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Licemer1 [7]
3 years ago
13

The formula F=9/5(k-273.15)+32 converts a temperature from kelvin K to degrees Fahrenheit F.

Mathematics
2 answers:
Bezzdna [24]3 years ago
6 0

Step One

Subtract 32 from both sides.

F - 32 = 9/5(k - 273.15)  

Step Two

Multiply by 5/9 on both sides.

5/9*(F - 32) = 5/9 * 9/5 (k - 273.15)

5/9*(F - 32) = k - 273.15

Step Three.

Add 273.15 to both sides.

5/9*(F - 32) + 273.15 = k

Problem B

F = 180

<em><u>Solve</u></em>

5/9*(F - 32) + 273.15 = k

5/9*(180 -32) + 273.15 = k

5/9*148 + 273.15 = k

82.2222 + 273.15 = k

355.37 = k

k = 355.4   <<< Answer

Ivanshal [37]3 years ago
4 0

Answer :

(a) K=\frac{5}{9}\times (^oF-32)+273.15

(b) The temperature in Kelvin is 355.37 K

Step by step explanation :

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

^oF=\frac{9}{5}\times (K-273.15)+32

where,

^oF = temperature in Fahrenheit

K = temperature in Kelvin

(a) The formula for kelvin (K) will be:

^oF=\frac{9}{5}\times (K-273.15)+32

^oF-32=\frac{9}{5}\times (K-273.15)

\frac{5}{9}\times (^oF-32)=(K-273.15)

Thus, the formula will be:

K=\frac{5}{9}\times (^oF-32)+273.15

(b) Now convert 180^oF into Kelvin (K).

K=\frac{5}{9}\times (^oF-32)+273.15

K=\frac{5}{9}\times (180-32)+273.15

K=355.37

Thus, the temperature in Kelvin is 355.37 K

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