PhysLink.com Logo
Gifts Sale - for science moms, dads & grads
Gifts Sale - for science moms, dads & grads

Question

What is the temperature at which Fahrenheit and Celsius thermometer readings are equal?
Asked by: Hamid A. Khan

Answer

The temperature at which Fahrenheit and Celsius thermometer readings are equal is: - 40 degrees.

Well if you look at the conversion formulas for Celsius to Fahrenheit, or that of Fahrenheit to Celsius, you can manipulate it mathematically to answer this question.

The conversion formula reads:

T(F) = T(C) x 9/5 + 32

this means that the temperature of Fahrenheit equals the temperature of Celsius multiplied by nine / fifths, plus 32 degrees.

If the temperatures are the same then the two 'T's' in the formula should represent the same temperature.

So,

t = t x 9/5 + 32

minus the nine fifths of t from each side to move it to the left of the equation. this leaves:

t - 9t/5 = 32 ------> this leaves: - 4t/5 = 32

so then you multiply each side by - 5/4 to solve for t, and you get t = - 40 degrees!

(by the way, 't' times,(x), nine/fifths equals 9t/5)
Answered by: Dominic Jones, D.B., High School Student


Get $10 OFF glasses at EyeBuyDirect.com

Science Quote

'You cannot hope to build a better world without improving the individuals. To that end each of us must work for his own improvement, and at the same time share a general responsibility for all humanity, our particular duty being to aid those to whom we think we can be most useful.'

Marie Curie
(1867-1934)


All rights reserved. © Copyright '1995-'2017 PhysLink.com