Question

The density of hydrogen gas, H2(g), at STP has been measured to be 0.08988 g/L 5. (a) Calculate the molar volume of this gas at STP. molai mass: (b) Calculate the per cent deviation of this value from the molar volume of an ideal gas, 22.414 L (c) Assuming Charles' law to be valid, calculate the molar volume of this gas at 1.000 atm and 25.00 C. Assuming the molecules of the gas "occupy" equal fractions of the total gas volume, and that the sum of the volumes "occupied" (assigned) to each molecule equals the total volume of the container, calculate the average volume "occupied by' (associated with) a single molecule of this gas at STP. (Note that this average "occupied" volume includes both the volume actually physically occupied by a molecule of hydrogen plus the fraction of the "dead" actually empty- volume in the container associated with (assigned to) it.) ene reac. In thi Vaw to ested. y as [The following calculations are optional. Assuming the hydrogen molecule to be a sphere with a diameter of 130 pm, use the formula. (a) 6. of a sphere, V JE exp (4/3)nr, to calculate the physical volume of one hydrogen molecule. e B moi pa (b) Determine the percentage of the total "occupied" volume per molecule at STP (as calculated in 5(d)) that is actually occupied by the H, molecule, assuming the H, molecule can be approximated by a sphere of diameter 130 pm. The difference between this percentage and one hundred percent is the percentage of "dead" or empty space in the gas sample. (c) Determine the average center-to-center distance between nearest neighbor molecules in a sample of H, gas at STP. (To do this calculation, it is useful to imagine the sample of gas is a cube, which in turn is divided into smaller cubes of equal volume each with one molecule at the center of it.)

Answer 1

Gwen o. 08988 lL at STP STP Canditons Paessune latm Tempenture = Oe = t273k 243k At STP Mass fmle d = Molan masS Mass Inole H() 2.02-3 Mdar velume Malmass Densiby 2.02 0-08188 Mela volune 22.44 paCatoge derishon eaes o Value Uelue xluD Thorchatulus A STP Cdihns,mele any cupes Volume of 22-44 L Scanned with CamScanner

Piedy devikn 44L-22.414L 22. 22 414 O. 06 L xlao 22.414L pexcadpay deihin o.267 to chanle Las V. V= 22.474し T co+273k =273k T25 00c 25.00+273k 218 k 22.424 L 298k 273k 22-474L×218メ 27X 669.252L 11 2 273 224.522-L Scanned with CS CamScanner

At STP Conditons tomole 22.4 L melecule G.e 6.023 xomolecules) 23 The Volune ocaupiedbn at STP y Single molecule ct 22.44 L 23 6.023 X16 23 3.731 xlo Scanned with CS CamScanner