How old is a piece of cotton cloth if the half-life of carbon-14 is 5,730 years, and the carbon-14 composition of the cloth is 22 percent that of living plants?
Question 1 options:

A)

1,813 years

B)

1.21 × 10-4 years

C)

12,517 years

D)

1.21 × 10-4 years-1

Answers

Answer 1

The half-life is the time used by the concentration to get half of its initial value. The cotton cloth is 5097 years old.

What is radioactive decay?

Radioactive decay is the reduction of the initial concentration to the half value. The exponential decay can be given as:

[tex]\rm N(t) = N_{0}e ^{-\lamda t}[/tex]

The decay constant is calculated as:

[tex]\begin{aligned} \lamda &= \rm \dfrac {ln (2)}{t\frac{1}{2}}\\\\&= \dfrac{\rm ln(2)} {5730}\\\\&= 0.0001209\end{aligned}[/tex]

Solving further:

[tex]\begin{aligned}0.22 &= \rm e^{-0.0001209 \times t}\\\\\rm ln 0.22 &= -0.0001209 \times t\\\\\rm t &= \rm \dfrac{log 0.22}{-0.0001209}\\\\&= 5097 \;\rm years\end{aligned}[/tex]

Therefore, the cotton cloth is 5097 years.

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Related Questions

PLEASE HELP ASAPP!!!!! PLEASE I’LL TRY TO GIVE BRAINLIEST!

What is a benefit of fossil fuel consumption?

low pollution


increased greenhouse gases


renewable resource


cheap energy

Answers

Answer:

Cheap energy

Explanation:

Fossil fuels such as coal, oil, and gas are widely available and are much cheaper than other forms of energy (wind, nuclear, etc.) Fossil fuel products are also quite efficient, as the efficieny of fossil fuels is about 50% (which is actually really good), while solar panels for example are only about 15% efficient.

Question 7
The periodic table shows that a carbon atom has 6 protons. This means that a carbon atom also has
A
6 nutrons
B
6 electrons
С
More protons than electrons
D
An atomic mass that equals 6

Answers

Answer:

Carbon has an atomic number of 6. That means a carbon atom has 6 protons, 6 neutrons, and 6 electrons.

Calculate the mass (in grams) of 3.85 x 1024 carbon atoms.

Answers

Answer:

3.40⋅1022 helium atoms weigh 0.226 gram.

Explanation:

HELPPPPPP 30 POINTS Scientists are currently debating if a new epoch based on modern human activity should be added to the geologic timeline. What is the name of this epoch?

Question 27 options:

Anthropocene


Homo sapien


Holocene


Anthropology

Answers

Answer:

Anthropocene

Explanation:

Anthropocene epoch is sort of unofficial epoch that scientists have used to describe basically human made impact on geological scale.

here's more info:

https://www.earthsystems.com/the-anthropocene/

Nitrogen gas was collected by water displacement. What was pressure of the N, collected if the temperature was 22 °C?​

Answers

The pressure of the N₂ collected if the temperature was 22°C celcius is 98.6823 kPa.

What is atmospheric pressure?

The air around you has weight, and it presses against everything it touches. That pressure is called atmospheric pressure, or air pressure.

Atmospheric pressure = 101.325 kPa

Vapor pressure of water at 22°C = 2.6427 kPa

Pressure of N₂ = (Atmospheric pressure) - (vapour pressure of water at 22°C)

Pressure of N₂ = (101.325 kPa) - ( 2.6427 kPa)

Pressure of N₂ = 98.6823 kPa

Therefore, the pressure of the N₂ collected if the temperature was 22°C celcius is 98.6823 kPa.

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Need help with this chem question

Answers

Answer:

b its will shift left

c yes

Which of the following is the most likely impact of clearing natural landscape to construct high-rise buildings?

Decrease in pollution
Scarcity of drinking water
Increase in animal population
Abundance of non-native plants

Answers

Answer:

the abundance of non-native plants. this MAY be right.

Explanation:

i thought it would be an increase in pollution.

how does fire relate to science

Answers

Answer: A fire itself is the result of a chemical reaction known as combustion, where fuel and oxygen react with one another and atoms rearrange themselves irreversibly. For this to occur, fuel must reach its ignition temperature, and combustion will continue if there is enough fuel, heat and oxygen

During which of the following 50-year intervals has the world's population increased the most? O A. 1850-1900 O B. 1800-1850 O C. 1900-1950 O D. 1950-2000​

Answers

Answer:1950-200

Explanation:

During 1950-2000​ of the following 50-year intervals has the world's population increased the most. Hence, option D is correct.

