The extended Debye-Hückel equation, which incorporates temperature dependence, is expressed as follows:\[\log (\gamma) = \frac{(-1.825 \times 10^6) (\epsilon T)^{-\frac{1}{2}} z^2 \sqrt{\mu}}{1 + \frac{\alpha \sqrt{\mu}}{2.00\sqrt{\epsilon T}}}\]In this equation:- \(\gamma\) is the activity coefficient.- \(\epsilon\) represents the dielectric constant of water (a unitless quantity).- \(T\) is the temperature in Kelvin.- \(z\) denotes the charge of the ion.- \(\mu\) signifies the ionic strength in moles per liter.- \(\alpha\) is the ion size parameter in picometers.The temperature dependence of the dielectric constant is given by:\[\epsilon = 79.755e^{(-4.6 \times 10^{-3})(T - 293.15)}\]where the temperature is in Kelvin.**Problem:**Calculate the value of the activity coefficient of \( \text{Pb}^{2+} \) at 70.0°C when the ionic strength is 0.014 M.\[\gamma = \]This exercise requires finding the activity coefficient, \(\gamma\), for lead ions at a specified temperature and ionic strength using the provided equations.

The temperature-dependent form of the extended Debye-Hückel equation is (-1.825 x 10°) (€T) z² va log (y) = 1+ 2.00VCT where y is the activity coefficient, e is the dielectric constant of water (a unitless quantity), T is the temperature (in Kevin), z is the charge of the ion, µ is the ionic strength (in moles per liter), and a is the ion size parameter (in picometers). The temperature- dependence of the dielectric constant is given by the equation e = 79.755e(-4.6x10~')(T–293.15) where the temperature is in Kelvin. What is the value of the activity coefficient of Pb2+ at 70.00 °C when the ionic strength is 0.014 M?

The temperature-dependent form of the extended Debye-Hückel equation is (-1.825 x 10°) (€T) z² va log (y) = 1+ 2.00VCT where y is the activity coefficient, e is the dielectric constant of water (a unitless quantity), T is the temperature (in Kevin), z is the charge of the ion, µ is the ionic strength (in moles per liter), and a is the ion size parameter (in picometers). The temperature- dependence of the dielectric constant is given by the equation e = 79.755e(-4.6x10~')(T–293.15) where the temperature is in Kelvin. What is the value of the activity coefficient of Pb2+ at 70.00 °C when the ionic strength is 0.014 M?

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

See similar textbooks

Similar questions

please provide full solution (a) If k = 0.08 and n = 1.1, predict the value of concentrations from t = 0 h to t = 5 h to the most accurate value. (b) Calculate the sum of the square of the residual (SSR). where SSR = Σ(Predicted data - Measured data)2
6. Use data from Table 2C.3 and 2C.4, to calculate the standard reaction at 298k of (i) (ii) (iii) 2CH;CHO (g) + O2 (g) -> 2 CH3COOH (I) 2 AgCI (s) + Br2 (1) -> 2 AgBr(s) + Cl2 (g) Hg (I) + Cl2 (g) -> HgCl2 (s)
(b) CMC of a surfactant in water at 25 °C is 0.5 g L-¹ and at 45 °C is 0.3 g L-1. The molar mass of the surfactant is 110 g mol-¹. (i) Calculate: The Gibbs energy of micellisation, AGO, of the surfactant at 25 °C and 45 °C, The fractions (%) of the surfactant molecules in free and in micellar states in 0.5 g L-¹ aqueous solution of the surfactant and temperature 45 °C. ● ● (ii) Calculate CMC for the surfactant in water at 55 °C.
Is the expansion coefficient a path-dependent parameter? Explain in detail in terms of physical chemistry and also help me with some references regarding this topic.
Gibbs energy change, A-G", is related to cell potential, E. by the equation A,G nFE Part A where n is the number of moles of electrons transferred and F = 96 500 C mo]1 is the Faraday's constant. Calculate the standard Gibbs energy change at 25 °C for the following reaction: Mg(s) + Fe" (ag) »Mg+ (ag) + Fe(s) Express your answer to three significant figures and include the appropriate units. • View Available Hint(s) HA ? kJ A,G = 380.20 mol- Submit Previous Answers
Give a clear handwritten answer with explanation
Calcule el potencial estándar de la media reacción: HgS(s) + 2 H* (aq) + 2 e --> Hg() + H2S(g) si para la celda a continuación: Cd [Cd2*(1 M) || HgS(s) H* (1 M)| Hg() | H2S(1 atm)| Pt E°celda= -0.317 V y E° (Cd2+/Cd)= -0.403 V E° (HgS/Hg)= ? Seleccione una: a. 0.400 V b. 0.086 V O c. 0.720 V d. -.086 V e. -0.720 V
Show how the composition of an aqueous solution that contains 30 mmol dm-3 tyrosine varies with pH.
Calculate the equilibrium constant for the ionization equilibrium of sodium atoms at 1000 K. The ionization energy of sodium is 495.8 kJ mol-1.
(2) The solubility of methane in water at 20 °C and 1.00 x 105 Pa pressure is 0.025 g dm-³. What is its solubility in water at 1.25 x 105 Pa and 20 °C?
Tartaric acid can be titrated with a standard alkali. A 25.0 cm3 sample of the acid was exactly neutralized by 27.5 cm of a 0.10 mol dm potassium hydroxide solution. Assuming that tartaric acid is monobasic, calculate the molar concentration of the acid.
Calculate the solubility at 25 °C of AgBr in pure water and in 0.44 M NaI. You'll probably find some useful data in the ALEKS Data resource. Round your answer to 2 significant digits. Solubility in pure water: Solubility in 0.44 M NaI: M Ом