Essential University Physics Volume 1, Loose Leaf Edition (4th Edition)
4th Edition
ISBN: 9780135264669
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 15, Problem 71P
(a) Use the result of Problem 70 to express Earth's atmospheric density as a function of height. (b) Use your result from (a) to find the height below which half of Earth’s atmospheric mass lies (this will require integration).
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
What would be the height of the atmosphere if the air density (a) were uniform and (b) decreased linearly to zero with height? Assume
that at sea level the air pressure is 1.00 atm and the air density is 1.25 kg/m³.
(a) Number
Units
(b) Number
i
Units
The pressure on Earth's atmosphere as a function of height y above sea level can be determined by
assuming g to be constant and that the density of air is proportional to the pressure, i.e., px P.
Note that this assumption is not very accurate since temperature and other weather effects can
influence pressure. [Hint: Po = 1.013 × 105 N/m², po = 1.29 kg x m-³]
(1) Start by finding a relation between the pressure Po and the density of air po at 0° at sea level
(y=0) and the pressure P and density p at height y. Using this relation find an expression
for p as a function of P, i.e., p = p(P).
(2) Find the pressure as a function y.
(3) At what altitude above sea level is the atmospheric pressure equal to half the pressure at sea
level?
The rate of change of atmospheric pressure P with respect to altitude h is
proportional to P, provided that temperature is constant. At 15°C the pressure is
101.3 kPa at sea level and 87.14 kPa at h = 1000 m. Answer the following
questions.
a) What is the atmospheric pressure at an altitude of 4000 m? Round to three decimal
places.
b) What is the atmospheric pressure at the top of Mount Greylock in Massachusetts, at
an altitude of 1063 m? Round to three decimal places.
CHECK ANSWER
kPa
NEXT
kPa
Chapter 15 Solutions
Essential University Physics Volume 1, Loose Leaf Edition (4th Edition)
Ch. 15.1 - What quantity of water has the same mass as 1 m3...Ch. 15.2 - Neglecting friction and other nonconservative...Ch. 15.3 - The density of a rubber ball is three-fifths that...Ch. 15.4 - The photo shows smoke particles tracing...Ch. 15.5 - A large tank is filled with liquid to the level h1...Ch. 15 - Why do your ears pop when you drive up a mountain?Ch. 15 - Commercial aircraft cabins are usually pressurized...Ch. 15 - Water pressure at the bottom of the ocean arises...Ch. 15 - The three containers in Fig. 15.22 are filled to...Ch. 15 - Why is it easier to float in the ocean than in...
Ch. 15 - Figure 15.23 shows a cork suspended from the...Ch. 15 - Meteorologists in the United States usually report...Ch. 15 - A mountain stream, frothy with entrained air...Ch. 15 - Why are dams thicker at the bottom than at the...Ch. 15 - Its not possible to breathe through a snorkel from...Ch. 15 - A helium-filled balloon stops rising long before...Ch. 15 - A barge filled with steel beams overturns in a...Ch. 15 - Why do airplanes take off into the wind?Ch. 15 - Is the flow speed behind a wind turbine greater or...Ch. 15 - The density of molasses is 1600kg/m3. Find the...Ch. 15 - Atomic nuclei have densities around 1017kg/m3,...Ch. 15 - Compressed air with mass 8.8 kg is stored in a...Ch. 15 - The pressure unit torr is defined as the pressure...Ch. 15 - Measurement of small pressure differencesfor...Ch. 15 - Whats the weight of a column of air with...Ch. 15 - A 4680-kg circus elephant balances on one foot. If...Ch. 15 - You unbend a paper clip made from 1.5-mm-diameter...Ch. 15 - Whats the density of a fluid whose pressure...Ch. 15 - A research submarine can withstand an external...Ch. 15 - Prob. 25ECh. 15 - A vertical tube open at the top contains 5.0 cm of...Ch. 15 - A child attempts to drink