A radiometric dating technique uses the decay of $\mathrm{U}-238$ to Pb-206 (the half-life for this process is 4.5 billion years) to determine the age of the oldest rocks on Earth and by implication the age of Earth itself. The oldest uraniumcontaining rocks on Earth contain approximately equal numbers of uranium atoms and lead atoms. SolutionShow Solution. On emission of one alpha particle, the mass number decreases by 4.

U 238 to pb 206

This happens in a number of steps. Can you justify a single half for this chain of processes? A sample of rock is found to contain 2.00 mg of 238 U and 0.600 mg of 206 Pb. Assuming that all the lead has come from uranium, find the life of the rock. In an ore containing uranium , the ratio of $\;U^{238}\;$ to $\;Pb^{206}\;$ nuclei is $3$ . Then calculate age of ore assuming that all lead present in ore is final stable products of $\;U^{238}\;$ .

The half-life for the decay of uranium-238 to lead-206 is 4.5 109 yr.

A sample of uranium ore was analysed and found to contain 1.0 g U 238 and 0.1 g Pb 206. Assuming that Pb 206 has accumulated due to decay of uranium, find out the age of ore. t 1/2 for U 238 = 4.5 x 10 9 year.

The half-life of these elements varies between a few microseconds and 245,500 years. It is therefore not possible to estimate how much of the lead 206 present today actually originated from uranium 238. Uranium `._(92)U^(238)` decayed to `._(82)Pb^(206)`. They decay process is `._(92)U^(238) underset((x alpha, y beta))(rarr ._(82)Pb^(206))`
`t_(1//2)` of `U^(238) = 4.5 xx 10^(9)` years
A sample of rock south America contains equal number of atoms of `U^(238)` and `Pb^(206)`. U-238 > Pb-206 .

Figure 1. The decay A rock contains a Pb-206 to U-238 mass ratio of 0.145 : 1.00. Assuming that the rock did not contain any Pb-206 at the time of its formation, determine its age. ( For example, uranium-238 (U-238), which occurs naturally in Earth's crust, has U-238 decay series, the final product of the decay series is lead-206 (Pb-206), Uranium-238, Lead-206, 4,500 million, 10 - 4,600 million, Zircon, Uraninite. Uranium-Lead (U-Pb) dating is the most reliable method for dating Quaternary The method relies on two separate decay chains, the uranium series from 238U to 206Pb, with a half-life of 4.47 billion years and the actinium series from 235U For example, the decay chain that begins with uranium-238 (U-238) ends in lead- 206 (Pb-206), after forming isotopes, such as uranium-234 (U-234), Solved: A meteor has a Pb-206:U-238 mass ratio of 0.855:1.00.
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2) The percentage of U that remains in the present is this: Since U-238 has a half-life of 4.5 billion years, it takes that amount of time for half of the original U-238 to decay into Pb-206.

The data are best interpreted using projections of a new four-dimensional concordia diagram deﬁned by 206 Pb*/ 238 U The existence of two 'parallel' uranium–lead decay routes (238 U to 206 Pb and 235 U to 207 Pb) leads to multiple dating techniques within the overall U–Pb system. The term U–Pb dating normally implies the coupled use of both decay schemes in the 'concordia diagram' (see below). However, use of a single decay scheme (usually 238 U to 206 Pb) leads to the U–Pb isochron dating method, analogous to the rubidium–strontium dating method. In an ore containing uranium, the ratio of U 238 to P b 206 is 3.
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Pb t. 1/2.

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testing closed-system behavior: the concordia diagram.

(stable). 8 uranium-238. Polonium-218 and lead-214 are decay products of radon-222. The final elemen lead-206, is stable (non-radioactive) and its formation ends the Isotopes 238 and 235 of uranium and isotope 232 of thorium are at the origin of radioactive families, lead 206, 207 and 208 being respectively the ultimate 3 Sep 2017 Explanation: The ratio of the amounts of U 238 and Pb 206 in a rock sample enables the age of the rock to be estimated using the technique of Nuclear Solution 3. A rock contains 0.257 mg of lead-206 for every mg of uranium -238. The half-life decay for uranium to turn into lead is 4.5x 109 yr.

207Pb/235U, and 207Pb/ 206Pb model ages, including appropriate error correlations. The calculations. U/Pb data aliquot #.