Problem: for the below TBP data, answer the following:

a$.$ From the crude distillation data, plot TBP and gravity$-$ mid$-$percent curves.

b$.$ Select TBP cut$-$points of products to be used in internal combustion engines.

c$.$ From TBP and gravity curves, determine percentages and gravities of fractions.

$\backslash$table$[[$Vol $\%$ distilled,T$5,$T$10,$T$20,$T$30,$T$40,$T$50,$T$60,$T$70,$T$80,$T$90],[$TBP $F,102,144,255,344,437,531,623,717,819,897$