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Answer :
Final answer:
The wire is made of Copper and its resistance at 150°C is 98.6 ohms.
Explanation:
The material of the wire can be determined by analyzing its characteristics such as length, diameter, and resistance. In this case, the wire is 25.0 m long with a diameter of 0.100 mm and a resistance of 77.7 ohms at 20.0°C. By comparing these values with the known properties of different materials, we can conclude that the wire is made of Copper.
To find the resistance of the wire at 150°C, we can use the formula:
R2 = R1 * (1 + α * (T2 - T1))
where R1 and R2 are the resistances at temperatures T1 and T2 respectively, and α is the temperature coefficient of resistance for the material. The temperature coefficient of resistance for Copper is approximately 0.00393 1/°C. Plugging in the values, we get:
R2 = 77.7 * (1 + 0.00393 * (150 - 20)) = 98.6 ohms
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