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Bride, Limited Edition Print Madonna with Two 4nfe/es framed Limited Edition Canvas Cecclia MisterworC Cecelia Limited Editian Print Gift for Mrs _ Claus _ Annivers...

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Bride, Limited Edition Print Madonna with Two 4nfe/es framed Limited Edition Canvas Cecclia MisterworC Cecelia Limited Editian Print Gift for Mrs _ Claus _ Anniversary Edition Canvas Michael the Archangel Baltles the Dragon While Almost Nol Maslerwork Responsibl Woman, The 4nniversan Edition Canvas Men and Angels Limited Edition Canvas Men and Angels Limited Edition Print Angel with Epaulet Limited Edition Canvas Beggar Princess and the Magic Rose, The Limited Edition Canvas Resistance Training Limited Edition Canvas Hold to the Rod_ Lhie Iron Rod Limited Editian Canvas Burden of the Responsible Man, Tne Anniversan Edition Canvas False Magic Lirited Edition Canvas Place of Her Own Limited Edition Canvas Place of Her Own_ MlastcrworC Canvas Edition First Rose Sma Ilwork Canvas Edition Return of the Fablemaker, The Masterwork Sometimes the Spirit Touches Us Through Our Weaknesses Anniversary Edition Canvas Angel Unaware Limited Edition Print Parables Mlaslerwork Angel Unabseryeo Smallwork Canvas Edition Tempus Fugit Smallwork Canvas Edition collece = Magical Knowledge ersonal Commissian Masterwork Hold the Rod, the Iron Rod (Remarque) Limited Edition Print Angel Limited Editian Canvas Angel with Two Faeries Limited Edition Canvas Eulo 275 May _ Jun-05 Limited Availabili Aug 05 Yes Sep-05 Yes Oct-05 Apr-06 Aug-06 Sep-06 Sep-06 Dcc 06 Mar-07 Yes Apr-07 Limited Availabili Jun-07 Yes Nou-07 Apr-08 Yes Aug-08 Yes Ave 08 Yes Apr-09 Yes Aug-09 Yes Aup-09 Yes Oct-0g Yes 09 Limited Avallabili Mar-10 Yes Apr-10 Limited Availabili Jul-l1 Jan-12 Yes Aup-13 Yes Oct-13 Limited Availabili Der_Z 038 425 450 650 { 395 : 450 195 995 475 '950 500 250 340 225 650 310 090 295 300 495 425 349 075 490 240 275 295 950 375 2,037 922 695



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At the end of World War II, Dutch authorities arrested Dutch
artist Hans van Meegeren for treason because, during the war, he
had sold a masterpiece painting to the Nazi Hermann Goering. The
painting, Christ and His Disciples at Emmaus by Dutch master
Johannes Vermeer $(1632-1675)$ , had been discovered in 1937 by
van Meegeren, after it had been lost for almost 300 years. Soon after the discovery, art experts proclaimed that Emmaus was possi-
bly the best Vermeer ever seen. Selling such a Dutch national
treasure to the enemy was unthinkable treason.
However, shortly after being imprisoned, van Meegeren suddenly announced that he, not Vermeer, had painted Emmaus. He
explained that he had carefully mimicked Vermeer's style, using a
300 -year-old canvas and Vermeer's choice of pigments; he had then
signed Vermeer's name to the work and baked the painting to give
it an authentically old look.
Was van Meegeren lying to avoid a conviction of treason, hop-
ing to be convicted of only the lesser crime of fraud? To art experts,
Emmaus certainly looked like a Vermeer but, at the time of van
Meegeren's trial in $1947,$ there was no scientific way to answer the
question. However, in 1968 Bernard Keisch of Carnegie-Mellon
University was able to answer the question with newly developed
techniques of radioactive analysis.
Specifically, he analyzed a small sample of white lead-bearing
pigment removed from Emmaus. This pigment is refined from lead
ore, in which the lead is produced by a long radioactive decay series that starts with unstable 28 $\mathrm{U}$ and ends with stable 206 $\mathrm{Pb}$ . To fol-
low the spirit of Keisch's analysis, focus on the following abbreviated portion of that decay series, in which intermediate, relatively
short-lived radionuclides have been omitted:
$$
^{230} \mathrm{Th} \longrightarrow_{75.4 \mathrm{ky}}^{226} \mathrm{Ra} \longrightarrow_{1.60 \mathrm{ky}}^{210} \mathrm{Pb} \longrightarrow_{22.6 \mathrm{ky}}^{206} \mathrm{Pb}.
$$
The longer and more important half-lives in this portion of the de-
cay series are indicated.
\begin{equation}
\begin{array}{l}{\text { (a) Show that in a sample of lead ore, the rate at which the }} \\ {\text { number of }^{210} \mathrm{Pb} \text { nuclei changes is given by }}\end{array}
\end{equation}
$$
\frac{d N_{210}}{d t}=\lambda_{226} N_{226}-\lambda_{210} N_{210}
$$
where $N_{210}$ and $N_{226}$ are the numbers of $^{210} \mathrm{Pb}$ nuclei and 226 $\mathrm{Ra}$ nuclei in the sample and $\lambda_{210}$ and $\lambda_{226}$ are the corresponding disintegration constants.
Because the decay series has been active for billions of years
and because the half-life of $^{210} \mathrm{Pb}$ is much less than that of 26 , the
nuclides 22 $\mathrm{a}$ and 210 $\mathrm{Pb}$ are in equilibrium; that is, the numbers of
these nuclides (and thus their concentrations) in the sample do not
change. (b) What is the ratio $R_{226} / R_{210}$ of the activities of these nu-
clides in the sample of lead ore? (c) What is the ratio $N_{226} / N_{210}$ of
their numbers?
When lead pigment is refined from the ore, most of the 226 $\mathrm{Ra}$
is eliminated. Assume that only 1.00$\%$ remains. Just after the pigment is produced, what are the ratios (d) $R_{226 / R_{210}}$ and (e)
$N_{266} / N_{210} ?$
Keisch realized that with time the ratio $R_{226} / R_{226}$ of the pigment would gradually change from the value in freshly refined
210 $\mathrm{Pb}$ and the remaining 226 $\mathrm{Ra}$ is established in the pigment. If
Emmaus were painted by Vermeer and the sample of pigment
taken from it were 300 years old when examined in $1968,$ the ratio
would be close to the answer of $($ b). If Emmaus were painted by
van Meegeren in the 1930 s and the sample were only about 30
years old, the ratio would be close to the answer of $(\mathrm{d}) .$ Keisch
found a ratio of $0.09 .(\mathrm{f})$ Is Emmaus a Vermeer?

Fennel visited, which can be produced from funeral, is less reactive than funeral in automatic. There are a few exceptions fearful. Explain what it's this, but the group is still Order Pereira director. Just like hydroxy group, you know, So I don't see a group in. Fino is a force of credit director because over too long in the pants, which supplies elections, most it through the orphan and better positions, this group still has to look natural in prayer on oxygen, which pretty X the same way as the age group. In funeral, however, the compound is less reactive because for conjugation off long and compare with adjusting Gruber. No, which most away park the church former our since one So the little there compares on oxygen become less active.


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