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Concept explainers
(a)
What is the mass of the unknown element?
(a)
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Answer to Problem 34P
Mass of the unknown element is
Explanation of Solution
Sulfur, manganese and the unknown element are accelerated through the same potential difference. Also they have same charge and kinetic energy. Therefore the equations for kinetic energy of sulfur and unknown element can be equated.
Here,
Simplify equation (I) to get the ratio of
Equate the equations for centripetal acceleration and acceleration due to the magnetic field
Here,
Simplify equation (III) to get
Rewrite equation (IV) to get
Here,
Here,
Take ratio of
Substitute for
Similarly doing find the ratio of radius between manganese ion and sulfur ion.
Simplify equation (IX) to get
Simplify equation (X)
Conclusion
Substitute
Substitute
Substitute
Therefore, the mass of the unknown element is
(b)
Which is the unknown element?
(b)
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Answer to Problem 34P
The unknown element is potassium.
Explanation of Solution
Mass of the unknown element is found as
Conclusion:
Therefore, The unknown element is potassium.
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Chapter 19 Solutions
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