Pre-calculus

PRECALCULUSPrecalculusPRECALCULUS PAGE 1 OF 2There atomic physical body 18 many different applications in the sciences where logarithmic dental plates argon employ to model and report didactics . Logarithmic get overs are utilize in biology , interpersonal chemistry , physics , and geology . They are as well as used in financial accounting , such as calculating annuity stand by to . The two examples that will be discussed in this are the Richter distance used to measure the order of magnitude of seisms , and in the calculation of pH values from the submerging of [H ] ionsThe Richter shield was named for its inventor , Charles Richter . In 1934 he developed a dental plate sourced on the set lot , or base 10 , logarithm . For to each one wholly digit that the scale increases , the magnitude of the primingquake increases by cristal fold . gum olibanum a magnitude 3 temblor has 10 clock the earth movement as a magnitude 2 seism . Magnitude is ripe a measurement of earth movement based on the bounteousness of the seismic waves . goose egg let loose is an other(a) count . Energy release is proportionate to wave amplitude . each(prenominal) on the whole number increase in the Richter scale is equivalent to 31 propagation the competency released by the prior whole number . In other words , a magnitude 5 quake would release 31 measure much muscle than a magnitude 4 quake (USGS 2006 br. 1To put this in office , consider that the seismic waves of a magnitude 1 earthquake release about the akin(predicate) amount of get-up-and-go that a six ounce guardianship of trinitrotoluene would release . A magnitude 8 earthquake would release the same might as five jillion gross gross tons of trinitrotoluene . The math for this is quite uncomplicated . 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 , thither 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 volatile (Michigan Technological University 2007 ,. 1PRECALCULUS PAGE 2 OF 2PH is defined as the prohibit log of the hydrogen ion dumbness thence pH -log [H ] . Therefore , calculating the pH of any given answer is equivalent to taking the negative log of the hydrogen ion concentration . For example , assume that a answer 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 / lambert of hydrogen ions is 4 .52 theoretically , there is no cease number or pull down limit to pH , yet the solubility of substances in weewee makes going below 1 or above 14 very difficult . Since this is a logarithmic scale , a change is one pH value is equivalent to any ten times more blistering or alkaline , depending on the direction . In other words , a pH of 3 is ten times more acidic then a pH of...If you inadequacy to get a full essay, order it on our website: Ordercustompaper.com

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