If the half-life of Carbon-14 is 5700 years, how many years would it take a sample to decay from 1 gram to 31.3 mg

Answers

Answer 1

Answer:

28500 years

Explanation:

Applying,

A = A'([tex]2^{x/y}[/tex])............... Equation 1

Where A = Original mass of Carbon-14, A' = Final mass of carbon-14 after decaying, x = total time, y = half-life.

From the question,

Given: A = 1 g, A' = 31.3 mg = 0.0313 g, y = 5700 years.

Substitute these values into equation 1

1 = 0.0313([tex]2^{x/5700}[/tex])

[tex]2^{x/5700}[/tex] = 1/0.0313

[tex]2^{x/5700}[/tex]  = 31.95

[tex]2^{x/5700}[/tex] ≈ 32

[tex]2^{x/5700}[/tex] ≈ 2⁵

Equating the base and solve for x

x/5700 ≈ 5

x ≈ 5×5700

x ≈ 28500 years


Related Questions

Limitations of Pearson rule

Answers

Hope this helps!!
Pearson correlation limitations
Limit: Coefficient values can range from +1 to -1, where +1 indicates a perfect positive relationship, -1 indicates a perfect negative relationship, and a 0 indicates no relationship exists..
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PbO2 + 4HCl --- PbCl2 + Cl2 + 2H2O who buys electrons and who loses electrons?​

Answers

Answer: Electrons are taken up by [tex]PbO_2[/tex] and they are lost by [tex]HCl[/tex]

Explanation:

Redox reaction is defined as the reaction in which oxidation and reduction take place simultaneously. It is also called the reaction where the exchange of electrons takes place.

An oxidation reaction is defined as the reaction in which a chemical species loses electrons takes place. In this reaction, the oxidation state of a substance gets increased.

A reduction reaction is defined as the reaction in which a chemical species gains electrons takes place. In this reaction, the oxidation state of a substance gets reduced.

For the given chemical reaction:

[tex]PbO_2+4HCl\rightarrow PbCl_2+Cl_2+2H_2O[/tex]

The half-reactions for this redox rection follows:

Oxidation half-reaction:  [tex]2HCl\rightarrow ClO_2 + 2e^-[/tex]

Reduction half-reaction:  [tex]PbO_2+2e^-\rightarrow PbCl_2[/tex]

Hence, electrons are taken up by [tex]PbO_2[/tex] and they are lost by [tex]HCl[/tex]

If only 0.225 g of Ca(OH)2 dissolves in enough water to give 0.100 L of aqueous solution at a given temperature, what is the Ksp value for calcium hydroxide at this temperature

Answers

Answer: The [tex]K_{sp}[/tex] value for calcium hydroxide at this temperature is [tex]1.08 \times 10^{-4}[/tex].

Explanation:

Given: Mass of [tex]Ca(OH)_{2}[/tex] = 0.225 g

Volume = 0.100 L

As moles is the mass of substance divided by its molar mass.

So, moles of [tex]Ca(OH)_{2}[/tex] (molar mass = 74 g/mol) is calculated as follows.

[tex]Moles = \frac{mass}{molar mass}\\= \frac{0.225 g}{74 g/mol}\\= 0.003 mol[/tex]

Molarity is the number of moles of substance present in a liter of solution.

Hence, molarity of given solution will be as follows.

[tex]Molarity = \frac{moles}{Volume (in L)}\\= \frac{0.003 mol}{0.1 L}\\= 0.03 M[/tex]

The equation for dissociation of  [tex]Ca(OH)_{2}[/tex] is as follows.

[tex]Ca(OH)_{2} \rightarrow Ca^{2+} + 2OH^{-}[/tex]

This means that [tex][Ca^{2+}] = 0.03[/tex] and [tex][OH^{-}] = 2 \times 0.03 = 0.06[/tex]. Hence, [tex]K_{sp}[/tex] value for this reaction is calculated as follows.

[tex]K_{sp} = [Ca^{2+}][OH^{-}]^{2}\\= (0.03) \times (0.06)^{2}\\= 1.08 \times 10^{-4}[/tex]

Thus, we can conclude that the [tex]K_{sp}[/tex] value for calcium hydroxide at this temperature is [tex]1.08 \times 10^{-4}[/tex].

