Answer to Question #290215 in Molecular Physics | Thermodynamics for Rena

Question

Calculate the one temperature at which Fahrenheit and Celsius thermometers agree with each other

Answer 1

Formula for Fahrenheit,$F = \frac{9}{5 C + 32}$

Formula for Centigrade, $C =\frac{5}{9 (F-32)}$

Let F = C or C= F

$F= C=\frac{ 5}{9(F-32)}=\frac{ (5F-160)}{9}$

9F= 5F - 160

9F - 5F = -160

4F = -160

F = $-\frac{160}{4}$

F= -40 degree answer in Fahrenheit

C= F= $\frac{9}{5 C + 32}$

C = $\frac{(9C + 160)}{5}$

5C = 9C + 160

5C - 9C = 160

-4C= 160

C=$\frac{160}{-4}$

C= -40 degree answer in Centigrade

Conclusion: The temperature wherein degrees centigrade is the same in degrees Fahrenheit is -40 degrees .