If the half-life of iodine-131 is 8.0 days, how much of a 100.0 mg sample of it will remain after 32 days? In case you're interested, iodine-131 forms xenon-131 by beta emission/decay. Please enter only a numerical answer and do not write in any units. It is understood that the unit is mg.

Answers

Answer 1

Given :

Half-life of Iodine , [tex]t_{0.5}=8 \ days[/tex] .

Initial concentration , [tex][A_o]=100\ mg[/tex] .

To Find :

The amount of sample remains after 32 days .

Solution :

Rate constant is given by :

[tex]k=\dfrac{0.693}{t_{0.5}}\\\\k=\dfrac{0.693}{8}\ s^{-1}\\\\k=0.086625\ s^{-1}[/tex]

Now , by rate law :

[tex][A]=[A_o]e^{-kt}[/tex]

Putting all given values, we get :

[tex][A]=100\times e^{-(0.086625)\times 32}\\[/tex]

[tex][A]=6.25\ mg[/tex]

Therefore , the remaining sample after 32 days is 6.25 mg .

Hence , this is the required solution .


Related Questions

What would be the charge of an ion with 9 protons, 10 neutrons, 10 electrons

Answers

Answer:

negative

Explanation:

Any atom whose number electrons are more than the number of protons in it will have a negative charge. Since in this case the electrons are 10 and protons are 9 the 9+ charge protons and 9- charge electrons cancel each other giving a final charge of negative.

The charge of an ion with 9 protons and 10 electrons and neutrons is -1 as there is one more electron in comparison to number of protons .

What is an ion?

An ion is defined as an atom or a molecule which has a net electrical charge. There are 2 types of ions :1) cation 2) anion . The cation is the positively charged ion and anion is the negatively charged ion . As they are oppositely charged they attract each resulting in the formation of ionic bond.

Ions consisting of single atom are mono-atomic ions while which consists of two or more ions are called as poly-atomic ions . They are created by chemical interactions . They are very reactive in their gaseous state and rapidly react with oppositely charged ions resulting in neutral molecules.They are attracted to opposite charges.

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A scientist observes that the electric resistance of a superconducting material drops to zero when the material is cooled to very low temperatures which of the following statements best describe what the scientist is observing

Answers

Answer: The scientist is observing an intensive property of a superconductor. ( So C)

Explanation: edu

Answer: the scientist is observing an intensive property of a superconductor.

How many penicillin molecules would you have if you had a total of 36 hydrogen atoms? What would be the total atomic mass?

Answers

Answer:

Explanation:

Molecular formula of penicillin  = C₁₆ H₁₈ N₂ O₄S

No of hygrogen atoms = 36

No of molecules = 36 / 18 = 2

molecular weight = 334 amu

molecular weight of 2 molecules = 334 x 2 = 668 amu.  


Which of the following questions can be answered by science? (5 points)

Answers

Answer:

you didn't put the question

Explanation:

??

Answer:

I. Why is land use more important than water use?

II. Why do human activities affect land?

Explanation:

Match the scientist to his contribution to the atomic theory - Thomson - Rutherford - Bohr A. Electron energy levels B. Nucleus C. Electrons

Answers

Answer: Thomson - C

Rutherford - B

Bohr - A

Explanation: I just took the quiz

What is the formula for Hydroxide​

Answers

Answer:

OH-

Explanation:

it's consists of an oxygen and hydrogen atom held together by a covalent bond and carries a negative electric charge

What is the density of 19 milliliters of a liquid substance with a mass of 6.05 grams?

Answers

Answer:

The answer is

0.32 g/mL

Explanation:

The density of a substance can be found by using the formula

[tex]density = \frac{mass}{volume} [/tex]

From the question

mass = 6.05 g

volume = 19 mL

The density of the substance is

[tex]density = \frac{6.05}{19} \\ = 0.3184210526...[/tex]

We have the final answer as

0.32 g/mL

Hope this helps you

why is it important to conduct scientific tests more than one time

Answers

Answer:

you man get different results

. Select one resource and hypothesize what side effects might
occur if that
resource is depleted.