What is population?

The whole number of people or inhabitants in a country or region.

The world's population increased from 2.5 billion in 1950 to around 7.3 billion in 2015 and is expected to continue to rise until 2050/2100 under most UN.

During 1950-2000​ of the following 50-year intervals has the world's population increased the most. Hence, option D is correct.

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This is an impossible formula. Pretend it is real.

If you had 1 mol of Mn6(ClO4)3 how many moles of O would there be? Make sure your answer includes TWO decimal places.

Answers

Moles are the ratio of grams to the grams per mole. There are 12 moles of oxygen after dissociation.

What is dissociation?

Dissociation is the release of the ions, cations, and anions of the molecular compound in the water. The dissociation of the compound is shown as:

Mn₆(ClO₄)₃  ⇆  6 Mn³⁺ + 3ClO⁴⁻

From the dissociation, it can be said that 1 mole of magnesium chlorate dissociates into 12 moles of oxygen atoms.

Given, that the moles of the compound is 1 mole.

Then moles of oxygen atom will be: 1 × 12 = 12 moles

Therefore, 12 moles of oxygen atoms are produced from the dissociation of the compound.

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What is the change in vapor pressure when 74.10 g fructose, C6H12O6, are added to 181.5 g water (H2O) at 298 K (vapor pressure of pure water at 298 K = 3.1690 kPa, molar mass of fructose = 180.156 g/mol, molar mass of water = 18.02 g/mol)?

Answers

The change in vapor pressure when 74.10 g fructose, C6H12O6, are added to 181.5 g water is 0.146.

What is vapor pressure?

Vapor pressure is the  measure or tendency of  a substance to change into a vapor or gaseous state.

[tex]\rm Mole\; fraction\; of\; water = \dfrac{nH_2O}{nH_2O+npent.}[/tex]

Calculate the moles of water and fructose

[tex]\rm Number\;of \;moles= \dfrac{181.5 g}{18.02}= 10.072\\\\\rm Number\;of \;moles= \dfrac{74.10 g }{180.156 g/mol}=0.4113[/tex]

The total number of moles are

[tex]\dfrac{10.072}{10.072 + 0.486} = \dfrac{10.072}{10.558} = 0.953[/tex]

Calculating the vapor pressure

0.953 x 3.1690 kPa = 3.023

Change in vapor pressure

3.1690 kPa - 3.023 = 0.146

Thus, the  change in vapor pressure is 0.146.

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dictwbdjdiucgahsuxijsjaashduhsh

Answers

Answer:

stroke

Explanation:

it is said that what in the universe is made of either matter or energy

Answers

Answer:

normal matter, dark matter , dark energy

Is the following reaction always, sometimes or never spontaneous: NaOH(s) → Na+(aq) + OH-(aq)

Answers

See

NaOH was in solid state

Both the solute and solvent turns to aqueous i.e liquid form .

So

Randomness increasesGibbs free energy decreases ∆G is -ve

So

spontaneous always

How much heat is released when 60.0 G of steam at 235°C is converted to water at 100°C?

Answers

Answer:12668 J.

Explanation:

First of all, steam is there so in order to convert it into water it must have to release latent heat of vaporization which is equal to approximately 2450 kJ/kg or 2450 J/g.

So, the calculation is given below.

Heat released during conversion of steam at 100°C to water at 100°C= m*L

= 5*2450= 12250 J.

Heat released during conversion of water at 100°C to water at 80°C= m*Cp*(∆T)

= 5*4.18*20= 418 J.

So total heat released= 12668 J.

hope this helps:)!!!

The heat energy released or absorbed by a system can be calculated using calorimetric equation. The heat is released when 60.0 g of steam at 235°C is converted to water at 100°C is 33858 J or 338 KJ.

What is calorimetry?

Calorimetry is an analytical tool used to determine the heat energy q absorbed or released in a reaction system. The calorimetric equation connecting mass of the reactant m, specific heat capacity c and temperature difference ΔT is related by the expression:

q = mcΔT.

The mass of steam is given 60 g and temperature difference is from 235 to 100 °C thus 135 °C and the specific heat capacity of  water or steam is 4.18 J/°C. The heat energy released is calculated as follows:

q = 60 g × 4.18 J/°C × 135 °C

  = 33858 J

Hence, heat is released when 60.0 g of steam at 235°C is converted to water at 100°C is 33585 J.

