The temperature at which the same value is indicated on both Fahrenheit and Celsius thermometers is (a) 20° (b) -20° (c) 40º (d ) -10° (e) none of these

Respuesta :

Answer:

(e) none of these t=-40° C

Explanation:

There are different types of temperature scales: Celsius (C) and Kelvin (K) is the unit of measure for the international measurement system for relative and absolute temperature respectively, while Farenheit (F) and Rankine (R) is the unit of measure for the English measurement system for relative and absolute temperature respectively.

To solve this exercise we must use the conversion formula from Celsius to Farenheit and equalize the temperatures in a new variable called t as shown below.

[tex]F=\frac{9C}{5} +32\\t=\frac{9t}{5} +32 -solving for" t"\\\frac{9t}{5} -t=-32\\t(\frac{9}{5} -1)=-32\\\\t=\frac{-32}{\frac{9}{5}-1 } =-40C\\[/tex]

the answer is -40° C