Homework Help is Here – Start Your Trial Now!
Science
Physics
and they then enter a region of uniform magnetic field. The field bends the ions into circular trajectories, but after just half a circle they either strike the wall or pass through. a small opening to a detector. As the accelerating voltage is slowly increased, different ions reach the detector and are measured. Consider a mass spectrometer with a 200.00 mT magnetic field and an 8.0000 cm spacing between the entrance and exit holes. Figure AV 1 of 1 1 u = 1.6605 x 10-27 kg, e = 1.6022 × 10-¹⁹ C. Atomic masses 12 C 14N 160 Express your answer to five significant figures and include the appropriate units. AVO;= Submit Part B 12.000 u 14.003 u 15.995 u AVN; = μA Value Request Answer What accelerating potential difference AV is required to detect N? Express your answer to five significant figures and include the appropriate units. μÀ Units Value ? C 図]? Units

and they then enter a region of uniform magnetic field. The field bends the ions into circular trajectories, but after just half a circle they either strike the wall or pass through. a small opening to a detector. As the accelerating voltage is slowly increased, different ions reach the detector and are measured. Consider a mass spectrometer with a 200.00 mT magnetic field and an 8.0000 cm spacing between the entrance and exit holes. Figure AV 1 of 1 1 u = 1.6605 x 10-27 kg, e = 1.6022 × 10-¹⁹ C. Atomic masses 12 C 14N 160 Express your answer to five significant figures and include the appropriate units. AVO;= Submit Part B 12.000 u 14.003 u 15.995 u AVN; = μA Value Request Answer What accelerating potential difference AV is required to detect N? Express your answer to five significant figures and include the appropriate units. μÀ Units Value ? C 図]? Units

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
See similar textbooks
icon
Related questions
Question
**Mass Spectrometer Analysis** **Introduction:** (Figure 1) illustrates a mass spectrometer, an analytical instrument used to determine the various molecules in a sample by measuring their charge-to-mass ratio \( \frac{q}{m} \). The sample is ionized, and the positive ions are accelerated from rest through a potential difference \( \Delta V \). They then enter a region of uniform magnetic field, causing the ions to bend into circular trajectories. After half a circle, they either strike the wall or pass through a small opening to a detector. By gradually increasing the accelerating voltage, different ions are detected and measured. The mass spectrometer in this example uses a 200.00 mT magnetic field and has an 8.0000 cm spacing between the entrance and exit holes. **Diagram Explanation:** The diagram shows a side view of the mass spectrometer setup. Ions are accelerated through a potential difference \( \Delta V \), creating a path indicated by a semicircular trajectory towards a detector. The variable spacing \( d \) denotes the distance between entrance and exit holes. **Problem Statement:** **Part A:** Calculate the accelerating potential difference \( \Delta V \) required to detect the ion \( \mathrm{O}_2^+ \). The atomic masses are given as follows: - \( ^{12}\mathrm{C} \): 12.000 u - \( ^{14}\mathrm{N} \): 14.003 u - \( ^{16}\mathrm{O} \): 15.995 u Constants for calculation: - \( 1 \, \text{u} = 1.6605 \times 10^{-27} \, \text{kg} \) - \( e = 1.6022 \times 10^{-19} \, \text{C} \) Express your answer with five significant figures and include appropriate units. \( \Delta V_{\mathrm{O}_2^+} = \) [Value] [Units] **Part B:** Determine the accelerating potential difference \( \Delta V \) needed to detect \( \mathrm{N}_2^+ \). Express your answer with five significant figures and include appropriate units. \( \Delta V_{\mathrm{N}_2^+} = \) [Value] [Units] --- Submit your answers to obtain feedback.
Transcribed Image Text:**Mass Spectrometer Analysis** **Introduction:** (Figure 1) illustrates a mass spectrometer, an analytical instrument used to determine the various molecules in a sample by measuring their charge-to-mass ratio \( \frac{q}{m} \). The sample is ionized, and the positive ions are accelerated from rest through a potential difference \( \Delta V \). They then enter a region of uniform magnetic field, causing the ions to bend into circular trajectories. After half a circle, they either strike the wall or pass through a small opening to a detector. By gradually increasing the accelerating voltage, different ions are detected and measured. The mass spectrometer in this example uses a 200.00 mT magnetic field and has an 8.0000 cm spacing between the entrance and exit holes. **Diagram Explanation:** The diagram shows a side view of the mass spectrometer setup. Ions are accelerated through a potential difference \( \Delta V \), creating a path indicated by a semicircular trajectory towards a detector. The variable spacing \( d \) denotes the distance between entrance and exit holes. **Problem Statement:** **Part A:** Calculate the accelerating potential difference \( \Delta V \) required to detect the ion \( \mathrm{O}_2^+ \). The atomic masses are given as follows: - \( ^{12}\mathrm{C} \): 12.000 u - \( ^{14}\mathrm{N} \): 14.003 u - \( ^{16}\mathrm{O} \): 15.995 u Constants for calculation: - \( 1 \, \text{u} = 1.6605 \times 10^{-27} \, \text{kg} \) - \( e = 1.6022 \times 10^{-19} \, \text{C} \) Express your answer with five significant figures and include appropriate units. \( \Delta V_{\mathrm{O}_2^+} = \) [Value] [Units] **Part B:** Determine the accelerating potential difference \( \Delta V \) needed to detect \( \mathrm{N}_2^+ \). Express your answer with five significant figures and include appropriate units. \( \Delta V_{\mathrm{N}_2^+} = \) [Value] [Units] --- Submit your answers to obtain feedback.
