No real engine can have an efficiency greater than that of a carnot engine working between the same two temperatures, why?

An engine (whose efficiency equals that of a carnot engine working between the same temperature limits) develops 100 h.p. and operates between 227^(@)C and 27^(@)C . What is the heat supplied ? What is the heat rejected ? What is the thermal efficiency ?

In practise, all heat engines have efficiency less than that of a carnot engine because

The efficiency of a heat engine is defined as the ratio of the mechanical work done by the engine in one cycle to the heat absorbed from the high temperature source . eta = (W)/(Q_(1)) = (Q_(1) - Q_(2))/(Q_(1)) Cornot devised an ideal engine which is based on a reversible cycle of four operations in succession: isothermal expansion , adiabatic expansion. isothermal compression and adiabatic compression. For carnot cycle (Q_(1))/(T_(1)) = (Q_(2))/(T_(2)) . Thus eta = (Q_(1) - Q_(2))/(Q_(1)) = (T_(1) - T_(2))/(T_(1)) According to carnot theorem "No irreversible engine can have efficiency greater than carnot reversible engine working between same hot and cold reservoirs". An inventor claims to have developed an engine working between 600K and 300K capable of having an efficiency of 52% , then -

The efficiency of a heat engine is defined as the ratio of the mechanical work done by the engine in one cycle to the heat absorbed from the high temperature source . eta = (W)/(Q_(1)) = (Q_(1) - Q_(2))/(Q_(1)) Cornot devised an ideal engine which is based on a reversible cycle of four operations in succession: isothermal expansion , adiabatic expansion. isothermal compression and adiabatic compression. For carnot cycle (Q_(1))/(T_(1)) = (Q_(2))/(T_(2)) . Thus eta = (Q_(1) - Q_(2))/(Q_(1)) = (T_(1) - T_(2))/(T_(1)) According to carnot theorem "No irreversible engine can have efficiency greater than carnot reversible engine working between same hot and cold reservoirs". Efficiency of a carnot's cycle change from (1)/(6) to (1)/(3) when source temperature is raised by 100K . The temperature of the sink is-

Assetion : No engine can have efficiencyt greater than that of the carnot engine Reason : The efficiencyt of a cornot engine is given by eta =1-(T_(2))/(T_(1))

Efficiency of carnot engine working between ice point and steam point is

The efficiency of a Carnot engine working between 800 K and 500 K is -

If the efficiency of a carnot engine is eta ,then the coefficient of performance of a heat pump working between the same temperatures will be