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What is the name of the functional group that is attached to this hydrocarbon? a carbon atom is single bonded to o h to the right, and h below, left, and above. alkyl halide alcohol carbonyl ketone

Answers

The name of the functional group that is attached to the following hydrocarbon is alcohol. Details about functional group can be found below.

What is functional group?

A functional group in chemistry refers to a specific grouping of elements that is characteristic of a class of compounds, and determines their chemical properties.

According to this question, a hydrocarbon was given to possess the following formula:

CH3OH

This hydrocarbon is methanol and posseses an alcohol functional group (OH).

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Answer:

What is the name of the functional group that is attached to this hydrocarbon?

                                                              H

                                                              │  

                                                      H ─ C  ─ OH

                                                              │

                                                              H

❌ A) alkyl halide

✔️ B) alcohol

❌ C) carbonyl

❌ D) ketone

I Took Question Test And Nice Day.

Identify all of the ions that are
formed when H3PO4 ionizes in water

Answers

Answer:

H3PO4 + H2O (Phosphoric acid + Water)

Explanation:hope its help

If a 1.75 liter solution contains 0.877 moles of CuCO3, what is the molarity?

Answers

Answer:

0.50 Molar or 0.50 Mol/L

Explanation:

Molarity = [tex]\frac{Moles of Solute}{Litres of solution}[/tex]

Molarity = n / V

Given: Volume of solution(V): 1.75 Litres

Moles of solute(n): 0.877

Substituting values,

Solution:

Molarity = [tex]\frac{0.877}{1.75}[/tex]

Molarity = 0.50 Molar (rounded off to the nearest decimal place)

Molarity = 0.50 Molar/ 0.50 Mol/L

5
Select the correct answer.
In the Arrhenius equation, which variable represents the activation energy for the reaction?
A. Ea
B. R
C.T
D.k

Answers

Answer:

A. Ea, activation energy,, hope this helps.

Sample Response: According to the passage, a singularity is a single point of densely packed matter that sits at the center of a black hole. In other words, there's a lot of matter packed really tightly together, making it really heavy. This heavy bunch of matter is squished into the tiny space at the middle of a black hole.

Which details did you include in your explanation? You can check more than one answer.

I included text evidence that helped me to figure out what a singularity is.
I simplified the complex language using my own words.
I made a comparison or gave an example to help me explain.
I used synonyms and antonyms to help me explain.

Answers

The details included in the passage are I simplified the complex language using my own words. The correct option is B.

What is a passage?

A passage is a group of paragraphs which talks about a topic. We have to read the passage and then answer the question.

The given passage talks about black hole, it is a center of powerful gravitational force

Thus, the correct option is B. I simplified the complex language using my own words.

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Which you would expect to diffuse faster, A or B?
A a gas through another gas

B a liquid through another liquid


b) explain you answer

help pls!

Answers

Answer:

A

Explanation:

I would expect a gas to diffuse through another gas faster because gases generally diffuse much faster than liquids. Hence, A is the best option.

Which of the following results when hydrogen and chlorine chemically bond to form hydrogen chloride?
A.
a solution
B.
a mixture
C.
a precipitate
D.
a compound

Answers

Answer:

Hydrogen chloride is a mixture of hydrogen and chlorine elements. The chemical abbreviation of hydrochloric acid is HCl.

Explanation:

What mass of H₂ is required to produce 2 moles of NH3?

Answers

Answer: RATIOS IN TERMS OF MOLES

Solution: Solution According to the balanced equation, 2 moles of NH3 are produced when 3 moles of H2 react.

Which is the correct equation for calculating pH?

a
pH = log[H+]

b
pH = -log[H+]

c
pH = 10-[H+]

d
pH = 10-[H+]

Answers

Answer:

b

Explanation:

That is the defintion of pH

28.25 What two aldoses yield D-xylose on Wohl degradation?

Answers

56.5

Explanation:

the degradation would be 28.25 times 2

Which part of the heart takes blood from the veins and pumps it into a ventricle?


arteries


ventricles


valves


atria

Answers

Answer:

Atria

Explanation:

The part of the heart takes blood from the veins and pumps it into ventricle is called atria

Calculate the volume of 450g of gold (density=19.3 g/cm^3)

Answers

use dimensional analysis and set up your equation like so:

[tex]450g\ x\ \frac{cm^3}{19.3g}[/tex]

if you do the calculations, the 'g' should cancel out which leaves you with the unit 'cm³'

