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 -

Options

A. It is impossible
B. It is possible
C. It is nearly possible
D. Data is insufficient

Answer

A

Explanation

`eta_(max) = (T_(1) -T_(2))/(T_(1)) xx 100 = (600-300)/(600) xx 100 = 50%`