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(b) Calculate the one temperature at which Fahrenheit and Kelvin thermometers agree with each other
20. Heat and Temperature
Temperature
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The tungsten filaments inside of most incandescent lightbulbs reach temperatures of about 4580°F when the lightbulbs are lit. What is this temperature in a) Celsius and b) Kelvin?
A
a) 2527°C
b) 2785 K
b) 2785 K
B
a) 8276°C
b) 8549 K
b) 8549 K
C
a) 2527°C
b) 2800 K
b) 2800 K
D
a) 4853°C
b) 2728 K
b) 2728 K
Verified step by step guidance1
Start by converting the given temperature from Fahrenheit to Celsius using the formula: \( C = \frac{5}{9} (F - 32) \). Substitute 4580°F into the formula.
Calculate the intermediate value by subtracting 32 from 4580, which gives you 4548.
Multiply the result from the previous step by \( \frac{5}{9} \) to convert the temperature to Celsius.
To convert the temperature from Celsius to Kelvin, use the formula: \( K = C + 273.15 \). Add 273.15 to the Celsius temperature obtained in the previous step.
Verify the conversion by checking if the calculated values match the given correct answers: a) 2527°C and b) 2800 K.
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