Answer:
actual efficiency is 47.78 %
Carnot efficiency is 67.65 %
power output is 5.20 × 10^3 hp
Explanation:
given data
temperature = 1900°C = 1900+ 273 K = 2173 K
exhaust temperature = 430°C = 430 + 273 K = 703 K
fuel = 7.0 × 10^9 cal
work = 1.4 × 10^10 J
to find out
actual efficiency and Carnot efficiency and power output of engine
solution
first we find actual efficiency that is = work / heat input
put the value and
input energy = 7.0 × 10^9 cal (4.184 J/1 cal) = 29.29 × 10^9 J
actual efficiency = 1.4 × 10^10 / ( 29.29 × 10^9 )
actual efficiency = 0.4778
actual efficiency is 47.78 %
and
Carnot efficiency is = 1 - ( 703 / 2173 )
so Carnot efficiency is = 0.67648
Carnot efficiency is 67.65 %
and
power output = work / time
power output = 1.4 × 10^10 / 3600 sec
power output = 3.88 × 10^6 W
power output = 3.88 × 10^6 W / 746 hp
so power output is 5.20 × 10^3 hp