## Understanding the Mass Spectrometer ### Introduction A mass spectrometer is an analytical instrument used to identify various molecules in a sample by measuring their charge-to-mass ratio (\( q/m \)). The process begins with the ionization of the sample, where positive ions are accelerated from rest through a potential difference (\( \Delta V \)). These ions then enter a region with a uniform magnetic field, which bends their paths into circular trajectories. Ions that complete half a circular path may strike a wall or pass through an exit hole to reach a detector. Adjusting the accelerating voltage allows different ions to be detected based on their unique paths and speeds. ### Diagram Overview The figure depicts the mass spectrometer: - **Acceleration Region**: Ions are accelerated through a potential difference (\( \Delta V \)) as they move toward the magnetic field. - **Magnetic Field**: Represented by blue dots, the magnetic field redirects the ions into semicircular paths. - **Detector**: Positioned at the exit path for ions that pass through the exit hole. - **Path**: Ionic paths are curved, and only ions with specific charge-to-mass ratios will reach the detector. ### Variables and Parameters - **Magnetic Field Strength**: 200.00 mT - **Distance (\( d \))**: 8.0000 cm between entrance and exit holes. ### Part B Investigate what accelerating potential difference (\( \Delta V \)) is necessary to detect \( N_2^+ \) ions. **Input Required:** - Express the potential difference to five significant figures with appropriate units. ### Part C Explore the detection of \( CO^+ \) ions, noting that \( N_2^+ \) and \( CO^+ \) have a nominal molecular mass of 28, yet are distinguished by slightly different accelerating voltages. **Input Required:** - Express the potential difference to five significant figures with appropriate units. ### Conclusion Adjusting the potential difference and measuring the resulting ion paths is essential to identifying and distinguishing between ions of similar mass but different compositions in a mass spectrometer.
Transcribed Image Text:## Understanding the Mass Spectrometer ### Introduction A mass spectrometer is an analytical instrument used to identify various molecules in a sample by measuring their charge-to-mass ratio (\( q/m \)). The process begins with the ionization of the sample, where positive ions are accelerated from rest through a potential difference (\( \Delta V \)). These ions then enter a region with a uniform magnetic field, which bends their paths into circular trajectories. Ions that complete half a circular path may strike a wall or pass through an exit hole to reach a detector. Adjusting the accelerating voltage allows different ions to be detected based on their unique paths and speeds. ### Diagram Overview The figure depicts the mass spectrometer: - **Acceleration Region**: Ions are accelerated through a potential difference (\( \Delta V \)) as they move toward the magnetic field. - **Magnetic Field**: Represented by blue dots, the magnetic field redirects the ions into semicircular paths. - **Detector**: Positioned at the exit path for ions that pass through the exit hole. - **Path**: Ionic paths are curved, and only ions with specific charge-to-mass ratios will reach the detector. ### Variables and Parameters - **Magnetic Field Strength**: 200.00 mT - **Distance (\( d \))**: 8.0000 cm between entrance and exit holes. ### Part B Investigate what accelerating potential difference (\( \Delta V \)) is necessary to detect \( N_2^+ \) ions. **Input Required:** - Express the potential difference to five significant figures with appropriate units. ### Part C Explore the detection of \( CO^+ \) ions, noting that \( N_2^+ \) and \( CO^+ \) have a nominal molecular mass of 28, yet are distinguished by slightly different accelerating voltages. **Input Required:** - Express the potential difference to five significant figures with appropriate units. ### Conclusion Adjusting the potential difference and measuring the resulting ion paths is essential to identifying and distinguishing between ions of similar mass but different compositions in a mass spectrometer.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Magnetic field
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON
SEE MORE TEXTBOOKS