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

Name the following branched alkanes. Two of these are isomers of each other, put a star ★ in their boxes.

Answers

Answer:

Structure 1:
The longest chain is made up of 4 carbons (butane). There is a 1-carbon branch (methyl). The lowest possible position of the branch is on the 2nd carbon. This makes the alkane: 2-methylbutane.

Structure 2:

The longest chain is made up of 7 carbons (heptane). There is a 2-carbon branch (ethyl). The lowest possible position of the branch is on the 4th carbon. This makes the alkane: 4-ethylheptane.

Structure 3:
The longest chain is made up of 4 carbons (butane). There are 2, 1-carbon branches (dimethyl). The lowest possible position of both branches is on the 2nd carbon. This makes the alkane: 2,2-dimethylbutane.

Structure 4:
The longest chain is made up of 3 carbons (propane). There are 2, 1-carbon branches (dimethyl). The lowest possible position of both branches is on the 2nd carbon. This makes the alkane: 2,2-dimethylpropane.

Structure 5:
The longest chain is made up of 6 carbons (hexane). There is a 1-carbon branch (methyl). The lowest possible position of the branch is on the 2nd carbon. This makes the alkane: 2-methylhexane.

Structure 6:
The longest chain is made up of 3 carbons (propane). There is a 1-carbon branch (methyl). The lowest possible position of the branch is on the 2nd carbon. This makes the alkane: 2-methylpropane.

The isomers are structures 1 and 4 because they contain the same amount of carbons (5) and hydrogens (12) while assuming different structures.

Nitroglycerine (C3H5(NO3)) is a powerful explosive. The products of this reaction are
elemental oxygen, elemental nitrogen, water, and carbon dioxide. The Gibbs free energy for this
reaction is negative at 273 K. Determine whether the reaction is spontaneous.

Answers

The Gibbs free energy describes the spontaneity of the chemical reaction. The reaction involving nitroglycerine is spontaneous.

What is spontaneity?

Spontaneity is the condition of the reaction that continuously makes the product without adding input energy again and again. It is determined by the Gibbs free energy of the system.

When the Gibbs free energy of the thermodynamic system is negative then the reaction is said to be exothermic and is a spontaneous reaction. The negative Gibbs free energy of nitroglycerine at 273 K shows spontaneity.

Therefore, the reaction is spontaneous.

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What is the repeating unit in this polymer? −CH2−CCl2−CH2−CCl2−CH2−CCl2−

Answers

The repeating unit in this polymer is  −CH2−CCl2 (i.e., Methylene-Dichlorocarbene).

What is a polymer?

In chemistry, a polymer is a molecule and/or structure composed of two or more repeating units.

These repeating units can be very reactive in a single composition or form a polymer when bound.

In conclusion, the repeating unit in this polymer is  −CH2−CCl2 (i.e., Methylene-Dichlorocarbene).

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What type of reaction is the following?
H₂O ---> H₂ + O

Answers

[tex] \boxed{ \frak{Answer }}[/tex]

It's decomposition reaction.

[tex] \sf{Explanation}[/tex]

In decomposition reaction, a compound breaks into simpler form on heating.

As, we can see in the above reaction, [tex] H_{2} O[/tex] is broken down into [tex] H_{2} [/tex] and [tex] O_{2} [/tex].

Hence it is a decomposition reaction.

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what force of attraction holds ionic compounds together

Answers

Answer:

electrostatic force

Explanation:

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 element do all carbonate materials contain

Answers

Answer:

All carbonates contain one carbon atom bonded to three oxygen atoms. Carbonates may include other elements. A few are calcium, iron, and copper. Carbonate minerals are often found where seas once covered the land.

What changes in color occur when bromine reacts with an alkene?

Answers

The dark red color of bromine disappears quickly and the mixture turns clear/colorless

What is the engine piston displacement in liters of an engine who’s displacement is listed as 430 in.²

Answers

For an engine whose displacement is listed as 430 in.², the engine piston displacement in liters is mathematically given as

PD= 7.37 L  

What is the engine piston displacement in liters of an engine whose displacement is listed as 430 in.²?

Generally, the equation for the dimensional analysis method,\, we convert in to L is mathematically given as

l*(v/l)*l/v

Therefore,  piston displacement

PD=(450 in3) . (1 dm3 / 61.024 in3) . (1 L / 1 dm3)

PD= 7.37 L  

In conclusion, piston displacement

PD= 7.37 L  

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

Round your answer to two decimal places.

Answers

Answer:

You can get to the answer in two steps:

calculate: 3.40⋅1022 atoms = x mol ?

using Avogadro's constant.

calculate: x mol = ? grams,

using the atomic mass of Helium.

Step 1

Avogadro's constant says that 1 mole of any atom contains 6.022⋅1023 atoms. In this case you have 3.40⋅1022 atoms:

3.40⋅1022atoms6.022⋅1023atomsmol = 5.65⋅10−2mol

Step 2

The atomic mass of helium (He) will give you the weight of one mole of this molecule: 1 mol = 4.00 gram:

4.00gmol⋅5.65⋅10−2mol = 0.226g

So the 3.40⋅1022 helium atoms weigh 0.226 gram.

