34. A sample containing sulfur (atomic mass 32 u),manganese (55 u), and an unknown element is placedin a mass spectrometer. The ions have the same chargeand are accelerated through the same potential differ-ence before entering the magnetic field. The sulfur andmanganese lines are separated by 3.20 cm, and theunknown element makes a line between them that is1.07 cm from the sulfur line. (a) What is the mass ofthe unknown element? (b) Identify the element.

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