9. Thallium-208 has a half-life of 3.053 min. How long will it take for 120 g of it to decay
to 7.5 g?

Answers

Answer 1

Answer:

12.213 minutes will be taken for 120 g-Thalium-208 to decay to 75 grams.

Explanation:

Radioactive isotopes decay exponentially in time, the mass of the isotope ([tex]m(t)[/tex]), in grams, is described by the formula in time ([tex]t[/tex]), in minutes:

[tex]m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }[/tex] (1)

Where:

[tex]m_{o}[/tex] - Initial mass of the isotope, in grams.

[tex]\tau[/tex] - Time constant, in minutes.

In addition, the time constant associated with the isotope decay can be described in terms of half-life ([tex]t_{1/2}[/tex]), in minutes:

[tex]\tau = \frac{t_{1/2}}{\ln 2}[/tex] (2)

If we know that [tex]m(t) = 7.5\,g[/tex], [tex]m_{o} = 120\,g[/tex] and [tex]t_{1/2} = 3.053\,min[/tex], then the time taken by the isotope is:

[tex]\tau = \frac{t_{1/2}}{\ln 2}[/tex]

[tex]\tau = \frac{3.053\,min}{\ln 2}[/tex]

[tex]\tau \approx 4.405\,min[/tex]

[tex]t = -\tau \cdot \ln \frac{m(t)}{m_{o}}[/tex]

[tex]t = -(4.405\,min)\cdot \ln \left(\frac{7.5\,g}{120\,g} \right)[/tex]

[tex]t \approx 12.213\,min[/tex]

12.213 minutes will be taken for 120 g-Thalium-208 to decay to 75 grams.

Answer 2

12.21 minutes will it take for 120 g of Thallium-208 to decay

to 7.5 g.

What is half life period?

Half life period is that time in which half of the reactant is convert into product.

In the question it is given that,

Initial mass of Thallium-208 = 120g

Final mass after decay = 7.5g

And half life of this decay = 3.053 min

Here we can calculate the total time of decay by the formula : T = t × n.

Where, T = total required time

t = half life

n = no. of half life required to decompose reactant.

120 → 60 →30 → 15 → 7.5

From the above sequence it is clear that we require 4 times of half life to decompose 120g to 7.5g.

So, T = 3.053 × 4 = 12.21 minutes

Hence, 12.21 minutes will it take to decay.

To learn more about half life, visit below link:

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Answer:

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Explanation:

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Answers

Answer:

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Answers

Answer:

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Answer:

Explanation:

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Gary wanted to find out if some food colourings contained a banned food dye.
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Answer:

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Answers

Answer:

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Answers

Answer:

So originally, the plum pudding model by J.J Thomson is electrons (negatively charged) held in place by a proton (positively charged) cloud.

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Answers

Answer:

72g

Explanation:

The balanced equation of the reaction between Magnesium (Mg) and hydrochloric acid (HCl):

Mg(s) + 2HCl(aq) → MgCl2(aq) + H2(g)

Based on this equation, 1 mole of Mg needs to react with 2 moles of HCl.

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mass = 72g.

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Answers

Answer:

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Explanation:

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Answers

Answer:

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Explanation:

Given:

V1 = 135 ml. V2 = 250 ml

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Answers

Answer:

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Explanation:

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2KClO3 → 2KCl+ 3O2

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Answers

Answer:please see explanation for answers

Explanation:

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NO LINKS!!!!!!!!
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Answers

Answer:

q=309.6 J

Explanation:

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Answers

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Answers

Answer:

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Explanation:

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Answers

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Answers

Answer:

ФОТОГРОФИРУЙ

ИЛИ НАПИШИ

В КОМЕНТЫ

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Answers

Answer:

See Explanation

Explanation:

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Answers

Answer:

Explanation: It is an ionic compound  Fe2(C2O4)3

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Chemical formula of a compound or molecule represent the identity of the compound by representing which atoms are present in how many numbers.

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To find more about chemical formula, refer the link below:

https://brainly.com/question/29031056

#SPJ2

Hey I know this looks easy but
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WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDD!

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Explanation:

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