(2) (a) Derive the following relationsƏT= --UƏT1др= --TCvƏTVƏT(b) Using (). = -r ()-derive Poisson's equation pVV= constant.Cy

Part a The first energy equation Let T and V are independent variable U=U(T, V)…

Answered: (2) (a) Derive the following relations…

(2) (a) Derive the following relations ƏT др T ƏT, U Cy ƏT др ), 1 -T %3D Cy ƏT), S V ƏT 1 T ƏT. %3D др. (b) Using () --T(°P) , derive Poisson's equation pVY= constant.

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter1: A Physics Toolkit

Section1.2: Mathematics And Physics

Problem 13SSC

See similar textbooks

Related questions

Q: A planet's atmosphere contains a perfect gas with polytropic equa- tion, p = Ap, where p is the…

A: The objective of the question is to derive the expression for the ratio of the pressure at a height…

Q: For a mixture of 40% nitrogen, 35% oxygen, and 25% carbon dioxide on a molar basis, what is the…

A: Solution:- The given ecpression, P=R¯Tv¯-b-av¯(v¯+b)T12…

Q: Comet C/1995 O1 (Hale-Bopp) has a gas production rate for H2O of Q = 8.35 x 1030 molecules per…

A: Estimate the radius of its nucleus in km. gas production rateQ= 8.35×1030 moleculessExpansion…

Q: (a) Suppose a meter stick made of steel and one made of invar (an alloy of iron and nickel) are the…

A: (a) The change in length of the meter stick made of steel is, ΔLs=αsLsΔT=12×10-6/°C1.0…

Q: Using MATLAB editor, make a script m-file which includes a header block and comments: Utilizing the…

A: % Program determines the molecular volume of gas% using the formula for Ideal Gas Law for…

Q: A vehicle when cumbing up a gradient, consumes petrol at the rate of 1 litre per 8 km while coming…

A: Given: consumption of petrol in climbing up = 1/8 li/km consumption of petrol while coming down =…

Q: Part B Now find the magnitude of the magnetic field that will cause the charge to travel in a…

Q: The pressure in interplanetary space is estimated to be of the order of 10^-14 Pa. Calculate: A)…

A: Part (A) By the ideal gas equation, Here n is number of moles, N is the number of molecules, V is…

Q: (1) Hydrostatic balance states Әр Equation -1 where p is pressure, z is altitude, p is density and g…

Q: Find the mass of a thin wire lying along the curve r(t) = /2ti+ 5t j+ (7-t) k, 0sts1, if the density…

A: In this question we have to find the mass of the thin wire lying along the curve r(t). Please give…

Q: Suppose the temperature of 6L of ideal gas drops from 375 K to 175 K. If the volume remains constant…

A: Initial volume of ideal gas = 6 L Initial temperature = 375 k final temperature = 175 k Initial…

Q: 2.8 At a temperature of 100°C and an absolute pressure of 5 at- mospheres, what is the ratio of the…

Q: The law of atmospheres states that the number density of molecules in the atmosphere depends on…

Q: The pressure, P of an ideal gas, can be expressed as P = nRT/V where n is the number of moles, T is…

A: Given: P=nRTVR = 8.314 JK-1mol-1

Q: The initial pressure of gas is 5 pascal and volume is Im3 and it exponds to amd. In this pracess if…

A: The work done is given by W = P'V' - P V where, V and V' be the initial and final volumes and P…

Q: Viscosity of fluid plays a significant role in the analyses of many fluid dynamics problems. The…

Q: the

A: (a) NA = 6.022 x 1023 Avogodro's NumberOne mole gas at STP occupies = 22.4 liters1 liter = 10-3 m3⇒…

Q: The tidal lung volume of human breathing, representing the amount of air inhaled and exhaled in a…

A: Given The volume of air inhaled and exhaled (V) = 500 cm3 = 500×10-6 m3 = Temperature (T)…

Q: The maximum value of the permeability of l –metal (77% Ni, 16% Fe, 5% Cu, 2% Cr) is 0.126 T-m/A.…

Q: The Helmholtz free energy of a liquid column that rises, due to surface tension, inside 'a capillary…

A: Given: The diameter of capillary, d= 0.05 mm. The contact angle between the water and the tube , θ…

Q: find Afgo A Carrf for the reverrible T juthermal expenoions and sU of lideal) from ideal) from a gen…

A: The work done in an isothermal process is given by,

Q: (a) Suppose a meter stick made of steel and one made of invar (an alloy of iron and nickel) are the…

A: Given: The length of the stick made of steel and invar is the same at 00 C. The difference in length…

