A sample containing 12C, 16O, and an unknown isotope is analyzed in a mass spectrometer. As in Fig. 19.17(a), the ions move around a semicircle before striking a photographic plate. The 12C+ and 16O+ ions are separated by 2.250 cm on the plate, and the unknown isotope strikes the plate 1.160 cm from the 12C+ ions. What is the mass of the unknown element?
In each of these problems, the ions entering the mass spectrometer have the same charges. Except in Problem 30, the ions enter the magnetic field with equal kinetic energies (not equal speeds). Use these atomic mass values: 12C, 12.00 u; 14C, 14.00 u; 16O, 15.99 u. The conversion between atomic mass units and kilograms is 1 u = 1.66 × 10−27 kg.