I would really appreciate some help with this question:
Sulfur dioxide reacts with oxygen to produce sulfur trioxide:

2SO2(g) + O2(g) → 2SO3(g)

What mass of oxygen, in grams, would react completely with 1.28 g of sulfur dioxide?

Relative atomic masses (Ar): sulfur = 32, oxygen = 16

Answers

2 moles of sulfur dioxide : one mole of oxygen
Moles= mass/Mr
n= 1.28/(32+32)= 0.02 moles
0.02/2= 0.01 moles of oxygen
0.01 x 64 = 0.64g of oxygen

Write the formula unit equation for this reaction occuring in water:

Calcium sulfide and iron(II) bromide are mixed to form iron(II) sulfide and calcium bromide.

1. CaS(aq) + FeBr(aq) →FeS(s) + CaBr(aq)
2. CaS(aq) + Fe2Br(aq) →Fe2S(s) + CaBr2(aq)
3. CaS(aq) + FeBr2(s) →FeS(s) + CaBr2(aq)
4. CaS(aq) + FeBr2(aq) →FeS(s) + CaBr2(s)
5. CaS(aq) + FeBr2(aq) →FeS(s) + CaBr2(aq)
6. CaS(s) + FeBr2(aq) →FeS(s) + CaBr2(s)
7. CaS(aq) + FeBr2(aq) →FeS(aq) + CaBr2(aq

Answers

The formula unit equation for the given reaction occurring in water is

CaS(aq) + FeBr₂(s) → FeS(s) + CaBr₂(aq).

What is chemical reaction?

Chemical reactions are those reaction in which reactant molecules react with each other for the formation of product.

When calcium sulfide reacts with iron (II) bromide for the formation of iron(II) sulfide and calcium bromide will be represented through the following equation:

CaS(aq) + FeBr₂(s) → FeS(s) + CaBr₂(aq)

Above reaction best explains the formula unit of given reaction as all valency of atoms are satisfied there.

Hence, the required formula unit is CaS(aq) + FeBr₂(s) → FeS(s) + CaBr₂(aq).

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Indicate whether solutions of the following salts would be acidic, basic, or pH-neutral.
a. NaNO3
b. Ba(C2H3O2)2
C. CH3NH3Cl
4. C6H5NH3CHO2
e. CoBr3

Answers

Answer is NH4NO3

YOU HAVE WRITTEN WRONG IN OPTION NO. A

EXPLANATION

What is the IUPAC name of the compound N2O?

Answers

Answer:

Nitrous Oxide

Explanation:

How many covalent bonds must each carbon atom have around it in an organic or biochemical molecule? 1 2 3 4

Answers

Answer:

4 covalent bonds

Explanation:

Each carbon atom can form as many as four covalent bonds with other carbon atoms as well as with other elements. Be able to explain why this is so. Be able to list the four main groups of organic molecules and their functions in living things.

Which of the following do sound waves generally travel most
quickly through?

Answers

Answer:

Sound waves travel faster through solids, because they can better transmit the soundwaves to your eardrum faster since they are closer together than air.

Answer:

Sound waves generally travel most quickly through gases.. Sounds can travel through air and water but not through solids.  Sound waves travel hope this helps!

On the basis of its name, what is the correct structural formula for pentene? CH2=CH−CH2−CH3 CH3−CH2−CH2−CH3 CH3−CH2−CH2−CH=CH2 CH3−CH2−CH2−CH2−CH3

Answers

The answer is CH₃-CH₂-CH₂-CH=CH₂ , Option C correctly represents the structural formula for pentene .

What is Alkene ?

Any hydrocarbon containing one or more double bonds.

Alkenes are generally colorless non-polar compounds, somewhat similar to alkanes but more reactive.

The first few members of the series are gases or liquids at room temperature.

Pentenes are alkenes with the chemical formula C₅H₁₀.

Each contains one double bond within its molecular structure.

CH₃-CH₂-CH₂-CH=CH₂ , Option C correctly represents the structural formula for pentene .

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The pressure of a sample of 226 cm3 of methane is doubled. What is the new volume of the gas? Assume that the temperature stays constant

Answers

The new volume of the methane gas would be 113 atm

What is Boyle's law?

At constant temperature, the pressure of a gas is inversely proportional to its volume.

Mathematically; P1V1 = P2V2 where P1 = initial pressure, P2 = final pressure, V1 = initial temperature, and V2 - final temperature.

In this case, V1 = 226 [tex]cm^3[/tex],  P2 = 2P1

Thus: V2 = P1V1/2P1 = V1/2 = 226/2 = 113 atm

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Which statement correctly describes 1 mole of iodine (I₂)
A) its mass is 126.9g
B) its mass is 380.7 g
C) it contains 6.02*10^23 atoms
D)it contains 6.02*10^23 molecules

Answers

Answer:

It contains 6.02*10^23 molecules

Explanation:

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Thank you!

