a. The formula F=95(K−273.15)+32 converts a temperature from Kelvin K to Fahrenheit F. Solve the formula for K.

K= this is solved

b. Convert 240∘ F to Kelvin K. Round your answer to the nearest hundredth.

240∘F ≈ __ Kelvin

Respuesta :

The value of temperature in Kelvin K which has the value 240 degree in Fahrenheit F is 275 K.

How to convert a temperature from Kelvin?

The formula to convert a temperature from Kelvin K to Fahrenheit F is,

[tex]F=95(K-273.15)+32[/tex]

Here, K is Kelvin and F is Fahrenheit.

Solve the formula for K in the following way,

[tex]F=95(K-273.15)+32[/tex]

Subtract 32 both side,

[tex]F-32=95(K-273.15)+32-32\\F-32=95(K-273.15)[/tex]

Divide, with 95, both side of equation,

[tex]\dfrac{F-32}{95}=(K-273.15)\\\dfrac{F-32}{95}=K-273.15\\\dfrac{F-32}{95}+273.15=K[/tex]

This is the solved equation for K.

To convert 240∘ F to Kelvin K, put the value in the formula given in above equation,

[tex]\dfrac{F-32}{95}+273.15=K\\\dfrac{240-32}{95}+273.15=K\\\dfrac{208}{95}+273.15=K\\2.12+273.15=K\\275.27=K\\K\approx 275[/tex]

Thus, the value of temperature in Kelvin K which has the value 240 degree in Fahrenheit F is 275 K.

Learn more about the temperature measurement here;

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