Power output of nuclear battery

[obi-wan]

[SOLVED] Power output of nuclear battery

Homework Statement

An alpha emitter 210Po is used in a nuclear battery. The kinetic energy of the emitted alpha particle is converted into electrical energy at 5% efficiency.

a) determine the initial power output (W) of the battery if it contains 200g of 210Po.
b) determine the power output (W) of the battery in part a after 1 year of operation.

The Attempt at a Solution

I have worked out the following:
alpha particle= 2protons, 2 neutrons, mass= 4.031882u=3.75567GeV= ~ 6.0166x10^-10 Joules. T1/2= 138.376days

I am having difficulties applying this data I have worked out into energy from 200g of 210Po. Can some one enlighten me and put me on the right track? thanks

 

[BigJDubs]

.Answer: a) The initial power output of the battery is 1.85 x 10^6 W. b) The power output of the battery after one year of operation is 4.47 x 10^5 W.