One end of a string is secured to the ceiling and a metal ball of mass 50 g is tied to its other end. The ball is initially at rest in the vertical position. The ball is raised through a vertical...
a. Explain what is meant by the term angular speed. b. This diagram shows a rubber bung, of mass 200 g, on the end of a length of string being swung in a horizontal circle of radius 40 cm. The string...
Seismometers are used to detect and measure the shock waves that travel through the Earth due to earthquakes. This diagram shows the structure of a simple seismometer. The shock wave will cause the...
When a cricket ball hits a cricket bat at high speed it can cause a standing wave to form on the bat. In one such example, the handle of the bat moved with a frequency of 60 Hz with an amplitude of...
This diagram shows a turntable with a rod attached to it a distance 15 cm from the centre. The turntable is illuminated from the side so that a shadow is cast on a screen. A simple pendulum is placed...
This diagram shows the piston of a small car engine that oscillates in the cylinder with a motion that approximates simple harmonic motion at 4200 revs per minute (1rev = 1 cycle). The mass of the...
These graphs show the displacement of a body as it vibrates between two points. Figure 18.40 a. State and explain whether the body is moving with simple harmonic motion. b. Make a copy of the three...
A 50 g mass is attached to a securely clamped spring. The mass is pulled downwards by 16 mm and released, which causes it to oscillate with s.h.m. of time period of 0.84 s. a. Calculate the frequency...
Based on what youve learned about the cause of global warming and its potential consequences, what do you think we should be doing about it, if anything?
If a best-fit line is inserted in a scatterplot, it must pass through every point on the graph.
Astronomers have discovered that, with the exception of a few nearby galaxies, all galaxies in the universe are moving away from our solar system. Moreover, the farther away the galaxy is, the faster...
Research the correlations that have helped researchers understand lead poisoning. Discuss efforts to prevent it. Include discussion of the causes and effects of the lead poisoning that occurred in...
For a random sample of 575 randomly selected car batteries, it was found that their output had a mean of 12.2volts and a standard deviation of 1.4 volts. Notation. In Exercise, identify the notation...
Nielsen Media Research determined the precise proportion of all Americans watching the Super Bowl by conducting a survey of a few thousand households.
I selected three different samples of size n = 10 drawn from the 1500 students at my school, and with these, I constructed the sampling distribution. Does It Make Sense? For Exercises, determine...
What is a null hypothesis and an alternative hypothesis, and what notation do we use to denote them? How do left-tailed, right-tailed, and two-tailed hypothesis tests differ?
A particle, P, is placed on a large, rough, horizontal disc. P is of mass 2.4 kg. The particle is then attached to a light, inextensible string of length 4 m. The string passes through a smooth hole...
In a Wakefield Research survey, 1003 subjects were asked if they ever hesitated to give a handshake because of a fear of germs. Of these respondents, 41.0% answered yes. a. What is the number of...
Listed below are measurements of the head injury criterion (hic) for the following seven small cars tested in crashes by the National Highway Traffic Safety Administration: Chevrolet Aveo, Honda...
Ayurveda is a traditional medical system commonly used in India. Listed below are the lead concentrations (in g/g) measured in different Ayurveda medicines (manufactured in the United States). (Data...
The table below shows the passing records of two rival quarterbacks in the first half and second half of a football game. Who had the higher completion percentage in the first half? Who had the...
The rate constant for the decomposition of a certain substance is 2.80 10 3 dm 3 mol 1 s 1 at 30C and 1.38 10 2 dm 3 mol 1 s 1 at 50C. Evaluate the Arrhenius parameters of the reaction.
Listed below are measurements of specific absorption rate (SAR) of radiation (in W/kg) when these types of cell phones are held to the head: Samsung SGHtss9, Blackberry Storm, Blackberry Curve,...
A small company has six stockholders who vote on opening a new store. The number of shares owned and the vote of each stockholder are given in the table below. Does the new store receive a majority...
Use Table A-1 to find the percentage of pulse rates of adult men between 60 and 80 bpm. Table A-1 Pulse Rates. In Exercises, assume that pulse rates of adult males are normally distributed with a...
A manometer was connected to a bulb containing carbon dioxide under slight pressure. The gas was allowed to escape through a small pinhole, and the time for the manometer reading to drop from 75 cm...
An effusion cell has a circular hole of diameter 2.50 mm. If the molar mass of the solid in the cell is 260 g mol 1 and its vapour pressure is 0.835 Pa at 400 K, by how much will the mass of the...
As shown in Figure 6.11, a roulette wheel has 38 numbers, with 18 odd numbers (black) and 18 even numbers (red), as well as 0 and 00 (which are green). If you bet $5 that the outcome is an odd...
Consider the following table, showing the official mean weight and estimated standard deviation for five U.S. coins. Suppose a vending machine is designed to reject all coins with weights more than 2...
