CHEMISTRY:CENTRAL SCIENCE-W/MOD.ACCESS
CHEMISTRY:CENTRAL SCIENCE-W/MOD.ACCESS
14th Edition
ISBN: 9780134809694
Author: Brown
Publisher: PEARSON
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Chapter 6, Problem 8E

(a):

Interpretation Introduction

To determine:

Explanation:

Given The wave function for the electron in one dimensional system is,

    Ψ(x)=sinx

The probability density curve for the function Ψ2(x)=sin2x contains all the positive values of the given function over the whole range. Therefore, the probability density curve for the given function is,

CHEMISTRY:CENTRAL SCIENCE-W/MOD.ACCESS, Chapter 6, Problem 8E , additional homework tip  1

Figure 1

(b)

Explanation:

Given The wave function for the electron in one dimensional system is,

    Ψ(x)=sinx

The probability of finding electron for the given function is maximum on the values of x where the probability density curve has the maximum value. For the given function the value of sinx is maximum at the values x=π2 and x=3π2 . Therefore, the probability density curve for the given function has a peak at these values of x where probability of finding an electron is maximum.

(c)

Explanation: The wave function for the electron in one dimensional system is,

    Ψ(x)=sinx

The probability of finding electron for the given function is minimum on the values of x where the probability density curve has the minimum value. For the given function the value of sinx is zero at the value of x=π . Therefore, the probability density curve for the given function has a node at this value of x where probability of finding electron is nil.

Conclusion:

(a) The probability density curve for the given function is as follows:

CHEMISTRY:CENTRAL SCIENCE-W/MOD.ACCESS, Chapter 6, Problem 8E , additional homework tip  2


(b) The values of x is maximum at x=π2 and x=3π2 .
(c) The probability of finding an electron at x=π is zero and this point is called node.

