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- What pressure of nitrogen gas is required to produce a collision rate of 5.00 × 1019 s−1 at 525 K on a circular patch of surface of diameter 2.0 mm?1. What is the apparent hard-sphere diameter of CO2 at 0°C? The viscosity of CO2(g) at 1 atm and 0°C is 139 μP (micropoise). 2. When equal amounts of hydrogen, H2, and iodine, I2, are mixed together at a total pressure of 1 bar, the partial pressure of hydrogen iodide, HI, vapour produced from by the reaction H2(g) + I2(g) ⇌ 2 HI(g) is 22.8 kPa. Calculate the equilibrium constant for the reaction. 3. The equilibrium constant for the reaction 2HCl(g) + O2(g) ⇌ H2O(g) + Cl2(g) is 13300 at 400 K and 429 at 500 K. Use the van't Hoff equation to determine the standard enthalpy of reaction.In an experiment to determine the surface tension of methanol (ρ = 791 kg m-3 at 298 K) it was found that it rose to a height of 5.8 em in a tube of internal diameter 0.20 mm. What is the surface tension of methanol at 298 K?
- An effusion cell has a circular hole of diameter 2.50 mm. If the molar mass of the solid in the cell is 260 g mol−1 and its vapour pressure is 0.835 Pa at 400 K, by how much will the mass of the solid decrease in a period of 2.00 h?Using given viscosity values, determine the identity of a liquid which would have a diffusion controlled rate constant kd = 7.51 x 106 m3/s mol at 298K Values: Benzene: 0.601 Ethanol: 1.06 Mercury: 1.55 Methanol: 0.553 Pentane: 0.224 Sulfuric acid: 27 Tetrachloromethane: 0.880 Water: 0.891Calculate the viscosity of a liquid sample of density 1.2 g/cm3 ,taking into account that a metallic sphere of density 8.1 g/cm3 and 10 mm diameter takes 8 seconds to move one meter.
- At what pressure does the mean free path of krypton (Kr)atoms (d = 3.16 × 10-10 m) become comparable with thediameter of the 1-L spherical vessel that contains them at300 K? Calculate the diffusion constant at this pressure.Nuclear magnetic resonance can be used to determine the mobility of molecules in liquids. A set of measurements on methane in carbon tetrachloride showed that its diffusion coefficient is 2.05 × 10−9 m2 s−1 at 0 °C and 2.89 × 10−9 m2 s−1 at 25 °C. Deduce what information you can about the mobility of methane in carbon tetrachloride.The diffusion coefficient for molecular iodine in benzene is 2.13 × 10−9 m2 s−1. How long does a molecule take to jump through about one molecular diameter (approximately the fundamental jump length for translational motion)?
- The diffusion coefficient of I2 in hexane at 25 °C is 4.05 × 10−9 m2 s−1. Estimate the time required for an iodine molecule to have a root mean square displacement of 1.0 cm.Calculate the end-to-end distance of a polymer with a molecular weight of 1 million and an intrinsic viscosity of 2.10dl/g and assume Φ=2.1*10^21. What is the solution behavior of the polymer?The diffusion coefficient of glucose in water at 25 °C is 6.73 × 10−10 m2 s−1. Estimate the time required for a glucose molecule to undergo a root-mean-square displacement of 5.0 mm.