4 a radioactive isotope of plutonium pu 238 is used to make thermoelec
4. A radioactive isotope of plutonium, Pu-238, is used to make thermoelectric power sources for
spacecraft. The half-life of Pu-238 is 87.7 years. A space probe was launched in 2020 with 3.0 kg of
a) Write a function of the form Q(t) = Qu e-kt to model the quantity Q(t) of Pu-238 that is left t years after
the launch in 2020.
b) If 1.6 kg of Pu-238 is required to power the spacecraft's data transmitter, for how long after launch
would scientists be able to retrieve data? (Show your equation and work. Round answer to the
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