Question

Perform the following conversions:

{a) 1.06.'F (the body temperature of many birds) to K and °C
(b) 3410°C (the melting point of tungsten, the highest for any metallic element) to K and CF
(c) 6.1 x 103 K (the surface temperature of the Sun) to °F and 'C

Answer 1

The conversion used for the temperature from Fahrenheit to degree Celsius is:

`^oC=(5)/(9)* (^oF-32)`

The conversion used for the temperature from degree Celsius to Kelvin is:

`K=^oC+273`

(a)
`1.06^oF`

`^oC=(5)/(9)* (^oF-32)`

`^oC=(5)/(9)* (1.06^oF-32)`

`^oC=-17.188`

The temperature in degree Celsius is,
`-17.188^oC`

`K=^oC+273`

`K=-17.188+273`

`K=255.812`

The temperature in Kelvin is, 255.812 K

(b)
`3410^oC`

`^oC=(5)/(9)* (^oF-32)`

`3410^oC=(5)/(9)* (^oF-32)`

`^oF=6106`

The temperature in degree Fahrenheit is,
`6106^oF`

`K=^oC+273`

`K=3410+273`

`K=3683`

The temperature in Kelvin is, 3683 K

(c)
`6.1* 10^3K`

`K=^oC+273`

`6.1* 10^3K=^oC+273`

`^oC=5827`

The temperature in degree Celsius is,
`5827^oC`

`^oC=(5)/(9)* (^oF-32)`

`5827^oC=(5)/(9)* (^oF-32)`

`^oF=10456.6`

The temperature in degree Fahrenheit is,
`10456.6^oF`