Answers

For example an oasis animals depend on water especially if there in the desert where it’s not as reach able and it drys up for a while. If this resource “depleted” the animals would not have anything to help them survive and plants would have that either. Hope that helps not really sure if it was on a specific resource so sorry if it’s wrong :(

Which element has an atomic mass of 106.42?

Answers

Answer:

carbon

Explanation:

The element which has atomic mass of 106.42 is carbon as per the existing isotopes.

What is an element?

It is defined as a substance which cannot be broken down further into any other substance. Each element is made up of its own type of atom. Due to this reason all elements are different from one another.

Elements can be classified as metals and non-metals. Metals are shiny and conduct electricity and are all solids at room temperature except mercury. Non-metals do not conduct electricity and are mostly gases at room temperature except carbon and sulfur.

The number of protons in the nucleus is the defining property of an element and is related to the atomic number.All atoms with same atomic number are atoms of same element.

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54.29
Which statement describes an atomic nucleus?
O An atomic nucleus is negatively charged.
O An atomic nucleus has no electrical charge.
O An atomic nucleus consists of mostly empty space.
O An atomic nucleus contains most of the atom's mass.
Save and Exit
Next
Submit
d return

Answers

The Atomic nucleus has a charge of 0.
Explanation: an atom consists of of positively charged nucleus, surrounded by one or more electrons (which are negatively charged.) The positive charges equal the negative charges so the atom ends up having no charge.

2. Which set of symbols represents isotopes of the same element?
Set 2
Set 1
80
м
38
133
81
M
38
83
M
38
132
Q
55
Q
133
Q
54
55
Set 4
Set 3
50
L
19
50
L
20
50
L
21
91
J
43
92
J
42
93
J
42

Answers

The set of symbols that represents isotopes has been 84/38 M 86/38 M 87/38 M. Thus, option D is correct.

The isotopes are the elements with same atomic number, but different mass number. In an isotope [tex]\rm ^a_bX[/tex], a has been the atomic mass, and b has been the atomic number.

The isotopes will have same value for b, while different values for a.

In the following given sets:

A. 50/19 L 50/20 L 50/21 L

It has same number of mass the atomic number has been different. Thus, the set not represents isotopes.

B. 138/59 Q 133/55 Q 133/54 Q

The given elements, has different atomic number, and different mass number. Thus the set did not represents the isotopes.

C. 91/42 J 92/42 J 93/40 J

The given elements, has different atomic number, and different mass number.Thus the set did not represents the isotopes.

D. 84/38 M 86/38 M 87/38 M

The given set has same atomic number with different mass number.Thus, the set has been the representation of isotopes.

The set of symbols that represents isotopes has been 84/38 M 86/38 M 87/38 M. Thus, option D is correct.

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Which of the following is true about scarcity?

Answers

Answer:

It would be

a) Scarcity affects all societies.

Need help with this

Answers

Answer:

Its enviormental science because enviormental science  is an interdisciplinary academic field that integrates physical.

Give me a hand,Solve this problem,Need everyone's help​

Answers

Answer:

A. 8.8 g.

B. 5.3 g.

C. 449 g.

Explanation:

A. Determination of the mass of CO2.

Mole of CO2 = 0.2 mole

Molar mass of CO2 = 12 + (2×16)

= 12 + 32

= 44 g/mol

Mass of CO2 =?

Mole = mass /Molar mass

0.2 = mass of CO2 /44

Cross multiply

Mass of CO2 = 0.2 × 44

Mass of CO2 = 8.8 g

B. Determination of the mass of Na2CO3.

Mole of Na2CO3 = 0.05 mole

Molar mass of Na2CO3 = (2×23) + 12 + (3×16)

= 46 + 12 + 48

= 106 g/mol

Mass of Na2CO3 =?

