Explanation Given Info: The mass of CO is 28 .0134u . The mass of N 2 is 28.0106u. The distance between CO and N 2 is 0.5mm or 0 .50×10 -3 m . Formula Used: The ions inside the mass spectrometer travel in a circular path. Magnetic force= centripetal force QvB 2 = mv 2 r •Q is the charge of ions •‘v’ is the velocity of ions •B 2 is the magnetic field. •‘r’ is the radius of spectrometer •‘m’ is the mass of the ion. v= QB 2 r m (I) Similarly, Electric force= magnetic force for second ion QE=QvB 1 •B1 is the magnetic field for second chamber •E is the electric field v= E B 1 (II) Equating equation (I)and (II), E B 1 = QB 2 r m r= mE QB 1 B 2 (III) Substituting r N 2 for N 2 and r CO for CO we find the radius of the two molecules r N 2 = M N 2 E QB 1 B 2 (IV) • r N 2 is the radius of N 2. • M N 2 is the mass of N 2 . And r CO = M CO E QB 1 B 2 (V) • r CO is radius of CO • M CO is radius of CO Dividing equation (IV)and (V), r N 2 r CO

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Author: Douglas C. Giancoli

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Chapter 20, Problem 60P

To determine

The radius of curvature of mass spectrometer ( $r_{CO}$ )

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Chapter 20, Problem 59P

Chapter 20, Problem 61P

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