A patient is given 0.050 mg of technetium-99 m (where m means metastable—an unstable but long-lived state), a radioactive isotope with a half-life of about 6.0 hours.
How long until the radioactive isotope decays to 1.3×10−2 mg ?

Answers

Answer 1

The correct answer is 9.6h.

As you know, a radioactive isotope's nuclear half-life tells you exactly how much time must pass in order for an initial sample of this isotope to be halved.

Using the formula , A = Ao. [tex]1/2^n[/tex]

where , A- final mass after decay

Ao - initial mass

n - the number of half-lives that pass in the given period of time

Now, putting all the values, we get

1.3 × [tex]10^-2[/tex] mg = 0.050 mg × [tex]1/ 2^n[/tex]

Take the natural log of both sides of the equation to get,

㏑[tex](1.3 . 10^{-2} / 0.050 )[/tex] = ㏑[tex]((1/2)^{n})[/tex]

㏑[tex](1.3 . 10^{-2} / 0.050 )[/tex] = n. ln[tex](1/2)\\[/tex]

n = 1.6

Since n represents the number of half-lives that pass in a given period of time, you can say that

[tex]n = t / t _{1/2}[/tex]

t= 1.6 × 6 h

t = 9.6h
Hence, it will take 9.6 h  until the radioactive isotope decays.

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Related Questions

A person rides in an elevator.
What is the equal and opposite force for the Earth's force of gravity pulling down on the person as
described by Newton's third law?

Answers

Answer:

Normal force

Explanation:

normal force always perpendicularly points away from a surface

Normal force is the equal and opposite force for the Earth's force of gravity pulling down on the person as described by Newton's third law.

What is force?

Force is defined as a cause which is capable of changing the motion of an object. It can cause an object which has mass to change it's velocity. It is also simply a push or a pull . It has both magnitude as well as direction.Hence, it is a vector quantity.

It has SI units of Newton and is represented by'F'.Newton's second law states that force which acts on an object is equal to momentum which changes with time. If mass of object is constant, acceleration is directly proportional to net force acting on an object.

The concepts which related to force are thrust and torque .Thrust increases the velocity of an object and torque produces change in rotational speed of an object.

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BRAINLIEST AWARD PLZ HELP :)

Answers

Properties of metals:
High melting points
High density
Ductile
Malleable
Good conductors of electricity
Good conductors of heat


I think if you added a proton you would have chlorine.


The noble gasses are the he chemical elements in group 18 of the periodic table. The gasses in this family include helium, neon, argon, krypton, xenon, and radon. All these gasses are colorless are oderless, elements in this family have atoms with a full outer shell of electrons. They are also called inert gasses.

Six valence electrons

Answer:

babe give us our last brainliest lol

Explanation:

science stuff

What is the empirical formula of a molecule containing 24% carbon (C), 6%
hydrogen (H), and 70% chlorine (CI)?
O A. CH3C1
B. C2H6Cl2
C. C24H6C170
O D. CHCI
SUBMIT

Answers

Answer:

Empirical formula is CH₃Cl.

Explanation:

Given data:

Percentage of hydrogen = 6%

Percentage of carbon = 24%

Percentage of chlorine= 70%

Empirical formula = ?

Solution:

Number of gram atoms of H = 6/ 1 = 6

Number of gram atoms of C = 24 /12=  2

Number of gram atoms of Cl = 70/ 35.45 = 2

Atomic ratio:

            C                      :      H            :         Cl

           2/2                    :     6/2           :       2/2

            1                       :        3          :        1

C : H : Cl = 1 : 3 : 1

Empirical formula is CH₃Cl.

Answer:

CH3Cl

Explanation:

a-p-e-x

What stage in the rock cycle is between metamorphic rock and igneous rock

Answers

Answer:

sedimentary rock

Explanation:

Because there are three stages, first igneous rock changes into either sedimentary rock or meatamorphic rock.