[tex]cm^3=\frac{450g}{19.3g}[/tex]

[tex]cm^3=23.31606218...[/tex]

= 23.3 cm³

[tex]\text{Density,}~ \\\\~~~~~~~\rho = \dfrac{m}{V}\\\\\implies V = \dfrac{m}{\rho}\\\\~~~~~~~~~~=\dfrac{450 ~g}{19.3 ~ g~cm^{-3}}\\\\~~~~~~~~~~=23.3~ cm^3\\\\\text{Hence, the volume of 450g gold is }~23.3 ~cm^3.[/tex]

05.03: SOUND Energy 9PTS!(9 points)


If objects have a lot of room to vibrate they tend to produce low pitches. If objects can only vibrate a little, they tend to vibrate faster and produce higher pitches. This investigation different an ounce of water effect a glass ability to vibrate observing the pitches it produces.



Question


How does the amount of water in a glass effect the pitch of sound


Hypothesis


complete the hypothesis statement by filling in blank.



If the amount of water in a glass is ________. then the sound pitch will be _______


Variables


What is the test Variable?



__________________________________________________________________



What is the outcome variable?



__________________________________________________________________



What are the constants in this investigation?



__________________________________________________________________



What would you do to ensure that you have a control for this experiment


________________________________________________________________________________________________________________________________________

Answers

The pitch of sound increases with decrease in the air volume.

What is the effect of the space on the pitch of sound?

The pitch of sound increases with as decrease in the space available for the vibrating particles to vibrate decreases.

In the experiment with water in a glass and the pitch of sound:

If the amount of water in a glass is increases then the sound pitch will be increased.The test variable is the volume of water in th glass cupThe outcome variable is the pitch of soundThe constants are the glass cup and the sound sourceThe control in the experiment can be designed by ensuring that no external sound source is present.

Therefore, it was observed that the pitch of sound increases with decrease in the air volume.

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how many moles of o2 are needed to produce 34.7g of fe203

Answers

Answer:

5.09 moles of Fe is required to react with 3.82 moles of O₂.

0.326 moles of O₂ are needed to produce 34.7 grams of Fe₂O₃.

Reaction stoichiometry

In first place, the balanced reaction is:

4 Fe + 3 O₂ → 2 Fe₂O₃

By reaction stoichiometry (that is, the relationship between the amount of reagents and products in a chemical reaction), the following amounts of moles of each compound participate in the reaction:

Fe: 4 moles

O₂: 3 moles

Fe₂O₃: 2 moles

The molar mass of the compounds is:

Fe: 55.85 g/mole

O₂: 32 g/mole

Fe₂O₃: 159.7 g/mole

Then, by reaction stoichiometry, the following mass quantities of each compound participate in the reaction:

Fe: 4 moles ×55.85 g/mole= 223.4 grams

O₂: 3 moles ×32 g/mole= 96 grams

Fe₂O₃: 2 moles ×159.7 g/mole= 319.3 grams

Moles of Fe needed

The following rule of three can be applied: If by stoichiometry of the reaction 3 moles of O₂ react with 4 moles of Fe, 3.82 moles of O₂ react with how many moles of Fe?

moles of Fe= 5.09 moles

Finally, 5.09 moles of Fe is required to react with 3.82 moles of O₂.

Moles of O₂ needed

The following rules of three can be applied: If by reaction stoichiometry 319.3 grams of Fe₂O₃ are formed from 3 moles of O₂, 34.7 grams of Fe₂O₃ are formed from how many moles of O₂?

moles of O₂= 0.326 moles

Finally, 0.326 moles of O₂ are needed to produce 34.7 grams of Fe₂O₃.

Explanation:

Calculate the solubility product for the following:

Ce(IO3)4, 1.5 × 10–2 g/100.0 mL (IO3- is the anion)

Ksp = ______ x10______



Use correct significant figures

Answers

Answer: 2.749 x 10^-14

Explanation:

Given:

The concentration of Ce(IO3)4 in the solution = 1.5 x 10-2 g/100 mL= 0.15 g/1000 mL​​​​​​​= 0.15 g/L

Molar mass of Ce(IO3)4 = 839.7267 g/mol

Therefore, the molarity of Ce(IO3)4 in the solution is given by:

