University Physics Volume 2
18th Edition
ISBN: 9781938168161
Author: OpenStax
Publisher: OpenStax
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Chapter 3, Problem 37P
Find the work done in the quasi-static processes shown below. The states are given as (p, V) values for the points in the PV plane: 1 (3 atm, 4 L), 2 (3 atm, 6 L), 3 (5 atm, 4 L), 4 (2 atm, 6 L), 5 (4 atm, 2 L), 6 (5 atm, 5 L) and 7 (2 atm, 5 L).
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Problem 2:
A bubble of CO2 forms at the bottom of a lake and rises to the surface. Recall that the
pressure P below the surface of a lake increases with depth h as AP = pg Ah, where p is
the density of the water. As the bubble rises, the pressure decreases and the bubble
expands. If the bubble rises slowly, the process is isothermal. But if the bubble rises
rapidly, the process is adiabatic. You can assume f= 6 for CO2 gas near room
temperature (3 translational modes and 2 rotational modes and one active bending mode.)
a) Compare two initially identical bubbles A and B: Bubble A rises adiabatically, and
bubble B rises isothermally. Let Pı be the pressure at the bottom of the lake and
P2 be the pressure at the top of the lake. For each of the bubbles, A and B, derive
a formula for the ratio of the volumes V2/V1 , and predict which bubble will
expand more as it rises.
b) For each bubble, A and B, by what factor will the volume increase if the bubble
starts at a depth of 100 m and rises…
1. Find the work done in the quasi-static processes shown below. The states are given as (p, V)
values for the points in the pV plane: 1 (3 atm, 4 L), 2 (3 atm, 6 L), 3 (5 atm, 4 L), 4 (2 atm, 6 L), 5
(4 atm, 2 L). Use the conversions 1 atm≈1 05 Pa, and 1 L=10-³ m³.
(a) W₁2=
(b) W13
(c) W14=
(d) W153 =
==
==
==
✔
(a)
(C)
2
PL
39
5
(b)
(d)
A container of ideal gas at standard temperature and pressure (273 K and 1 atm) undergoes an isothermal expansion and its entropy changes by 3.7 J/K. How much work does it do?
Chapter 3 Solutions
University Physics Volume 2
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