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Chapter 3 Exercises

Chapter 3 Exercises - Exercises . 3....

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Exercises Assume that all gases are perfect and that data refer to 298.15 K unless otherwise stated. 3.1a   Calculate the change in entropy when 25 kJ of energy is transferred reversibly and isothermally as heat to a  large block of iron at (a) 0 ° C, (b) 100 ° C. 3.1b   Calculate the change in entropy when 50 kJ of energy is transferred reversibly and isothermally as heat to a  large block of copper at (a) 0 ° C, (b) 70 ° C. 3.2a   Calculate the molar entropy of a constant-volume sample of neon at 500 K given that it is 146.22 J K 1  mol 1  at  298 K. 3.2b   Calculate the molar entropy of a constant-volume sample of argon at 250 K given that it is 154.84 J K 1  mol 1  at  298 K. 3.3a   Calculate  S  (for the system) when the state of 3.00 mol of perfect gas atoms, for which  C p ,m  =  5 / 2 R ,is changed  from 25 ° C and 1.00 atm to 125 ° C and 5.00 atm. How do you rationalize the sign of  S ? 3.3b   Calculate  S  (for the system) when the state of 2.00 mol diatomic perfect gas molecules, for which  C p ,m  =  7 / 2 R ,is changed from 25 ° C and 1.50 atm to 135 ° C and 7.00 atm. How do you rationalize the sign of  S ? 3.4a   A sample consisting of 3.00 mol of diatomic perfect gas molecules at 200 K is compressed reversibly and  adiabatically until its temperature reaches 250 K. Given that  C V ,m  = 27.5 J K 1  mol 1 , calculate  q w U H , and  S . 3.4b   A sample consisting of 2.00 mol of diatomic perfect gas molecules at 250 K is compressed reversibly and  adiabatically until its temperature reaches 300 K. Given that  C V ,m  = 27.5 J K 1  mol 1 ,calculate  q w U H , and  S . 3.5a   Calculate  H  and  S tot  when two copper blocks, each of mass 10.0 kg, one at 100 ° C and the other at 0 ° C,  are placed in contact in an isolated container. The specific heat capacity of copper is 0.385 J K 1  g 1  and may be  assumed constant over the temperature range involved. 3.5b   Calculate  H  and  S tot  when two iron blocks,each of mass 1.00 kg, one at 200 ° C and the other at 25 ° C, are  placed in contact in an isolated container. The specific heat capacity of iron is 0.449 J K 1  g 1  and may be assumed  constant over the temperature range involved.
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