temp. of 25 degrees C. how much thermal energy must be added to the rod to double the average kinetic energy of the iron atoms?

Homework Equations

EH = mc$$\Delta$$T

The Attempt at a Solution

EH = (0.005 kg)(452 J/kg x $$\circ$$C)
= 56.5 J
but the answer should be 6.73 x 10⁴
help?

You have to show your work completely. '

First of all, how many kg does 500 grams represent?

What temperature does the iron have to reach in order to double its kinetic energy?

AM

 

[nlightner]

I would recommend double checking your calculations and ensuring that all units are consistent. It seems that the correct answer should be 6.73 x 104 J, which is significantly larger than your calculated value. This could be due to an error in the units used or in the equation itself. I would also suggest consulting with a colleague or referring to a reliable source to confirm the correct equation and units for calculating thermal energy.