A radioactive isotope of the element Xz has a decay constant λ and releases Q joules of energy with each decay. Determin

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A radioactive isotope of the element Xz has a decay
constant λ and releases Q joules of energy with each
decay. Determine the following quantities for a sample
of Xz that has a total of N nuclei: (a) the
initial activity of the sample; (b) the initial power being
radiated from the sample due to radioactive decay; (c) the time at
which 90% of the nuclei have decayed; and (d) the activity
when t=3×T1/2t=3×T1/2. Part A Write down the formula for the
activity in terms of NN and λλ. Express your answer
in terms of the variables NNN and λλlambda. activity
= Part B Derive an expression for the power released in terms of
activity and QQ. Express your answer in terms of some or all
of the variables QQQ, NNN, and λλlambda.
PP = Part C Write down the equation for the number of nuclei
as a function of time tt. Express your answer in terms of
some, all, or none of the
variables NNN, λλlambda, and ttt, and the
constant eee. N(t)N(t) = Part D Identify the physical
meaning of the half-life. Match the words in the left column to the
appropriate blanks in the sentences on the right. Make certain each
sentence is complete before submitting your answer.