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Task Radioactive isotopes decay by emitting radiation. A scientist just received a sample of two different radioactive isotopes, tellurium-131 and neptunium-240. This equation can be used to determine 70), the number of grams of tellurium-131 that will remain in the sample after minutes. T() = 1000. 25 A. How many grams of tellurium-131 were in the sample the moment the scientist received it? Provide evidence to support your answer. B. How many grams of tellurium-131 will remain in the sample after one hour? Provide evidence to support your answer.

Sagot :

Answer:

Following are the solution to this question:

Step-by-step explanation:

[tex]\to tellurium-131\\\\ \to T(t) =1000 \times e^{\frac{\log(2)}{25}t}[/tex]

where t = in miles

In part A:

When scientists got t=0, therefore the tellurium quantity.

[tex]\to T(t) = 1000 \times e^{0}[/tex]

           [tex]= 1000 \times 1 \\\\= 1000 \ grams[/tex]

In part B:

When 1 hours =  60 min  

[tex]T(t) = 1000 \times e^{\frac{\log 2}{25} \times 60} \\\\[/tex]

      [tex]= 1000 \times e^{\frac{\log 2}{5} \times 12}\\\\= 1000 \times e^{0.72247199}\\\\\= 1000 \times 2.05951803\\\\=2059.51803\\\\=2059.51 \ grams[/tex]

Task Radioactive isotopes decay by emitting radiation is that :

A) The tellurium-131 were in the sample the moment the scientist received are 1000 grams.

B)The grams of tellurium-131 will remain in the sample after one hour is 2059.51.

Given :

  • Tellurium-131
  • T(t)=100*[tex]e^{log2/25} t[/tex]
  • where t = in miles

Part A:

When scientists got t=0,

t=1000*[tex]e^{o}[/tex]

t=1000*1

t=1000 grams

The tellurium-131 were in the sample the moment the scientist received are 1000 grams.

Part B:

The grams of tellurium-131 will remain in the sample after one hour is :

  • T(t)=1000*[tex]e^{log2/25} t[/tex]
  • T(t)=1000*[tex]e^{0.7224}[/tex]
  • T(t)=1000*2.059
  • T(t)=  2059.51

The grams of tellurium-131 will remain in the sample after one hour is 2059.51.

Know more about "isotopes":

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