The percent abundance of the cannellini beans in this sample is : 18.8 %
The average weighted = 1.9 g
M1 = mass of black eyed peas = 1.3
M2 = mass of cannellini = 2.9
x = % abundance
weighted average is given = 1.9 g
applying the formula :
M1x + M2 (1-x) = average weighted
1.3 × x + 2.9 (1-x) = 1.9
x = 0.812
% abundance of black eyed peas = 81.2 %
% abundance of cannellini beans = (1-0.812) = 0.188 = 18.8 %
Thus, The percent abundance of the cannellini beans in this sample is : 18.8 %
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what is the phase triangle in chemistry
A ternary phase diagram shows the phases of a ternary system. These phases are usually represented by triangular diagrams. The vertices of the triangle represent the three pure components, and the distance from the vertices is a measure of their cardinality.
A phase diagram is a graphical representation of the different stages of a substance or mixture of substances that coexist in thermodynamic equilibrium and undergo phase changes under different operating conditions such as temperature pressure and volume.
The diagram is divided into three regions representing the solid-liquid and gaseous states of matter. The best way to remember the regions that correspond to each of these states is to remember the temperature and pressure conditions most relevant to solids liquids and gases. A phase diagram shows the temperatures and pressures at which different phases of matter solids liquids and gases can exist.
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The synthesis of sodium chloride according to the reaction: ___ Na + ___ Cl2 → ___ NaCl.a. What volume of chlorine gas at STP is necessary for the complete reaction of 4.85 grams of sodium metal.
Answer:
[tex]2.36\text{ L }[/tex]Explanation:
Here, we want to know the volume of chlorine gas necessary to complete the reaction
We can start by writing a balanced equation of reaction as follows:
[tex]2Na\text{ + Cl}_2\text{ }\rightarrow2NaCl[/tex]From the balanced equation, we can see that 1 mole of chlorine gas requires 2 moles of sodium metal
Now, let us get the number of moles of sodium metal that actually reacted
We have that as the mass of sodium metal divided by the atomic mass
The atomic mass of sodium metal is 23 amu
Thus, we have the number of moles as:
[tex]\frac{4.85}{23}\text{ = 0.211 mole}[/tex]Since the mole ratio is 2 to 1, half of this number of moles is needed by the chlorine gas
Mathematically, 1 mole of a gas occupies a volume of 22.4 L at STP
the volume occupied by the calculated number of moles will be:
[tex]\frac{0.211}{2}\times\text{ 22.4 = 2.36 L }[/tex]Two different samples, A and B, of zinc oxide were obtained from different sources. When heated in a stream of hydrogen, they were reduced to yield the following results: sample A mass of sample 10.0g mass of zinc residue 8.11g sample B mass of sample 13.2g mass of zinc residue 10.70g. Show that the figures illustrate the law of constant composition
-ZnO is the compound illustrated by the law of constant composition.
According to the rule of constant proportion, the elements are always present in certain amounts to one another by mass in chemical compounds. For instance, regardless of how or where water is obtained, it always contains H2O, hydrogen, and oxygen in a mass ratio of 1:8, according to an example.
for sample A
mass Zn = 8.11g
mass of O =10-8.11=1.89g
Zn= 8.11/65 = 0.1
O= 1.89/16 =0.1
ratio is 1:1
compound = ZnO
for sample b
Zn= 10.70g
O= 13.2-10.7=2.5g
Zn= 10.70/65 =1
O= 2.5/16 =0.16=1
ratio = 1:1
compound= -ZnO
Therefore, it is shown that the figures illustrate the law of constant composition.
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What is the volume of 58.9 grams of oxygen gas (O2) at STP?
Answer
41.2 L
Explanation
Given that:
The mass of oxygen gas (O₂) = 58.9 grams
What to find:
The volume of 58.9 grams of oxygen gas (O₂) at STP.
Step-by-step solution:
The first step is to convert 58.9 grams of oxygen gas (O₂) given to moles using the mole formula:
[tex]Moles=\frac{Mass}{Molar\text{ }mass}[/tex]The molar mass of oxygen gas (O₂) is 31.998 g/mol.
[tex]Moles\text{ }of\text{ }O_2=\frac{58.9g}{31.998g\text{/}mol}=1.8407\text{ }mol[/tex]The final step is to convert the 1.8407 moles of oxygen gas (O₂) to volume using the conversion factor below.
Conversion factor: The molar volume of any gas at STP is 22.4 L. That is, one mole of any gas has a volume of 22.4 L or 22,400 mL.
