Answer to Question #97827 in General Chemistry for Brittany Wallace

Question #97827
1. Calculate the de Broglie wavelength, in meters, of a 5500-lb sport-utility vehicle moving at 57 miles per hour.

2. Calculate the wavelength (in nanometers) associated with a positron moving at 5.8 × 104 m/s. The mass of a positron is 9.11 × 10-31 kg.

3. What is the maximum number of orbitals that can be identified with the following quantum numbers: n = 3, ℓ = 2?
a. 7
b. 5
c. 8
d. 18
e. 10
1
Expert's answer
2019-11-05T07:39:28-0500

"\\lambda=h\/p"

"h=6.626\u00d710^{-34}J-s"

"h=6.626\u00d710^{-34}\u00d72.205\u00d76.21\u00d710^{-4}\u00d73600lb.(mile)^2\/hr"

"m=5500 lb"

"v=57miles \/hr"

"p=m\u00d7v=5500\u00d757 lb.mile\/hr"

"p=313500lb.(mile)\/hr"

"\\lambda=32.663\u00d710^{-34}\/313500 m"

"\\lambda=1.042\u00d710^{-38} m" (answer)

2."m=9.11\u00d710^{-31}kg"

"v=5.8\u00d710^4m\/s"

"mv=9.11\u00d710^{-31}\u00d75.8\u00d710^4kg.m\/s"

"mv=52.838\u00d710^{-27}kg.m\/s"

"\\lambda=h\/p"

"\\lambda=6.626\u00d710^{-34}\/52.838 \u00d710^{-27}m"

"\\lambda=1.254\u00d710^{-8}m"

"\\lambda=12.54nm" (answer)

3."n=3"

"l=2"

Subshell - 3d

The subshell 3d contains 5 orbitals and each orbital contains 2 electrons.

(b)----answer














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