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Chapter 6 Solutions

CHEMISTRY:CENTRAL SCIENCE-W/MOD.ACCESS

Ch. 6.5 - An orbital has n = 4 and ml = 0, 1, 2, 3 -3, - 2,...Ch. 6.5 - What is the designation for the subshell with = 5...Ch. 6.8 - How many of the elements in the second row of the...Ch. 6.8 - Write the electron configuration for silicon,...Ch. 6.9 - A certain atom has an ns2np2electron configuration...Ch. 6.9 - Which group of elements is characterized by an...Ch. 6.9 - A certain atom has a [noble gas]5s24d105p4...Ch. 6.9 - Prob. 6.9.2PECh. 6 - In this chapter, we have learned about the...Ch. 6 - The speed of sound in dry air at 20°C is 343 m/s...Ch. 6 - 6.2 A popular kitchen appliance produces...Ch. 6 - 6.3 The following diagrams represent two...Ch. 6 - 6.4 Stars do not all have the same temperature....Ch. 6 - 6 5 The familiar phenomenon of a rainbow results...Ch. 6 - 6.7 A certain quantum mechanical system has the...Ch. 6 - Consider the three electronic transitions in a...Ch. 6 - Prob. 8ECh. 6 - 6.9 The contour representation of one of the...Ch. 6 - 6.10 The accompanying drawing shows a contour...Ch. 6 - 8.11 Four possible electron configurations for a...Ch. 6 - 6.12 State where in the periodic table these...Ch. 6 - Prob. 13ECh. 6 - 6.14 a What is the relationship between the...Ch. 6 - Label each of the following statements as true or...Ch. 6 - Determine which of the following statements are...Ch. 6 - Arrange the following kinds of electromagnetic...Ch. 6 - List the following types of electromagnetic...Ch. 6 - What is the frequency of radiation that has a...Ch. 6 - What is the frequency of radiation whose...Ch. 6 - A laser pointer used in a lecture hall emits light...Ch. 6 - It is possible to convert radiant energy into...Ch. 6 - If human height were quantized in 1-foot...Ch. 6 - Einstein's 1905 paper on the photoelectric effect...Ch. 6 - Calculate the energy of a photon of...Ch. 6 - Prob. 26ECh. 6 - Prob. 27ECh. 6 - An AM radio station broadcasts at 1010 kHz, and...Ch. 6 - One type of sunburn occurs on exposure to UV light...Ch. 6 - Prob. 30ECh. 6 - Prob. 31ECh. 6 - A stellar object is emitting radiation at 3.55 mm....Ch. 6 - Molybdenum metal must absorb radiation with a...Ch. 6 - Titanium metal requires a photon with a minimum...Ch. 6 - Prob. 35ECh. 6 - Classify each of the following statements as...Ch. 6 - Prob. 37ECh. 6 - 6 38 Indicate whether energy is emitted or...Ch. 6 - Using Equation 6.5. calculate the energy of an...Ch. 6 - Prob. 40ECh. 6 - The visible emission lines observed by Balmer all...Ch. 6 - Prob. 42ECh. 6 - Prob. 43ECh. 6 - The hydrogen atom can absorb light of wavelength...Ch. 6 - Prob. 45ECh. 6 - Prob. 46ECh. 6 - Use the de Brogue relationship to determine the...Ch. 6 - Prob. 48ECh. 6 - Neutron diffraction is an important technique for...Ch. 6 - The electron microscope has been widely used to...Ch. 6 - Using Heisenberg's uncertainty principle,...Ch. 6 - Prob. 52ECh. 6 - Classify the following statements as either true...Ch. 6 - 0 1 2 3 4 5 6 7 8 9 10 Distance from the nucleus,...Ch. 6 - Prob. 55ECh. 6 - Prob. 56ECh. 6 - Prob. 57ECh. 6 - Give the values for n, I,and mlfor each orbital in...Ch. 6 - Prob. 59ECh. 6 - Prob. 60ECh. 6 - Which of the following represent impossible...Ch. 6 - For the table that follows, write which orbital...Ch. 6 - Sketch the shape and orientation of the following...Ch. 6 - Prob. 64ECh. 6 - Prob. 65ECh. 6 - Prob. 66ECh. 6 - Prob. 67ECh. 6 - Prob. 68ECh. 6 - Two possible electron configurations for an Li...Ch. 6 - 6.70 An experiment called the Stern—Gerlach...Ch. 6 - Prob. 71ECh. 6 - Prob. 72ECh. 6 - What are "valence electrons"? What are "core...Ch. 6 - For each element, indicate the number of valence...Ch. 6 - Write the condensed electron configurations for...Ch. 6 - Write the condensed electron configurations for...Ch. 6 - Identify the specific element that corresponds to...Ch. 6 - Identify the group of elements that corresponds to...Ch. 6 - The following do not represent valid ground-state...Ch. 6 - Prob. 80ECh. 6 - Prob. 81AECh. 6 - Prob. 82AECh. 6 - Prob. 83AECh. 6 - Prob. 84AECh. 6 - Prob. 85AECh. 6 - Prob. 86AECh. 6 - Prob. 87AECh. 6 - In an experiment to study the photoelectric...Ch. 6 - Prob. 89AECh. 6 - Prob. 90AECh. 6 - Prob. 91AECh. 6 - Prob. 92AECh. 6 - Prob. 93AECh. 6 - Prob. 94AECh. 6 - Prob. 95AECh. 6 - Prob. 96AECh. 6 - Prob. 97AECh. 6 - Prob. 98AECh. 6 - Prob. 99AECh. 6 - [6.100] The Chemistry and Life box in Section 6.7...Ch. 6 - Prob. 101AECh. 6 - Using the periodic table as a guide, write the...Ch. 6 - Prob. 103AECh. 6 - [6.104] In the experiment shown schematically...Ch. 6 - Microwave ovens use microwave radiation to heat...Ch. 6 - Prob. 106IECh. 6 - The discovery of hafnium, element number 72,...Ch. 6 - Account for formation of the following series of...Ch. 6 - Prob. 109IECh. 6 - The two most common isotopes of uranium are 235U...
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