Suppose that the rod in Fig. 17.24a is made of copper, is 45.0 cm long, and has a cross-sectional area of 1.25 cm^2 . Let TH = 100.0°C and TC = 0.0°C. (a) What is the final steady-state temperature gradient along the rod?

Video transcript

Welcome back everybody. We have a craftsman that is fabricating a bar here a aluminum bar. Let me just draw out our aluminum bar real quick. We are told that the length of this bar is 50 centimeters or 500.5 m and we are also told that it is transferring water From a reservoir where the water is 100°C to a reservoir where the water is 25°C. And we need to determine the steady state temperature gradient of the bar. Well, we have a formula for this. We have that the steady state gradient is equal to the change in temperature over the length here. Now, do we need to be dealing in Celsius? Do we need to be dealing with kelvin? Well, it's not gonna matter because the difference between the two temperatures is gonna be the same in Celsius or kelvin. The change in temperature is just 75 degrees Celsius or 75 degrees kelvin over the length of the bar, which is 750.5. Giving us a final answer of 100 and 50 kelvin's per meter or responding to our answer choice of B. Thank you all so much for watching. Hope this video helped. We will see you all in the next one