What is the colour change when universal indicator is added to a solution containing potassium

in water?​

Answers

Answer:. Dark purple

(b). Orange yellow

(c). Red

Explanation:

1. How did the change of stress (adding or removing reactants or products) cause a shift in the equilibrium system of your solutions? Use data to support your answer. Make sure you discuss all four stress changes: a. Adding a reactant b. Adding a product c. Removing a reactant d. Removing a product

Answers

Answer:

If reactant or product is removed, the equilibrium shifts to make more reactant or product, respectively, to make up for the loss.

If the reactant or product is removed, the equilibrium shifts to make more reactant or product, to make up for the loss.

an organic compound that contains only carbon and hydrogen and a triple bond (all the other bonds are single bonds) is classified as:
a. alkane
b. alkene
c. alkyne
d. arene

Answers

Answer:

c. alkyne.

Explanation:

Hello there!

In this case, according to the attached file, it turns out possible for us to say that alkanes have only single-bonded carbon atoms, alkenes have two double-bonded carbon atoms and alkynes have two triple-bonded carbon atoms.

In such a way, according to the aforementioned definition, we infer that that an organic compound that contains only carbon and hydrogen and a triple bond (all the other bonds are single bonds) is classified as c. alkyne.

Regards!

1) If a chemist has a 5.50 M solution of HCl, how many mL of acid will they need to add to how many mL of water in order to create 20.0 mL of 1.5 M HCl

Answers

Answer:

5.4 mL of acid need to be added to 14.6 mL of water.

Explanation:

We can calculate how many mL of acid are needed by using the C₁V₁=C₂V₂ formula:

5.50 M * V₁ = 1.5 M * 20.0 mLV₁ = 5.4 mL

Then we calculate how many mL of water have to be added in order to reach 20.0 mL:

20.0 mL - 5.4 mL = 14.6 mL

Thus, 5.4 mL of acid need to be added to 14.6 mL of water.

200 grams of iron (III) chloride reacts with ammonium carbonate [(NH4)2CO3] in the following equation.

FeCl3 + (NH4)2CO3 ---------> NH4Cl + Fe2(CO3)3



_ mole(s) of iron (III) carbonate [Fe2CO3)3] is/are produced in the balanced equation.


a
4
b
1
c
3
d
2

Answers

Answer:

0.616 moles of Fe₂(CO₃)₃ are produced when 200 g of FeCl₃ react

b. 1.

Explanation:

The balanced reaction is:

2FeCl₃ + 3(NH₄)₂CO₃ → 6NH₄Cl + Fe₂(CO₃)₃

First we convert 200 grams of FeCl₃ into moles, using its molar mass:

200 g ÷ 162.2 g/mol = 1.23 mol FeCl₃

Then we convert 1.23 moles of FeCl₃ into moles of Fe₂(CO₃)₃, using the stoichiometric coefficients of the balanced reaction:

1.23 mol FeCl₃ * [tex]\frac{1molFe_2(CO_3)_3}{2molFeCl_3}[/tex] = 0.616 mol Fe₂(CO₃)₃

The closest answer would be option b. 1.

Explanation:

[tex]FeCl₃ + (NH₄)₂CO₃ → NH₄Cl + Fe₂(CO₃)₃[/tex]

first balance the chemical equation

[tex]2FeCl₃ + 3(NH₄)₂CO₃ → 6NH₄Cl + Fe₂(CO₃)₃[/tex]

2 mole. 3 mole. 6mole. 1mole

2*162g of FeCl₃ produce 236 g of Fe₂(CO₃)₃

200g of of FeCl₃

produce 236/(2*162)*20=145.68 g of Fe₂(CO₃)₃

1 mole of Fe₂(CO₃)₃=236g

145.68g of Fe₂(CO₃)=1/236*145.68=}0.61mole

closest answer is b 1

b.1mole(s) of iron (III) carbonate [Fe2CO3)3] is/are produced in the balanced equation

Calculate the pH of a solution whose H3O+ concentration is 2.1 x 10-3 M. Is the solution acidc, basic, or neutral?


a

The pH of the solution is 2.7 and the solution is acidic.

b

The pH of the solution is 13.3 and the solution is acidic.

c

The pH of the solution is 13.3 and the solution is basic.

d

The pH of the solution is 2.7 and the solution is basic.

