gracieperryman03 gracieperryman03
  • 19-03-2020
  • Physics
contestada

two thermometers are calibrated one in degrees celsius and the other in degrees fahrenheit. at what temperature are their readings the same?

Respuesta :

aristocles aristocles
  • 01-04-2020

Answer:

Both scales will read temperature at -40 degree C or - 40 degree F

Explanation:

As we know that two temperature scales are defined as

[tex]\frac{T_c - 0}{100 - 0} = \frac{T_f - 32}{212 - 32}[/tex]

here we know that two temperature scales will read same values

so we will have

[tex]T_f = T_c = x[/tex]

here we have

[tex]\frac{x}{100} = \frac{x - 32}{180}[/tex]

[tex]1.8 x = x - 32[/tex]

[tex]x = -40 ^o C[/tex]

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