CHEM 1050 Lecture Notes - Lecture 32: Radioactive Decay, Pre-Exponential Factor, Gibbs Free Energy
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Formula that you give the concentraion of reactants (or products) at ay ime from the start of the reacion if the iniial concentraion is known. [a] vs. t produces a straight line where the slope is the value of k and will be a negaive value. Rate is dependent on the concentraion of a. A 0 ln [ a t ]= kt+ ln ] lna vs. t produces a straight line where the slope=-k. Radioacive decay is 1st order kineics where decay= final activity initial activity. Units of k m-1s-1 or l/mol(s) 1/[a] vs. t produces a straight line where the slope is k. Or, t1/2=15. 2mins=ln2/k k=4. 56x10-2 ln [ a ] ln [ a 0] Example: a piece of wood has carbon-14 acivity that is 90% of the current carbon acivity. How old is the wood? (t1/2 is 5. 73x103 years) k = ln 2. Calculate k if iniial rate is 10m/s at 25c.