What Is the Bath Temperature When Gold Wire Resistance Increases?

AI Thread Summary
The resistance of a gold wire increases from 79 ohms at 30°C to 165 ohms in a liquid bath. The temperature coefficient is 0.0034/C at 20°C, leading to the equation: 165 = 79 * (1 + 0.0034 * (T_final - 30)). The calculated final temperature is approximately 350.18°C. Despite this calculation, the submission was marked incorrect, raising concerns about potential errors in the homework service.
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Homework Statement



At 30±C, the resistance of a segment of gold wire is 79 ohms*.
When the wire is placed in a liquid bath,
the resistance increases to 165 *ohms.
The temperature coefficient is 0.0034/C at 20 degrees Celcius.
What is the temperature of the bath? An-
swer in units of C.

Homework Equations



Resistance = R(initial)[1+ alpha (T(final) - T(initial)]

The Attempt at a Solution



165 = 79 * ( 1 + .0034 * (T_final - 30) )

T_final = 350.1787


I'm submitting this and it's saying I'm wrong. Is the homework service in error?
 
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The relevant equation is correct.

The answer is correct for the given inputs.
 

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