If 1.65 moles of an ideal gas has a pressure of 2.56 atm and a volume of 81.95 L, what is the temperature of the sample?

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Identify the orbital represented by the quantum numbers given below:

n = 3 l = 1 m _{l} = 0 m _{s} = -1/2

Now select the electron represented by the quantum numbers.

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Find all four quantum numbers (n, l, m_{l}, and m_{s}) for the selected electron below. Select the correct answer for each quantum number.

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Exercise 41. Sketch the galvanic cells based on the following half-reactions. Show the direction of electron flow, show the direction of ion migration through the salt bridge, and identify the cathode and anode. Give the overall balanced equation, and determine *ε*° for the galvanic cells. Assume that all concentrations are 1.0 M and that all partial pressures are 1.0 atm.

b. MnO_{4}^{ -} + 8H ^{+ }+ 5e^{- }→ Mn ^{2+} + 4H_{2}O *ε*° = 1.51 V

IO_{4} ^{-} + 2H ^{+} + 2e^{-} → IO_{3} ^{-} + H_{2}O *ε*° = 1.60 V

**Calculate ΔG° and K at 25°C for the reaction above.**

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Exercise 41. Sketch the galvanic cells based on the following half-reactions. Show the direction of electron flow, show the direction of ion migration through the salt bridge, and identify the cathode and anode. Give the overall balanced equation, and determine *ε*° for the galvanic cells. Assume that all concentrations are 1.0 M and that all partial pressures are 1.0 atm.

a. Cl_{2} + 2e^{-} → 2Cl ^{-} *ε*° = 1.36 V

Br_{2} + 2e^{-} → 2Br ^{-} *ε*° = 1.09 V

**Calculate ΔG° and K at 25°C for the reaction above.**

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Exercise 37. Sketch the galvanic cells based on the following overall reactions. Show the direction of electron flow, and identify the cathode and anode. Give the overall balanced equation. Assume that all concentrations are 1.0 M and that all partial pressures are 1.0 atm.

b. Cu ^{2+}(aq) + Mg(s) ⇌ Mg ^{2+}(aq) + Cu(s)

**Calculate ΔG° and K at 25°C for the reaction above.**

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76

Exercise 42. Sketch the galvanic cells based on the following half-reactions. Show the direction of electron flow, show the direction of ion migration through the salt bridge, and identify the cathode and anode. Give the overall balanced equation, and determine *ε*° for the galvanic cells. Assume that all concentrations are 1.0 M and that all partial pressures are 1.0 atm.

b. Mn ^{2+} + 2e^{-} → Mn *ε*° = —1.18 V

Fe ^{3+} + 3e^{-} → Fe *ε* ° = —0.036 V

**Calculate ΔG° and K at 25°C for the reaction above.**

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76

Exercise 38. Sketch the galvanic cells based on the following overall reactions. Show the direction of electron flow, the direction of ion migration through the salt bridge, and identify the cathode and anode. Give the overall balanced equation. Assume that all concentrations are 1.0 M and that all partial pressures are 1.0 atm.

b. Zn(s) + Ag ^{+}(aq) ⇌ Zn ^{2+}(aq) + Ag(s)

**Calculate ΔG° and K at 25°C for the reaction above.**

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Consider a concentration cell similar to the one shown below, except that both electrodes are made of Ni and in the left-hand compartment [Ni^{2+}] = 1.0 M. Calculate the cell potential at 25°C when the concentration of Ni^{2+} in the compartment on the right has each of the following values.

e. Calculate the potential when both solutions are 2.5 M in Ni ^{2+}.

For each case, also identify the cathode, anode, and the direction in which electrons flow.

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Consider a concentration cell similar to the one shown below, except that both electrodes are made of Ni and in the left-hand compartment [Ni^{2+}] = 1.0 M. Calculate the cell potential at 25°C when the concentration of Ni^{2+} in the compartment on the right has each of the following values.

d. 4.0 X 10 ^{-5} M

For each case, also identify the cathode, anode, and the direction in which electrons flow.

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Consider a concentration cell similar to the one shown below, except that both electrodes are made of Ni and in the left-hand compartment [Ni^{2+}] = 1.0 M. Calculate the cell potential at 25°C when the concentration of Ni^{2+} in the compartment on the right has each of the following values.

c. 0.10 M

For each case, also identify the cathode, anode, and the direction in which electrons flow.

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^{2+}] = 1.0 M. Calculate the cell potential at 25°C when the concentration of Ni^{2+} in the compartment on the right has each of the following values.

b. 2.0 M

For each case, also identify the cathode, anode, and the direction in which electrons flow.