Mole = mass /Molar mass

0.05 = mass of Na2CO3 /106

Cross multiply

Mass of Na2CO3 = 0.05 × 106

Mass of Na2CO3 = 5.3 g

C. Determination of the mass of Fe(OH)2.

Mole of Fe(OH)2 = 5 moles

Molar mass of Fe(OH)2 = 55.8 + 2(16 + 1)

= 55.8 + 2(17)

= 55.8 + 34

= 89.8 g/mol

Mass of Fe(OH)2 =?

Mole = mass /Molar mass

5 = mass of Fe(OH)2/89.8

Cross multiply

Mass of Fe(OH)2 = 5 × 89.9

Mass of Fe(OH)2 = 449 g.

Why carbon dioxide can be tested with the help of moist blue litmus paper ?

Answers

Answer:

carbon dioxide is acidic and when it comes in contact with blue litmus paper it turns red

Explanation:


A sample of seawater weighs 250 g and has a volume of 173 ml. What is the density of seawater?

Answers

Answer:

The answer is 1.45 g/mL

Explanation:

The density of a substance can be found by using the formula

[tex]density = \frac{mass}{volume} \\ [/tex]

From the question

mass of seawater = 250 g

volume = 173 mL

It's density is

[tex]density = \frac{250}{173} \\ = 1.4450867052...[/tex]

We have the final answer as

1.45 g/mL

Hope this helps you

1
How many significant figures are there in 9,000,500 mL?

Answers

There are 2 significant figures in this number. A significant figure is any number that isn’t 0. Hope this helps.

Which phrase best describes igneous rocks?
form when lava and magma cool
accumulate sediments following erosion
require heat and pressure to be formed
consist of many sediment layers

Answers

Answer:form when magma and lava cool :/

Explanation:hope this helps, and I’m this because ingenious rocks are made/ formed from magma and lava.

The phrase which best describes igneous rocks is option A, .i.e., it forms when lava and magma cool.  

What is igneous rock?

Igneous rocks are formed by the melting of  earth's crust  into magma, . The two types of this rocks are, Extrusive and intrusive igneous rocks . The slow cooling of magma beneath the surface results in intrusive igneous rock.

Magma in the crystal is in molten liquid state which heat by convection and flows out. This creates slight movement in plates and the hot mantle the cools down to form igneous crystals.

Extrusive igneous rock is created when lava above the surface cools quickly. The magma hardens more quickly after being brought to the surface via cracks or volcanic explosions. As a result, these rocks are crystalline, smooth, and fine-grained.

Thus regarding the formation of igneous rocks, option A is correct.

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Jessica poured a liquid into the graduated cylinder below. What is the volume of the liquid?

Answers

Need more info to answer the question

Answer:

Answer is B

Explanation:

How are the molecules in the cell membrane arranged? as a lipid bilayer as a protein bilayer as a carbohydrate bilayer as a DNA bilayer

Answers

Answer:

as a lipid bilayer

Explanation:

just took the test

Answer:

A. as a lipid bilayer

How are elements with atomic masses greater than Uranium’s made?

Answers

Atoms heavier that uranium do not exist in nature.they must be synthesized in a particle accelerator.

Answer:Atoms heavier that uranium do not exist in nature.they must be synthesized in a particle accelerator

Explanation:

Daniel needed 5.0 x 10 3mm of copper wire for his senior year science project. When Daniel went to the hardware store, he noticed that the unit of measure used for the wire was meters. Calculate the length, in meters, of copper wire Daniel needed for his project.

Answers

Answer:

if its 5X 10^3 mm=5m and if its 5X 10^-3 mm=5X 10^-6m

Explanation:

we know,

1m= 1000mm

as given 5X 10^3 mm we have to convert to meter

now  5X 10^3 mm= 5X 10^3/1000=5m

but if its  5X 10^-3 mm= 5X 10^-3/1000= 5X 10^-6m

thank u,

the following statement is an example of "if i post a image on Instagram at 7:00 pm, then ill get the most likes a. hypothesis b. problem c. experiment d. independent variable
I NEED HELP NOW PLEASE HELP ME AS FAST AS U CAN!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

a

Explanation:

The given statement if i post a image on social media at 7:00 pm, then ill get the most likes is a hypothesis.

