Question

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

a.solve the formula for k
b. convert 180 degrees Fahrenheit(F) into kelvin(K). round your answer to the near test hundredth.

Answer 1

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

Solve

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

Answer 2

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