water through a...Ch. 15 - Barometric pressure in the eye of a hurricane is...Ch. 15 - Prob. 29ECh. 15 - A 5.4-g jewel has apparent weight 32 mN when...Ch. 15 - Styrofoams density is 160kg/m3. What percent error...Ch. 15 - A steel drum has volume 0.23 m3 and mass 16 kg....Ch. 15 - Water flows through a 2.5-cm-diameter pipe at 1.8...Ch. 15 - Show that pressure has the units of energy...Ch. 15 - A typical mass flow rate for the Mississippi River...Ch. 15 - Prob. 36ECh. 15 - A typical human aorta, the main artery from the...Ch. 15 - When a couple with total mass 120 kg lies on a...Ch. 15 - A fully loaded Volvo station wagon has mass 1950...Ch. 15 - Youre stuck in the exit row on a long flight, and...Ch. 15 - A vertical tube 1.0 cm in diameter and open at the...Ch. 15 - Dam breaks present a serious risk of widespread...Ch. 15 - A U-shaped tube open at both ends contains water...Ch. 15 - Prob. 44PCh. 15 - A garage lift has a 45-cm-diameter piston...Ch. 15 - Archimedes purportedly used his principle to...Ch. 15 - Youre testifying in a drunk-driving case for which...Ch. 15 - A glass beaker measures 14 cm high by 5.0 cm in...Ch. 15 - A typical supertanker has mass 2.0 106 kg and...Ch. 15 - A balloon contains gas of density and is to lift a...Ch. 15 - (a) How much helium (density 0.18 kg/m3) is needed...Ch. 15 - A 55-kg swimmer climbs onto a Styrofoam block of...Ch. 15 - If the blood pressure in the unobstructed artery...Ch. 15 - Youre a consultant for maple syrup producers. They...Ch. 15 - The water in a garden hose is at 140-kPa gauge...Ch. 15 - The venturi flowmeter shown in Fig. 15.26 is used...Ch. 15 - A 1.0-cm-diameter venturi flowmeter is inserted in...Ch. 15 - A balloons mass is 1.6 g when its empty. Its...Ch. 15 - Blood with density 1.06 g/cm3 and 10-kPa gauge...Ch. 15 - Prob. 60PCh. 15 - A drinking straw 20 cm long and 3.0 mm in diameter...Ch. 15 - In 2012, film producer James Cameron (Terminator,...Ch. 15 - Prob. 63PCh. 15 - Water emerges from a faucet of diameter d0 in...Ch. 15 - Assuming norm.nl atmospheric pressure, how massive...Ch. 15 - Figure 15.28 shows a simplified diagram of a Pitot...Ch. 15 - At a hearing on a proposed wind farm, a...Ch. 15 - A pencil is weighted so it floats vertically with...Ch. 15 - A can of height h and cross-sectional area A0 is...Ch. 15 - Density and pressure in Earths atmosphere are...Ch. 15 - (a) Use the result of Problem 70 to express...Ch. 15 - A circular pan of liquid with density is centered...Ch. 15 - A solid sphere of radius R and mass M has density ...Ch. 15 - The difference in air pressure between the inside...Ch. 15 - Find the torque that the water exerts about the...Ch. 15 - One vertical wall of a swimming pool is a regular...Ch. 15 - Youre a private investigator assisting a large...Ch. 15 - A plumber conies to your ancient apartment...Ch. 15 - Your class in naval architecture is working on the...Ch. 15 - Prob. 80PPCh. 15 - Prob. 81PPCh. 15 - Prob. 82PPCh. 15 - Prob. 83PP
Additional Science Textbook Solutions
Find more solutions based on key concepts
If all of Earths nitrogen-fixing prokaryotes were to die suddenly, what would happen to the concentration of ni...
Biology: Life on Earth with Physiology (11th Edition)
41. Two of the emission wavelengths in the hydrogen emission spectrum 410 nm 434 nm. One of these is due to the...
Introductory Chemistry (6th Edition)
Define histology.
Fundamentals of Anatomy & Physiology (11th Edition)
2. Define equilibrium population. Outline the conditions that must be met for a population to stay in genetic e...
Biology: Life on Earth (11th Edition)
Fill in the blanks: The nose is to the mouth. The ankle is to the knee. The ring finger is to the inde...
Human Anatomy & Physiology (2nd Edition)
The following results were obtained from a broth dilution test for microbial susceptibility. Antibiotic Concent...