So,
[tex]\begin{gathered} 1\text{ }mol\text{ }O_2=22.4\text{ }L \\ \\ 1.8407\text{ }mol\text{ }O_2=x \\ \\ x=\frac{1.8407\text{ }mol}{1\text{ }mol}\times22.4\text{ }L \\ \\ x=41.2\text{ }L \end{gathered}[/tex]PLEASE HELP ASAP.
What conditions are being experienced
by an observer in Florida when the moon
is at Position 2?
Answer:
the conditions are that when the moon is at point 2 is that the moon is covering Florida so that means that part of the earth is dark whilst others is light
Explanation:
Lidocaine, a widely used local anesthetic, it’s available as a 0.5% (w/v) Solution for injection. Calculate the mass of lidocaine and 6.0 mL of the solution. Be sure your answer has a unit symbol and is rounded to the correct number of significant digits.
• We are given that Lidocaine is available as 0.5%(w/v) , 0.5%(w/v) represents the amount of Lidocaine in grams per 100mL. so, 0.5% is the same as 0.5g of Lidocaine in 100ml.
,• Since our solution has a volume of 6.0mL:
mass of Lidocaine = 6mL * (0.5g /100mL)
= 0.03g of Lidocaine in 6.0mLsolution.
This means that, in 6.0ml of this injection solution, we have 0.03g of Lidocaine .
What are the strengths, weaknesses, and implications of risk/benefit analysis as a method for deciding whether a technology should be employed?
A risk-benefit analysis compares the risks and benefits of a situation and determines whether the advantages outweigh the disadvantages.
What is Risk-benefit analysis in technology?Strengths
Risk-benefit analysis calculates the amount of time will be worth it to the production of technology and whether the technology will have a healthy impact on the industry or not.
Weaknesses
Risk-benefit analysis cannon determine product implementation and the outcomes of real life experiences of individual customers. It has some drawbacks like benefits of customer is take under consideration but pollution in nature is not calculated.
Implication
Risk-benefit analysis is implied in almost all technical industry as it the decision maker of any developing team to work on a particular project or not. Some examples are automobile industry and smartphone industry.
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Uranium-238 is an unstable nuclide that emits an alpha particle, three neutrons, and
gamma particles. A = 231 and Z = 90. What daughter nuclide is formed from this
reaction?
OA) Ra
232U2a + 2x + 3 n + Y
-
B) Pu
C) Th
D) Fr
Uranium-238 is an unstable nuclide that emits an alpha particle, three neutrons, and
gamma particles and produces a daughter nuclide Thorium.
The atomic mass of alpha particle is 4g and atomic number 2. Since an alpha particle emits, so there is reduction in the atomic mass 4 and atomic number 2.
The atomic number of neutron is 0 and the atomic mass of neutron is 1. When three neutrons emit the atomic mass reduces to 3 while atomic number remains same.
Gamma particles have no mass and charge. So, atomic number and atomic mass remains same.
Total reduction in atomic mass : 238 - 4 - 3 = 231.
Total reduction in atomic number = 92- 2 = 90
Therefore, the daughter nuclide is Thorium.
Thus, we concluded that the Uranium-238 is an unstable nuclide that emits an alpha particle, three neutrons, and gamma particles and produces a daughter nuclide Thorium.
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Investigating Energy Systems
Posible Subclaims:
The Hand-Crank Generator System does have energy.
or
The Hand-Crank Generator System does not have energy.
Evidence
(observations about whether the system does or does not have energy)
This matters because . . .
(How does this evidence support the subclaim?)
Therefore, . . .
(subclaim)
Answer:
Investigating Energy Systems
Posible Subclaims:
The Hand-Crank Generator System does have energy.
or
The Hand-Crank Generator System does not have energy.
Evidence
The mass of acetic acid in a 2.00 mL sample of vinegar (density of the vinegar is 0.996 g/mL) is determined to be 0.101 g. What is the mass % of acetic acid in the vinegar using 1 decimal place in your final answer?
The percentage of mass of 0.101g in 2.093g of vinegar comes out to be 4.8%. Mass percentage does not have any unit as numerator and denominator contains the same unit.
