Question
Asked Sep 23, 2019
617 views
What is the value of the principal quantum number, n, for
the hydrogen s orbital matching these curves?
n=
How many nodes are predicted by the graph?
Radial wave function
nodes
4
10 15 0 2530 35 40 45 50 55 60 65 70 75 80
Radius (A)
According to the graph, select the appropriate x-axis
values for the location of nodes in terms of the Bohr radii
Here is an expanded view of just
(0.529 Å)
the portion of the graph from
x 0 to x 8
39.5
27.0
3 4 5
6.4
3.9
10.1
0.7
1.9
13.9
20.7
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What is the value of the principal quantum number, n, for the hydrogen s orbital matching these curves? n= How many nodes are predicted by the graph? Radial wave function nodes 4 10 15 0 2530 35 40 45 50 55 60 65 70 75 80 Radius (A) According to the graph, select the appropriate x-axis values for the location of nodes in terms of the Bohr radii Here is an expanded view of just (0.529 Å) the portion of the graph from x 0 to x 8 39.5 27.0 3 4 5 6.4 3.9 10.1 0.7 1.9 13.9 20.7

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Expert Answer

Step 1

(1) The principal quantum number can be given by the below mentioned formula:

Principal quantum number(n) = Number of nodes+1

As per the given curve, there are 4 nodes

Substitute the same in the above formula,

Principal quantum number(n) = 4 + 1 = 5

2) There are 4 nodes located.

Step 2

3) The radial wave function curve is represented by red in the image given. The values for the location of nodes on the X−axis is to be selected by choosing the points, where the curve cuts the X−axis. The curve cuts the X-axis at 4 different points which are 1.9, 6.4,13.9 and 27 (most appropriate from the given list)

Step 3

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Atomic structure

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