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Two thermometers are calibrated, one in degrees Celsius and the other in degrees Fahrenheit.
At what temperature are their readings numerically the same?
Answer in units of K.

Respuesta :

mberisso

Answer:

The temperature is 233.15 K

Explanation:

Recall the formula to convert degree Celsius (C) into Fahrenheit (F):

[tex]\frac{9}{5} C+32=F[/tex]

So if we want the value of degree C to be the same as the value of the degree F, we want the following: C = F

which replacing F with C on the right hand side of the equation above, allows us to solve for C:

[tex]\frac{9}{5} C+32=F\\\frac{9}{5} C+32=C\\\frac{9}{5} C-\frac{5}{5} C =-32\\\frac{4}{5} C==32\\C= \frac{-32\,*\,5}{4} \\C=-40[/tex]

This means that -40°C = -40°F

And this temperature in Kelvin is:

-40°C + 273.15 = 233.15 K

The temperature that represents the readings numerically the same should be 233.15K.

Calculation of  the temperature:

We know that

9/5C + 32 = F

So,

9/5C + 32 = F

9/5C + 32 = C

9/5C - 5/5 C = -32

4/5C = 32

C = -32*5/4

= -40

So, here the temperature should be

= -40C + 273.15

= 233.15

Learn more about temperature here: https://brainly.com/question/22058338

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