HeatPhysics 306Homework Assignment 7(Entropy Part 2)1) Classical and Statistical Thermodynamics,...

Question

HeatPhysics 306Homework Assignment 7(Entropy Part 2)1) Classical and Statistical Thermodynamics, Carter Chapter 77.3) Calculate the change in entropy of the universe as a result of each of the followingprocesses:a) A copper block of mass 0.4kgand heat capacity 150JK-1at 100oCis placedin a lake at 10oC.b) The same block at 10oCis dropped from a height of 100minto the lake.c) Two similar blocks at 100oCand 10oCare joined together.d) One kilomole of a gas at 0oCis expanded reversibly and isothermally to twiceits initial volume.e) One kilomole of a gas at 0oCis expanded reversibly and adiabatically to twiceits initial volume.7.7) A 50kgbag of sand at 25oCfalls 10monto the pavement and comes to an abruptstop. Neglect any transfer of heat between the sand and the surroundings andassume that the thermal capacity of the sand is so large that its temperature isunchanged.a) What is dissipative work done on the sand?b) What is the change in internal energy of the sand?c) What is the entropy change associated with this ?Uat constantT(note:The sand does no work as it deforms when it hits the pavement; only itsshape changes, not its volume.)7-8) Two equal quantities of water, each with a massmand at a temperatureT1andT2, are adiabatically mixed together, the pressure remaining constant.a) Show that teh entropy change of the universe is?S= 2mcPln(T1+T22vT1T2).wherecPis the specific heat capacity of the water at constant pressure.b) Show that ?S>0 for any finite temperaturesT1andT2. (Hint:(a-b)2>0for all realaandb XXXXXXXXXXCalculate the velocity of sound in liquidHe4usingc=v1??s=v???.(eq7.22)Take?= 1.48,?= 162kgm-3,and?= 9.43×10-8Pa-1.
7.17 a) The temperature of a block of copper is increased fromT0toTwithout anyappreciable change in its volume. Show that the change in its specific entropyis?s=cPln(TT0)-v0ß2?(T-T0)b) Calculate ?sin units ofJkg-1K-1if the temperature increases from 300Kto 310K. TakecP= 390Jkg-1K-1,ß= 4.9×10-5K-1,and?= 7.7×10-12Pa-1. The density of copper is 9.85×103kgm-3Figure 1: Rudolf Clausius XXXXXXXXXX; file from wikimedia commons

005_alf1jk-jhz4ecyf.pdf 005_vlf1jk-sarbnlph.jpg

Robert · Accepted Answer

7.8 a 
If two equal quantities of water, each with a mass m and at a temperature T1 and 
T2, are adiabatically mixed together, the pressure remaining constant, then final temperature of 
mixture will be 1 2
2
T T
.

HeatPhysics 306Homework Assignment 7(Entropy Part 2)1) Classical and Statistical Thermodynamics, Carter Chapter 77.3) Calculate the change in entropy of the universe as a result of each of the...

Solution

Answer To This Question Is Available To Download

Related Questions & Answers

Submit New Assignment