Astronomy
1st Edition
ISBN: 9781938168284
Author: Andrew Fraknoi; David Morrison; Sidney C. Wolff
Publisher: OpenStax
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Textbook Question
Chapter 22, Problem 8E
How do stars typically “move” through the main sequence band on an H−R diagram? Why?
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6. We used the constant volume heat capacity, Cv, when we talked about
thermodynamic cycles. It acts as a proportionality constant between energy and
temperature: dU = C₁dT.
You can also define a heat capacity for constant pressure processes, Cp. You can think
of enthalpy playing a similar role to energy, but for constant pressure processes
δαρ
C = (37) - Sup
Ср
ат
P
=
ат
Starting from the definition of enthalpy, H = U + PV, find the relationship between Cy
and Cp for an ideal gas.
Pure membranes of dipalmitoyl lecithin phospholipids are models of biological membranes. They melt
= 41°C. Reversible melting experiments indicate that
at Tm
AHm=37.7 kJ mol-1. Calculate:
A. The entropy of melting, ASm-
B. The Gibbs free energy of melting, AGm-
C. Does the membrane become more or less ordered upon melting?
D. There are 32 rotatable CH2
CH2 bonds in each molecule that can rotate more freely if the
membrane melts. What is the increase in multiplicity on melting a mole of bonds?
5. Heat capacity often has a temperature dependence for real molecules, particularly if
you go over a large temperature range. The heat capacity for liquid n-butane can be
fit to the equation
Cp(T) = a + bT
where a = 100 J K₁₁ mol¹ and b = 0.1067 J K² mol¹ from its freezing point (T = 140 K)
to its boiling point (T₁ = 270 K).
A. Compute AH for heating butane from 170 K to 270 K.
B. Compute AS for the same temperature range.
Chapter 22 Solutions
Astronomy
Ch. 22 - Compare the following stages in the lives of a...Ch. 22 - What is the first event that happens to a star...Ch. 22 - Astronomers find that 90% of the stars observed in...Ch. 22 - Describe the evolution of a star with a mass...Ch. 22 - Describe the evolution of a star with a mass...Ch. 22 - A star is often described as “moving” on an HR...Ch. 22 - On which edge of the main sequence band on an HR...Ch. 22 - How do stars typically “move” through the main...Ch. 22 - Certain stars, like Betelgeuse, have a lower...Ch. 22 - Gravity always tries to collapse the mass of a...
Ch. 22 - Why are star clusters so useful for astronomers...Ch. 22 - Would the Sun more likely have been a member of a...Ch. 22 - Suppose you were handed two HR diagrams for two...Ch. 22 - Referring to the HR diagrams in Exercise 22.13,...Ch. 22 - The nuclear process for fusing helium into carbon...Ch. 22 - Pictures of various planetary nebulae show a...Ch. 22 - Describe the two “recycling” mechanisms that are...Ch. 22 - In which of these star groups would you mostly...Ch. 22 - Explain how an HR diagram of the stars in a...Ch. 22 - Where did the carbon atoms in the trunk of a tree...Ch. 22 - What is a planetary nebula? Will we have one...Ch. 22 - Is the Sun on the zero-age main sequence? Explain...Ch. 22 - How are planetary nebulae comparable to a...Ch. 22 - Which of the planets in our solar system have...Ch. 22 - Would you expect to find an earthlike planet (with...Ch. 22 - In the HR diagrams for some young clusters, stars...Ch. 22 - If the Sun were a member of the cluster NGC 2264,...Ch. 22 - If all the stars in a cluster have nearly the same...Ch. 22 - Suppose a star cluster were at such a large...Ch. 22 - Suppose an astronomer known for joking around told...Ch. 22 - Stars that have masses approximately 0.8 times the...Ch. 22 - Automobiles are often used as an analogy to help...Ch. 22 - The text says a star does not change its mass very...Ch. 22 - The text explains that massive stars have shorter...Ch. 22 - You can use the equation in Exercise 22.34 to...Ch. 22 - You can estimate the age of the planetary nebula...Ch. 22 - If star A has a core temperature T, and star B has...
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