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On a cool (4.0o C) Saturday morning, a pilot fills the

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman ISBN: 9780321675460 31

Solution for problem 84P Chapter 17

University Physics | 13th Edition

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University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

University Physics | 13th Edition

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Problem 84P

On a cool (4.0o C) Saturday morning, a pilot fills the fuel tanks of her Pitts S-2C (a two-seat aerobatic airplane) to their full capacity of 106.0 L. Before flying on Sunday morning, when the temperature is again 4.0o C, she checks the fuel level and finds only 103.4 L of gasoline in the aluminum tanks. She realizes that it was hot on Saturday 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) of the fuel and the tank on Saturday afternoon? The coefficient of volume expansion of gasoline is 9.5 X 10-4 K-1. (b) To have the maxi-mum amount of fuel available for flight, when should the pilot have filled the fuel tanks?

Step-by-Step Solution:

Solution 84P Step 1: In this question, we need to find the maximum temperature on saturday afternoon And when should pilot fill the tank to have maximum fuel Consider the data given Maximum capacity of fuel tank v = 106.0 L 0 Gain in temperature T = 4 C 0 1 Fuel available in the tank v = 203.4 L Coefficient thermal expansion of gasoline = 9.5 × 10 K 4 1 gas 6 Coefficient of thermal expansion of aluminium al = 23 × 10 K Step 2 : Let find the change in volume It if given as V = v v = 106.0 L 103.4 L = 2.6 L 0 1 We need to find change in temperature This is obtained using (Ti+4)V T initial gasalv 0 Substituting the values T = (Ti+4) 2.6 L initial 9.5×104K 23×10 6K ×106.0 L Resolving this we get T = 26 C 0 i 0 0 0 Hence the maximum temperature gained us 126 C + 4 C = 30 C

Step 3 of 3

Chapter 17, Problem 84P is Solved
Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

This textbook survival guide was created for the textbook: University Physics, edition: 13. The full step-by-step solution to problem: 84P from chapter: 17 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. This full solution covers the following key subjects: Fuel, gasoline, tanks, Saturday, tank. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. University Physics was written by and is associated to the ISBN: 9780321675460. Since the solution to 84P from 17 chapter was answered, more than 487 students have viewed the full step-by-step answer. The answer to “On a cool (4.0o C) Saturday morning, a pilot fills the fuel tanks of her Pitts S-2C (a two-seat aerobatic airplane) to their full capacity of 106.0 L. Before flying on Sunday morning, when the temperature is again 4.0o C, she checks the fuel level and finds only 103.4 L of gasoline in the aluminum tanks. She realizes that it was hot on Saturday 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) of the fuel and the tank on Saturday afternoon? The coefficient of volume expansion of gasoline is 9.5 X 10-4 K-1. (b) To have the maxi-mum amount of fuel available for flight, when should the pilot have filled the fuel tanks?” is broken down into a number of easy to follow steps, and 132 words.

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