What is percentage by mass?Mass percentage represents the the percentage of each element that is making a particular compound.
mass of vinegar solution =density of vinegar solution× volume of vinegar solution
=0.996 g/mL×2.00 mL
=1.992g
Percentage of mass=(mass of acetic acid ÷ total mass of solution) x 100%
=[0.101÷(0.101+1.992)]×100
=0.048×100
=4.8%
Thus the mass percentage of acetic acid is 4.8%
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How many moles of water will be produced if 3.50 moles of hydrogen react completely?___H2(g) + ___O2(g) ___H2O (l)
ANSWER
Moles of water is 3.50 moles
EXPLANATION
Given that:
The mole of hydrogen gas is 3.50 moles
Firstly, write a balanced equation for the reaction
[tex]\text{ 2H}_{2(g)}+\text{ O}_{2(g)}\rightarrow\text{ 2H}_{2_}O[/tex]In the reaction, 2 moles of hydrogen will give you 2 moles of H2O
Since the number of moles of hydrogen given id 3.5 moles, then the number of moles of water.
A major component of gasoline is octane C8H18. When liquid octane is burned in air it reacts with oxygen O2 gas to produce carbon dioxide gas and water vapor. Calculate the moles of carbon dioxide produced by the reaction of 0.900mol of octane. Be sure your answer has a unit symbol, if necessary, and round it to 3 significant digits.
When 0.900mol of octane is burned in air it reacts with oxygen Oxygen gas to produce carbon dioxide gas and water vapor, then 7.20mole of carbon dioxide is produced.
What is combustion reaction?
Combustion reaction is a reaction in which a substance, basically hydrocarbons burns in presence of oxygen to produce carbon dioxide and water.
The balanced reaction is
[tex]2C_{8} H_{18}+25O_{2} \rightarrow16CO_{2} +18H_{2}O[/tex]
The mole ratio of octane to carbon dioxide is 2:16 that is 1:8
2 mole of octane produce =16 mole of carbon dioxide
1 mole of octane produce = 8 mole of carbon dioxide
0.900mol of octane produce= 8× 0.900
= 7.20mole
Thus the mole of carbon dioxide produced is 7.20mole.
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Draw a flow sheet to show how you would separate the components of a mixture containing an acid substance, toluic acid, a basic substance, p-bromo-aniline, and anthracene, a neutral substance.
In order to separate the mixture of toluic acid, p-bromo-aniline, and anthracene, the difference in their physical properties such as solubility in organic or inorganic solvents is utilized.
The flow chart for the separation method is found in the attachment.
What are mixtures?Mixtures are substances that consist of two or more substances that are physically combined together.
The physical properties of the components of the mixture are employed in the separation of the constituents of the mixture
In separating the given mixture, it is first dissolved in dichloromethane, and then dilute NaOH is added to separate the toluic acid in the aqueous phase. The toluic acid is then precipitated by adding HCl.
Dilute HCl is then added to the organic phase to separate p-bromo-aniline into an aqueous phase and then precipitated by adding 10% NaOH.
Anthracene is left in the organic phase.
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2. Using the periodic table above, which of the following molecules have a *
stable configuration that satisfies the octet rule for all atoms? (1 pt)
MgBr
MgO
SiO
KCI2
Using the periodic table, THE molecule that has a stable configuration that satisfies the octet rule for all atoms is option B: MgO
Does MgO obey octet rule?MgO (Magnesium Oxide) and (Magnesium Oxide) establish an ionic bond thanks to the electrostatic attraction that develops between them. A MgO molecule contains two atoms with stable octet arrangements.
Note that when we study the octet rule of the MGO Lewis structure. The octet rule is satisfied by the oxygen atoms and magnesium in the MgO Lewis structure. Since oxygen only requires two electrons, the condition transfers two electrons. Oxygen receives these two electrons from magnesium, a metal having two electrons in its valence shell.
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After an afternoon party, a small cooler full of ice is dumped onto the hot ground and melts. If the cooler contained 9.10 kg of ice and the temperature of the ground was 42.0 °C, calculate the energy that is required to melt all the ice at 0 °C. The heat of fusion for water is 80.0 cal/g
The heat energy that is required to melt all the ice at temperature of 0° C is 7.28x10^5 cal.
What is heat energy?
Heat energy is created by the movement of tiny atoms, molecules, or ions in solids, liquids, and gases. It is possible to transfer heat energy from one thing to another. Heat is a flow or transfer that happens when two objects have different temperatures from one another.
We know that the initial temperature of the ice (T) is 0° C
Latent heat of ice is given in the question as 80.0 cal/g
The mass of ice given in question is 9.10 kg
So, the heat required to change the phase of the ice is given as:
[tex]Q=mL[/tex]
[tex]Q =(9.10 \times 10^3)(80)[/tex]
[tex]Q = 728 \times 10^3[/tex]
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Hydrogen (H-1), deuterium (H-2), and tritium (H-3) are the three isotopes of hydrogen. What are the values of a,b, and c in the table?