[tex]$$\begin{gathered}M=\frac{0.15 \mathrm{~g} / L}{839.7267 \mathrm{~g} / \mathrm{mol}} \\M=1.7863 \times 10^{-\mathbf{4}} \mathrm{mol} / {L}=\mathbf{1 . 7 8 6 3 \times 1 0 ^ { - \mathbf { 4 } } \boldsymbol { M }}\end{gathered}$$[/tex]

The solubility equilibrium is given by:

[tex]$$\mathrm{Ce}\left(\mathrm{IO}_{3}\right)_{4(s)} \rightleftharpoons \mathrm{Ce}_{(a q)}^{3+}+3 \mathrm{IO}_{3}^{-}(a q)$$[/tex]

Therefore, the solubility product is given by:

[tex]\begin{gathered}K_{s p}=\left[C e^{3+}\right] \cdot\left[I O_{3}^{-}\right]^{3} \\\therefore K_{s p}=\left(1.7863 \times 10^{-4}\right) \times\left(3 \times 1.7863 \times 10^{-4}\right)^{3}\end{gathered}[/tex]

[tex]\therefore {K_{s p}=2.749 \times 10^{-14}[/tex]

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Find the length of each arc. Round your answers to the nearest tenth.5 m285Cul es la respuesta???math help for this practice work 14.36: Tyler has entered a buffet line in which he chooses one kind of meat, two different vegetables, and one dessert from the selections below. If the order of food items is not important, how many different meals might he choose? Meat beef, chicken, porkVegetables: baked beans, corn, potatoes, tomatoesDessert:brownies, chocolate cake, chocolate pudding, ice cream HELP ME PLEASE IM GOING TO FAIL!!! ((x)Which is the simplified form of the expression(xyv)?OO121.12Oxiy120x324 A shark spotter is standing at lookout point 25m above the waters edge. He spots a shark in the water at an angle of depression of 50. If the swimmer that is also in the water is sim from the foot of the lookout spot, how far is the shark from the swimmer? Where does energy go after it hits gas? Which of the following could be left out of an electrical circuit?the power sourcethe switchthe wirethe resistor You might need:Calculatorf(t) = 2 + 19t + 601) What are the zeros of the function?Write the smaller t first, and the larger t second.smaller t=larger t =2) What is the vertex of the parabola? The expression below represents the perimeter, in feet, of Manuals garden. 15 + 2x + 7 + 15 + 2x + 7 Use exactly two terms to write an equivalent expression to represent the perimeter, in feet, of Manuals garden. The area, measured in square feet, of Manuals garden is found by calculating 15(2x + 7). Manual incorrectly says the area can also be found using the expression 30x + 7. Describe the error in Manuals expression. Also, find the difference, in square feet, between the actual area of Manuals garden and the area found using his expression as a part of your explanation. Manuals friend Sasha designs a square garden. Each side measures 3x + 5 in length. The perimeter of Sashas garden is how much larger than the perimeter of Manuals garden? When lifting something heavy, which is the MOST important factor in doing it safely? A. the weight of the object B. the type of object it is C. your form when you are lifting D. your previous experience lifting boxes Which BEST explains why an artist would choose to use mixed media? a It is a new form of art that did not exist in previous eras. b It requires artists to have original and diverse ideas. c It is used by artists who have run out of one kind of material. d It expands the materials they can use to express their message. How far does the unicycle move if the wheel turns once? Pierre enters a 100m unicycle race. How many times must the wheel rotate completely in order for Pierre to travel 100m? Why were Latin American countries industrialized later than Europe and the United States?O Latin American businesses built many factories but the factories failed to be profitable for the owners.O Latin American governments created laws that prevented private ownership of many types of factories.O Latin American companies lacked access to natural resources needed to create products through industry.O Latin American workers had developed skills specific to natural resources and trade rather than industrialization Read the following sentences: Lydias gambit to find the secret ingredient in Gerts prize-winning molasses cookies was to pretend she had severe food allergies and needed to know the recipe as a matter of life and death. It was a sneaky trick, and it worked.Based on context clues in the reading, define "gambit."schemerequestexperimenttheory A hypothesis that girls have better memory than boys Why does uncontrolled growth of algae in a lake cause fish to die?A.Bacteria that eat dead algae use up all the oxygen in the water.B.The algae interfere with the fish's ability to reproduce.C.Predatory fish increase in number and destroy other fish populations.D.The algae compete for the same food source as the fish. What is computer vision syndrome 25x^4-8y^4 is not the difference of two squares. Identify the correct explanation for this statement. please solve this problem using the pythagorean theorem, and give me the right answer and I will give you brainliest. :)