Question

question 7 (mandatory) (1 point) saved
the formula ( k=\frac{5 f}{9}+255 ) can be used to convert degrees fahrenheit, ( f ), to degrees kelvin, ( k ).
determine the kelvin equivalent of ( 72^{circ} mathrm{f} ).
( \bigcirc ) a) ( 40^{circ} mathrm{k} )
( \bigcirc ) b) ( 295^{circ} mathrm{k} )
( \bigcirc ) c) ( 290^{circ} mathrm{k} )
( \bigcirc ) d) ( 385^{circ} mathrm{k} )

Explanation:

Step1: Substitute \(F = 72\) into the formula

Given \(K=\frac{5F}{9}+255\), substitute \(F = 72\). So we have \(K=\frac{5\times72}{9}+255\).

Step2: Calculate \(\frac{5\times72}{9}\)

First, calculate \(5\times72 = 360\). Then \(\frac{360}{9}=40\).

Step3: Calculate \(K\)

Now \(K = 40+255\).

Answer:

\(K=295^{\circ}K\), so the answer is B.