Not sure what the initial temperature is

In summary, the question asks for the temperature at which aluminum will have a resistivity three times that of tungsten at room temperature. Using the equation Rt = R0 * (1 + α * ΔT) and given values of Rt, R0, and α, it is possible to solve for the change in temperature (ΔT) using the assumption that the initial temperature is 20 degrees Celsius. However, it is unclear what the exact definition of "room temperature" is in this problem.
  • #1
Gemy4
16
0

Homework Statement



At what temperature will aluminum have a resistivity that is three times the resistivity of tungsten at room temperature?

Rt=5.6 X 10^-8 ohm*m (The resistivity coefficient of tungsten at 20 degrees celcius)
R0=1.59 x 10^-8 ohm*m (The resistivity coefficient of silver at 20 degrees celcius)
α =3.9 X 10^-3 degrees celsius ^- 1 (Temperature coefficient of resistivity for aluminum)

ΔT= Tf-Ti

I am not sure what the initial temperature is, I assume its 20 degrees celcius.

Homework Equations


Rt = R0 * ( 1 + α * ΔT)

The Attempt at a Solution



3Rt = R0 * ( 1 + α * ΔT)I get 11.42 degrees celsius which is wrong?
 
Last edited:
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  • #2


Gemy4 said:

Homework Statement



At what temperature will aluminum have a resistivity that is three times the resistivity of tungsten at room temperature?

Rt=5.6 X 10^-8
R0=1.59 x 10^-8
α =3.9 X 10^-3
Room temperature = 20 C*

Homework Equations


Rt = R0 * ( 1 + α * ΔT)


The Attempt at a Solution



(3)Rt = R0 * ( 1 + α * ΔT)


I get 11.42 degrees celsius which is wrong?

Could you please define each of the terms that you're using, and include units on everything?
 
  • #3


Sorry edited
 
  • #4


Gemy4 said:
Sorry edited

That helps, but you define Rt as two different things (a bit confusing), and the units of resistivity are not Ohm/m.

Does the problem define "room temperature"? 20C is a little low for the room temperature number that I usually use...
 
  • #5


Ok Thank you.
 

FAQ: Not sure what the initial temperature is

1. What do you mean by "initial temperature"?

The initial temperature refers to the starting temperature of a system or object before any changes or interventions are made.

2. Why is it important to know the initial temperature?

Knowing the initial temperature is important because it serves as a baseline for comparison and allows for accurate analysis of any changes or effects that occur.

3. How can one determine the initial temperature?

The initial temperature can be determined through various methods such as using a thermometer, measuring equipment, or by recording the temperature at a specific time before any changes are made.

4. Can the initial temperature change over time?

Yes, the initial temperature can change over time if there are any external factors or interventions that affect the system or object.

5. How can uncertainty in the initial temperature affect experimental results?

Uncertainty in the initial temperature can significantly impact experimental results as it can lead to inaccurate conclusions or findings. It is crucial to minimize uncertainty and accurately determine the initial temperature for reliable results.

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