Answer:
The temperature in Kelvin corresponding to F degrees Fahrenheit is [tex]K=\frac{F-32}{95}+273[/tex]
Step-by-step explanation:
Given : One can convert temperature from Kelvin into Fahrenheit using the formula [tex]F=95(K-273)+32[/tex].
To find : What is the temperature in Kelvin corresponding to F degrees Fahrenheit?
Solution :
Temperature from Kelvin into Fahrenheit is given by,
[tex]F=95(K-273)+32[/tex]
Writing Kelvin in terms of Fahrenheit,
Subtract 32 both side,
[tex]F-32=95(K-273)[/tex]
Divide by 95 both side,
[tex]\frac{F-32}{95}=K-273[/tex]
Add 273 both side,
[tex]\frac{F-32}{95}+273=K[/tex]
Therefore, The temperature in Kelvin corresponding to F degrees Fahrenheit is [tex]K=\frac{F-32}{95}+273[/tex]