Hydrogen (H-1), (H-2), and (H-3) are the three isotope of hydrogen. the values of a,b, and c in the table are: a=1 , b=1, c=2.
no. of proton no. of electron no. of neutron
H-1 1 1 0
H-2 a= 1 1 b= 1
H-2 1 1 c= 2
Isotope can be defined as the element having same no. of protons but different no. of neutrons. we can also defined as elements having same atomic number but different mass no. Hydrogen (H-1), (H-2), and (H-3) are the three isotopes of hydrogen. ¹H has only 1 proton and zero neutron having ,mass number 1. ²H has one proton and one neutron having mass no. 2. ³H has one proton and two neutron and having mass number 3.
Thus, Hydrogen (H-1), (H-2), and (H-3) are the three isotope of hydrogen. the values of a,b,and c in the table are: a=1,b=1,c=2.
no. of proton no. of electron no. of neutron
H-1 1 1 0
H-2 a = 1 1 b = 1
H-2 1 1 c = 2
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2Al + 3Cl₂ 2AlCl₃molar mass of AlCl3 => 133 g/molIf 25.0 moles of chlorine is used, how many grams of aluminum chloride can be produced?
Answer
Explanation
Given:
2Al + 3Cl₂ 2AlCl₃
Molar mass of AlCl3 => 133 g/mol
Moles of Cl₂ = 25.0 mol
What to find:
The grams of aluminum chloride that can be produced.
Step-by-step solution:
Step 1: Determine the mole of AlCl₃ produced.
From the given chemical equation for the reaction,
3 mol Cl₂ produce 2 mol AlCl₃
So 25.0 mol Cl₂ will produce
[tex]\frac{25.0mol\text{ }Cl_2\times2mol\text{ }AlCl₃}{3mol\text{ }Cl_2}=16.67mol\text{ }AlCl₃[/tex]16.67 moles of AlCl₃ produced.
Step 2: Calculated the grams of AlCl₃ produced.
Using the mole formula
[tex]undefined[/tex]balance the following chemical reaction equation: ___PH3 + ___O2 --> ___P4O10 + ____H2O
Answer:
4 PH₃ + 8 O₂ -----> P₄O₁₀ + 6 H₂O
Explanation:
An equation is balanced when there is an equal amount of each element on both sides of a chemical reaction. Remember, the reactants are the molecules that lie on the left of the reaction arrow and the products are the molecules that lie on the right.
The unbalanced equation:
PH₃ + O₂ -----> P₄O₁₀ + H₂O
Reactants: 1 phosphorus, 3 hydrogen, 2 oxygen
Products: 4 phosphorus, 2 hydrogen, 11 oxygen
As you can see, there is an unequal amount of each element. To balance the equation, we can add coefficients to change the quantity of particular molecules. By doing this, you subsequently change the amount of the elements.
The balanced equation:
4 PH₃ + 8 O₂ -----> P₄O₁₀ + 6 H₂O
Reactants: 4 phosphorus, 12 hydrogen, 16 oxygen
Products: 4 phosphorus, 12 hydrogen, 16 oxygen
****P₄O₁₀ technically has a coefficient of 1
The Lewis dot model of a molecule is shown.
H
c=o
H
Based on the model, which of the following is true? (5 points)
O a
Ob
Oc
d
Oxygen is the least electronegative of the three atoms.
Carbon has a total of four bonded pairs of electrons around it.
Oxygen has four pairs of non-bonding Innermost shell electrons.
Carbon has an incomplete octet as it transfers an electron to each hydrogen.
Time left for this
Answer:
b.Carbon has a total of four bonded pairs of electrons around it.
The Lewis dot model of a molecule is shown.
H
c=o
H
Based on the model, which of the following is true? (5 points)
O a
Ob
Oc
d
Oxygen is the least electronegative of the three atoms.
Carbon has a total of four bonded pairs of electrons around it.
Oxygen has four pairs of non-bonding Innermost shell electrons.
Carbon has an incomplete octet as it transfers an electron to each hydrogen.
Time left for this
The Lewis dot model of a molecule is shown as -
H \ C = : O : / HOn the basis of this model, the statement which is true is Carbon has a total of four bonded pairs of electrons around it.
