21ST CENTURY ASTR.:STARS..(LL)-PACKAGE
6th Edition
ISBN: 9780393448450
Author: Kay
Publisher: NORTON
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Chapter 13, Problem 19QP
To determine
Whether the cool stars emit any blue light
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3. The entropy of an ideal gas is S = Nkg In V. Entropy is a state function rather than a path
function, and in this problem, you will show an example of the entropy change for an ideal gas
being the same when you go between the same two states by two different pathways.
A. Express ASV = S2 (V2) - S₁(V1), the change in entropy upon changing the volume from V₁to
V2, at fixed particle number N and energy, U.
B. Express ASN = S₂(N₂) - S₁ (N₁), the change in entropy upon changing the particle number
from N₁ to N2, at fixed volume V and energy U.
C. Write an expression for the entropy change, AS, for a two-step process (V₁, N₁) →
(V2, N₁) → (V2, N₂) in which the volume changes first at fixed particle number, then the particle
number changes at fixed volume. Again, assume energy is constant.
Please don't use Chatgpt will upvote and give handwritten solution
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.
Chapter 13 Solutions
21ST CENTURY ASTR.:STARS..(LL)-PACKAGE
Ch. 13.1 - Prob. 13.1CYUCh. 13.2 - Prob. 13.2CYUCh. 13.3 - Prob. 13.3CYUCh. 13.4 - Prob. 13.4CYUCh. 13 - Prob. 1QPCh. 13 - Prob. 2QPCh. 13 - Prob. 3QPCh. 13 - Prob. 4QPCh. 13 - Prob. 5QPCh. 13 - Prob. 6QP
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- 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?arrow_forward5. 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.arrow_forward4. How much energy must be transferred as heat to cause the quasi-static isothermal expansion of one mole of an ideal gas at 300 K from PA = 1 bar to PB = 0.5 bar? A. What is VA? B. What is VB? C. What is AU for the process? D. What is AH for the process? E. What is AS for the process?arrow_forward
- 1. The diagram shows the tube used in the Thomson experiment. a. State the KE of the electrons. b. Draw the path of the electron beam in the gravitational field of the earth. C. If the electric field directed upwards, deduce the direction of the magnetic field so it would be possible to balance the forces. electron gun 1KVarrow_forwardas a hiker in glacier national park, you need to keep the bears from getting at your food supply. You find a campground that is near an outcropping of ice. Part of the outcropping forms a feta=51.5* slopeup that leads to a verticle cliff. You decide that this is an idea place to hang your food supply out of bear reach. You put all of your food into a burlap sack, tie a rope to the sack, and then tie a bag full of rocks to the other end of the rope to act as an anchor. You currently have 18.5 kg of food left for the rest of your trip, so you put 18.5 kg of rocks in the anchor bag to balance it out. what happens when you lower the food bag over the edge and let go of the anchor bag? Determine the acceleration magnitude a of the two-bag system when you let go of the anchor bag?arrow_forward2. A thin Nichrome wire is used in an experiment to test Ohm's law using a power supply ranging from 0 to 12 V in steps of 2 V. Why isn't the graph of I vs V linear? 1. Nichrome wire does obey Ohm's law. Explain how that can that be true given the results abovearrow_forward
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