A radioactive substance is onboard a ship when an iceberg rips a hole in the shi
ID: 3422711 • Letter: A
Question
A radioactive substance is onboard a ship when an iceberg rips a hole in the ship hull. The ship sinks, carrying with it the sealed box with 42 pounds of the radioactive substance remaining afternoon t years is giving the equation, Q(t): Q(t)= 42e^-0.0054tQ1: how many pounds of the radioactive substance remain after 25 years? Q2: how many pounds of the radioactive substance remain after 250 years?
A radioactive substance is onboard a ship when an iceberg rips a hole in the ship hull. The ship sinks, carrying with it the sealed box with 42 pounds of the radioactive substance remaining afternoon t years is giving the equation, Q(t): Q(t)= 42e^-0.0054t
Q1: how many pounds of the radioactive substance remain after 25 years? Q2: how many pounds of the radioactive substance remain after 250 years?
Q(t)= 42e^-0.0054t
Q1: how many pounds of the radioactive substance remain after 25 years? Q2: how many pounds of the radioactive substance remain after 250 years?
Explanation / Answer
Q(t)= 42e^-0.0054t
Q1 = 42e^-0.0054*25 =36.7g
Q2= 42e^-0.0054*250 =10.9g
Q(t)= 42e^-0.0054t
take log on both sides
lnQ(t)= ln42 -0.0054t
t=lnQ(t)- ln42/-0.0054
t=-1/-0.0054ln(Q(t)/42)