Microbiology: An Introduction
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- The density of air is 1.3 kg/m at sea level. From your knowledge of air pressure at ground level, estimate the height of the atmosphere. As a simplifying assumption, take the atmosphere to be of uniform density up to some height, after which the density rapidly falls to zero. (In reality, the density of the atmosphere decreases as we go up.) t O 1 km O 10 km O 100 km O 1000 km Need Help? Read Itarrow_forwardThe basic barometer can be used as an altitudemeasuring device in airplanes. The ground control reports a barometric reading of 753 mmHg while the pilot’s reading is 690 mmHg. Estimate the altitude of the plane from ground level if the average air density is 1.20 kg/m3.arrow_forwardWhat would be the height of the atmosphere if the air density (a) were uniform and (b) decreased linearly to zero with height? Assume that at sea level the air pressure is 1.00 atm and the air density is 1.28 kg/m^3.arrow_forward
- Consider the air above a football field. The field has an area of 5.4x10^3 m^2. Consider the air in the region extending from the ground to 1 m above the surface of the field. Calculate the volume of air in m^3.arrow_forwardThe volume of an air bubble increases by a factor of 3.19 times as it rises from the bottom of a lake (density = 1000 kg/m 3). This is due to the drop of the absolute pressure by a factor of 1/3.19. Ignoring any temperature changes, What is the depth of the lake? Take g = 9.8 m/s2. One atmospheric pressure = 1.013 x 105 N/m2. Please round your answer to one decimal place. Equation: ??ℎ+??=ρgh+Pa= 3.19 ??arrow_forwardThe density of air is 1.3 kg/m3 at sea level. From your knowledge of air pressure at ground level, estimate the height of the atmosphere. As a simplifying assumption, take the atmosphere to be of uniform density up to some height, after which the density rapidly falls to zero. (In reality, the density of the atmosphere decreases as we go up.)arrow_forward
- An airplane passenger has a volume V1 of air in his stomach just before the plane takes off from a sea-level airport. What volume will this quantity of air have at cruising altitude at the same temprerature ( body temp. ), in terms of V1, the pressure on the ground P1, and the cabin pressure at cruising altitude P2? What is this volume, in cubic centimeters, if the initial volume is 110 cm^3 and the cabin pressure drops to 7.5x10^4 Pa when the plane is at cruising altitude?arrow_forwardAtmospheric pressure follows the following differential equation: dP/dh = −kP Where k is a constant that depends on other physical constants such as temperature, the acceleration of gravity, the molecular weight of air, etc. Suppose that the atmospheric pressure at sea level is 1013mb (millibars) and the atmospheric pressure in Mexico City, which is 2240m above sea level, is 764mb. Estimate the atmospheric pressure in the lagoons of Montebello, Chiapas, which are 1500m above sea level. Note: Don't skip steps to get to the resultarrow_forwardThe density of the atmosphere varies drastically with height, but you can use an average density from sea floor to the space in order to calculate its height. If we approximate this average density to be = 1 Kg/m³, what would be height of the atmosphere? HINT: Since the atmosphere is a fluid (in gas form), you can use the hydrostatic pressure formula (P pgh), just solve for h and use P = 1 atm. BTW, this is how the edge of space is defined, if you make it pass the height of the atmosphere you have reached space :)arrow_forward
- The density of air is 1.3 kg/m3 at sea level. From your knowledge of air pressure at ground level, estimate the height of the atmosphere. As a simplifying assumption, take the atmosphere to be of uniform density up to some height, after which the density rapidly falls to zero. (In reality, the density of the atmosphere decreases as we go up.) (This question is courtesy of Edward F. Redish. For more questions of this type, see http://www.physics.umd.edu/perg/.)arrow_forwardThe atmospheric pressure at the time the video was taken was recorded by the National Weather Service as 30.10 inches of mercury, with the alternative measure of a sea level equivalent 1018.8 bar. What was the atmospheric pressure in the laboratory (we are only a few km from the Weather Service's station) in SI units? The standard unit of pressure is the pascal. For atmospheric pressure it is conventional to use kPa, kilopascal. Why is there a difference between the measured pressure locally and the sea level equivalent, apart from the continued use of imperial units for barometric pressure.arrow_forwardLet's begin with a simple calculation of the weight of air using density. Find the mass of air and its weight in a living room that has a 4.4m×6.1m floor and a ceiling 3.5 m high. What volume of water would have a mass equal to the mass of air in the room?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
How to Calculate Density of Liquids - With Examples; Author: cleanairfilms;https://www.youtube.com/watch?v=DVQMWihs3wQ;License: Standard YouTube License, CC-BY