Simplest formulas

Empirical formula — simplest ratio of atoms in a molecule Molecular formula — actual number of atoms in a molecule Structural formula — shows the order of atom linkage... 

Empirical formula Simplest whole-number formula expressing the composition of a chemical compound. For example, the empirical formula for the sesquiterpene bisabolene is C.Hg, while its molecular formula is three times that, giving C15H24. 

The mass of elements in a compound is crucial when solving problems with the Empirical Formula = Simplest Formula empirical formula. First, the number of moles in atoms are found by dividing their masses by their molar masses. Next, the number of moles are either divided by the smallest mole number or, if necessary to calculate mole ratio of elements, multiplied with certain multipliers to get whole numbers for each element. These numbers for different elements provide the empirical formula. 

Ionic compounds, however, are composed of ions, not covalently bonded atoms. For ionic compounds formula mass should be used instead of molecular mass and empirical formula, simplest formula or formula unit should be used instead molecular formula. 

The alkynes have one or more triple bonds (—G=G—) per molecule and have the general formula simplest one is ethyne, com-... 

The empirical formula (simplest formula) of a compound is obtained from the percentage composition of the substance, which is expressed as mass percentages of the elements. To calculate the empirical formula, you convert mass percentages... 

Empirical formula (simplest formula) the formula of a substance written with the smallest integer (whole number) subscripts. (3.5)... 

It is evident that if the molecular weight of a substance is unknown, then its molecular formula cannot be calculated. For such substances, it is, however, possible to calculate die empirical FORMULA—simplest integral ratios in which the atoms combine. For example, the empirical formula corresponding to CsHgCle is CHCl. The weight composition expresses the relative masses of the constituent elements in a particular compound. If we divide each relative mass by the atomic weight of the corresponding element, the relative number of moles of atoms of each constituent element is obtained. 

Structurally benzene is the simplest stable compound having aromatic character, but a satisfactory graphical representation of its formula proved to be a perplexing problem for chemists. Kekule is usually credited with description of two resonating structures which. 

These consist of a chain of carbon atoms each carrying 0 to 3 hydrogen atoms except for the simplest molecule, methane CH. Each carbon atom is linked to four other atoms which can be either carbon or hydrogen. Their general formula is( 2 ... 

There are formulas for determining the NHV of heavy fueis as function of their density and their sulfur content. The simplest is the following ( /ifj... 

The Jacobi method is probably the simplest diagonalization method that is well adapted to computers. It is limited to real symmetric matrices, but that is the only kind we will get by the formula for generating simple Huckel molecular orbital method (HMO) matrices just described. A rotation matrix is defined, for example. 

In the simplest pieture of ehemieal bonding, the valenee moleeular orbitals (jti are eonstrueted as linear eombinations of valenee atomie orbitals X i aeeording to the LCAO-MO formula ... 

Hydrocarbons that contain a carbon-carbon triple bond are called alkynes Non cyclic alkynes have the molecular formula C H2 -2 Acetylene (HC=CH) is the simplest alkyne We call compounds that have their triple bond at the end of a carbon chain (RC=CH) monosubstituted or terminal alkynes Disubstituted alkynes (RC=CR ) have internal triple bonds You will see m this chapter that a carbon-carbon triple bond is a functional group reacting with many of the same reagents that react with the double bonds of alkenes... 

Alkynes are hydrocarbons that contain a carbon-carbon triple bond Sim pie alkynes having no other functional groups or rings have the general formula C H2 -2 Acetylene is the simplest alkyne... 

The leap-frog algorithm uses the simplest central difference formula for a derivative... 

Moles H moles Cl 0.0150 Thus, the simplest, or empirical, formula for the compound is C5H2CI2. 

Sulfoxides are compounds that contain a sulfinyl group covalendy bonded at the sulfur atom to two carbon atoms. They have the general formula RS(0)R, ArS(0)Ar, and ArS(0)R, where Ar and Ar = aryl. Sulfoxides represent an intermediate oxidation level between sulfides and sulfones. The naturally occurring sulfoxides often are accompanied by the corresponding sulfides or sulfones. The only commercially important sulfoxide is the simplest member, dimethyl sulfoxide [67-68-5] (DMSO) or sulfinylbismethane. 

The virial equations are unsuitable forhquids and dense gases. The simplest expressions appropriate (in principle) for such fluids are equations cubic in molar volume. These equations, inspired by the van der Waals equation of state, may be represented by the following general formula, where parameters b, 9 5, S, and Tj each can depend on temperature and composition ... 

If additional, auxiliary constraints are present that are not part of the reaction coordinate (e.g., constraints on covalent bond lengths), the formulas are much more complicated, and the algebra becomes rapidly prohibitive. The same is true when qisa. multidimensional coordinate (e.g., a set of dihedrals). Umbrella sampling approaches (discussed in previous sections) are vastly simpler in such cases and appear to be the method of choice for all but the simplest reaction coordinates. 

