The p H of the solution has to be calculated at 25 ° C Concept Introduction: Acid ionization constant K a : The equilibrium expression for the reaction HA ( a q ) → H + ( a q ) + A - ( a q ) is given below. K a = [ H + ][A - ] [ HA] Where K a is acid ionization constant, [ H + ] is concentration of hydrogen ion, [ A - ] is concentration of acid anion, [ HA] is concentration of the acid Base ionization constant K b The equilibrium expression for the ionization of weak base B will be, B ( a q ) + H 2 O ( l ) → HB + ( a q ) + OH - ( a q ) K b = [ HB + ] [ OH - ] [ B ] Where K b is base ionization constant, [ OH − ] is concentration of hydroxide ion, [ HB + ] is concentration of conjugate acid, [ B] is concentration of the base Relationship between K a and K b K a × K b =K w pH definition: The concentration of hydrogen ion is measured using pH scale. The acidity of aqueous solution is expressed by pH scale. The pH of a solution is defined as the negative base-10 logarithm of the hydrogen or hydronium ion concentration. pH = -log[H 3 O + ]
The p H of the solution has to be calculated at 25 ° C Concept Introduction: Acid ionization constant K a : The equilibrium expression for the reaction HA ( a q ) → H + ( a q ) + A - ( a q ) is given below. K a = [ H + ][A - ] [ HA] Where K a is acid ionization constant, [ H + ] is concentration of hydrogen ion, [ A - ] is concentration of acid anion, [ HA] is concentration of the acid Base ionization constant K b The equilibrium expression for the ionization of weak base B will be, B ( a q ) + H 2 O ( l ) → HB + ( a q ) + OH - ( a q ) K b = [ HB + ] [ OH - ] [ B ] Where K b is base ionization constant, [ OH − ] is concentration of hydroxide ion, [ HB + ] is concentration of conjugate acid, [ B] is concentration of the base Relationship between K a and K b K a × K b =K w pH definition: The concentration of hydrogen ion is measured using pH scale. The acidity of aqueous solution is expressed by pH scale. The pH of a solution is defined as the negative base-10 logarithm of the hydrogen or hydronium ion concentration. pH = -log[H 3 O + ]
Solution Summary: The author explains the equilibrium expression for the ionization of weak base B.
Definition Definition State where the components involved in a reversible reaction, namely reactants and product, do not change concentration any further with time. Chemical equilibrium results when the rate of the forward reaction becomes equal to the rate of the reverse reaction.
Chapter 15, Problem 15.156QP
Interpretation Introduction
Interpretation:
The pH of the solution has to be calculated at 25°C
Concept Introduction:
Acid ionization constantKa:
The equilibrium expression for the reaction HA(aq)→H+(aq)+A-(aq) is given below.
Ka=[H+][A-][HA]
Where Ka is acid ionization constant, [H+] is concentration of hydrogen ion, [A-] is concentration of acid anion, [HA] is concentration of the acid
Base ionization constantKb
The equilibrium expression for the ionization of weak base B will be,
B(aq)+H2O(l)→HB+(aq)+OH-(aq)
Kb=[HB+][OH-][B]
Where Kb is base ionization constant, [OH−] is concentration of hydroxide ion, [HB+] is concentration of conjugate acid, [B] is concentration of the base
Relationship betweenKaandKb
Ka×Kb=Kw
pH definition:
The concentration of hydrogen ion is measured using pH scale. The acidity of aqueous solution is expressed by pH scale.
The pH of a solution is defined as the negative base-10 logarithm of the hydrogen or hydronium ion concentration.
Clouds of hot, luminous interstellar hydrogen gas can be seen in some parts of the galaxy. In some hydrogen atoms, electrons are excited to quantum levels with n = 100 or higher. (a) Calculate the wavelength observed on Earth if the electrons fall from the level with n = 100 to one with n = 2. (b) In what series would this transition be found? (c) Some of these high-energy electrons fall into intermediate states, such as n = 90. Would the wavelengths of a transition from the state with n = 100 to one with n = 90 be longer or shorter than those in the Balmer series? Explain your answer.
In the spectroscopic technique known as photoelectron spectroscopy (PES), ultraviolet radiation is directed at an atom or molecule. Electrons are ejected from the valence shell and their kinetic energies are measured. Since the energy of the incident ultraviolet photons is known and the kinetic energy of the ejected electron is measured, the ionization energy, I, can be deduced because total energy is conserved. (a) Show that the velocity, v, of the ejected electron and the frequency, n, of the incident radiation are related by hv = I + (1/2)mv^2? (b) Use this relation to calculate the ionization energy of a rubidium atom, knowing that light of wavelength 58.4 nm produces electrons with a velocity of 2,450 km/s Recall that 1 J = 1 kg.m^2/s^2
I) In Millikan's experiment, each droplet observed by the technicians contained an even number of electrons. If they had been unaware of this limitation, how would it have affected their report of an electron's charge?II) Millikan measured the charge of an electron in electrostatic units, esu. The data he collected included the following series of charges found on oil drops: 9.60 X 10^-10 esu, 1.92 X 10^-9 esu; 2.40 X 10^-9 esu; 2.88 X 10^-9 esu; and 4.80 X 10^-9 esu. (a) From this series, find the probable charge of the electron in electrostatic units. (b) Estimate the number of electrons in an oil drop with a charge of 6.72 X 10^-9 esu. The actual charge (in Coulombs) of an electron is 1.602 X 10^-19 C. What is the relationship between esu and Coulombs?
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