E11A.5(a) The following data were obtained for the absorption at 450 nm by a dye in carbon tetrachloride when using a 2.0 mm cell. Calculate the molar absorption coefficient of the dye at the wavelength employed: [dye]/(mol dm³) T/(per cent) 0.0010 0.0050 0.0100 0.0500 81.4 35.6 12.7 3.0 x 10-3
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- In an experiment to determine the specific surface area of porous carbon using the Langmuir modal, 12.0 cm3 nitrogen gas is absorbed (at the) nitrogen partial pressure of 11.1 kPa. The volume corresponding to that complete coverage was observed to be 105 cm3 and 5 cm3. Calculate the kinetic equilibrium constant of absorption and desorption in this case.The collision frequency z of a molecule of mass m in a gas at a pressure p is z = 4σ(kT/πm)1/2p/kT, where σ is the collision cross-section. Find an expression for the collision-limited lifetime of an excited state assuming that every collision is effective. Estimate the width of a rotational transition at 63.56 cm−1 in HCl (σ = 0.30 nm2) at 25 °C and 1.0 atm. To what value must the pressure of the gas be reduced in order to ensure that collision broadening is less important than Doppler broadening?What are transference numbers and how are they related to ionic mobilities?
- Nitrogen gas adsorbed on a surface to the extent of 1.242 cm3 g−1 at 350 kPa and 180 K, but at 240 K the same amount of adsorption was achieved only when the pressure was increased to 1.02 MPa. What is the enthalpy of adsorption of nitrogen on the surface?Use the data in Table 19D.1 for the exchange-current density and transfer coefficient for the reaction Fe3+ + e− → Fe2+ on platinum at 25 °C to identify the current density needed to obtain an overpotential of 0.30 V as calculated (i) by using the Butler–Volmer equation, and (ii) by assuming that the current is entirely anodic. Comment on the validity of the latter assumption.For 16O2, Δ ᷉ G values for the transitions v = 1 ← 0, 2 ← 0, and 3 ← 0 are, respectively, 1556.22, 3088.28, and 4596.21 cm−1. Calculate ᷉v and xe. Assume ye to be zero.