Answers

Answer:

Option A, The pH of the solution is 2.7 and the solution is acidic

Explanation:

As we know,

pH =  - log [H3O+]

Substituting the given values, we get

pH =  - log [2.1 x 10-3 M]

pH =  - (-2.678)

pH = 2.678 or 2.7

The solution is acidic as pH value is less than 7

Hence, option A is correct

If 23.6 mL of 0.200 M NaOH is required to neutralize 10.00 mL of a H3PO4 solution , what is the concentration of the phosphoric acid solution

Answers

Answer:

The correct answer is 0.157 M.

Explanation:

The chemical equation of the mentioned reaction is, 3NaOH + H₃PO₄ ⇄ Na₃PO₄ + 3H₂O The molarity of NaOH given is 0.2 M, the volume of NaOH given is 23.6 ml or 23.6 × 10⁻³ L. The moles of NaOH can be determined by using the formula, Moles of NaOH = Volume of NaOH × Molarity Moles of NaOH = 23.66 × 10⁻³ L × 0.2 M = 0.00472 moles Based on the reaction, 3 moles of NaOH needs 1 mole of H₃PO₄. So, 0.00472 moles of NaOH will require, 0.00472/3 = 0.0015733 moles.

The concentration or molarity of the H₃PO₄ will be, [H₃PO₄] = Moles of H3PO4/Volume of H₃PO₄ in liters (Volume of H₃PO₄ given is 10 ml of 10 × 10⁻³L) = 0.0015733 moles/ (10 × 10⁻³ L) = 0.157 M

Measure the initial temperature of the water to the nearest 0.1°C. Record in the data table.
Initial Temp. of Metal
Initial Temp. of water
Initial Temp. of Both

Subtract to find the temperature changes for the water and the metal

Water
Metal ​

Answers

The heat capacity of the metal is calculated using the formula:

Heat capacity = quantity of heat/(mass * temperature difference)

What is temperature?

The temperature of a substance is the degree of hotness or coldness of that substance.

Temperature difference between substances enables heat flow.

Heat flows from hot to cold bodies.

In the given experiment, to determine the heat capacity of a metal, the temperature difference is obtained by substracting the initial and final temperatures.

The heat capacity of the metal is then calculated using the formula:

Heat capacity = quantity of heat/mass * temperature difference

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Explain why the coefficients on the left side of the equation don’t necessarily equal the coefficients on the right side of the equation. Is this possible if mass is being conserved?

Answers

Answer:

Explanation:

Short answer: Yes.

The coefficients may not be conserved, but mass always has to be. Take this equation as an example

2 Mg3P2 ===>   6Mg + P4

There is a 2 on the left side and 6 and 1 on the right. I hope you mean that the coefficient 2 is not equal to 7.

But let's look a little closer. You have to look at the molecular structure of the left and right side.

2Mg3P2 has 6 Mgs and 4 Ps on the left side.

6Mg is on the right. They are free standing.

P4    has 1 molecule consisting of 4 Ps.

Everything balances.

This is a terrific question to be asking. You need to understand the internal balance numbers vs the molecular ones on the out side.

That sounds like a bit of gobbledygook and it takes a bit of study.

2 Mg3P2 means that Mg3P2 is written twice.

Mg3P2 ==> "3 Mg2+   +  2P3+   and there is another one written the same way.

Mg3P2 ==> "3 Mg2+   +  2P3+  

what does litmus do when it is put into sodium hydroxide?
PLEASE ANSWER ME FAST PLEASE

Answers

Answer:

The red litmus turns to blue

Explanation:

Hope it helps

Electronegativity _____ from top to bottom on the periodic table.

