(27) What is the value of the equilibrium constant (Kea) when the following redox reaction takes place at 727°C? Mn (s) + Sn (aq) → Mn² (aq) + Sn² (aq) (A) 2.55 x 10¹3 (B) 2.76 x 10¹8 (C) 7.62 x 10³ (D) 5.23 x 10-15 (E) 3.62 x 10-19 The most convenient form of the equation for this one might not be on your note sheet. I suggest using: ECELL == RT nF In K (28) An archaeologist claims that a bone in her collection is from a saber-toothed tiger that is believed to have lived 11,000 years ago. Given the half-life of carbon-14 is 5730 years, and the carbon-14 decay rate of living organisms is 15.3 disintegrations per minute per gram, if the archaeologist's claim is valid, what will be the decay rate (in disintegrations per minute per gram) of the bone? 2.23 1.40 10 (A) (B)(CD)(日) 4.04 57.9 15.3
(27) What is the value of the equilibrium constant (Kea) when the following redox reaction takes place at 727°C? Mn (s) + Sn (aq) → Mn² (aq) + Sn² (aq) (A) 2.55 x 10¹3 (B) 2.76 x 10¹8 (C) 7.62 x 10³ (D) 5.23 x 10-15 (E) 3.62 x 10-19 The most convenient form of the equation for this one might not be on your note sheet. I suggest using: ECELL == RT nF In K (28) An archaeologist claims that a bone in her collection is from a saber-toothed tiger that is believed to have lived 11,000 years ago. Given the half-life of carbon-14 is 5730 years, and the carbon-14 decay rate of living organisms is 15.3 disintegrations per minute per gram, if the archaeologist's claim is valid, what will be the decay rate (in disintegrations per minute per gram) of the bone? 2.23 1.40 10 (A) (B)(CD)(日) 4.04 57.9 15.3
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...
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![### Chemistry and Archaeology: Exam Practice Questions
#### Question 27:
**What is the value of the equilibrium constant (K_eq) when the following redox reaction takes place at 727°C?**
\[ \text{Mn (s) + Sn}^{4+} \text{(aq)} \rightarrow \text{Mn}^{2+} \text{(aq) + Sn}^{2+} \text{(aq)} \]
Options:
- (A) \( 2.55 \times 10^{3} \)
- (B) \( 2.76 \times 10^{14} \)
- (C) \( 7.60 \times 10^{10} \)
- (D) \( 5.23 \times 10^{23} \)
- (E) \( 3.62 \times 10^{19} \)
**Note:**
The most convenient form of the equation for this one might not be on your note sheet. I suggest using:
\[ \frac{E^{\circ}_{\text{cell}}}{RT/nF} = \ln K \]
#### Question 28:
**An archaeologist claims that a bone in her collection is from a saber-toothed tiger that is believed to have lived 11,000 years ago. Given the half-life of carbon-14 is 5730 years, and the carbon-14 decay rate of living organisms is 15.3 disintegrations per minute per gram, if the archaeologist’s claim is valid, what will be the decay rate (in disintegrations per minute per gram) of the bone?**
Options:
- (A) 2.23
- (B) 1.40
- (C) 4.04
- (D) 57.9
- (E) 15.3
### Explanation of Formulas and Concepts
**Redox Reactions and Equilibrium Constant:**
In question 27, understanding of redox reactions and how to calculate the equilibrium constant is assessed. The given equation and notations might need conversion using the Nernst equation for calculating equilibrium constants at given temperatures.
**Carbon-14 Dating:**
In question 28, the application of carbon-14 dating highlights the importance of knowing the half-life of isotopes and how to calculate the decay rates over a certain period. This requires understanding of logarithmic decay and half-life](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc0633024-a4bc-4f66-b9e9-fd2e8bdcc354%2F97caec51-7922-45e4-a535-4d7ee7958b63%2Fpjy759c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Chemistry and Archaeology: Exam Practice Questions
#### Question 27:
**What is the value of the equilibrium constant (K_eq) when the following redox reaction takes place at 727°C?**
\[ \text{Mn (s) + Sn}^{4+} \text{(aq)} \rightarrow \text{Mn}^{2+} \text{(aq) + Sn}^{2+} \text{(aq)} \]
Options:
- (A) \( 2.55 \times 10^{3} \)
- (B) \( 2.76 \times 10^{14} \)
- (C) \( 7.60 \times 10^{10} \)
- (D) \( 5.23 \times 10^{23} \)
- (E) \( 3.62 \times 10^{19} \)
**Note:**
The most convenient form of the equation for this one might not be on your note sheet. I suggest using:
\[ \frac{E^{\circ}_{\text{cell}}}{RT/nF} = \ln K \]
#### Question 28:
**An archaeologist claims that a bone in her collection is from a saber-toothed tiger that is believed to have lived 11,000 years ago. Given the half-life of carbon-14 is 5730 years, and the carbon-14 decay rate of living organisms is 15.3 disintegrations per minute per gram, if the archaeologist’s claim is valid, what will be the decay rate (in disintegrations per minute per gram) of the bone?**
Options:
- (A) 2.23
- (B) 1.40
- (C) 4.04
- (D) 57.9
- (E) 15.3
### Explanation of Formulas and Concepts
**Redox Reactions and Equilibrium Constant:**
In question 27, understanding of redox reactions and how to calculate the equilibrium constant is assessed. The given equation and notations might need conversion using the Nernst equation for calculating equilibrium constants at given temperatures.
**Carbon-14 Dating:**
In question 28, the application of carbon-14 dating highlights the importance of knowing the half-life of isotopes and how to calculate the decay rates over a certain period. This requires understanding of logarithmic decay and half-life
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