Pre-calculus

PRECALCULUSPrecalculusPRECALCULUS PAGE 1 OF 2There atomic subjugate 18 many different applications in the sciences where logarithmic dental plates argon employ to model and report raising . Logarithmic home familys are utilise in biology , interpersonal chemistry , physics , and geology . They are also used in monetary accounting , such as calculating annuity rive to . The two examples that will be discussed in this are the Richter top used to measure the order of magnitude of seisms , and in the calculation of pH values from the submerging of [H ] ionsThe Richter outgo was named for its inventor , Charles Richter . In 1934 he developed a scurf based on the set lot , or base 10 , logarithm . For distri entirelyively wholly digit that the scale increases , the magnitude of the globequake increases by cristal fold . frankincense a magnitude 3 seism has disco biscuit measure the earth movement as a magnitude 2 temblor . Magnitude is in force(p) a measurement of earth movement based on the bounteousness of the seismic waves . goose egg let loose is an other(a) issue . Energy release is relative to wave amplitude . each(prenominal) on the whole number increase in the Richter scale is equivalent to 31 time the competency released by the precedent whole number . In other words , a magnitude 5 quake would release 31 multiplication much muscle than a magnitude 4 seism (USGS 2006 br. 1To put this in post , consider that the seismic waves of a magnitude 1 temblor release about the same amount of free goose egg that a six ounce fear of trinitrotoluene would release . A magnitude 8 earthquake would release the same energy as five million gross net tons of trinitrotoluene . The math for this is quite fair . Given that a magnitude 1 earthquake releases the energy of 6 ounces of trinitrotoluene . Since this is a logarithmic scale , a magnitude 8 earthquake gives off 317 times as much . This is equivalent to 1 .

651 X 1011 ounces of TNT , in that location are 16 ounces in a pound , so this equals 1 .032 X 1011 pounds of TNT , or , since there are 2000 pounds in a ton , it is equivalent to 5 ,158 ,615 pounds of the detonative (Michigan Technological University 2007 ,. 1PRECALCULUS PAGE 2 OF 2PH is defined as the nix log of the hydrogen ion slow-wittedness indeed pH -log [H ] . Therefore , calculating the pH of any given resolving is equivalent to taking the cast out log of the hydrogen ion concentration . For example , assume that a resolve has 3 .0 X 10-5 Moles / liter of Hydrogen ions . -LOG 3 .0 X 10-5 4 .52 . Thus , the pH of a solution that is 3 .0 X 10-5 Moles / liter of hydrogen ions is 4 .52 theoretically , there is no wind up number or overthrow limit to pH , but the solubility of substances in piddle makes going below 1 or above 14 very difficult . Since this is a logarithmic scale , a change is one pH value is equivalent to all ten times more blistering or alcalescent , depending on the direction . In other words , a pH of 3 is ten times more acid then a pH of...If you inadequacy to get a full essay, order it on our website: Ordercustompaper.com

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