emmaleelooney
  • emmaleelooney
NEED SOME SERIOUS CHEMISTRY HELP PEOPLE. Iron-59 has a half-life of 45.1 days. How old is an iron nail if the Fe-59 content is 25% that of a new sample of iron? Show all calculations leading to this answer.
Chemistry
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SOLVED
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chestercat
  • chestercat
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emmaleelooney
  • emmaleelooney
@JoannaBlackwelder @MrNood @IrishBoy123 @Somy @ybarrap @acxbox22 @ikram002p @Elsa213
JoannaBlackwelder
  • JoannaBlackwelder
Do you know the exponential decay equation?
emmaleelooney
  • emmaleelooney
noooooo.... @JoannaBlackwelder I don't. Honestly I don't understand this one bit...

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JoannaBlackwelder
  • JoannaBlackwelder
|dw:1434398170221:dw|
JoannaBlackwelder
  • JoannaBlackwelder
A is the amount after decay. Ao is the initial amount.
JoannaBlackwelder
  • JoannaBlackwelder
e is a number k is a constant based on the radioactive material t is time
JoannaBlackwelder
  • JoannaBlackwelder
Does that make sense so far?
emmaleelooney
  • emmaleelooney
yes @JoannaBlackwelder
emmaleelooney
  • emmaleelooney
.....
Cuanchi
  • Cuanchi
Basically you don't need too much calculations. By definition in one half life you will have 50% of the original amount of sample and in two half life you will have the 50% of the 50% of the original sample. In other words you will have the 25% of the original sample. Then after two half life you will have the 25% of the original sample, and if the half life of this isotope Fe-59 is 45.1 days, then after (45.1days x 2) you will have the 25% of your sample. That is how old the iron nail is, not too old just a few months.
emmaleelooney
  • emmaleelooney
ahhhhhh Thank you!
emmaleelooney
  • emmaleelooney
@Cuanchi
Arihangdu
  • Arihangdu
Please can you do all the calculation for this question please.
Cuanchi
  • Cuanchi
Use The formula From @JoannaBlackweler posted above an follow the procedures described in this old Yahoo! Post chemistry - bobpursley, Monday, May 11, 2015 at 2:08pm 25=100 e^(-.693 t/45.1) take the ln of each side... Ln(25)=ln(100) -.693 t/45.1 ln(25)-ln(100)=-.693 t/45.1 ln(25/100)=-.693t/45.1 t= - 45.1/.693 ( ln .25) putting that into the goggle calculator.. t=90.2 days. Now the easy way. to reduct to 1/4, it takes two half lives, or you do it. http://www.jiskha.com/display.cgi?id=1431367255
Arihangdu
  • Arihangdu
I did nit understand this please can some one help me to understand? Where come -.693???
Cuanchi
  • Cuanchi
that number comes from the linearization of the first order reaction and it is equal to ln2 (natural logarithm of 2) because when you introduce in the formula the half life has 1/2 and then apply logarithm you get in the formula ln 2. Also you can think about it like the number Pi in the formula to calculate the length of the circumference. \[2\pi r\] http://chemwiki.ucdavis.edu/Physical_Chemistry/Kinetics/Reaction_Rates/First-Order_Reactions

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