How Is Initial Power Calculated in a Plutonium-238 Powered Pacemaker?

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SUMMARY

The initial power calculated for a Plutonium-238 powered pacemaker, using 180 mg of the isotope with a half-life of 90 years and an alpha particle energy of 5.10 MeV, is derived from the decay energy conversion. Assuming 100% efficiency, the power output can be calculated using the formula P = W/t, where W is the total energy released from the decays occurring in the first second. The discussion clarifies that "initial" refers to the power output before any decay has occurred.

PREREQUISITES
  • Understanding of radioactive decay and half-life concepts
  • Familiarity with energy units, specifically MeV and Joules
  • Basic knowledge of power calculations, including the relationship between energy and time
  • Proficiency in using formulas for decay and power calculations
NEXT STEPS
  • Calculate the total energy released from 180 mg of Plutonium-238 over one second
  • Explore the conversion of MeV to Joules for accurate energy calculations
  • Learn about the efficiency of energy conversion in radioactive materials
  • Investigate the applications of Plutonium-238 in medical devices beyond pacemakers
USEFUL FOR

Students in nuclear physics, engineers working with medical devices, and professionals involved in the design of power sources for long-term implants will benefit from this discussion.

erinec
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Homework Statement


Plutonium-238 with a half-life of 90 years, emits and alpha particle of energy 5.10 MeV. 180mg of this radioisotope is used to power a pacemaker. Calculate the initial power in mW, supplied by Plutonium-238, assuming a 100% efficiency for the conversion of decay energy into usable power.

Homework Equations


I tried using:
N = No(1/2)^(t/T), where T is the half-life
P = W/t

The Attempt at a Solution


I do not know what "time" to use in order to calculate the power. What does it mean by "initial"?
Help would be very appreciated.
 
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Initial means assuming that none of it has decayed yet
Watts are joules/second so you need to work out how many decays in the first second
 

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