a 14 gram substance that is used to perserve fruits and vegetables has a k-value of 0.1092. Find the substances half-life in days. Round your answer to the nearest tenths... Formula ( N=N0e^-kt
+130555 N=N0e^-kt
The original amount doesn't matter.....we''re just looking for the time it takes for 1/2 of the substance to decay.....so we have
(1/2) =e^-(.1092t) take the ln of both sides
ln (1/2) = lne^-(.1092t) and we can write
ln(1/2) = -(.1092t) lne and lne = 1 so we have
ln(1/2) = -.1092t divide both sides by -.1092
t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)
+130555 N=N0e^-kt
The original amount doesn't matter.....we''re just looking for the time it takes for 1/2 of the substance to decay.....so we have
(1/2) =e^-(.1092t) take the ln of both sides
ln (1/2) = lne^-(.1092t) and we can write
ln(1/2) = -(.1092t) lne and lne = 1 so we have
ln(1/2) = -.1092t divide both sides by -.1092
t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)
