Problem Set 2 - Problem Set 2 Chemistry CHEM 213W DUE...

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Problem Set 2: Chemistry CHEM 213W DUE: Friday, January 26, 2001 1. How much work will be produced in the isothermal, reversible expansion from V 1 to V 2 of a gas with the equation of state: p V = RT + ( bRT - a ) V 2. (Barrow, Problem 5-1) The acceleration due to gravity on the earth’s surface is about 9.8 m sec - 2 . a) What is the force of gravity on a 1-kg mass? b) How much mechanical energy could be obtained by fully harnessing the downward move- ment of a 1-kg mass through a distance of 58 m (the height of Niagara Falls)? c) How much thermal energy would be produced if the mass were allowed to fall freely through this distance? d) If the mass consisted of water and all the thermal energy were absorbed by the water, How much would the temperature of the water rise? 3. a) Consider a process where the heat absorbed by the system per mole is given by: d - Q ≡ - 3 a 4 T 3/2 V dT - RT V - b + a 2 T 1/2 V 2 d V Evaluate the heat absorbed by the system along the following paths: i) T 1 V 1 T 2 V 1 T 2 V 2 ii) T 1 V 1
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