Bmb428_problemsete1

bmb428_problemsete1
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Unformatted text preview: BMB428 Dr. Song Tan Physical Chemistry with Biological Applications Fall 2007 1 Extra Problem Set 1: Ideal gases, heat capacity, enthalpy, entropy 1. To what temperature must a 1.0 l sample of a perfect gas be cooled from 25°C in order to reduce its volume to 100 cm 3 at constant pressure? 2. To what temperature must a sample of a perfect gas of volume 500 ml be cooled from 35°C in order to reduce its volume to 150 cm 3 at constant pressure? 3. At 500°C and 699 Torr, the mass density of sulfur vapor is 3.71 g/l. What is the molecular formula of sulfur under these conditions? Assume the vapor behaves as an ideal gas under these conditions. 4. A perfect gas undergoes isothermal compression, which reduces its volume by 2.20 l (be careful here. make sure you interpret this sentence properly). The final pressure and volume of the gas are 3.78 x 10 3 Torr and 4.65 l respectively. Calculate the original pressure of the gas in (a) Torr, (b) atm 5. A chemical reaction takes place in a container of cross-sectional area 100 cm2. As a result of the reaction, a piston is pushed out through 10 cm against an external pressure of 1.0 atm. Calculate the work done by the system. 6. A chemical reaction takes place in a container of cross-sectional area 50.0 cm2. As a result of the reaction, a piston is pushed out through 15 cm against an external pressure of 121 kPa. Calculate the work done by the system. 7. A sample consisting of 1.0 mol of a monoatomic perfect gas is expanded reversibly and isothermally at 0°C from 22.4 l to 44.8 l. Calculate q, w, E and H. 8. A sample consisting of 2.0 mol of a perfect gas is expanded reversibly and isothermally at 22°C from 22.8 l to 31.7 l. Calculate q, w, E and H. 9. A sample consisting of 1.0 mol of a perfect gas is expanded isothermally at 0°C against a constant external pressure equal to the final pressure of the gas from 22.4 l to 44.8 l. Calculate q, w, E and H. 10. A sample consisting of 2.0 mol of a perfect gas is expanded isothermally at 22°C against a constant external pressure equal to the final pressure of the gas from 22.8 l to 31.7 l. Calculate q, w, E and H....
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