You are watching: Calculate the one temperature at which fahrenheit and celsius thermometers agree with each other.
What temperature are Fahrenheit and also Kelvin equal to each other? This question is similar to the famous homeoccupational question “When does Celsius equal Fahrenheit?” wbelow the two different temperature scales check out the exact same worth. This instance difficulty not just provides you the answer, it reflects step-by-step just how to resolve the question of “What temperature are Fahrenheit and Kelvin Equal”.
Fahrenheit and also Kelvin are equal at 574.59. In other words 574.59 °F amounts to 574.59 K.
About the Kelvin Temperature Scale
The Kelvin temperature scale, also known as the absolute temperature range, is the SI unit of measuring temperature. The range starts at absolute zero, where molecular energy is at its minimum worth and also rises from that where each unit is identical in dimension to the Celsius degree. The distinction in between Celsius and Kelvin is expressed by the formula:
K = °C + 273.15
whereK = temperature in Kelvin°C = temperature in Celsius
If we settle this for °C, we get
°C = K – 273.15
About the Fahrenheit Scale
Fahrenheit is a temperature range originally used to meacertain a temperature range of real-life points. The zero suggest was the temperature of an equal mix of salt and ice water and also 100 levels above that was the temperature of a human being. Over the years, this temperature range was re-defined so that currently the melting suggest of water ice is 32 °F and the boiling allude of water is 212 °F.
What Temperature Are Fahrenheit and Kelvin Equal?
We have the right to relate Fahrenheit to Kelvin by converting Fahrenheit to Celsius using the formula:
°C = 5⁄9(°F – 32)
wbelow °F and °C are the temperatures in Fahrenheit and also Celsius respectively.
Because these 2 equations equal the same point (°C), they equal each other.
K – 273.15 = 5⁄9(°F – 32)
Now you have actually the formula to transform between Kelvin and Fahrenheit. We desire to know once K = °F, so plug in K for °F in the formula.
K – 273.15 = 5⁄9(K – 32)
Solve for K. First, get rid of the parenthesis
K – 273.15 = 5⁄9K –17.78
Subtract5⁄9K from both sides
K –5⁄9K – 273.15 = 17.78
Add 273.15 to both sides
K –5⁄9K = 17.78 + 273.15
K –5⁄9K = 255.37
9⁄9K –5⁄9K = 255.37
4⁄9K = 255.37
Multiply both sides by9⁄4
K = (255.37)9⁄4
K = 574.59
At 574.59 Kelvin, the Fahrenheit temperature is 574.59 °F.
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Solving this problem isn’t that difficult. It simply requires a small algebra and also knowing just how to convert Kelvin to Fahrenheit.
More Temperature Convariation Examples
If you’d like to check out some various other temperature convariation examples, inspect outConvert Kelvin to Celsius Example ProblemConvert Celsius to Fahrenheit Example ProblemConvert Fahrenheit to Celsius Example Problem