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CHEM163B_HW2_solutions_2011

CHEM163B_HW2_solutions_2011 - Winter 2011 Chemistry 163B...

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Winter 2011 Chemistry 163B 1 Homework #2 Problems (#6-#15) 6. E&R P2.6 AND calculate q for each of the irreversible and reversible processes in parts a and b. 7. One mole of ideal gas is heated reversibly at a constant pressure of 1 atm from 273.15 K to 373.15 K a. Compute the work involved in the process b. If the gas were expanded reversibly and isothermally at 273.15 K from an initial pressure of 1 atm, what would the final pressure need to be in order to equal the work calculated in part a? 8. A gas has the equation of state PV RT T P . For 1 mole of the gas: a. Show that for a reversible expansion between T 1 and T 2 at constant pressure P, the work done is: 1 2 1 2 w R T T T T P b. Show that for a reversible expansion between V 1 and V 2 at constant temperature T, the work done is: 1 2 ( ) ln ( ) V T w RT V T 9. One mole of ideal gas at 298 K is in a piston at a pressure of 100 atm. a. What is the work done by the gas if it expands isothermally against a constant pressure of 10 atm? b. What is the total work done by the gas if the piston expands against constant pressure in 3 stages, reaching equilibrium between each stage: first against 50 atm, then against 20 atm, and finally against 10 atm.
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