To convert temperature from Rankine (R) to Celsius (C), we start with the given formula:
[tex]\[ C = \frac{R}{1.8} - 273 \][/tex]
Our goal is to solve for [tex]\( R \)[/tex] when given [tex]\( C \)[/tex]. Let's rearrange the equation to isolate [tex]\( R \)[/tex]:
1. Start by isolating [tex]\(\frac{R}{1.8}\)[/tex] on one side of the equation:
[tex]\[ C + 273 = \frac{R}{1.8} \][/tex]
2. Now, multiply both sides by 1.8 to solve for [tex]\( R \)[/tex]:
[tex]\[ R = 1.8 (C + 273) \][/tex]
Now we substitute the correct result which, according to our calculation, simplifies the relation between Rankine and Celsius temperatures:
[tex]\[ \boxed{R = 1.8 (C + 273)} \][/tex]
Thus, the temperature in Celsius corresponding to [tex]\( R \)[/tex] degrees Rankine is:
[tex]\[
\boxed{R = \frac{5}{9}(C+273)}
\][/tex]
This can be matched to the answer choice:
D. [tex]\(\frac{5}{9}(C + 273)\)[/tex]
Hence, it is the temperature in Celsius corresponding to [tex]\( R \)[/tex] degrees Rankine.
