Chemistry-
General
Easy

Question

There are 0.618 blank mu g blankof blank to the power of 206 end exponent P b and 0.238 blank mu g blankofblank to the power of 238 end exponent U in a rock. If T subscript 50 end subscript of blank to the power of 238 end exponent U is 1.5 cross times 10 to the power of 9 end exponent y r comma age of the rock is

  1. 1.5 cross times 10 to the power of 9 end exponent y r    
  2. 3.0 cross times 10 to the power of 9 end exponent y r    
  3. 4.5 cross times 10 to the power of 9 end exponent y r    
  4. 0.75 cross times 10 to the power of 9 end exponent y r    

The correct answer is: 3.0 cross times 10 to the power of 9 end exponent y r


    Based on rock-dating
    left parenthesis 1 plus fraction numerator open square brackets P b close square brackets over denominator open square brackets U close square brackets end fraction equals open parentheses 2 close parentheses to the power of n end exponent
    open parentheses 1 plus fraction numerator fraction numerator 0.618 blank cross times blank 10 to the power of negative 6 end exponent over denominator 206 end fraction over denominator fraction numerator 0.238 blank cross times 10 to the power of negative 6 end exponent over denominator 238 end fraction end fraction close parentheses equals open parentheses 2 close parentheses to the power of n end exponent
    open parentheses 2 close parentheses to the power of 2 end exponent equals open parentheses 2 close parentheses to the power of n end exponent
    n equals 2
    2 equals fraction numerator t over denominator T subscript 50 end subscript end fraction
    t equals 2 cross times T subscript 50 end subscript equals 3 cross times 10 to the power of 9 end exponent y r

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