The isotope of plutonium 238Pu is used to make thermoelectric power sources for spacecraft. Suppose that a space probe was launched in 2012 with 3.0 kg of 238Pu. a)If the half-life of 238Pu is 87.7 yr, write a function of the form Q(t)= to model the quantity Qt of 238Pu left after t years. Round the value of k to five decimal places. Do not round intermediate calculations. Q(t)=? b) If 1.5 kg of 238Pu is required to power the spacecraft's data transmitter, for how long after launch would scientists be able to receive data? Round to the nearest year. Do not round intermediate calculations. Scientists will be able to receive data for approximately____years.

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The isotope of plutonium 238Pu is used to make
thermoelectric power sources for spacecraft.
Suppose that a space probe was launched in 2012
with 3.0 kg of 238Pu.
a)If the half-life of 238Pu is 87.7 yr, write
a function of the form Q(t)= to model the
quantity Qt of 238Pu left after t years. Round the
value of k to five decimal places. Do not round
intermediate calculations.
Q(t)=?
b) If 1.5 kg of 238Pu is required to power the
spacecraft's data transmitter, for how long
after launch would scientists be able to receive
data? Round to the nearest year. Do not round
intermediate calculations.
Scientists will be able to receive data for
approximately ____years.
Transcribed Image Text:The isotope of plutonium 238Pu is used to make thermoelectric power sources for spacecraft. Suppose that a space probe was launched in 2012 with 3.0 kg of 238Pu. a)If the half-life of 238Pu is 87.7 yr, write a function of the form Q(t)= to model the quantity Qt of 238Pu left after t years. Round the value of k to five decimal places. Do not round intermediate calculations. Q(t)=? b) If 1.5 kg of 238Pu is required to power the spacecraft's data transmitter, for how long after launch would scientists be able to receive data? Round to the nearest year. Do not round intermediate calculations. Scientists will be able to receive data for approximately ____years.
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