A pan of water is heated from 23◦C to 86◦C. What is the change in temperature on the Kelvin scale and on the Fahrenheit scale?  

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The formula to change Celsius to Kelvin is K = C + 273.15.  If you are talking about the number of degrees in the difference of temperatures, there is 63 degrees difference between 86 degrees Celsius and 23 degrees Celsius.  63 + 273.15 would equal 336.15 degrees difference, Kelvin.  If you are simply talking about converting the high temperature, which was 86 degrees Celsius, to Kelvin, 86 + 273.15 = 359.15 degrees, Kelvin.

To change Celsius to Fahrenheit is a little harder.  The formula is F = (C x 9/5) + 32.  If you are talking about the difference between the two Celsius temperatures, it would be this:  (63 x 9/5) + 32 = 145.4 degrees, Fahrenheit.  If you are talking about the new high temperature, it would be this:  (86 x 9/5) + 32 = 186.8 degrees, Fahrenheit.

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