QUESTION $5$

$[25]$

Two reversible heat engines operate in series between a source at $527$ deg C and a sink at $17$ deg C$.$ if the engines have equal efficiency and the first cycle ejects $400$ kJ to the second. calculate

a$)$ the temperature at which heat is supplied to the second engine

b$)$ the heat taken from the source

c$)$ the work done by each engine

assume that each engine operates on a Carnot cycle.