When writing a net ionic equation the sum of the charges for reactants is greater than the sum of charges for products

Please select the best answer from the choices provided

OT
OF

Answers

Answer:

Explanation:

Net ionic equations must be balanced by both mass and charge. Balancing by mass means ensuring that there are equal masses of each element on the product and reactant sides. Balancing by charge means making sure that the overall charge is the same on both sides of the equation.

What term describes the movement of small rock particles
away from their source?
O Weathering
O Decomposition
O Erosion

Answers

Answer:Erosion

Explanation:

I got it right on edmentum

Weathering


Weathering is described as the washing away of rocks


Hope am able to help

A sample of air is held in a 722 ml. container at 23.3°C. This sample is transferred into a 481 mL container
with a measured pressure of 2.055 atm and a stable temperature of 80.1. What was the initial pressure
in the first container (in atm)?
01.38
0.978
01.24
O 1.15

Answers

Apply combine gas law

T1=296.3KT2=353K

So

[tex]\\ \rm\Rrightarrow \dfrac{P_1V_1}{T_1}=\dfrac{P_2V_2}{T_2}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{P1(0.722)}{296.3}=\dfrac{0.481(2.055)}{353}[/tex]

[tex]\\ \rm\Rrightarrow 0.0024P1=0.0028[/tex]

[tex]\\ \rm\Rrightarrow P_1=1.167atm[/tex]

D

What is the concentration expressed in parts per million of a solution containing 20.0 grams of C6H12O6 in 80.0 grams of H2O?
A) 2.50 × 10^5 ppm
B) 2.00 × 10^5 ppm
C) 4.00 × 10^6 ppm
D) 5.00 × 10^6 ppm

Answers

Answer:

B is the answer. 2.00 x 10^5 ppm

Explanation:

Right on edmentum

Calculating the Equilibrium Solubility Constant
A specific metal ion, M²+, forms a relatively insoluble sulfide compound, MS, which dissolves to a very limited extent.
MS(s) = M²+ (aq) + S²-(aq)
The concentration of ions in a saturated solution was found:
[M²+ (aq)] = [S2-(aq)] = 0.000143 mol L-¹.
Calculate Ksp for the compound MS.
Give three significant figures.
Enter your answer in exponential form, for example, enter 0.000000672 as 6.72e-7 with no gaps and the -ve e if power
is -ve.

Answers

The solubility product of the substance MS in water is 2.0 * 10^-8.

What is solubility product?

The solubility product is an equilibrium constant that shows the extent to which a solid is dissolved in water.

In this case, the equilibrium is; MS(s) = M²+ (aq) + S²-(aq) but M²+ (aq)] = S^2-(aq)] = 0.000143 mol L-¹.

Thus

Ksp = [0.000143 ]^2 = 2.0 * 10^-8

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Which of the following describes how air resistance affects the motion of a falling object?(1 point) Air resistance may change the direction of a falling object but does not affect its speed. Air resistance may change the direction of a falling object but does not affect its speed. Air resistance opposes the force of gravity and causes falling objects to lose speed once they reach terminal velocity. Air resistance opposes the force of gravity and causes falling objects to lose speed once they reach terminal velocity. Air resistance opposes the force of gravity and causes an object to reach terminal velocity. Air resistance opposes the force of gravity and causes an object to reach terminal velocity. Air resistance works with gravity to pull a falling object towards the Earth. Air resistance works with gravity to pull a falling object towards the Earth.

Answers

Answer:

Air resistance opposes the gravity in a falling object hence the object loses speed once it reaches terminal velocity.

According to the experim

On a warm, pleasant day, you notice some clouds in the sky. The clouds are very high up in the sky and look quite thin.

tell me Which type of clouds are in the sky?

cirrus
cumulus
stratus
fog

Answers

Answer:

their citrus clouds

Explanation:

I looked it up on the internet

How many grams of Copper are in 500grams of Cu2CO3?

Answers

Answer:

≈170.22 [gr].

Explanation:

1) M(Cu₂CO₃)=2*64+12+3*16=188 [gr/mol];

2) the part of copper in Cu₂CO₃ is:

[tex]\frac{64}{188} =\frac{16}{47};[/tex]

3) 16/47% of 500 [gr] is:

[tex]500*\frac{16}{47}=170.22[gr].[/tex]

Compact efficient cars usually get 38 miles per gallon of gasoline

Answers

Answer:

Compact cars with smaller engines can't achieve more than 30 mpg because of the weight difference

Hope This Helped


The substance being dissolved

A) Solute
B) Solubility
C) Solvent

Answers

Answer:

A) Solute

Explanation:

In forming a solution, the substance which is dissolved by the action of the solvent is called solute.

emitted helium nucleus

Answers

The answer is alpha particle.
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