Formaldehyde, HCHO has two hydrogen atoms, one carbon atom and one oxygen atom. Oxygen and carbon has double bond between them. Carbon atom is located at the center in the lewis dot structure. Valence electrons in the outer shell of carbon is four. Four electrons of carbon are bonded as it is bonded with two hydrogen atoms and one oxygen atom and oxygen and carbon atom has double bond between them.
Therefore, Carbon has total of four bonded pairs of electrons around it. Hence, this statement is true.
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H-C=C-H. How many pairs of shared electrons between two carbon atoms and _________ pairs of shared electrons between the carbon and hydrogen atoms
In acetylene (H-C=C-H) three pairs of electrons are shared between two atoms of carbon forming a triple bond, while a single pair of electrons is shared between a carbon atom and a hydrogen atom.
What is electron?With a negative one elementary charge electric charge, the electron is a subatomic particle. Given that they have no known components or substructure and are a member of the first generation of lepton particles, electrons are typically regarded as elementary particles.
Approximately 1/1836th of a proton's mass is that of an electron. An intrinsic half-integer value angular momentum (spin) with units of the reduced Planck constant,, is one of the electron's quantum mechanical properties.
The Pauli exclusion principle states that since electrons are fermions, they can never share the same quantum state. Electrons, like all elementary particles, have the ability to interact with other particles and behave like waves when they are diffracted, similar to how light does.
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Thorium emits a beta particle is it a chemichal or nuclear reaction
Answer:
It is a nuclear reaction as Thorium here undergoes beta decay which is nuclear reaction
Explanation:
Beta decay occurs when an unstable nucleus emits a beta particle and energy. A beta particle is either an electron or a positron. Positron can be considered as an anti-electron as it has a positive charge unlike electrons. When the beta particle is an electron, the decay is called beta-minus decay. When the beta particle is a positron, the decay is called beta-plus decay. Beta-minus decay occurs when a nucleus has too many neutrons relative to protons, and beta-plus decay occurs when a nucleus has too few neutrons relative to protons. Thorium undergoes beta minus decay and produces Actinium and an electron.
calculate the number of moles in 1.0 × 10^21 atoms
Answer:
0.0017 mole
Explanation:
1 mole = 6.02 x 10^23 atoms
so the number of mole in 1.0 × 10^21 atoms is
(1.0 × 10^21)/(6.02 x 10^23) = 0.00166112956 or 0.0017 mole
What is the mass of this piece of porcelain in oz?Show all work/use conversions/metric prefixes. I
The mass of the piece of porcelain is 27.3 oz.
1st) It is necessary to calculate the mass of the porcelain with the density formula:
[tex]\begin{gathered} \text{density}=\frac{mass}{\text{volume}} \\ 2.40g\mathrm{}mL^{-1}=\frac{mass}{325mL} \\ 2.40g.mL^{-1}\cdot325mL=\text{mass} \\ 780g=\text{mass} \end{gathered}[/tex]2nd) Now it is necessary to convert the gram unit to oz. Here we need to use the relation that 1 g is equal to 0.035 oz:
[tex]780g\text{.}\frac{0.035oz}{1g}=27.3oz[/tex]So, the mass of the piece of porcelain is 27.3 oz.
The planet Jupiter is composed mostly of hydrogen gas.To what temperature, in ºc, must a 20.2 g sample of hydrogen gas be heated to, at 140 kPa, tooccupy a volume of 224 L?
We are asked to find the temperature of hydrogen gas (H2) given certain pressure and temperature conditions. Since the pressure to which the gas will be subjected is low we can apply the ideal gas law which is represented by the following equation:
[tex]PV=nRT[/tex]Where,
P= Pressure = 140kPa = 1.38169 atm
V= Volumen = 224 L
R= Ideal gas constant = 0.08206 (atm L)/(mol K)
n= Number of moles
T= Temperature in K
Now we are going to find the number of moles of the gas, n. We will use the molar mass of the hydrogen gas (2.01594g/mol). So, we have:
[tex]n=\text{ }\frac{\text{Mass}}{Molar\text{ mass}}=\frac{20.2\text{ g}}{2.01594\text{ g/mol}}=10.02\text{ mol}[/tex]Now, we will clear the temperature T from the first equation:
[tex]T=\frac{PV}{nR}[/tex]We replace the known values:
[tex]\begin{gathered} T=\frac{1.38169atm\times224L}{10.02mol\times0.08206\frac{atm.L}{mol.K}} \\ T=376.40K \end{gathered}[/tex]So, the temperature of hydrogen gas will be 376.40K
Need help on how to create balanced equations17.1 g of magnesium metal burns in sulphur dioxide to for magnesium oxide and sulphur. Create a balanced equation for the reaction
For a chemical equation to be balanced, the total moles at the reactant must be equal to that of the product. According to the given question, the reactants are magnesium and sulphur dioxide.
