CHEMISTRYA temperature scale that never quite caught on was formulated by the Austrian chemist Johann Sebastian Farblunget. The reference points on this scale were $0 ^ \circ {FB}$, the temperature below which Farblunget’s postnasal drip began to bother him, and $1000 ^ \circ {FB}$, the boiling point of beer. Conversions between $^ \circ {C}$ and $^ \circ {FB}$ can be accomplished with the expression $T\left(^{\circ} \mathrm{C}\right)=0.0940 T\left(^{\circ} \mathrm{FB}\right)+4.00$ Louis Louis, Farblunget’s French nephew, attempted to follow in his uncle’s footsteps by formulating his own temperature scale. He defined the degree Louie using as reference conditions the optimum serving temperature of marinated snails ($100^{\circ} \mathrm{L}$ corresponding to $15^{\circ} \mathrm{C}$) and the temperature at which the elastic in his briefs began to relax ($1000^{\circ} \mathrm{L}$ corresponding to $43^{\circ} \mathrm{C}$). a) At what temperature in $^{\circ} \mathrm{F}$ does beer boil? b) What is the temperature interval of 10.0 Farblunget degrees equivalent to in $^{\circ} \mathrm{C}, \mathrm{K},^{\circ} \mathrm{F}, \text { and }^{\circ} \mathrm{R}$? c) Derive equations for $T\left(^{\circ} \mathrm{C}\right)$ in terms of $T\left(^{\circ} \mathrm{L}\right)$ and $T\left(^{\circ} \mathrm{L}\right)$ of [mathT\left(^${\circ}$ $\mathrm{FB}$\right)[/math]. d) What is the boiling point of ethane at 1 atm in $^{\circ} \mathrm{F}, \mathrm{K},^{\circ} \mathrm{R},^{\circ} \mathrm{FB}, \text { and }^{\circ} \mathrm{L}$? e) What is a temperature interval of 50.0 Louie degrees equivalent to in Celsius degrees, Kelvin degrees, Fahrenheit degrees, Rankine degrees, and Farblunget degrees?