9. A sample of tritium-3 decayed to 94.5% of its original amount after a year(a) What is the half-life of tritium-3?(b) How long would it take the sample to decay to 20% of its original amount?
Image Transcriptionclose
9. A sample of tritium-3 decayed to 94.5% of its original amount after a year (a) What is the half-life of tritium-3? (b) How long would it take the sample to decay to 20% of its original amount?
Consider N (t) is the amount of tritium-3 relative to the original amount, then general form is,
Image Transcriptionclose
N(t) Ce It is known that N (0) = 1, so 1= N(0)1-Ce0) 1 Ce C 1 Also is known that N (1)= 0.945, so 0.945 N(1)0.945 = Ce* 0.945 CeIn(0.945) = În (Ce) In (0.945) k C 1 .N(t) e(0943) = 0.945
(a) The half life time of tritium-3 can be obtained by eq...
Image Transcriptionclose
.N(1) 0.5 0.9456 0.5 In(0.945)-In (0.5) t In (0.945) In (0.5) In(0.5) to In (0.945) to12.25 Thus, the half-life of tritium is approximately 12.25 years
Math
Calculus
Other
Related Calculus Q&A
Find answers to questions asked by student like you
Show more Q&A addQ: Determine if the series below converges or diverges. If it converges, determine what to do.
A: Leibnitz test: If the alternative series, u1 - u2 + u3 – u4 + … (un > 0, for all n) is such that
Q: An oil drilling rig located 14 miles off of a straight coastline is to be connected by a pipeline to...
A: Click to see the answer
Q: Find the derivative of the function f(x)= e^-3x ln x
A: Given function is
Q: A piece of wire of length 63 is cut, and the resulting tow pieces are formed to make a circle and a ...
A: The total length of the wire is 63.Let x be the length of the wire cut for the circle.Then, 63-x is ...
Q: Optimization: You and your classmates have decided to enter an ice sculpting contest. Before you beg...
A: Given an ice block with the following conditions,
Q: Find an equation of the tangent line to the curve at the given point. y = 5ex cos(x), (0, 5)
A: To find the equation of the tangent line at the point (0, 5) to the curve given below.
Q: A common inhabitant of human intestines is the bacterium Escherichia coli. A cell of this bacterium ...
A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for yo...
Q: Can you help me with this problem step by step?
A: To find critical points we set f'(x)=0 and solve for x. Answer(a): -5,5
Q: Optimization: A family wants to build a fence in their backyard for their dogs. If they can only aff...
A: Click to see the answer
