To convert joules to BTUs, we use the fact that 1 Joule is approximately equal to 0.000947817 BTUs. Here's a step-by-step approach to solve this:
1. Start with the given quantity in joules:
[tex]\[
\text{Joules} = 96,745 \, \text{J}
\][/tex]
2. Use the conversion factor between joules and BTUs, which is:
[tex]\[
1 \, \text{Joule} = 0.000947817 \, \text{BTUs}
\][/tex]
3. Multiply the amount in joules by the conversion factor to find the equivalent amount in BTUs:
[tex]\[
96,745 \, \text{J} \times 0.000947817 \, \text{BTUs/J} = 91.696555665 \, \text{BTUs}
\][/tex]
Therefore, 96,745 joules is equal to approximately 91.697 BTUs when rounded to three decimal places or exactly 91.696555665 BTUs without rounding.
