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(c) Calculate the resistance of the heating element at 20.0°C. 32.38 x Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. (d) Derive a relationship between the diameter of the wire, the resistivity at 20.0°C, Po, the resistance at 20.0°C, Ro, and the length L. (Do not substitute numerical values; use variables only.) 4pL лR d = X (e) If L = 3.00 m, what is the diameter of the wire? 4.20E-4 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. mm

(c) Calculate the resistance of the heating element at 20.0°C. 32.38 x Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. (d) Derive a relationship between the diameter of the wire, the resistivity at 20.0°C, Po, the resistance at 20.0°C, Ro, and the length L. (Do not substitute numerical values; use variables only.) 4pL лR d = X (e) If L = 3.00 m, what is the diameter of the wire? 4.20E-4 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. mm

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An office worker uses an immersion heater to warm 397 g of water in a light, covered, insulated cup from 20°C to 100°C in 5.00 minutes. The heater is a Nichrome resistance wire connected to a 120-V power supply. Assume that the wire is at 100°C throughout the 5.00-min time interval. (a) Calculate the average power required to warm the water to 100°C in 5.00 min. (The specific heat of water is 4186 J/kg • °C.) 443 W (b) Calculate the required resistance in the heating element at 100°C. 32.49 2 (c) Calculate the resistance of the heating element at 20.0°C. 32.38 X Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. (d) Derive a relationship between the diameter of the wire, the resistivity at 20.0°C, Po, the resistance at 20.0°C, Ro, and the length L. (Do not substitute numerical values; use variables only.) 4pL VTR d = 0 X (e) If L = 3.00 m, what is the diameter of the wire? 4.20E-4 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. mm
Transcribed Image Text:An office worker uses an immersion heater to warm 397 g of water in a light, covered, insulated cup from 20°C to 100°C in 5.00 minutes. The heater is a Nichrome resistance wire connected to a 120-V power supply. Assume that the wire is at 100°C throughout the 5.00-min time interval. (a) Calculate the average power required to warm the water to 100°C in 5.00 min. (The specific heat of water is 4186 J/kg • °C.) 443 W (b) Calculate the required resistance in the heating element at 100°C. 32.49 2 (c) Calculate the resistance of the heating element at 20.0°C. 32.38 X Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. (d) Derive a relationship between the diameter of the wire, the resistivity at 20.0°C, Po, the resistance at 20.0°C, Ro, and the length L. (Do not substitute numerical values; use variables only.) 4pL VTR d = 0 X (e) If L = 3.00 m, what is the diameter of the wire? 4.20E-4 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. mm
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