Consider the graph of the normal distribution in Figure 5.15, which gives the relative frequencies in a distribution of body weights for a sample of male students. a. What is the mean of the...
The amount of nicotine absorbed by the human body can be determined by measuring the amount of cotinine (ng/ml) in the blood. Figure 5.9 shows a histogram for the amounts of cotinine measured in 40...
In a study of facial behavior, people in a control group are timed as to the duration of eye contact they make in a 5-minute period. Their times are normally distributed with a mean of 184.0 seconds...
Think about the Coniferophyta and the Magnoliophyta of this chapter. Which has more families, genera, and species? Which has more diversity of body types? Which has species in the greatest number of...
Certain eudicot clades contain plants with many relictual features. Name and describe several.
During fertilization in flowering plants, one sperm cell nucleus fuses with the egg nucleus, producing the diploid zygote. The other sperm nucleus fuses with the ___________________________________,...
What transformations must have occurred if gymnosperms really were the ancestors of angiosperms? Which might have occurred earlier (are present in all relictual angiosperms) and which later (are...
If you spent $5.62 for a pound of coffee in 2012, what would the price have been in 2007? Coffee Index. In Exercises, use the following table of index numbers based on the price of a pound of coffee....
What are the lowest and highest possible pulse rates that could be included in the frequency table? Most Appropriate Display. Exercises describe data sets but do not give actual data. For each data...
A boy cyclist and a girl cyclist are 10 miles apart and pedaling toward each other. The boys rate is 6 miles per hour, and the girls rate is 4 miles per hour. There is also a friendly fly zooming...
Compute the results in Problems 3136. Leave your answers in scientific notation. a. 0.00016 500 2,000,000
Write down indices for the following sets of equidistant planes: e e e
Write the Niggli formula for C 3 N 4 made of identical CN 4 tetrahedra. How many different types of nitrogen vertices are there? What is the coordination number of each?
Suggest the bonding present in the Zintl phase LiAs.
Suggest the bonding present in the Zintl phase CaIn 2 . Verify your suggestions with the ICSD and a structure-drawing program.
CaO adopts the NaCl-type structure with a = 4.80 . (a) Use the BornMayer equation to calculate the lattice-formation energy for CaO. (b) How well does this estimate agree with the value of 3414...
In how many different ways can seven books be arranged on a shelf?
Calculation problem: Testing the null hypothesis that the slope equals zero. Can the relationship be explained by sampling error? Using the face ratio and hockey penalty data from Practice Problem 1,...
Some species seem to thrive in captivity, whereas others are prone to health and behavior difficulties when caged. Maternal care problems in some captive species, for example, lead to high infant...
Construct an MO diagram for trigonal-planar BH3 by analogy with the MOs for trigonal-planar NH 3 in Figure 5.26. Use this diagram to determine the degeneracy and orbital character of the HOMO and the...
Taking into account both attractive and repulsive interactions, derive an equation analogous to Equation (5.2) for the CsCl structure (Figure 1.40). Include the first four terms in the Madelung...
Compare the Lewis dot structure of nitrogen and phosphorus and explain why you might expect these two atoms to exhibit similar bonding properties?
Each of the following molecules has one plane of symmetry. Find the plane of symmetry in each case: a. b. c. d. e. f. CI Me Me Br
Nicotine is an addictive substance found in tobacco. Identify the hybridization state and geometry of each of the nitrogen atoms in nicotine: C-H N. C- H. Nicotine z: I I-O
Predict the products of each of the following reactions: a. b. c. d. e. f. g. h. i. 1) BH3 THF 2) H2O2, NaOH Pt
Identify the reagents you would use to achieve each of the following transformations: (a) (b) (c) (d) (e) OTs `CN
Identify the reagents you would use to accomplish each of the following transformations: a. b. c. d. CI CI .
Identify the reagents you would use to achieve each of the following transformations: a) Convert tert-butyl bromide into a primary alkyl halide b) Convert 2-bromopropane into 1-bromopropane
Identify the reagents you would use to accomplish each of the following transformations: (a) Convert 2-methyl-2-butene into a monosubstituted alkene (b) Convert 2,3-dimethyl-1-hexene into a...
Identify the reagents you would use to accomplish the following transformation - Br Br
Identify the reagents that you would use to accomplish each of the following transformations: a. b. c. d. e. f. g. h. Br-
Identify the reagents you would use to accomplish each of the following transformations: a. b.
When 3-bromo-3-ethylpentane is treated with sodium acetylide, the major products are 3-ethyl-2-pentene and acetylene. Explain why the carbon skeleton does not change in this case, and justify the...
Draw a Lewis structure for each of the following ions; in each case, indicate which atom possesses the formal charge: a. BH 4 b. NH 2 c. C 2 H 5 +
Propose a plausible synthesis for the following transformation, in which the carbon skeleton is increased by only one carbon atom: H.
