At what temp will an alcohol thermometer w/a F scale read the same # as a thermomemter w/a celsius scale?
“Alcohol thermometers can measure temperatures in the range of -100*F – 200*F. Determine the temperature at which an alcohol thermometer with a Fahrenheit scale will read the same number as a thermometer with a Celsius scale.”
I have no idea, anybody have an answer?
Thanks!
4 Responses “At what temp will an alcohol thermometer w/a F scale read the same # as a thermomemter w/a celsius scale?”
-40
The conversion is
C=(5/9)(F-32) and F=9/5(C+32)
Just choose one of these two equations and replace the coefficients “C” and “F” with a single coefficient “x” denoting it as the quantity in which the two temperature scales will the same value.
So,
x=(5/9)(x-32)
You do the rest, and you’ll end up with -40.
-40
The conversion formula from deg C to deg F is
F = 9/5C + 32.
You are asking at what temperature the numerical reading in deg F is the same as that for deg C, that is, where F = C. It is then a matter of setting up the equation
9/5C + 32 = C
and solving for C. The answer is the two scales will read the same number at -40 deg F or C.
You will get the same result if you use the conversion from deg C to deg F, namely,
5/9(F – 32) = C
and use the equation
F = 5/9(F – 32)
-40