Is party mix a example of a mixture

Answers

Answer/Explanation:

Yes a party mix is an example of a mixture. Hence, the word party MIX. To be more specific it is a heterogenous mixture because its components are not evenly separated through out the substance.

What evidence do you need to determine that two rocks have some similar minerals because the minerals from the original rock was eroded then it was later compressed with other minerals to form a different rock.

Answers

Answer:

It comes from same parent material.

Explanation:

The two rocks have some similar minerals which indicates that they are comes from the same parent material but with the passage of time it is mixed with other minerals due to which they are some different in composition from one another so we can conclude that they comes from the same parent material due to the presence of some similar minerals.

Which runner had the fastest speed in the race?

Which runner had the slowest speed in the race?

Which runner had a head start?

Answers

Which runner had the fastest speed in the race?
A

Which runner had the slowest speed in the race?
C

Which runner had a head start?
C

The following answers are in order of the questions:

Which runner had the fastest speed in the race?

✔ A

Which runner had the slowest speed in the race?

✔ C

Which runner had a head start?

✔ C

Wood and a cement block are considered to be transparent and are good conductors of electricity.
true or false?

Answers

Answer:

ITS FALSE electricity doesn't travel through wood same with cement!

two students are working together to build a birdhouse. Student 1 applies a force of 10 N to a wooden board in order to slide it across the table to student 2. If the force of fraction resisting the student ´s push is 4 N, what is the net force acting on the board?

Answers

Answer:

6

Explanation:

if there is 10n and the friction is 4n on the table then it is 6n.

i hope this helps you! :)

Please help.
Write the orbital notation for each of the following: (Be sure to label your sublevels)

a) O b) Sc

Answers

Answer: O: 1s22s22p4

Explanation: In writing the electron configuration for oxygen the first two electrons will go in the 1s orbital. Since 1s can only hold two electrons the next 2 electrons for O go in the 2s orbital. The remaining four electrons will go in the 2p orbital. Therefore the O electron configuration will be 1s22s22p4.

What type of compound is formed by the transfer of electrons from one atom to another?
1) Hydrogen Compound
2) Coordinate Covalent Compound
3) Ionic Compound
4) Covalent Compound
5) None of the above

Answers

Answer:

ionic compound

Explanation:

ionic bonding

In ionic bonding, electrons are completely transferred from one atom to another. In ionic bonding, electrons are completely transferred from one atom to another. In the process of either losing or gaining negatively charged electrons, the reacting atoms form ions.

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Which temperature represents the highest average kinetic energy of the particles in a sample of matter?

Answers

Answer:

41 Which temperature represents the highest average kinetic energy of the particles in a sample of matter? (1) 298 K (3) 27°C (2) 267 K (4) 12°C

Explanation:

highest average kinetic energy highest temperature

Answer:

the answer is 27

Explanation:

What does the little ‘2’ in 2O2 mean?

Answers

Answer:200

Explanation:

it means 2 oxygen atoms in the molecule


Explain how light is produced in neon signs.

Answers

Answer:

The energy that makes light is 'produced' when you pass a high-voltage alternating current through a low-pressure gas sealed in a glass tube.

Explanation:

__ has mass and takes up ____ i need help pls

Answers

Answer:

Matter has mass and takes up space.

Explanation:

Matter is everything around you. Atoms and compounds are all made of very small parts of matter.

Mass is a measure of the amount of matter in an object.

Please help me vote you brainiest

Answers

Answer:

If two forces act on an object in the same direction, the net force is equal to the sum of the two forces. This always results in a stronger force than either of the individual forces alone

Which continents were most difficult to place? Why?​

Answers

Answer:

Antarctica and Australia

Explanation:

Since both of these are furthest south it is more difficult to measure the correct distance between them.

The continents that were the hardest to locate were Antarctica and Australia because they are both the ones that are the furthest south, making it more challenging to calculate the proper distance between them.

