Radioactive isotope X has a half-life of 500,000 years. This isotope may be found in some types of volcanic rocks. A particular sample of volcanic rock taken from a layer that covered up some of the earliest known human-like footprints contains 0.125 mg of isotope X. The volcanic rock sample originally contained 8.00 mg of isotope X. How long ago were these footprints made. I need the equation. Thanks. please I am stuck on this question. PLEASE

Answers

Answer 1

Answer: The footprints were made [tex]2.99\times 10^6years[/tex] years long ago.

Explanation:

Radioactive decay follows first order kinetics.

Half-life of isotope X= 500,000 years

[tex]\lambda =\frac{0.693}{t_{\frac{1}{2}}}=\frac{0.693}{500000}=0.00000139year^{-1}[/tex]

The equation for first order kinetics is :

[tex]N=N_o\times e^{-\lambda t}[/tex]

N = amount left after time t  = 0.125 mg

[tex]N_0[/tex] = initial amount  = 8.00 mg

[tex]\lambda[/tex] = rate constant

t= time  

Putting the values we get:

[tex]0.125=8.00\times e^{- 0.00000139years^{-1}\times t}[/tex]

[tex]0.0156=e^{- 0.00000139years^{-1}\times t}[/tex]

[tex]t=2.99\times 10^6years[/tex]

The footprints were made [tex]2.99\times 10^6years[/tex] years long ago.


Related Questions


It is found that after 24!hours 1/8 of the mass of a sample of a radio-active isotope remains What is the half-life of this isotope?

Answers

Answer:7.72 years

Nuclear half-life expresses the time required for half of a sample to undergo radioactive decay.

Explanation:

0.01 = 67.0 ×[tex](\frac{1}{2}) ^{\frac{98.0} {1/2 } }[/tex] [tex]\frac{0.01}{67.0}[/tex] = 0.000149=[tex](\frac{1}{2}) ^{\frac{98.0} {1/2 } }[/tex]

[tex]^{\frac{98.0} {1/2 } }[/tex] =log[tex]_{0.5}[/tex] (0.000149)=12.7

[tex]^{\frac{98.0} {1/2 } }[/tex]=7.72 years

Hope this helps have a great day/afternoon :)

How long does one complete orbit of Earth around
the sun take, give the amount in years and days?

Answers

Answer:365 days, 5 hours, 59 minutes and 16 seconds.

An ice cube is placed in a glass of water. Which of the following best explains the
heat transfer?

A: The thermal
is moving
from the water to from the ice cube into the water into the water
causing the
temperature of
the water to
increase.
B: the thermal energy is moving from the water to the ice cube causing the temperature of the water to decrease
C: the thermal energy is moving from the ice cube into the water causing the temperature of the water to increase
D: the thermal energy is moving from the ice cube into the water causing the temperature of the water to decrease.​

Answers

D: the thermal energy is moving from the ice cube into the water causing the temperature of the water to decrease.​



Infer Why is a mechanism needed to remove carbon
dioxide gas from your cells?

Answers

Answer:

Because too much Carbon Dioxide can kill us.

Explanation:

^^ what he said. carbon dioxide, if there is enough in our body, can eventually kill us. it can be seen with deep sea divers, which after several continuous deep dives can have a excessive amount of carbon dioxide in there body to a lethal amount, having to force them into special rooms which allows the deep sea divers to decompress slowly and remove a good bit of the dioxide to lower the amount in them.

name the gas formed when metals react with dilute hcl​

Answers

Answer:

im maybe 80% sure it's hydrogen gas

Answer:

When a metal reacts with dilute hydrochloric acid, it forms a metal chloride salt and hydrogen gas.

15
The correct formula for a compound formed from the elements Al and O is
a. AIO.
b. Al2O.
c. Al3O2-
d. AIO3.
e. Al2O3.

Answers

a.) AlO is the correct formula

write the molecular fotmula of water​

Answers

Answer:

H20

Explanation:

Answer:

hope it helped you

Explanation:

H2O (u have to write ✍️no 2 below H.

You can separate air into two different substances by density. What is air?
O A. A mixture
OB. A compound
C. An atom
D. An element
SUB

Answers

A mixture I hope it’s righttt!

