(solution) You propose a new temperature scale with temperatures given in

(solution) You propose a new temperature scale with temperatures given in

You propose a new temperature scale with temperatures given in °E. You define 0.0°E to
be the normal melting point of ethanol and 255°E to be the normal boiling point of ethanol.
(a) What is the normal boiling point of water in °E? (b) A temperature change of 10.0E°
corresponds to how many C°? (final Answer: a) 284.2°E, b) 7.5C°

please show me the complete working solution and rationale.