A continent is a huge, continuous landmass on the surface of the Earth, typically divided by oceans or other major bodies of water. Africa, Antarctica, Asia, Europe, North America, Australia, and South America are the seven continents of the world. In terms of topography, climate, culture, and biodiversity, each continent is distinct. For instance, Asia is home to the Himalayas, the world's highest mountain range, while Africa is renowned for its huge savannas and diverse animals. While Australia is well known for its distinctive flora and wildlife, Europe is known for its historical sites and artistic creations.

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Prokaryote.
Prokaryotes are (What) celled organisms that lack a nucleus and
membrane-bound organelles.

Answers

Answer:

single celled organisms

Answer:

singled celled organisms

Explanation:

Just had class and they said this in class

Find the number of moles of water that can be formed if you have 154 mol of hydrogen gas and 72 mol of oxygen gas.

Answers

Answer:

The answer is 144 mol.

Explanation:

"72 mol of oxygen will form only 144 mol of water, and 10 mol of hydrogen remain in excess, so the limiting reactant is oxygen and hydrogen is in excess."

Certain gases in the atmosphere trap heat on Earth.
What is the name of this phenomenon?



cooling period



the greenhouse effect



global warming



glacial melting
if right i give brain thx and 5 star

Answers

Answer:

Greenhouse

Explanation:

A balloon moves vertically upward at
5 m/s. This is an example of ?
A.speed
B. Velocity
C. Acceleration
D.Velocity and acceleration

Answers

Answer:

B. Velocity

Explanation:

The answer is Velocity because the def of velocity is the rate of constant speed in a given direction. I hope this helps, have a good night.

Thermal energy is the ___ of the kinetic and potential energies of all particles in an object.
A sum B difference C multiplication​

Answers

Answer:

A.

Explanation:

I forgot butt im surely it is;-)

Why is gunshot residue important for a forensic scientist? What are the potential complications with this type of evidence?
FORENSICS

Answers

Answer:

Gunshot residue is important to forensic scientists because it can help measure the firing distance of a weapon, or if someone has fired a weapon lately based on what's on their hands. The potential complications of this evidence include it being uncertain if the residue is from another firing. This type of evidence can also be uncertain in a courtroom when firing distance is drawn into question.

Explanation:

write the chemical reaction and return the chemical equation: Ammonia when it interacts with oxygen produces nitric oxide (II) and water​

Answers

Answer:

NH3 + 02 > NO + H2O

Explanation:

Write the electron configuration of the element that has Z = 3 *

Answers

Answer:

1s²2s^1

Explanation:

Lithium Z = 3

A popular radio station broadcasts with a frequency of 94.7 MHz. What is the
wavelength of the broadcast? (1 MHz = 1x106 Hz).

Answers

Answer:

λ = 0.032×10² m

Explanation:

Given data:

Frequency of broadcasts = 94.7 MHz

Wavelength of broadcasts = ?

Solution:

Frequency of broadcasts = 94.7× 10⁶ Hz

Formula:

Speed of wave = frequency × wavelength

3×10⁸ m/s = 94.7× 10⁶ Hz × λ

λ = 3×10⁸ m/s /94.7× 10⁶ Hz

 Hz = 1/s

λ = 0.032×10² m

Answer: FM: 3.17m Am: 3.66m

Explanation:

A résumé should include your date of birth. True O False​

Answers

Answer:

True a resume should i.

Answer:

The answer is false on edg

what is the
formula and valency of
thiosulphate ​

Answers

Formula: NA2S2O3. Valency: 2

Which body parts don’t fossilize because animals tend to consume them?
A.
bones
B.
muscles
C.
shells
D.
teeth

Answers

Answer:

b. muscles is the answer

Explanation:

muscles is a meat, animals eat meat

Energy is defined as...
A.
the ability to do work.
B.
the ability to dissolve in water.
C.
the mass of a substance times its acceleration.
D.
how radioactive a substance is.

Answers

Answer:

A

Explanation:

the ability to dissolve in water

Answer: B.

Explanation: The ability to do work

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