Physics: Principles with Applications
6th Edition
ISBN: 9780130606204
Author: Douglas C. Giancoli
Publisher: Prentice Hall
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Chapter 13, Problem 74GP
To determine
To Find: The percentage error.
Expert Solution & Answer
Answer to Problem 74GP
The percentage error in a measurement of volume is 1.26 % .
Explanation of Solution
Given information:
Temperature T1=20∘C .
Temperature T2 =80∘C .
Quantity of water, V0= 300 mL .
Expansion coefficient, β=210×10-6 °C-1 .
Formula used:
% error = ΔV V0×100
Here, V0 is the quantity of water.
ΔV is the change in the volume.
Calculation:
Fuel a cup with water at 20oC , is 300 ml of cool water. Now the cup is heated to 80∘C and due to that heating, cup and water both are heated due to thermal expansion. Some of the water will overflow from the cup due to the heating. Volume of water that will overflow from the cup is called ΔV
ΔV = V0×β×ΔTΔV = 300×10-3×210×10-6×(80 - 20)ΔV = 0.00378 L
This is the error in the volume which is determined by using hot water.
% error = 0.00378 0.3×100 = 1.26 %
Conclusion:
Thus, the percentage error in a measurement of volume is 1.26 % .
Chapter 13 Solutions
Physics: Principles with Applications
Ch. 13 - Prob. 1QCh. 13 - Prob. 2QCh. 13 - Prob. 3QCh. 13 - Prob. 4QCh. 13 - Prob. 5QCh. 13 - Prob. 6QCh. 13 - Prob. 7QCh. 13 - Prob. 8QCh. 13 - Prob. 9QCh. 13 - Prob. 10Q
Ch. 13 - Prob. 11QCh. 13 - Prob. 12QCh. 13 - Prob. 13QCh. 13 - Prob. 14QCh. 13 - Prob. 15QCh. 13 - Prob. 16QCh. 13 - Prob. 17QCh. 13 - Prob. 18QCh. 13 - Prob. 19QCh. 13 - Prob. 20QCh. 13 - Prob. 21QCh. 13 - Prob. 22QCh. 13 - Prob. 23QCh. 13 - Prob. 27QCh. 13 - How does the number of atoms in a 27.5-gram gold...Ch. 13 - Prob. 2PCh. 13 - (a) “Room temperature” is often taken to be 68°F....Ch. 13 - Prob. 4PCh. 13 - Prob. 5PCh. 13 - Prob. 6PCh. 13 - The Eiffel Tower (Fig. 13-31 [) is built of...Ch. 13 - Prob. 8PCh. 13 - Prob. 9PCh. 13 - To what temperature would you have to heat a brass...Ch. 13 - Prob. 11PCh. 13 - To make a secure fit. rivets that are larger than...Ch. 13 - An ordinary glass is filled to the brim with 450.0...Ch. 13 - An aluminum sphere is 8.75 cm in diameter. What...Ch. 13 - Prob. 15PCh. 13 - Prob. 16PCh. 13 - An aluminum bar has the desired length when at...Ch. 13 - The pendulum in a grandfather clock is made of...Ch. 13 - Prob. 19PCh. 13 - Prob. 20PCh. 13 - Prob. 21PCh. 13 - Prob. 22PCh. 13 - Prob. 23PCh. 13 - Prob. 24PCh. 13 - Prob. 25PCh. 13 - Prob. 26PCh. 13 - Prob. 27PCh. 13 - Prob. 28PCh. 13 - Prob. 29PCh. 13 - Prob. 30PCh. 13 - Prob. 31PCh. 13 - Prob. 32PCh. 13 - Prob. 33PCh. 13 - Prob. 34PCh. 13 - Prob. 35PCh. 13 - Prob. 36PCh. 13 - Prob. 37PCh. 13 - Prob. 38PCh. 13 - Prob. 39PCh. 13 - Prob. 40PCh. 13 - Prob. 41PCh. 13 - Prob. 42PCh. 13 - Prob. 43PCh. 13 - Prob. 44PCh. 13 - Prob. 45PCh. 13 - Prob. 46PCh. 13 - Prob. 47PCh. 13 - Prob. 48PCh. 13 - Prob. 49PCh. 13 - Prob. 50PCh. 13 - Prob. 51PCh. 13 - Prob. 52PCh. 13 - Prob. 53PCh. 13 - Prob. 54PCh. 13 - Prob. 55PCh. 13 - Prob. 56PCh. 13 - Prob. 57PCh. 13 - Prob. 58PCh. 13 - Prob. 59PCh. 13 - Prob. 60PCh. 13 - Prob. 61PCh. 13 - Prob. 62PCh. 13 - Prob. 63PCh. 13 - Prob. 64PCh. 13 - Prob. 65PCh. 13 - Prob. 66PCh. 13 - Prob. 67PCh. 13 - Prob. 68PCh. 13 - Prob. 69PCh. 13 - Prob. 70PCh. 13 - Prob. 71PCh. 13 - Prob. 72PCh. 13 - Prob. 73GPCh. 13 - Prob. 74GPCh. 13 - Prob. 75GPCh. 13 - Prob. 76GPCh. 13 - Prob. 77GPCh. 13 - Prob. 78GPCh. 13 - Prob. 79GPCh. 13 - Prob. 80GPCh. 13 - Prob. 81GPCh. 13 - Prob. 82GPCh. 13 - Prob. 83GPCh. 13 - Prob. 84GPCh. 13 - Prob. 85GPCh. 13 - Prob. 86GPCh. 13 - Prob. 87GPCh. 13 - Prob. 88GPCh. 13 - Prob. 89GPCh. 13 - Prob. 90GPCh. 13 - Prob. 91GP
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