A gas engine that operates on a Brayton cycle has an efficiency of 0.23. On a cold day, the temperature of the air drawn into the engine is 267 K. Part AWhat is the temperature of the air exhausted from the engine?

347 K

Explanation:

The Brayton cycle is Joule cycle and is the model for the operation of a gas turbine engine.

The general equation for the efficiency of an engine working between two temperatures is:

Efficiency = 1 - T cold / T hot.

In this case:

T cold is the temperature at which the air is drawn from the atmosphere into the engine (turbine) : 267 K; and

T hot is the temperature of the air exhausted from the engine (the unknown variable of the problem).

Thus, substituting the data into the formula, you get:

0.23 = 1 - 267 K / T hot

267 K / T hot = 1 - 0.23

267 K / T hot = 0.77

T hot = 267 K / 0.77

T hot = 347 K

Answer: the temperature of the air exhausted from the engine is 347 K