Respuesta :

465 K=191.85 C

465 K=377.33 F

Fahrenheit has a greater value

Answer:

465 K= 191.85 C        

465 K= 377.33 F

Step-by-step explanation:

Given : For the temperature 465 K.

To find : Is the Fahrenheit or Celsius equivalent the greater value?

Solution :

Converting 465 K into Celsius and Fahrenheit,

1) The relationship between Kelvin and Celsius,

[tex]K=273.15+C[/tex]

For, 465 K into C

[tex]465=273.15+C[/tex]

[tex]C=465-273.15[/tex]

[tex]C=191.85[/tex]

So, 465 K= 191.85 C

2) The relationship between Kelvin and Fahrenheit,

[tex]K=273.15+\frac{5}{9}(F-32)[/tex]

For, 465 K into F

[tex]465=273.15+\frac{5}{9}(F-32)[/tex]

[tex]\frac{5}{9}(F-32)=465-273.15[/tex]

[tex]\frac{5}{9}(F-32)=191.85[/tex]

[tex]F-32=\frac{191.85\times 9}{5}[/tex]

[tex]F-32=345.33[/tex]

[tex]F=345.33+32[/tex]

[tex]F=377.33[/tex]

So, 465 K= 377.33 F

As clearly, 377.33 F is greater than 191.85 C.

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