A radioactive substance is onboard a ship when an iceberg rips a hole in the shi

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^-0.0054t
Q1: how many pounds of the radioactive substance remain after 25 years? Q2: how many pounds of the radioactive substance remain after 250 years?


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)

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.