Q: (b) There are several types of planar defects. The most important planar defect is grain boundaries.…

A: Surface defects are generally observed at the border between two grains or between tiny crystals…

Q: a chemist is doing some measurements with a thermometer that is accurate to 1 degree k and a…

Q: (1) The specific gravity of a urine sample is found to be 1.110 at a temperature of 24C. The…

A: 1)The specific gravity of a urine sample is found to be 1.110 (un corrected)Temperature of the urine…

Q: find Afgr Afarg for the revearible 3.000 moy frgon ideal) from 9 Yolume Q yoluma and sU othermal…

Q: Viscosity of fluid plays a significant role in the analyses of many fluid dynamics problems. The…

Q: Hydrostatic balance states Әр əz Equation -1 where p is pressure, z is altitude, p is density and g…

Q: Assuming that the temperature of the breathe of a human being is 35°C and the relative humudity is…

Q: The thermal contact conductance at the interface of two 1-cm-thick aluminum plates is measured to be…

A: Thermal contact resistance is, Rc=1hc=111000 W/m2·K=9.09×10-5 m2·K/W

Question

(2) (a) Derive the following relations
ƏT
= --
U
ƏT
1
др
= -
-T
Cv
ƏT
V
ƏT
(b) Using (). = -r ()-
derive Poisson's equation pVV= constant.
Cy

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

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

When two galaxies collide, the stars do not generally run into eachother, but the gas clouds do collide, triggeering a burst of new star formation. a) Estimate the probability that our Sun would collide with another star in the Andromeda galaxy if a collision between the Milky Way and Andromeda occured. Assume that each galaxy has 100 billion stars exactly like the sun, spread evenly over a circular disk with a radius of 100,000 lightyears. (Hint: first calculate total area of 100 billion circles with the radius of the Sun and then compare that to total area to the area of the Galatic disk) b) Estimate the probability of a collision between a gas cloud in our galaxy and one in the Andromeda galaxy. Assume that each galaxy has 100,000 clouds of warm hydrogen gas, each with a radius of 300 lightyears, spread evenly over the same disk. Use the same method as part A.
use the Scalax preduct o find th argle between. cal A=3i-2j and B =4i -4j (6) A = í - 2j+2ţ and B= 3j+4k
Water at 20°C flows past a half-body as shown in Fig. Measured pressures at points A and B are 160 kPaand 90 kPa, respectively, with uncertainties of 3 kPa each.Estimate the stream velocity and its uncertainty.
i need the answer quickly
If aceleration () with amognitud of 10 m/st and dise tion of 37 degrees is added to accelexution (2) with a magnitud of Jom/s and a drection of 120 degrees. The mag nitud of the Sum of tbese accelesations is
For V=-2k(lamda)lnr is this a function that is just known or do I need to know the steps to calculate this.
Assuming the dioder to be ideal is the figure for the output to be clipped, the simput voltag Vp must be outside the range. Vr (₂) AAAA toks Page ENV ✔ D₂A -2V + t loke V. ↓
Soru 5/10 10 Puan A straigt cylindncal wire lying along thea ais has a lemgh of L2 and a radiun of r0dmm. The a renistivity of the wre's material ispdloC tf the potratal differmce acrisa the ud of aien i V-10 Vas caleulate the magnitide of the cunent density (J) AI512x 10'Am C1 407 10 Am D21x 10 A Seçimi Sitria
Suestond The speed of the ebctron af Pont A m the higure grver as Vo =d,ul x 1o m/s tb thrs? Acordig a) Find the mamtede of monetie elcron to frovel senierele freld thot will allaco the from Asint A fo point B by drowmp the fere the abil- in a the dime st takes for the ekcton 6) Find from A 6 B. (me-g/xb é- 4,6 klo" c しゅ5 1ocm
An in faite square Wiell of width L. cated albelhd xzo i's V() 4 At t=o Partick expats in stn with wave fng (1-4 17 7. oslent. बळे पृछ निए यि . i)• Find Value of mo tmah zaton Conatent in weve fon. Exblain Physcical mean cna of euela tion Ku Use whn namelization Coradi ton 2 il>Find Arnbab iltg duity of bastch at t-o and etate baition at which it take max valluez üi). Fnd exh ectation uelne of be tion fir this bantick at Cmplementing Compate Ans with bast ic)- and explacn why these doe di Hos, ts EN) Find hobabifty of finding bat fele to Le in gre! atte tn Exhlein poentico off worve fn that dde de quided for ony erention that You Uk?
show full solution
find th dimension of Streess in SI umit and CGSunit.