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elixir [45]
2 years ago
10

Uranium–232 has a half–life of 68. 9 years. A sample from 206. 7 years ago contains 1. 40 g of uranium–232. How much uranium was

originally present? g.
Chemistry
1 answer:
ioda2 years ago
8 0

Half-life can be given as the time required by the substance to reduce to half of its original concentration. The original mass of Uranium was 11.2 grams.

<h3>What is the expression of half-life?</h3>

The half-life for the reaction can be expressed as;

A_t=A_0(\dfrac{1}{2})^\dfrac{t}{t1/2}

Where the final mass of the product is, A_t=1.40\;\rm g

The time for the reduction is given as, t=206.7\;\rm years

The half-life of the compound is given as, t1/2=68.9\;\rm years

The original concentration (A_0) of the Uranium is given as,

\rm 1.40\;g=\textit A_0(\dfrac{1}{2} )^{\dfrac{206.7}{68.9}}\\\\1.40\;g= \textit A_0(\dfrac{1}{2} )^3\\\\\textit A_0=11.2\;\rm grams

The original mass of uranium-232 has been 11.2 grams.

Learn more about half-life, here:
brainly.com/question/24710827

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