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College Physics (Urone)
Found in: Page 470

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Short Answer

A tungsten light bulb filament may operate at 2900 K. What is its Fahrenheit temperature? What is this on the Celsius scale?

We get the corresponding temperature in Fahrenheit is 4760°Fand in Celcius is 2600℃.

See the step by step solution

Step by Step Solution

Step 1: Relation between Kelvin and Fahrenheit scale

We can find Fahrenheit temperature from Kelvin temperature by the given equation,

T(°F)=95[TK-273.15]+32

Step 1: Relation between Kelvin and Fahrenheit scale

The temperature in Kelvin is given,

T(K)=2900K

Adding this to the equation,

T(°F)=95(2900-273.15)+32T(°F)=95×2626.85+32T(°F)=4728.33+32T(°F)=4760.33

So. 4760.33°F is the Fahrenheit temperature equal to the Kelvin scale temperature of 2900 K.

Step 2: Relation between Kelvin and Celcius scale

Kelvin scale related to Celcius scale temperature through the equation,

T(°C)=T(K)-273.15T(°C)=2900-273.15T(°C)=2626.85

So, the temperature on the Celcius scale is, or approximately equal to 2600°C

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