sapling learning his graph shows two curves pertaining to a hydrogen s orbital.
ID: 872302 • Letter: S
Question
sapling learning his graph shows two curves pertaining to a hydrogen s orbital. What is the value of the principal quantum number, n, for the hydrogen s orbital matching these curves? How many nodes are predicted by this figure? According to the figure, select the 0.7 appropriate x-axis values for the location of nodes in terms of the 1.9 Bohr radii. 3.9 6.4 10.1 13.9 20.7 27.0 39.5 radial probability distribution MAN lal Wave function 5 20 25 30 35 40 45 50 55 60 65 70 75 80 Bohr Radii (0.529 Here is an expanded view of just the portion of the graph from x 0 to x 8. 0 0 1 2 3 4 5 6 7 8Explanation / Answer
1. There are 5 humps in the graph of probability function.
Therefore the principle quantum no should be 5. ( n=5)
2. No of nodes in s orbitals given by the equation
No of nodes = (n-1) = (5-1) = 4 nodes
3.
Approximate X values of 4 nodes are 1.9, 6.4, 13.9, 27.0
Bohr radii is 0.529 A ( a0 = 0.529 A )
Therefore the X values of nodes in terms of a0 are 1.9, 6.4, 13.9, 27.0
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