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A sample containing 12c, 160, and an unknown isotope is analyzed in a mass spectrometer. As in the figure, the ions move around a semicircle before striking a photographic plate. The 12ct and 160* ions are separated by 4.520 cm on the plate, and the unknown isotope strikes the plate 4.900 cm from the 12c* ions. What is the mass of the unknown element? Uniform B between poles of magnet Ion Ions all have same KE source Low-speed ions Photographic plate or other detector AV Accelerating potential

A sample containing 12c, 160, and an unknown isotope is analyzed in a mass spectrometer. As in the figure, the ions move around a semicircle before striking a photographic plate. The 12ct and 160* ions are separated by 4.520 cm on the plate, and the unknown isotope strikes the plate 4.900 cm from the 12c* ions. What is the mass of the unknown element? Uniform B between poles of magnet Ion Ions all have same KE source Low-speed ions Photographic plate or other detector AV Accelerating potential

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 Analysis** A sample containing \( ^{12}\text{C} \), \( ^{16}\text{O} \), and an unknown isotope is analyzed in a mass spectrometer. As illustrated, the ions move in a semicircular path before hitting a photographic plate. The \( ^{12}\text{C}^+ \) and \( ^{16}\text{O}^+ \) ions are separated by 4.520 cm on the plate. The unknown isotope hits the plate 4.900 cm from the \( ^{12}\text{C}^+ \) ions. What is the mass of the unknown element? **Diagram Explanation:** - **Ion Source:** The ions start from an ion source and are initially at a low speed. - **Accelerating Potential (\(\Delta V\)):** The ions are accelerated through an electric potential difference, gaining kinetic energy. - **Uniform Magnetic Field (\( \mathbf{B} \)):** A uniform magnetic field is applied perpendicularly to the ion motion, causing the ions to move in a circular path. - **Path of Ions:** The ions follow a semicircular trajectory due to the perpendicular magnetic force. - **Photographic Plate or Detector:** The trajectory ends at a photographic plate that detects the ions and measures their separation. ### Calculation Using the radii differences and known masses, calculate the mass of the unknown isotope using the physics of circular motion and magnetic forces.
Transcribed Image Text:**Mass Spectrometry Analysis** A sample containing \( ^{12}\text{C} \), \( ^{16}\text{O} \), and an unknown isotope is analyzed in a mass spectrometer. As illustrated, the ions move in a semicircular path before hitting a photographic plate. The \( ^{12}\text{C}^+ \) and \( ^{16}\text{O}^+ \) ions are separated by 4.520 cm on the plate. The unknown isotope hits the plate 4.900 cm from the \( ^{12}\text{C}^+ \) ions. What is the mass of the unknown element? **Diagram Explanation:** - **Ion Source:** The ions start from an ion source and are initially at a low speed. - **Accelerating Potential (\(\Delta V\)):** The ions are accelerated through an electric potential difference, gaining kinetic energy. - **Uniform Magnetic Field (\( \mathbf{B} \)):** A uniform magnetic field is applied perpendicularly to the ion motion, causing the ions to move in a circular path. - **Path of Ions:** The ions follow a semicircular trajectory due to the perpendicular magnetic force. - **Photographic Plate or Detector:** The trajectory ends at a photographic plate that detects the ions and measures their separation. ### Calculation Using the radii differences and known masses, calculate the mass of the unknown isotope using the physics of circular motion and magnetic forces.
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