Be sure to answer all parts of the question:
a. A fabric remnant from a burial site has a
14C/12C ratio of 0.655 of the original value.
How old is the fabric?
____ yr
b. If 5.01 × 10−9 mol of 176W emits 1.07 ×
1015 β+ in 1.00 h, what is the decay
constant? Enter your answer in scientific
notation.
____ × 10___ h−1
(a) The change in the amount of 14C(N) IS given
d(N)/d(t) = -λ*N where λ is decay constant
integration of above equation -
∫dN/N = -λ∫dt ; N = N0e-λt.........(1)
Half life of carbon is 5730 years
it means at t = t1/2 ; N = N0/2 ; Putting these value in equation (1)
N0/2 =N0e-λt
λ = ln(2) / t1/2 = 0.693/5730=1.21x10-4
yr-1
Given N/N0 = 0.655 Using value of N/N0 and λ in (1)
N/N0 = e-λt
ln(N0/N) = λt ......(2)
t = ln(1/0.655)/1.21x10-4 yr-1 =3496yr
So the fabric is 3496yrs old
(b) N = N0e-λt
Initially no of particle ( N0)= mole*NA =5.01 × 10−9*6.023*1023 = 3*1015
Given N(particles(β+) at any time ) = 3*1015-1.07 × 1015= 2*1015
Time(t) = 1hr
By equation (2)
ln(3*1015/2 × 1015) = λ*1hr ; λ = 0.405hr-1
The decay constant( λ ) =4.05*10-1hr-1
Be sure to answer all parts of the question: a. A fabric remnant from a burial...
A fabric remnant from a burial site has a 14C/12C ratio of 0.771 of the original value. How old is the fabric?
Enter your answer in the provided box. A fabric remnant from a burial site has a c2C ratio of 0.653 of the original value. How old is the fabric? yr
Please show your work. (Note: 1.08 is incorrect, but the 10-1 is correct.) Be sure to answer all parts. If 5.01 x 10-9 mol of 176w emits 1.07 x 1015 β+ in 1.00 h, what is the decay constant? Enter your answer in scientific notation. 1.08 x 10 h1 -1 h-l
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