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Exercise 42. Sketch the galvanic cells based on the following half-reactions. Show the direction of electron flow, show the direction of ion migration through the salt bridge, and identify the cathode and anode. Give the overall balanced equation, and determine E° for the galvanic cells. Assume that all concentrations are 1.0 M and that all partial pressures are 1.0 atm.

b. Mn^{2+} + 2e^{-} → Mn E° = -1.18 V

Fe^{3+} + 3e^{-} → Fe E° = -0.036 V

**Give the standard line notation for the given cell above.**

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Exercise 42. Sketch the galvanic cells based on the following half-reactions. Show the direction of electron flow, show the direction of ion migration through the salt bridge, and identify the cathode and anode. Give the overall balanced equation, and determine E° for the galvanic cells. Assume that all concentrations are 1.0 M and that all partial pressures are 1.0 atm.

a. H_{2}O_{2} + 2H^{+} + 2e^{-} → 2H_{2}O E° = 1.78 V

O_{2} + 2H^{+} + 2e^{-} → H_{2}O_{2} E° = 0.68 V

**Give the standard line notation for the given cell above.**

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Exercise 38. Sketch the galvanic cells based on the following overall reactions. Show the direction of electron flow, the direction of ion migration through the salt bridge, and identify the cathode and anode. Give the overall balanced equation. Assume that all concentrations are 1.0 M and that all partial pressures are 1.0 atm.

a. IO_{3}^{-} (aq) + Fe^{2+} (aq) ⇌ Fe^{3+} (aq) + I _{2} (aq)

**Give the standard line notation for the given cell above.**

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Exercise 41. Sketch the galvanic cells based on the following half-reactions. Show the direction of electron flow, show the direction of ion migration through the salt bridge, and identify the cathode and anode. Give the overall balanced equation, and determine E° for the galvanic cells. Assume that all concentrations are 1.0 M and that all partial pressures are 1.0 atm.

b. MnO_{4}^{-} + 8H^{+} + 5e^{-} → Mn^{2+} + 4H_{2}O E° = 1.51 V

IO_{4}^{-} + 2H^{+} + 2e^{-} → IO_{3}^{-} + H_{2}O E° = 1.60 V

**Give the standard line notation for the given cell above.**

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Exercise 41. Sketch the galvanic cells based on the following half-reactions. Show the direction of electron flow, show the direction of ion migration through the salt bridge, and identify the cathode and anode. Give the overall balanced equation, and determine E° for the galvanic cells. Assume that all concentrations are 1.0 M and that all partial pressures are 1.0 atm.

a. Cl_{2} + 2e^{-} → 2Cl ^{- } E° = 1.36 V

Br_{2} + 2e^{-} → 2Br ^{-} E° = 1.09 V

**Give the standard line notation for the given cell above.**

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Exercise 37. Sketch the galvanic cells based on the following overall reactions. Show the direction of electron flow, and identify the cathode and anode. Give the overall balanced equation. Assume that all concentrations are 1.0 M and that all partial pressures are 1.0 atm.

b. Cu^{2+} (aq) + Mg (s) ⇌ Mg ^{2+} (aq) + Cu (s)

**Give the standard line notation for the given cell above.**

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Elements 104, 105, and 106 have been named rutherfordium (Rf), dubnium (Db), and seaborgium (Sg), respectively. These elements are synthesized from californium-249 by bombarding with carbon-12, nitrogen-15, and oxygen-18 nuclei, respectively. Four neutrons are formed in each reaction as well.

(a) Write balanced nuclear equations for the formation of these elements.**(b) Write the equations in shorthand notation.**

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24.82

Iodine-131 is one of the most important isotopes used in the diagnosis of thyroid cancer. One atom has a mass of 130.906114 amu. Calculate the binding energy

(c) per mole in kJ

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24.82

Iodine-131 is one of the most important isotopes used in the diagnosis of thyroid cancer. One atom has a mass of 130.906114 amu. Calculate the binding energy

(b) per atom in MeV

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24.81

Cobalt-59 is the only stable isotope of this transition metal. One ^{59}Co atom has a mass of 58.933198 amu. Calculate the binding energy

(c) per mole in kJ

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24.81

Cobalt-59 is the only stable isotope of this transition metal. One ^{59}Co atom has a mass of 58.933198 amu. Calculate the binding energy

(b) per atom in MeV

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Lead-206 is the end product of ^{238}U decay. One ^{206}Pb atom has a mass of 205.974440 amu. Calculate the binding energy

(c) per mole in kJ

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Lead-206 is the end product of ^{238}U decay. One ^{206}Pb atom has a mass of 205.974440 amu. Calculate the binding energy

(b) per atom in MeV

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