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(Figure 1) shows a mass spectrometer, an analytical instrument used to identify the various molecules in a sample by measuring their charge-to-mass ratio q/m. The sample is ionized, the positive ions are accelerated (starting from rest) through a potential difference AV, 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 ΔΙ' d Detector < 1 of 1 > ▼ Part A To five significant figures, what accelerating potential difference AV is required to detect the ion O₂? The masses of the atoms are shown in the table; the mass of the missing electron is less than 0.001 u and is not relevant at this level of precision. Use the following constants: 1 u = 1.6605 x 10-27 kg, e = 1.6022 x 10-19 C. Atomic masses 12 C 14N 160 Express your answer to five significant figures and include the appropriate units. Submit ▾ Part B AVO;= Value 12.000 u 14.003 u 15.995 u O AVNI = μA Request Answer What accelerating potential difference AV is required to detect N₂ ? Express your answer to five significant figures and include the appropriate units. μÀ @ Value Units Units ? P ?

(Figure 1) shows a mass spectrometer, an analytical instrument used to identify the various molecules in a sample by measuring their charge-to-mass ratio q/m. The sample is ionized, the positive ions are accelerated (starting from rest) through a potential difference AV, 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 ΔΙ' d Detector < 1 of 1 > ▼ Part A To five significant figures, what accelerating potential difference AV is required to detect the ion O₂? The masses of the atoms are shown in the table; the mass of the missing electron is less than 0.001 u and is not relevant at this level of precision. Use the following constants: 1 u = 1.6605 x 10-27 kg, e = 1.6022 x 10-19 C. Atomic masses 12 C 14N 160 Express your answer to five significant figures and include the appropriate units. Submit ▾ Part B AVO;= Value 12.000 u 14.003 u 15.995 u O AVNI = μA Request Answer What accelerating potential difference AV is required to detect N₂ ? Express your answer to five significant figures and include the appropriate units. μÀ @ Value Units Units ? P ?

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)...
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### Mass Spectrometry and Ion Detection **Section Overview:** Mass spectrometry is an analytical technique used to determine molecular composition by measuring the charge-to-mass ratio (q/m) of ions. The process involves ionizing a sample and accelerating the positive ions through a potential difference (\(\Delta V\)). The ions then move into a magnetic field, creating curved paths. A detector measures these ions based on their trajectories. **Details:** 1. **Figure Explanation:** - The diagram illustrates the setup of a mass spectrometer. Ions are accelerated through a potential difference (\(\Delta V\)) and follow curved paths in a magnetic field. The radius of curvature varies based on the ion's mass, and eventually, ions may either hit the walls or pass through a small opening to a detector. 2. **Magnetic Field and Detection:** - Consider a spectrometer with a 200.00 mT magnetic field and an 8.0000 cm spacing between entrance and exit holes. As the voltage increases, different ions reach the detector according to their mass and charge. **Part A: Oxygen Ion Detection** To detect the ion \( \text{O}_2^+ \), calculate the accelerating potential difference \(\Delta V\) using the atomic masses in the table: - **Atomic Masses:** - \(^{12}\text{C} = 12.000 \, \text{u}\) - \(^{14}\text{N} = 14.003 \, \text{u}\) - \(^{16}\text{O} = 15.995 \, \text{u}\) - **Constants:** - \(1 \, \text{u} = 1.6605 \times 10^{-27} \, \text{kg}\) - \(e = 1.6022 \times 10^{-19} \, \text{C}\) - Calculate \(\Delta V\) for \( \text{O}_2^+ \) and enter your answer to five significant figures, including units. **Part B: Nitrogen Ion Detection** Calculate the accelerating potential difference \(\Delta V\) required for detecting \( \text{N}_2^+ \): - Express your answer to five significant figures, including units. The task involves performing calculations based on physical constants and ion properties to determine the potential differences essential for ion detection
Transcribed Image Text:### Mass Spectrometry and Ion Detection **Section Overview:** Mass spectrometry is an analytical technique used to determine molecular composition by measuring the charge-to-mass ratio (q/m) of ions. The process involves ionizing a sample and accelerating the positive ions through a potential difference (\(\Delta V\)). The ions then move into a magnetic field, creating curved paths. A detector measures these ions based on their trajectories. **Details:** 1. **Figure Explanation:** - The diagram illustrates the setup of a mass spectrometer. Ions are accelerated through a potential difference (\(\Delta V\)) and follow curved paths in a magnetic field. The radius of curvature varies based on the ion's mass, and eventually, ions may either hit the walls or pass through a small opening to a detector. 2. **Magnetic Field and Detection:** - Consider a spectrometer with a 200.00 mT magnetic field and an 8.0000 cm spacing between entrance and exit holes. As the voltage increases, different ions reach the detector according to their mass and charge. **Part A: Oxygen Ion Detection** To detect the ion \( \text{O}_2^+ \), calculate the accelerating potential difference \(\Delta V\) using the atomic masses in the table: - **Atomic Masses:** - \(^{12}\text{C} = 12.000 \, \text{u}\) - \(^{14}\text{N} = 14.003 \, \text{u}\) - \(^{16}\text{O} = 15.995 \, \text{u}\) - **Constants:** - \(1 \, \text{u} = 1.6605 \times 10^{-27} \, \text{kg}\) - \(e = 1.6022 \times 10^{-19} \, \text{C}\) - Calculate \(\Delta V\) for \( \text{O}_2^+ \) and enter your answer to five significant figures, including units. **Part B: Nitrogen Ion Detection** Calculate the accelerating potential difference \(\Delta V\) required for detecting \( \text{N}_2^+ \): - Express your answer to five significant figures, including units. The task involves performing calculations based on physical constants and ion properties to determine the potential differences essential for ion detection
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