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gulaghasi [49]
2 years ago
8

The half-life of carbon-14 is approximately 5700 years. An archaeologist unearths a piece of wood that is determined to

Chemistry
1 answer:
masha68 [24]2 years ago
7 0

The age of the ancient piece of wood that she located given the data is 1482 years

How to determine the number of half-lives

Original amount (N₀) = 100%

Amount remaining (N) = 83%

Number of half-lives (n) =?

2ⁿ = N₀ / N

2ⁿ = 100 / 83

2ⁿ = 1.2

Take the Log of both side

Log 2ⁿ = Log 1.2

nLog 2 = Log 1.2

Divide both side by Log 2

n = Log 1.2 / Log 2

n = 0.26

How to determine the age

Number of half-lives (n) = 0.26

Half-life (t½) = 5700 years

Time (t) =?

t = n × t½

t = 0.26 × 5700

t = 1482 years

Learn more about half life:

brainly.com/question/26374513

#SPJ1

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After the solution reaches equilibrium, what concentration of Ni2+(aq) remains? The value of Kf for Ni(NH3)62+ is 2.0×108. Expre
Marina CMI [18]

Answer:

\large \boxed{1.77 \times 10^{-5}\text{ mol/L}}

Explanation:

Assume that you have mixed 135 mL of 0.0147 mol·L⁻¹ NiCl₂ with 190 mL of 0.250 mol·L⁻¹ NH₃.

1. Moles of Ni²⁺

n = \text{135 mL} \times \dfrac{\text{0.0147 mmol}}{\text{1 mL}} = \text{1.984 mmol}

2. Moles of NH₃

n = \text{190 mL} \times \dfrac{\text{0.250 mmol}}{\text{1 mL}} = \text{47.50 mmol}

3. Initial concentrations after mixing

(a) Total volume

V = 135 mL + 190 mL = 325 mL

(b) [Ni²⁺]

c = \dfrac{\text{1.984 mmol}}{\text{325 mL}} = 6.106 \times 10^{-3}\text{ mol/L}

(c) [NH₃]

c = \dfrac{\text{47.50 mmol}}{\text{325 mL}} = \text{0.1462 mol/L}

3. Equilibrium concentration of Ni²⁺

The reaction will reach the same equilibrium whether it approaches from the right or left.

Assume the reaction goes to completion.

                        Ni²⁺             +             6NH₃       ⇌       Ni(NH₃)₆²⁺

I/mol·L⁻¹:    6.106×10⁻³                     0.1462                       0

C/mol·L⁻¹:  -6.106×10⁻³         0.1462-6×6.106×10⁻³             0

E/mol·L⁻¹:           0                              0.1095                6.106×10⁻³

Then we approach equilibrium from the right.

                            Ni²⁺   +   6NH₃       ⇌       Ni(NH₃)₆²⁺

I/mol·L⁻¹:              0           0.1095                6.106×10⁻³

C/mol·L⁻¹:            +x            +6x                           -x

E/mol·L⁻¹:             x         0.1095+6x            6.106×10⁻³-x

K_{\text{f}} = \dfrac{\text{[Ni(NH$_{3}$)$_{6}^{2+}$]}}{\text{[Ni$^{2+}$]}\text{[NH$_{3}$]}^{6}} = 2.0 \times 10^{8}

Kf is large, so x ≪ 6.106×10⁻³. Then

K_{\text{f}} = \dfrac{\text{[Ni(NH$_{3}$)$_{6}^{2+}$]}}{\text{[Ni$^{2+}$]}\text{[NH$_{3}$]}^{6}} = 2.0 \times 10^{8}\\\\\dfrac{6.106 \times 10^{-3}}{x\times 0.1095^{6}} = 2.0 \times 10^{8}\\\\6.106 \times 10^{-3} = 2.0 \times 10^{8}\times 0.1095^{6}x= 345.1x\\x= \dfrac{6.106 \times 10^{-3}}{345.1} = 1.77 \times 10^{-5}\\\\\text{The concentration of Ni$^{2+}$ at equilibrium is $\large \boxed{\mathbf{1.77 \times 10^{-5}}\textbf{ mol/L}}$}

 

3 0
3 years ago
How many electrons occupy p orbitals in a bismuth atom?
Ahat [919]
Atomic number Bi = 83 
electron configuration Bi : 1s2 2s2 2p6 3s2 3p6 4s2 3d10 4p6 5s2 4d10 5p6 6s2 4f14 5d10 6p3 

p orbitals = 3p6, 4p6, 5p6 and 6p3 
so, 6 + 6 + 6 + 3 = 21 electrons
4 0
4 years ago
At 25°C, 100 g of water will be saturated with 35.7 g of NaCl. Which word below describes the solution of 1.55 mol of NaCl disso
erica [24]
1) The saturation point at 25°C is 35.7 g of NaCl / 100 g of water => 35.7 %

Under normal circumstances water will not accept more salt than that.

2) The solution with 1.55 mol of NaCl dissolved in 250 mL of water =>

molar mass of NaCl = 22.99 g/mol + 35.45 g/mol = 58.44 g/mol

grams of NaCl = 1.55 mol * (molar mass of NaCl) = 1.55mol * 58.44 g/mol = 90.58 grams of NaCl


grams of water = 250 mL * 1 g/mL = 250 g/g.

Concentration of the solution:  [90.58 g NaCl / 250 g H2O] * 100 = 36.23 %

3) Conclusion: the solution has more salt than the saturation value. This means that the solution is supersaturated.

Supersaturation is a special condition, which is unstable, but that is not part of the questions.

The answer is supersaturated, 
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4 years ago
Who developed the first scientific atomic theory?
Annette [7]

Answer:

John Dalton

Explanation:

John Dalton (1766-1844) is the scientist credited for proposing the atomic theory. This theory explains several concepts that are relevant in the observable world.

7 0
2 years ago
What is the pressure exerted by 0.500 mold sample of nitrogen in a 10.0 L container at 20 degrees Celsius
Rudik [331]
I feel like I know this but I just can't answer it, sorry
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