Calculus: An Applied Approach (MindTap Course List)
10th Edition
ISBN: 9781305860919
Author: Ron Larson
Publisher: Cengage Learning
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Chapter A5, Problem 19E
To determine
To calculate: The simplified form of the expression
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Question 1:
If a barometer were built using oil (p = 0.92 g/cm³) instead of mercury (p =
13.6 g/cm³), would the column of oil be higher than, lower than, or the same as the
column of mercury at 1.00 atm? If the level is different, by what factor? Explain. (5 pts)
Solution:
A barometer works based on the principle that the pressure exerted by the liquid column
balances atmospheric pressure. The pressure is given by:
P = pgh
Since the atmospheric pressure remains constant (P = 1.00 atm), the height of the
liquid column is inversely proportional to its density:
Step 1: Given Data
PHg
hol=hgx
Poil
• Density of mercury: PHg = 13.6 g/cm³
Density of oil: Poil = 0.92 g/cm³
• Standard height of mercury at 1.00 atm: hμg
Step 2: Compute Height of Oil
= 760 mm = 0.760 m
13.6
hoil
= 0.760 x
0.92
hoil
= 0.760 × 14.78
hoil
= 11.23 m
Step 3: Compare Heights
Since oil is less dense than mercury, the column of oil must be much taller than that of
mercury. The factor by which it is taller is:
Final…
Chapter A5 Solutions
Calculus: An Applied Approach (MindTap Course List)
Ch. A5 - Prob. 1CPCh. A5 - Prob. 2CPCh. A5 - Prob. 3CPCh. A5 - Prob. 4CPCh. A5 - Prob. 5CPCh. A5 - Prob. 6CPCh. A5 - Prob. 7CPCh. A5 - Prob. 1ECh. A5 - Prob. 2ECh. A5 - Prob. 3E
Ch. A5 - Prob. 4ECh. A5 - Prob. 5ECh. A5 - Prob. 6ECh. A5 - Prob. 7ECh. A5 - Prob. 8ECh. A5 - Prob. 9ECh. A5 - Prob. 10ECh. A5 - Prob. 11ECh. A5 - Prob. 12ECh. A5 - Prob. 13ECh. A5 - Prob. 14ECh. A5 - Prob. 15ECh. A5 - Prob. 16ECh. A5 - Prob. 17ECh. A5 - Prob. 18ECh. A5 - Prob. 19ECh. A5 - Prob. 20ECh. A5 - Prob. 21ECh. A5 - Prob. 22ECh. A5 - Prob. 23ECh. A5 - Prob. 24ECh. A5 - Prob. 25ECh. A5 - Prob. 26ECh. A5 - Prob. 27ECh. A5 - Prob. 28ECh. A5 - Prob. 29ECh. A5 - Prob. 30ECh. A5 - Prob. 31ECh. A5 - Prob. 32ECh. A5 - Prob. 33ECh. A5 - Prob. 34ECh. A5 - Prob. 35ECh. A5 - Prob. 36ECh. A5 - Prob. 37ECh. A5 - Prob. 38ECh. A5 - Prob. 39ECh. A5 - Prob. 40ECh. A5 - Prob. 41ECh. A5 - Prob. 42E
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