Often in stress analysis we may be required to make simplified assumptions, and as a result, uneertainties or loss of aeeuraey are introdueed (Bury, 1975). The aeeuraey of ealeulation deereases as the eomplexity inereases from the simple ease, but ultimately the eomponent part will still break at its weakest seetion. Theoretieal failure formulae are devised under assumptions of ideal material homogeneity and isotropie behaviour. Homogeneous means that the materials properties are uniform throughout isotropie means that the material properties are independent of orientation or direetion. Only in the simplest of eases ean they furnish us with the eomplete solution of the stress distribution problem. In the majority of eases, engineers have to use approximate solutions and any of the real situations that arise are so eomplieated that they eannot be fully represented by a single mathematieal model (Gordon, 1991). 

The simplest aromatic polysulphone, poly-(p-phenylene sulphone) (formula I of Table 21.3) does not show thermoplastic behaviour, melting with decomposition above 500°C. Hence in order to obtain a material capable of being processed on conventional equipment the polymer chain is made more flexible by incorporating ether links into the backbone. 

An analogous series of hydrocarbons, and one of the simplest, are the compounds known as the alkanes. In this series, the names of all the compounds end in -ane. The first compound in this series is methane. Methane s molecular formula is CH. Methane is a gas and is the principal ingredient in the mixture of gases known as natural gas. The next compound is this series is ethane, whose molecular formula is CjHj. It is also a gas present in natural gas, although in a much lower percentage than methane. The difference in the molecular formulas of methane and ethane is one carbon and two hydrogen atoms. 

Whenever a hydrocarbon backbone has two hydroxyl radicals attached to it, it becomes a special type of alcohol known as a glycol. The simplest of the glycols, and the most important, is ethylene glycol, whose molecular formula C2H4(OH)2. The molecular formula can also be written CHjOHCHjOH and may be printed as such on some labels. Ethylene glycol is a colorless, thick liquid with a sweet taste, is toxic by ingestion and by inhalation, and among its many uses is a permanent antifreeze and coolant for automobiles. It is a combustible liquid with a flash point of 240"F. 

The last group of substituted hydrocarbons produced by adding hydroxyl radicals to the hydrocarbon backbone are the compounds made when three hydroxyl radicals are substituted these are known as glycerols. The name of the simplest of this type of compound is just glycerol. Its molecular formula is 3115(011)3. Glycerol is a colorless, thick, syrupy liquid with a sweet taste, and has a flash point of 320°F, and is used to make such diverse products as candy and explosives, plus many more. Other glycerols are made, but most of them are not classified as hazardous materials. 

The simplest of the ethers would be ether that has the simplest hydrocarbon backbones attached those backbones are the radicals of the simplest hydrocarbon, methane. Therefore, the simplest of the ethers is dimethyl ether, whose formula is CH3OCH3. Dimethyl is used because there are two methyl radicals, and di-" is the prefix for two. This compound could also be called methyl methyl ether, or just... 

The next simplest ether is the ether with the simplest alkane as one of the hydrocarbon backbones and the next alkane, which is methyl ethyl ether. Its molecular formula is CH3OC2H5. It is a colorless gas with the characteristic ether odor. It has a flash point of 31 °F, and an ignition temperature of only 374°F. This property, of course, makes it an extreme fire and explosion hazard. 

The amines are a group of compounds with the general formula R-NHj, and all the common amines are hazardous. As a class the amines pose more than one hazard, being flammable, toxic, and, in some cases, corrosive. The amines are an analogous series of compounds and follow the naming pattern of the alkyl halides and the alcohols that is, the simplest amine is methyl amine, with the molecular formula of CH NHj. Methyl amine is a colorless gas with an ammonia-like odor and an ignition temperature of 806°F. It is a tissue irritant and toxic, and it is used as an intermediate in the manufacture of many chemicals. Ethyl amine is next in the series, followed by propyl amine, isopropyl amine, butyl amine and its isomers, and so on. 

A number of attempts to relate the geometric design parameters of a cyclone to the pressure drop have led to various empirical formulas for the loss factor Cf. One of the simplest formulas is an expression proposed by Sheperd and Lapple ... 

Alkanes have the general molecular- formula C H2 +2- The simplest one, methane (CH4), is also the most abundant. Large fflnounts are present in our atmosphere, in the ground, and in the oceans. Methane has been found on Jupiter, Saturn, Uranus, Neptune, and Pluto, and even on Halley s Comet. 

I simplest formula used over the years for the yij is probably that due to Ipjhiniito and Forster (1966), who wrote... 

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