document.write( "Question 154765: Still don't undertand this and I have a test tomorrow...yikes!!\r
\n" );
document.write( "\n" );
document.write( "Here's the question:\r
\n" );
document.write( "\n" );
document.write( "A picture that was supposedly painted by Vermeer (1632-1675) contains 99.5% of it's carbon=14. The half life for carbon=14 is 5730 years. Is the picture a fake?\r
\n" );
document.write( "\n" );
document.write( "I know the formula to use is(first, Q_0 = Q-naught) Q=Q_0e^-k5730. And I know Q should equal 1/2, but I can't seem to put it all together. Please help!\r
\n" );
document.write( "\n" );
document.write( "Thanks,
\n" );
document.write( "T \n" );
document.write( "
Algebra.Com's Answer #113967 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! not sure about your formula...\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "for half-life calculations, you are right - there is a 1/2 in the formula\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A=Ao*(1/2)^(t/h)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A is the current amount, Ao is the starting amount, t is the time, h is the half-life\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to find the time __ divide by Ao __ A/Ao=.5^(t/h) __ take log __ ln(A/Ao)=(t/h)ln(.5)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide by ln(.5) __ [ln(A/Ao)]/[ln(.5)]=t/h __ multiply by h __ h{[ln(A/Ao)]/[ln(.5)]}=t\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5730[ln(.995)/ln(.5)]=t __ 41.4=t (approx) __ doesn't seem old enough \n" ); document.write( " |