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QuestionConvert −17.1∘F-17.1^{\circ} \mathrm{F} to kelvins. Include the unit symbol in your final answer.

Studdy Solution

STEP 1

Assumptions1. The temperature given is in Fahrenheit. The conversion from Fahrenheit to Celsius is given by the formula C=(−32)×59C = ( -32) \times \frac{5}{9}
3. The conversion from Celsius to Kelvin is given by the formula K=C+273.15K = C +273.15

STEP 2

First, we need to convert the temperature from Fahrenheit to Celsius using the formulaC=(−32)×59C = ( -32) \times \frac{5}{9}

STEP 3

Now, plug in the given value for the temperature in Fahrenheit to calculate the temperature in Celsius.
C=(−17.1−32)×59C = (-17.1 -32) \times \frac{5}{9}

STEP 4

Calculate the temperature in Celsius.
C=(−17.1−32)×9=−27.28∘CC = (-17.1 -32) \times \frac{}{9} = -27.28^{\circ}C

STEP 5

Now that we have the temperature in Celsius, we can convert this to Kelvin using the formulaK=C+273.15K = C +273.15

STEP 6

Plug in the calculated value for the temperature in Celsius to calculate the temperature in Kelvin.
K=−27.28+273.15K = -27.28 +273.15

STEP 7

Calculate the temperature in Kelvin.
K=−27.28+273.15=245.87KK = -27.28 +273.15 =245.87 KThe temperature is245.87 K.

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