• Magnesium = Mg
,• sulphur dioxide = SO₂
If they form magnesium oxide (MgO) and sulphur (S), these will be the product. The balanced chemical reaction is shown below:
[tex]2Mg+SO_2\rightarrow2MgO+S[/tex]This gives the balanced equation for the reaction
10) The chemistry lab has had a power cut and the electronic balance isn't working. You need to find the mass of a sample of zinc. You found
an old reference book and know that zine has a density of 7.14 g/mt. You found the volume of the sample using water displacement; 15.0
ml. of water was placed into a graduated cylinder, the zinc sample was added and the volume of the zinc with the water was 17.9 ml.
What is the mass of the zinc sample?
Atomic mass of zinc is 65. Simply dip one strip into the water for 3 seconds, remove it and shake once to remove excess water, wait 20 seconds for the color to develop, and compare it to the closest color match to determine your zinc concentration.
What is zinc in water?Water naturally contains zinc. In seawater, the average zinc concentration is 0.6-5 ppb. Zinc concentrations in rivers range between 5 and 10 ppb. Algae have 20-700 ppm, sea fish and shellfish have 3-25 ppm, oysters have 100-900 ppm, and lobsters have 7-50 ppm.Zinc has the chemical symbol Zn and the atomic number 30. At room temperature, zinc is a slightly brittle metal with a shiny-greyish appearance when oxidation is removed. It is the first element in periodic table group 12. Zinc is a trace mineral, which means that the body only requires trace amounts, but it is required by nearly 100 enzymes to carry out vital chemical reactions.To learn more about zinc, refer to:
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PLEASE HELP!! What is the WEIGHTED average atomic mass of this element?
An isotope with mass 185 amu is 19% abundant
An isotope with mass 180 amu is 81% abundant
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before European colonization, how did indigenous people protect themselves from catastrophic wilfires?
Before Europe colonized the Americas indigenous peoples used controlled burning to alter the landscape. Controlled fires were part of the environmental cycles and wildlife habitat protection that underpinned the cultures and economies of the Native American peoples.
Before European invasion tribes used controlled burning to remove shrubs that acted as craters returning nutrients to the soil preventing overcrowding and excessive competition for nutrients and water and maintaining healthy forests pastures. and cleared grasslands for wildlife such as water buffalo Prevent forest fires.
For many indigenous peoples fire was an essential part of life. Native Americans Alaskan Natives and Native Hawaiians used fire to clear land for crops and travel to cultivate land for certain plant and animal species to hunt game and for many other important purposes. used. Indigenous peoples were able to survive many natural disasters because they learned to move quickly when a disaster struck an area.
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The first-order rate constant for the decomposition of N2O5,
2N2O5(g)→4NO2(g)+O2(g)
at 70∘C is 6.82×10−3 s−1. Suppose we start with 2.50×10−2 mol of N2O5(g) in a volume of 1.6 L What is the half-life of N2O5 at 70 ∘C ?
The half-life of N₂O₅ at 70°C then it is 50s or 0.8min
Half life is the the interval of time required for one half of the atomic nuclei of a radioactive sample to decay
The first-order rate constant for the decomposition of N₂O₅ and reaction is
2N₂O₅(g) → 4NO₂(g)+O₂(g)
The half life is the time at which the concentration of N₂O₅ is the half initial concentration that is [ N₂O₅ ] = 1/2 [ N₂O₅ ]₀
Using this same equation then
ln ([N₂O₅]) = -2kt + ln ([N₂O₅]₀)
We replace [ N₂O₅ ] by 1/2[ N₂O₅ ]₀ and solve for t
ln (1/2 [N₂O₅]₀) = -2kt + ln ([N₂O₅]₀) applying logarithmic property
ln 1/2 + ln([N₂O₅]₀) = -2kt + ln ([N₂O₅]₀) solving for t and applying logarithmic property (ln 1/2 = ln 1 - ln 2 = 0 - ln 2 = - ln 2)
t = ln 2/2k
t = 50s or 0.8min
The half-life of N₂O₅ at 70°C then it is 50s or 0.8min
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