No links please :)​

Answers

Electronegativity is a measure of the ability of an atom to attract the electrons when the atom is part of a compound. Electronegativity values generally increase from left to right across the periodic table. Electronegativities generally decrease from top to bottom of a group.

PPLEASSEEE HELLPPP!!

Answers

Answer:

1.8 × 10² J

Explanation:

Step 1: Given data

Mass of the rock (m): 20 gInitial temperature: 10 °CFinal temperature: 29 °CSpecific heat capacity of granite (c): 0.48 J/g.°C

Step 2: Calculate the amount of heat absorbed (q)

We will use the following expression.

q = m × c × ΔT

q = 20 g × 0.48 J/g.°C × (29 °C - 10 °C) = 1.8 × 10² J

You need 520. mL of a 10. % (m/v) glucose solution. If you have a 25% (m/v) glucose solution on hand, how many milliliters do you need

Answers

Answer:

The answer is "208 mL".

Explanation:

[tex]C_1 = 25\% \ \frac{m}{v}\\\\C2 = 10\% \ \frac{m}{v}\\ \\V_1= 520\ \ mL\\\\V_2=?[/tex]

In dilutions of different concentration, its initial volume for glucose solution V1 can be obtained by using the following formula, i.e.

[tex]\to C_1V_1 = C_2V_2\\\\\to V_1 = \frac{C_2V_2}{C_1} \\\\= \frac{10 \times 520 }{ 25}\\\\ = 208 \ mL[/tex]

The solution of 520 mL [tex]10\%\ \ (\frac{m}{v})[/tex] final glucose solution thus requires 208 mL of glucose solution of [tex]25\%\ \ (\frac{m}{v})[/tex].  

if you were conducting an experiment with pepsin which has an optimal enzymatic actigity at ph 2.3, wat buffer would be the best choice

Answers

Answer: One with a pKa of 1.9

Hope this helps <3

P.S Fun Fact~~

There are only two words in the English language that have all five vowels in order: "abstemious" and "facetious."!

Answer:

Explanation:   Is there choises? H3PO4 / NaH2PO4 buffer with equal concentrations would form a buffer solution pH = 2.15

Consider four different samples: aqueous LiBr, molten LiBr, aqueous LiF, and molten LiF. Current run through each sample produces one of the following products at the anode: liquid bromine, fluorine gas, or oxygen gas. Match each sample to its anodic product from aqueous LiBr, Molten LiBr, aqueous LiF, and molten LiFA. Liquid bromine,
B. Fluorine gas,
C. oxygen gas

Answers

Answer:

Following are the solution to the given question:

Explanation:

Please find the matching in attached file.

During the electrolysis of Molten LiBr : Li is reduced and Br are oxidized .

Lithium Metal is produced at the Cathod during the electrolysis of Molten LiBR .

In the aquous LiBr : In aquous LiBr potential of Li is greater than the of water then Li is reduced to produce solid Li ion.  As well As aqueous LiF ( electrolysis)and Molten LiF electrolysis produce the gas.  

aqueous LiF: Oxygen gas.

Molten LiF : Flourine gas.  

Which is a fossil fuel?
O A. Coal
O B. Biomass
O C. Geothermal
O D. Nuclear

Answers

Answer:

coal

Explanation:

fossil fuels are formed by natural process.

Coal is the fossil fuel. A is correct.

Fossil fuels are non renewable source of energy that means once they get finished we will not be able to use them. Hence it is very important for us to find an alternate like a renewable source of energy like sunlight so that we will not have to depend on these fossil fuels and will not have to tolerate the pollution happening by them as well.

Given options are-

A. Coal

B. Biomass

C. Geothermal

D. Nuclear

Therefore, Coal is the fossil fuel. A is correct.

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define photo electric effect​

Answers

Photoelectric effect, phenomenon in which electrically charged particles are released from or within a material when it absorbs electromagnetic radiation.

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Which area of chemistry best links the use of titanium and plastics in artificial bone and joint replacements?

A) environmental chemistry
B) materials chemistry
C) agricultural chemistry
D) physical chemistry

Answers

Answer:I think it’s material chemistry

Explanation:

Answer:

Material chemistry.

