document.write( "Question 110865: Half life question. Please help if possible.\r
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document.write( "The half-life of the radioactive element plutonium-239 is 25,000 years. If 16 grams of plutonium-239 are initially present, how many grams are present after 25,000 years? 50,000 years? 75,000 years? 100,000 years? 125,000 years? \n" );
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Algebra.Com's Answer #80975 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! : \n" ); document.write( "The half-life of the radioactive element plutonium-239 is 25,000 years. If 16 grams of plutonium-239 are initially present, how many grams are present after 25,000 years? \n" ); document.write( ": \n" ); document.write( "The half life formula: A = Ao(2^(-t/h) where \n" ); document.write( "Ao = original amt \n" ); document.write( "t = time \n" ); document.write( "h = half life of the material \n" ); document.write( "A = resulting amt \n" ); document.write( ": \n" ); document.write( "Substituting for plutonium-239: \n" ); document.write( ": \n" ); document.write( "A = 16(2^(-25000/25000) \n" ); document.write( "A = 16(2^-1); (you know that 2^-1 = 1/2 or .5, try it on a good calc) \n" ); document.write( "A = 16 * .5 \n" ); document.write( "A = 8 oz, as you would expect \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "50,000 years? \n" ); document.write( ": \n" ); document.write( "A = 16(2^(-50000/25000) \n" ); document.write( "A = 16(2^-2); (2^-2) = 1/4) \n" ); document.write( "A = 16 * .25 \n" ); document.write( "A = 4 oz after 50k yrs \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "75,000 years? \n" ); document.write( ": \n" ); document.write( "A = 16(2^(-75000/25000) \n" ); document.write( "A = 16(2^-3) \n" ); document.write( "A = 16 * .125 \n" ); document.write( "A = 2 oz after 75k yrs \n" ); document.write( ": \n" ); document.write( "you should be able to do the rest of them now\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "100,000 years? 125,000 years? \n" ); document.write( " \n" ); document.write( " |