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 δv, 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. cm spacing between the entrance and exit holes. to five significant figures, what accelerating potential difference δv is required to detect the ion o+2? 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 = 1.6605×10−27kg, e = 1.6022×10−19c.

atomic masses

12c 12.000 u
14n 14.003 u
16o 15.992 u
express your answer to five significant figures and include the appropriate units.

δvo+2 = v

part b

what accelerating potential difference δv is required to detect n+2?

express your answer to five significant figures and include the appropriate units.

δvn+2 =
v

part c

although n+2 and co+ both have a nominal molecular mass of 28, they are easily distinguished by virtue of their slightly different accelerating voltages. what accelerating potential difference δv is required to detect co+?

express your answer to five significant figures and include the appropriate units.

δvco+ = v