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What is the relation between air temperature and the aircraft range?

(a) Air temperature increases with increase in the aircraft range

(b) Air temperature decreases with increase in the aircraft range

(c) Air temperature increases with decrease in the aircraft range

(d) Air temperature is not effected by the aircraft range

I had been asked this question in unit test.

This interesting question is from Effect of WAT on Cruise Performance topic in section Cruising Performance of Aircraft Performance

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Correct option is (a) Air temperature increases with increase in the aircraft range

To explain: The air temperature increases with increase in the aircraft range. This is because the true airspeed (TAS) increases and the aircraft flies further in the given time during which it burns same quantity of the fuel.

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