Can y’all look at this and help please

Answers

Answer:

2, 3, 4, 5

Explanation:

Pretty sure protons matter a lot unless in acid and bases but ignore this. Atoms mostly empty space as electrons are reeeeeeeeeeaaaallllllyyyy far apart. number of electrons change it is an ion and neutrons change pretty sure its an isotope. Electrons are stupidly small and fast so they don't really count towards the weight. Most mas comes from neutrons and protons in the nucleus

Answer:

2,3,4,5

1st is wrong cuz if u change the number of proton it would change the atomic number which results in different element

6th is wrong because most mass of the atoms come from neutrons and protons collectively so if it would have said THE ATOMS MASS MOSLTY COMES FROM NUCLEONS then u could mark it right

when is an object in free fall

Answers

Answer:

a free-falling object is an object that is falling under the sole influence of gravity. That is to say that any object that is moving and being acted upon only be the force of gravity is said to be "in a state of free fall." Such an object will experience a downward acceleration of 9.8 m/s/s.

Which statement is not
true?
A. Protons are positive and neutrons are
neutral
B. Electrons have the most mass of the
subatomic particles
C. Protons and Neutrons are found in the
nucleus
Electrons are found outside the nucleus
and have a negative charge

Answers

Answer:

B. Electrons have the most mass of the

subatomic particles

Compared to the mass of neutron and proton, mass of electron is negligible.

Answer:

B

Explanation:

when creating a Bohr model, you will usually mark protons + or P and neutrons are usually 0 or N.

Electrons are on the rings surrounding the nucleus, but everything else is inside.

Electrons are typically represented by - or E

Selena is learning about how engineers choose metals for spacecraft. She discovers that spacecraft engineers often mix other metals with titanium. Titanium is a metal that is both lightweight and strong. It also resists corrosion. Selena wants to compare titanium with other metals. She looks at the cell from the periodic table that represents titanium.




Explain what each of the four items in the cell represents. Then, classify titanium as an alkali, alkali earth, or transition metal.

Answers

Ti is a transition metal.

Further explanation

Chemical symbol represent element or compound

The elements are arranged in the periodic system

1. 22

This is the atomic number of Titanium

The Atomic Number (Z) indicates the number of protons of an element

2. Ti

This is the symbol (chemical formula) of titanium

3. 47.90

This is the mass number of Titanium

Mass Number (A) = Number of protons + Number of Neutrons

Atomic Number (Z) = Mass Number (A) - Number of Neutrons

4. Titanium

This is the name of the element

To determine which group, alkaline, alkaline earth or transition it can be seen from the electron configuration

alkali and alkali earth : configuration from orbital 1s-7s

transition : configuration from orbital 3d-6d (Block d)

Electron configuration from Ti : [Ar] 3d²4s²

if we look at the configuration, then Ti is in the d block which is included in the transition metal

Answer:

The answer is 26

Explanation:

I just took the test

A mixture that is uniformly mixed is called __. a homogeneous b heterogeneous c suspension d colloid

Answers

Answer:

a. homogenous

Answer:  A. homogeneous

Explanation: A mixture that is uniformly mixed is called homogeneous.

Plz mark brainliest:)

what is octane number​

Answers

Answer:A measure of performance of fuel for internal combustion engines. Stated simply, a higher octane rating corresponds to more engine power and less knocking or other pre-ignition problems.

Explanation:

I'm also in chemistry.

Answer:

Explanation:

figure indicating the antiknock properties of a fuel, based on a comparison with a mixture of isooctane and heptane.

Question 3 (4 points)
A dipole bond is formed when electrons are not shared equally in a covalent bond, resulting in a partial negative charge on one end of the
molecule and a partial positve charge on the other end.
O True
O False

Answers

The answer is true.

How can you tell if an element is a metal or a nonmetal??

Answers

Answer:

Elements to the left of the line are considered metals. Elements just to the right of the line exhibit properties of both metals and nonmetals and are termed metalloids or semimetals. Elements to the far right of the periodic table are nonmetals. The exception is hydrogen (H), the first element on the periodic table.

Explanation:

Answer:

looking at its metallic luster

Explanation:

Elements may be classified as either metals or nonmetals based on their properties. Much of the time, you can tell an element is a metal simply by looking at its metallic luster, but this isn't the only distinction between these two general groups of elements. Most elements are metals.

I WILL GIVE U BRAINLIEST!!!!!!!

Answers

Answer:

I think its b. if not sorry but its the one that makes most sense

Explanation:

Answer:

B

Explanation:

Hope this helps you have a nice day!

Explain what a cold front is.

Answers

Answer:

A cold front is a boundary or zone that separates two air masses. The cooler more dense mass replaces the warmer.

hope this helps :)

Explanation:

Answer:

A cold front is a boundary or zone that separates two air masses. The cooler more dense mass replaces the warmer.