What is hypothesis?

Hypothesis can be defined as an assumption which is made for the sake of argument . It is an interpretation of a practical condition for which action needs to be taken.It is defined as a tentative assumption which is made to test logical consequences.It is an antecedent clause of a statement which is conditional.

It is constructed before research. There are six types of hypothesis 1)simple hypothesis 2) complex hypothesis 3) directional hypothesis 4)non-directional hypothesis 5) null hypothesis 6)casual hypothesis

The hypothesis should be clear and precise, it must be specific and way of explanation of hypothesis should be simple.

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This beaker is filled with three liquids of different colors and densities. Which color substance is the most dense? How do you know

Answers

Answer:

the one at the bottom

Explanation:

the more dense an object is in this kind of demonstration (which is called a density tower btw) the lower it'd be so taking this reason into consideration the lowest would be the densest

I need help please, will give 5 stars

Answers

2nd one bhutdsaadxjytwwdghurfc

Scientists use results from new experiments to
support their own personal political opinions.
increase precision of data that were collected previously.
modify existing explanations of how nature works.
aid in distinguishing science from pseudoscience.

Answers

Answer:

modify existing explanations of how nature works.

Explanation:

Scientists use new experiments to aid in distinguishing science from pseudoscience also to update the explanations of how nature works.

What is pseudoscience?

Pseudoscience is the falls assumptions and predictions by some thoughts and prejudice that arguing to be scientific. For example astrology, there is no scientific evidence for that,

Scientists update the phenomenon and concepts in nature through various research works which are planed in advanced level. These results are not for personal requirements not for political opinions.

Thus new experiments are conducting for arriving at new information that are valuable to everyone and thus distinguishing  science from pseudoscience.

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2. You water three sunflower plants with salt water. Each plant receives a different

concentration of salt solutions. A fourth plant receives pure water. After a

two-week period, the height is measured.

IV

I

DV

CG

Answers

Answer:

Independent variable, is the amount of salt water received by each plant

Dependent variable, is the height of each plant

Control group, is the fourth plant that received pure water.

Note: The question is incomplete. The complete question is as follows: For the following experiments, define the independent variable (IV), dependent variable (DV) and control group (CG).

2. You water three sunflower plants with salt water. Each plant receives a different concentration of salt solutions. A fourth plant receives pure water. After a two-week period, the height is measured.

Explanation:

Independent variable: An independent variable is a variable that an experimenter changes or controls and which has a direct effect on the dependent variable.

In the experiment above, the independent variable is the amount of salt water received by each plant because it is under the control of the experimenter and also is thought to have a direct effect on the height of plants.

Dependent variable: A dependent variable is a variable that is being measured or studied in an experiment, and it depends on the independent variable for its results.

The height of the plants is the dependent variable as it depends on the amount of salt water the plant receives.

Control group: The control group is the group in an experiment or study that does not receive the treatment as the other groups being studied and as such, is not influenced by the independent variable. Therefore, it is used as a standard for the other groups under study.

In this experiment, the control group is the fourth plant that received pure water.

How many joules of heat are needed to raise the temperature of 10.0 g of aluminum from 22°C to 55°C, if the specific heat of aluminum is 0.90 J/g°C?

Answers

Answer:

0.90 degree C

Explanation:

The key to this problem lies with aluminium's specific heat, which as you know tells you how much heat is needed in order to increase the temperature of  1 g of a given substance by 1∘C

In your case, aluminium is said to have a specific heat of

0.90 J g∘ C.

Calculate the destiny of the object that has a mass of 453 g and occupies the volume of 225 cm3
A ( 2.01g/cm3
B( 5.00 g/cm3
C( 453 g/cm3
D( 228 g/cm3

Answers

density = 2.013g/cm3

Explanation:

density = mass/volume

density = 453g/225cm3

density = 2.013g/cm3

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