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18 December, 12:45

At what temperature would the centigrade and Kelvin scales give similar readings

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  1. 18 December, 15:04
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    The formulas for converting between degree Celsius and degree Fahrenheit are:

    °F = (°C * 9/5) + 32

    °C = (°F - 32) * 5/9

    To find the temperature when both are equal, we use an old algebra trick and just set ºF = ºC and solve one of the equations.

    °C = (°C * 9/5) + 32

    °C - (°C * 9/5) = 32

    -4/5 * °C = 32

    °C = - 32 * 5/4

    °C = - 40

    °F = (°F * 9/5) + 32

    °F - (°F * 9/5) = 32

    -4/5 * °F = 32

    °F = - 32 * 5/4

    °F = - 40

    So the temperature when both the Celsius and Fahrenheit scales are the same is - 40 degrees

    Have a nice day!
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