14) A sample contains 1.46 g of Cobalt-55. After 2.00 days, 0.219 g remains. What is the half-life?
A) 11.6h-1
B) 22.6h-1
C) 1.35 h-1
D) 17.5h-1
E) 0.540 h

Answers

Answer 1

The half-life of the Cobalt-55 is equal to 17.4 hr.

What is the half-life of a radioactive element?

The half-life of the radioactive isotope can be described as the time required to decrease its actual amount to half after disintegration. The half-life period of a radioactive material is independent of the original or initial amount of the material.

Given, the original amount of Cobalt-55, N₀ = 1.46 g

The remaining amount of Cobalt-55, N = 0.219 g

The time for which decay occurs, t =  2.00 days = 48 hrs

Consider that k is the rate constant of the decay of  Cobalt-55,

[tex]{\displaystyle k = \frac{2.303}{t} log\frac{N_o}{N}[/tex]

[tex]{\displaystyle k = \frac{2.303}{48} log\frac{1.46}{0.219}[/tex]

k = 0.0395 hr⁻¹

The half-life time of Cobalt-55 can be calculated from the below-mentioned formula:

[tex]{\displaystyle t_{1/2} =\frac{0.693}{k}[/tex]

[tex]{\displaystyle t_{1/2} =\frac{0.693}{0.0395}[/tex]

[tex]{\displaystyle t_{1/2} =17.5 \;hr[/tex]

Therefore, the half-life period of the given sample of the Cobalt-55 will be to 17.4 hours.

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Related Questions

Determine the equilibrium constant at 255 K for the following reaction under acidic conditions.
4H+ (aq) + MnO₂ (s) + 2Fe²+ (aq) ———› Mn²+ (aq) + 2Fe³+ (aq) + 2H₂O(1)
The two half-reactions are:
MnO₂ (s) + 4H+ (aq) + 2e¯¯ ———› Mn²+ (aq) + 2H₂O(1) E* = 1.23 V
Fe³+ (aq) + e, Fe²+ (aq) E³ = .0.770 V

Answers

Temperature is supplied to us as 225 K. The reduction potential potentials will be used to get it equilibrium constant for the this reaction.

What does equilibrium mean in its simplest form?

Definition of EQUILIBRIUM as a noun in the Britannica Dictionary. [noncount] 1. a condition when conflicting forces or acts are matched so that neither is stronger or more significant than the other.

What does the term "equilibrium" signify in biology?

The forces that affect the body must balance out with an equivalent and opposing force for there to be a condition of equilibrium. The physiological state of equilibrium, wherein forces internal and external are all in balance, in an active moving animal. The system is hence stable.

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Question 32 of 43
Indicate the electron pair geometry and the molecular geometry for each of the six compounds

Answers

1) Electron pair geometry - tetrahedral

Molecular geometry - bent

2) Electron pair geometry - tetrahedral

Molecular geometry - bent

3) Electron pair geometry - tetrahedral

Molecular geometry - linear

4) Electron pair geometry - tetrahedral

Molecular geometry -  trigonal bipyramidal

5)  Electron pair geometry - trigonal planar

Molecular geometry -  trigonal planar

What is the electron pair geometry?

We know that a compound would have its structure based on the number of electrons pairs that can be found on the valence shell of the atom. According to the valence shell electron pair repulsion theory, the electron pairs that surround the valence shell would be the major determinant of the structure of the compound.

We also have to recall that the number of the lone pairs and the bond pairs in the compound are also a key as we want to determine the structure. This is because, while all the electron pairs count towards the electron pair geometry, the bond pairs count towards the molecular geometry of the compound.

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