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erastovalidia [21]
3 years ago
12

Archaeologists can determine the age of artifacts made of wood or bone by measuring the amount of the radioactive isotope 14C pr

esent in the object. The amount of isotope decreases in a first-order process. If 18.7% of the original amount of 14C is present in a wooden tool at the time of analysis, what is the age of the tool? The half-life of 14C is 5,730 yr. Give your answer in scientific notation.
Chemistry
1 answer:
Debora [2.8K]3 years ago
4 0

Answer:

1.386x10^4 years.

Explanation:

The half-life is the time needed to reduce in 50% the mass of the sample. So, imagine compound A, after its first half-life, it will have 0.5A. After its second half-life, will have 50% of the 0.5A! So, the mass will be 0.25A. So, the percentage of A, is given by:

A = (0.5)^n

Where n is the quantitative of half-life. So, for 18.7% of C, or 0.187:

0.187 = (0.5)^n

Applying log in both side of the equation:

log(0.187) = log(0.5)^n

nlog(0.5) = log(0.187)

-0.301n = -0.728

n = 2.419 half-life

If one half-life is 5,730 yr, than 2.419 will be:

2.419x5730 = 13,860.870 yr

1.386x10^4 years.

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The value of Zeff for a valence electron in an atom of silicon is?
lutik1710 [3]

Zeff is the effective nuclear charge wherein, Z resembles the number of protons in the nucleus while S corresponds to the number of non-valence electrons.

Zeff = Z - S

Silicon has 14 protons; its electron configuration is [Ne] 3s2 3p2. Its non-valence electrons is in the n = 1 and n =2 shells. There are 2 electrons in n = 1 and 8 in n = 2, so there are a total of 10 non-valence electron.

<span><span>Z<span>eff</span></span>= 14−10= 4</span>

So, the answer is 4.
6 0
3 years ago
The water in a pressure cooker boils at a temperature greater than 100°C because it is under pressure. At this higher temperatur
vazorg [7]

Answer:

the activation energy Ea = 179.176 kJ/mol

it will take  7.0245 mins for the same food to cook in an open pot of boiling water at an altitude of 10000 feet.

Explanation:

From the given information

T_1 = 100^0 C = 100+273 = 373 \ K \\ \\  T_2 = 113^0 C = 113 + 273 = 386 \ K

R_1 = \dfrac{1}{7}

R_2 = \dfrac{1}{49}

Thus; \dfrac{R_2}{R_1} = 7

Because at 113.0°C; the rate is 7 time higher than at 100°C

Hence:

In (7) = \dfrac{Ea}{8.314}( \dfrac{1}{373}- \dfrac{1}{386})

1.9459 = \dfrac{Ea}{8.314}* 9.0292  *10^{-5}

1.9459*8.314 = Ea * 9.0292*10^{-5}

16.1782126= Ea * 9.0292*10^{-5}

Ea = \dfrac{16.1782126}{ 9.0292*10^{-5}}

Ea = 179.176 kJ/mol

Thus; the activation energy Ea = 179.176 kJ/mol

b)

here;

T_2 = 386 \  K  \\ \\T_1 = (89.8 + 273)K = 362.8 \ K

In(\dfrac{R_2}{R_1})= \dfrac{Ea}{R}(\dfrac{1}{T_1}- \dfrac{1}{T_2})

In(\dfrac{R_2}{R_1})= \dfrac{179.176}{8.314}(\dfrac{1}{362.8}- \dfrac{1}{386})

In (\dfrac{R_2}{R_1}) = 0.00357

\dfrac{R_2}{R_1}= e^{0.00357}

\dfrac{R_2}{R_1}= 1.0035

where ;

R_2 = \dfrac{1}7{}

R_1 = \dfrac{1}{t}

Now;

\dfrac{t}{7}= 1.0035

t = 7.0245 mins

Therefore; it will take  7.0245 mins for the same food to cook in an open pot of boiling water at an altitude of 10000 feet.

4 0
3 years ago
Where can you find a polar ice biome that contains pack ice and no soil?
ycow [4]

Answer:

APEX answer North Pole

Explanation:

6 0
3 years ago
Read 2 more answers
23. The number of protons in the nucleus of an atom is its...
almond37 [142]

The number of proton in the nucleus of an atom is its Atomic Number.

5 0
3 years ago
Solid a is a very hard electrical insulator in solid as well as in molten state and melts at extremely high temperature. What ty
devlian [24]

This is covalent network type of solid.

For example, silicon dioxide (SiO₂) is covalent network solid with covalent bonding.

Covalent network solid is a chemical compound (or element) in which the atoms are bonded by covalent bonds in a continuous network extending throughout the material.

Silicon(IV) oxide has continuous three-dimensional network of SiO₂ units and diamond has sp3 hybridization.

This solids do not have free electrons so they are good insulators.

They have strong covalent bonds, so they melt at extremely high temperature.

Other examples are quartz, diamond, and silicon carbide.

More about network solid: brainly.com/question/15548648

#SPJ4

5 0
1 year ago
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