Explanation:

i am smart.....( i think )

In the human body, a series of chemical reactions results in the making of energy that is used at both the cellular and organismal levels.

In which course would a person most likely study these chemical reactions?
biochemistry
geochemistry
materials chemistry
physical chemistry

Answers

Answer:

It is A: biochemistry

Explanation: i seen there was no answer so i took a chance and surprisingly got it correct

Answer:

e correct option is all of the above

Explanation:

Friendship is delicate as a glass, once broken it can be fixed but there will always be cracks. Two persons cannot long be friends if they cannot forgive each other's little failings. We all lose friends.. we lose them in death, to distance, and over time.

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Answer:

make a new friend if you lose one, Its part of life losing people thats what make us people grow and be more mature.

Which of the following models best demonstrates the law of conservation of mass??
(LOOK AT THE PICTURES)!!

Answers

Answer:

i think its D

Explanation:

The law of conservation of mass or principle of mass conservation states that for any system closed to all transfers of matter and energy, the mass of the system must remain constant over time, as the system's mass cannot change, so quantity can neither be added nor be removed.

Taking into account the law of conservation of mass,

The Law of Conservation of Matter is also called the law of conservation of mass or the Law of Lomonósov-Lavoisier. This law postulates that "The mass is not created or destroyed, only transformed."

This means that the reagents interact with each other and form new products with different physical and chemical properties than those of the reagents. And this is because the atoms of the substances are ordered differently.

But the quantities of the masses involved in a given reaction must be constant throughout it, that is, they will not have changed in their proportions when the reaction ends. Then the mass before the chemical reaction is equal to the mass after the reaction.

The exception to the rule is nuclear reactions, in which it is possible to convert mass into energy and vice versa.

Finally, the correct answer is option A. because the atoms of the substances are ordered differently, this is the reagents interact with each other and form new products.

Learn more about law of conservation of mass:

https://brainly.com/question/20081187?referrer=searchResultshttps://brainly.com/question/23986198https://brainly.com/question/13410855

Nuclear energy is currently used in which three kinds of vehicles?

Answers

Answer:

A. cars, submarines, spacecraft

Explanation:

I took the test.

How many protons are there in a neutral, stable Hydrogen atom that makes up 99.985% of the element?

A. 1

B.2

C.3

D.4

E.0

Answers

Answer is A because

Help meh, please !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

volume of 200mL, density shows it weighs .789 grams for every mL.  .789*200= 157.8 grams

Explanation:

Which particle changes to create a positive or negative ion of an atom?
A.proton
B. neutron
C. electron

Answers

Answer:

it is alkali

Explanation:

hope it helps you

The answer is Neutron, a proton keeps a positive charge and never changes unless it dies out, same thing fir a electron. An electron keeps an negative charge. A neutron is neutral it is neither a proton or an electron. But it can change if needed to.


When 3.00 grams of methane, CH,, reacts according to the balanced equation below, how many molecules of water are produced?
CH, + 202 - CO2 + 2H20

Answers

Answer:

2.41×10²³ molecules of water

Explanation:

Given data:

Mass of methane = 3 g

Molecules of water formed = ?

Solution:

Chemical equation:

CH₄ + 2O₂    →     CO₂  + 2H₂O

Number of moles of methane:

Number of moles = mass/ molar mass

Number of moles = 3 g/ 16 g/mol

Number of moles = 0.2 mol

Now we will compare the moles of water with methane.

               CH₄           :              2H₂O

                  1              :                  2

                0.2            :             2 × 0.2 = 0.4 mol

Molecules of water:

1 mole = 6.022×10²³ molecules of water

0.4 mol ×6.022×10²³ molecules of water / 1mol

2.41×10²³ molecules of water

The mass of an object is 24g and the volume of the object is 16 mL. Calculate the
density of the object?

Answers

Answer:

D = m/v

Explanation:

So m = 24g and v = 16mL. (I assume these are the units being used). Then, we get D = 24g/16mL which is 1.5 g/mL

Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!!

Answers

I beleive it would be 0.8

the volume of water alone is 4.8

the volume of rock and water is 5.6

you would subtract them both to find the volume of the Rock.

two disadvantages of series connection?​

Answers

Answer:

1- if one component in a series circuit fails, then all the components in the circuit fail because the circuit has been broken.

2-  the more components there are in a series circuit, the greater the circuit's resistance

Sodium has______ Valence electrons and bismuth has ________ electrons


Please help ASAP on market as brainlister

Answers

Answer:

Sodium has 1 valence electron and bismuth has 83 electrons (5 valence electrons)

Explanation:

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