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On a cool (3.5°C) Saturday morning, a pilot fills the fuel tanks of her Pitts S-

ID: 1440320 • Letter: O

Question

On a cool (3.5°C) Saturday morning, a pilot fills the fuel tanks of her Pitts S-2C (a two-seat aerobatic airplane) to their full capacity of 103.5 L Before flying on Sunday morning, ealizes that it was hot on Saturda y afternoon, and that thermal expansion of the gasoline caused the missing fuel to empty out of the tank's vent. (a) What was the maximum temperature (in oc) reached by the fuel and the tank on Saturday afternoon? The coefficient of volume expansion of gasoline is 9.5 x 10-4 K1, and the tank is made of aluminum. Enter a number. b) In order to have the maximum amount of fuel available for flight, when should the pilot have filled the fuel tanks? Sunday morning before takeoff Saturday afternoon at the highest temperature

Explanation / Answer

DeTlaV= 3*Alpha*deltaT

2.3/103.5 = 3*9.5*10^-4K-1*deltaT

23.39 = deltaT

but T = 23.39-3.5= 19.89

T=19.89 degrees Celcius

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