Resistance depending on temperature

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Homework Help Overview

The problem involves determining the temperature of a liquid bath based on the change in resistance of a gold wire. The resistance values at two different temperatures and the temperature coefficient for gold are provided.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the calculations involving resistance and temperature, questioning the correctness of significant figures and the application of the temperature coefficient formula.

Discussion Status

The discussion is ongoing, with participants exploring the significance of significant figures in their calculations and considering the implications of the temperature coefficient's precision. There is no explicit consensus on the correct approach or answer yet.

Contextual Notes

Participants are examining the impact of significant figures on their answers, particularly in relation to the temperature coefficient provided for gold.

lilaznjewel
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Homework Statement



At 30.3C, the resistance of a segment of gold
wire is 124.9 omega When the wire is placed in a
liquid bath, the resistance decreases to 97.5 omega
What is the temperature of the bath?
The temperature coefficient for gold is
0.0034 (C)−1 at 20C.
Answer in units of C.


Homework Equations



used R=Ro[1+alpha(t-to)

The Attempt at a Solution



I got -34.2, but the homework says its incorrect
 
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Hmm. The numbers look okay to me. Did you include the units when you answered?
 
gneill said:
Hmm. The numbers look okay to me. Did you include the units when you answered?

yes do you think it could be wrong because of sigfigs so it be -34.22
 
How many significant figures do each of the provided numbers have?
 
To has 3
Ro has 4
R has 3
alpha has 4
 
Check http://www.usca.edu/chemistry/genchem/sigfig.htm" .
 
Last edited by a moderator:
ok i put in -34.22 but, it is still wrong
 
-34.22 has four significant figures. The temperature coefficient has fewer.
 
I'm getting something else ... its less than your answer

why not use the temp you got and find the resistance and match it with 124.9 ohm
 
  • #10
I don't really understand what you are trying to say
 
  • #11
The provided temperature coefficient for gold has two significant figures. Did you try your result with two significant figures?
 

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