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2 July, 16:52

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?

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  1. 2 July, 18:39
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    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
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