Propose a plausible synthesis for each of the following transformations: a. b. c. Br Br
Identify any formal charges in the compounds below: a. b. c. d. e. f. g. h. i. H-Al-H I-
Using acetylene as your only source of carbon atoms, design a synthesis of pen-tanal. (Pentanal has an odd number of carbon atoms, while acetylene has an even number of carbon atoms): H.
The regions of + in a compound are the regions most likely to be attacked by an anion, such as hydroxide (HO - ). In the compound below, identify the two carbon atoms that are most likely to be...
Using acetylene as your only source of carbon atoms, identify a synthetic route for the production of 1-bromobutane.
Draw a Lewis structure of a carbon atom that has one extra valence electron (and therefore bears a negative charge). Which second-row element does this carbon atom resemble in terms of the number of...
Propose a plausible synthesis for each of the following transformations: a. b.
Determine the electron configuration for each of the following atoms: a. Carbon b. Oxygen c. Boron d. Fluorine e. Sodium f. Aluminum
Propose a plausible synthesis for each of the following transformations: a. b. c. d. e. HO,
In this chapter, we have seen that an acetylide ion can function as a nucleophile and attack an alkyl halide in an S N 2 process. More generally speaking, the acetylide ion can attack other...
In the previous problem, we saw that an acetylide ion can attack a variety of electrophiles. In Chapter 20, we will see that a C=O bond can also function as an electrophile. Consider the following...
In each case below, identify the acid and the base. Then draw the curved arrows showing a proton transfer reaction. Draw the products of that proton transfer, and then predict the position of...
Rank the following anions in terms of increasing basicity:
Identify reagents that can be used to achieve each of the following transformations: (a) To convert 1-hexene into a primary alcohol (b) To convert 3, 3-dimethyl-1-hexene into a secondary alcohol (c)...
Identify the reagents you would use to accomplish the following transformation. CI
Show at least two different methods for preparing 1-methylcyclohexene from 1-methylcyclohexanol.
Using any reagents of your choosing, show how you would convert tert-butyl alcohol into 2-methyl-1-propanol
Deduce the structure of a compound with molecular formula C 9 H 12 that produces the following 1 H NMR spectrum: Proton NMR Chemical Shift (ppm)
Determine the structure of an alcohol with molecular formula C 6 H 14 O that exhibits the following DEPT-135 spectrum: DEPT-135 70 60 50 40 Chemical Shift (ppm) 30 20 10
Predict the products for each of the following transformations. a. b. aso heat 1) TsCl, py -OH 2) NaOEt
When 1,3-cyclopentadiene is treated with HBr, the temperature does not have an influence on the identity of the major product. Explain.
When 5-deutero-5-methyl-1,3-cyclopentadiene is warmed to room temperature, it rapidly rearranges, giving an equilibrium mixture containing the original compound as well as two others. Propose a...
Deduce the structure of a compound with molecular formula C 8 H 10 O that exhibits the following IR, 1 H NMR, and 13 C NMR spectra. 100 80 60 40 20 2500 2000 Wavenumber (cm-1) 1000 4000 3500 3000...
Why are the triple point temperature and the normal freezing point very close in temperature for most substances?
For each of the following compounds, identify whether each C R C system is cumulated, conjugated, or isolated: (a) (b) (c) (d) HO HO- cis-Aconitic acid Plays a role in the citric acid cycle
Predict the major product for each of the following E2 reactions: a. b. c. d. NaOH Br NaOH Br
For each pair of the following compounds identify which compound would react more rapidly in an E2 reaction: a. b. CI .CI Br Br
Consider the following sequence of reactions, and identify the structures of compounds A, B, and C. Mg Compound A (CeH11Br) Compound B 1) 2) H20 H,SO4 Compound C Heat
Consider the following sequence of reactions, and identify the reagents ah. H. - ob-o - Br
Starting with 1-butanol, show the reagents you would use to prepare each of the following compounds. a. b. c. d. e. H. .
A 1.75 mole sample of an ideal gas is compressed isothermally from 62.0 L to 19.0 L using a constant external pressure of 2.80 atm. Calculate q, w, U, and H.
Two ideal gas systems undergo reversible expansion under different conditions starting from the same P and V. At the end of the expansion, the two systems have the same volume. The pressure in the...
Propose a plausible mechanism for each of the following transformations. a. b. 1) MeMgBr 2) H20 1) Excess MeMgBr 2) H20
Draw a Lewis structure for a compound with molecular formula C 4 H 11 N in which three of the carbon atoms are bonded to the nitrogen atom. What is the geometry of the nitrogen atom in this compound?...
Propose a plausible synthesis for each of the following transformations: a. b. c. d. e. f. g. h. i. j. k. l. m. n. o. p. q. r. s. H.