Explanation:

Artificial bone and joint replacements is not environmental, it does not have anything to do with farming or such things, and physical chemistry has to do with chemical reactions which is not going on. This leaves materials chemistry.

In a calorimeter that contains water and an unknown metal, 100 grams of water
absorbs 4562.3 J of heat energy. How much heat energy does 15 grams of the metal
transfer to the water
a 4562.4 j
b 68434.5 j
c not enough info given
d 5244.5

Answers

C the other answer are tricking or is it

In Atom, what is a heavier sub-atomic particle than the others and explain why​

Answers

The nucleons are havier in sub atomic particle like neutrons and protons.

fun fact i read in a book even 1cm³ of nucleons are around 2 million Kg which you can't pick up by hand even by machines like buldozer.

How much energy is required to vaporize 2 kg of copper? Use the table below
and this equation: Q = mLvapor-

Answers

Answer:

9460 kj

Explanation:

just did it

Why is carbon used to date things that were once living?
A. Carbon is not toxic to living things.
B. The half-life of carbon depends on age.
C. The amount of carbon is easy to measure.
D. Living things take in carbon from food.

Answers

Answer:

a - carbon is not toxic to living things

Explanation:

The reason carbon dating works is that the fresh carbon-14 gets mixed in with the rest of the carbon in the atmosphere and, since it's chemically identical to regular carbon, gets worked into whatever is presently absorbing atmospheric carbon

What is the pH of a solution with a hydrogen ion concentration of 1.3X10^-11?
-11.1
-0.11
-10.9
-1.3​

Answers

Answer:

11,1

Explanation:

-log(1.3x10^-11)

The pH of a solution with a hydrogen ion concentration of 1.3X10^-11 is -11.1. Therefore, option A is correct.

What do you mean by the pH ?

The potential of hydrogen ion concentration is referred to as pH. a way to gauge how basic or acidic a material is. The pH scale represents from 0 to 14.

A pH value of 7 is considered neutral on this scale, which implies it is neither acidic nor basic. It is more than acidic if the pH value is below seven, and more basic if the pH value is above seven.

The pH can control the presence of nutrients, biological processes, microbial activity, and chemical behaviour.

Given:

Hydrogen ion concentration = 1.3X10^-11

pH = -log [H+]

pH = -log(1.3x10^-11)

pH = -11.1

Thus,-11.1 is the pH of a solution with a hydrogen ion concentration of 1.3X10^-11, option A is correct.

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If an atomic number of an element is 24, the number of protons the Atom has is

A. 24
B. 12
C. 189
D.51.996

Answers

Explanation:

i think the answer is A ........ hope this helps

It took 10.40 mL of a NaOH solution to neutralize 0.307 g of KHP. What is the molarity of the NaOH solution

Answers

Answer:

0.144 M

Explanation:

First we convert 0.307 g of KHP (potassium hydrogen phthalate, KHC₈H₄O₄) into moles, using its molar mass:

0.307 g ÷ 204.22 g/mol = 0.0015 mol KHP

1 mol of KHP reacts with 1 mol of NaOH, that means that in 10.40 mL of the NaOH solution there were 0.0015 moles of NaOH.

Now we calculate the molarity of the NaOH solution:

10.40 mL / 1000 = 0.0104 LMolarity = 0.0015 mol / 0.0104 L = 0.144 M

An aqueous solution contains 0.30 M potassium cyanide. One liter of this solution could be converted into a buffer by the addition of:

Answers

Answer:

Hydrocyanic acid, HCN.

Explanation:

A buffer is defined as the aqueous mixture of a weak acid and its conjugate base. Or a weak base and its conjugate acid. In the problem, we have a solution of potassium cyanide. The conjugate acid of potassium cyanide is hydrocyanic acid. A weak acid with pKa = 9.89.

That means, to convert the solution into a buffer we must add:

Hydrocyanic acid, HCN.

Which of these is NOT a producer in the coral reef ecosystem? *
1. phytoplankton
2. sea grass
3. microalgae
4. coral

Answers

Answer:

option number 4. 'coral'

Explanation:

-

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