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Unformatted text preview: HW #1 Key 1/21/2011 6. Q. Research in surface science is carried out using ultra-high vacuum chambers that can sustain pressures as low as 10-12 torr. How many molecules are there in a 1.00cm 3 volume inside such an apparatus at 298K? What is the corresponding molar volume at this pressure and temperature? A. Assume Ideal gas behavior, = ? Inserting the appropriate constants for the units, 10 12 ? (1.00 ? 3 ) 82.058 ? 3 ? ??? 1 1 760 ? ? 1 (298 ) = ? Gives 3.24x10 4 molecules in 1 cubic centimeter inside the apparatus. The molar volume, = ? where n is the number of moles, or our solution from above divided by Avogadros number is = 1.00 ? 3 5.38 10 20 ??? = 1.86 10 19 ? 3 ??? 1 11. Q. It takes 0.3625 g of nitrogen to fill a glass container at 298.2K and 0.0100 bar pressure. It takes 0.9175 g of an unknown homonuclear diatomic gas to fill the same bulb under the same condidtion, 0....
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