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topjm [15]
3 years ago
10

A 1.00 * 10^-6 -g sample of nobelium, 254/102 No, has a half-life of 55 seconds after it is formed. What is the percentage of 25

4/102 No remaining at the following times?a) 5.0 min after it formsb) 1.0 h after it forms
Chemistry
1 answer:
bija089 [108]3 years ago
3 0

Answer:

2.2 % and 0 %

Explanation:

The equation we will be using to solve this question is:

N/N₀  = e⁻λ t

where  N₀ : Number of paricles at t= 0

            N=  Number of particles after time t

             λ= Radioactive decay constant

             e= Euler´s constant

We are not given λ , but it can be determined from the half life with the equation:

λ = 0.693 / t 1/2 where t 1/2 is the half-life

Substituting our values:

λ = 0.693 / 55 s = 0.0126/s

a) For t = 5 min = 300 s

N / N₀ = e^-(0.0126/s x 300 s) = e^-3.8 = 0.022 = 2.2 %

b) For t = 1 hr = 3600 s

N / N₀ =  e^-(0.0126/s x 3600 s) = 2.9 x 10 ⁻²⁰ = 0 % (For all practical purposes)

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<span>Answer: 8.15s
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<span>Explanation:
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<span>1) A first order reaction is that whose rate is proportional to the concenration of the reactant:
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<span>=> No - No/ 2 = kt' => No /2 = kt' => t' = (No/2) / k
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