Answer:
Answer and Explanation: To determine the number of moles of silver (Ag), we simply need to divide the number of atoms of Ag by the Avogadro's number, N , which is equal to 6.02 10 atoms of Ag per mole of Ag. Therefore, c) 6.3 moles of Ag are present in a sample of 3.8 10 atoms Ag.
Nicole measures 25 g of sodium carbonate with 10 mL of vinegar and determines the total mass of the reactants and the beaker to be 100 g. After mixing the two reactants, she observes bubbling and a white residue. The total mass is now 98 g. Did the principle of the conservation of mass apply in this example? Explain your answer.
Based on the information provided, the principle of the conservation of mass did apply in this example.
The principle of the conservation of mass states that mass is neither created nor destroyed in a chemical reaction. In other words, the total mass of the reactants should be equal to the total mass of the products.
In the given scenario, Nicole measured 25 g of sodium carbonate and 10 mL of vinegar, which can be considered the reactants. The total mass of the reactants and the beaker was determined to be 100 g. After mixing the reactants, bubbling and a white residue were observed, and the total mass became 98 g.
To analyze the conservation of mass, we need to consider the mass of the products formed. The bubbling and white residue suggest a chemical reaction occurred, likely resulting in the formation of a gas and a solid product. Although the exact reaction and products are not specified, it is evident that some change took place.
The total mass decreasing from 100 g to 98 g indicates that the mass of the products is less than the mass of the reactants and the beaker. This might be due to the formation of a gas that escaped from the reaction mixture.
While the total mass decreased, it is important to note that mass was not created or destroyed. The lost mass in the form of the escaping gas can be accounted for if it is considered separately.
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pls help asap
complete the square too rewrite the following equation. Identify the centers and radius of the circle. You must show l work and calculations too receive full credit.
x2+2x+y2+4y=20
Given the equation `x² + 2x + y² + 4y = 20`, complete the square to rewrite it and identify the centers and radius of the circle. The answer to the question is
Completing the square:
[x^2 + 2x + y^2 + 4y = 20\]\[x^2 + 2x + 1 - 1 + y^2 + 4y + 4 - 4 = 20\]\[(x + 1)^2 + (y + 2)^2 = 25\]
This equation is in the standard form of a circle, that is:
[(x - h)^2 + (y - k)^2 = r^2\]
where `(h, k)` is the center of the circle and `r` is its radius.
The equation of the given circle is \[(x + 1)^2 + (y + 2)^2 = 5^2\].
Therefore, the center of the circle is `(-1, -2)` and its radius is `5`.
We are given the equation x² + 2x + y² + 4y = 20 and we need to complete the square to rewrite the equation and identify the center and radius of the circle. We know that the standard form of a circle is (x - h)² + (y - k)² = r².
To transform the equation into the standard form of the circle, we need to complete the square. We can complete the square by adding and subtracting (1 + 4) on the left-hand side of the equation, which is equal to adding and subtracting 5 (5 is half of the coefficient of y) on the right-hand side of the equation.
This gives us:(x² + 2x + 1) - 1 + (y² + 4y + 4) - 4 = 20 + 5 - 5(x + 1)² + (y + 2)² = 25
This simplifies to:(x + 1)² + (y + 2)² = 5², which is in the standard form of a circle.
Therefore, the center of the circle is (-1, -2) and its radius is 5.
In conclusion, we have found that the equation of the given circle is (x + 1)² + (y + 2)² = 5². We have also found that the center of the circle is (-1, -2) an;
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what is the chemical formula for the base cobalt(iii) hydroxide?
The chemical formula for cobalt(III) hydroxide is Co(OH)₃. In the chemical formula, Co represents the element cobalt, and OH represents the hydroxide ion.
The Co represents the element cobalt, and OH represents the hydroxide ion. The hydroxide ion (OH⁻) consists of one oxygen atom (O) bonded to one hydrogen atom (H), and it carries a negative charge.
In cobalt(III) hydroxide, the cobalt ion has a +3 charge (Co³⁺). Since the hydroxide ion carries a -1 charge, it takes three hydroxide ions to balance the charge of one cobalt(III) ion.
By combining the cobalt ion and the hydroxide ions in the appropriate ratio, we get Co(OH)₃ as the chemical formula for cobalt(III) hydroxide.
Roman numeral (III) in the name "cobalt(III) hydroxide" indicates the oxidation state of the cobalt ion, which is +3. Cobalt can form different ions with varying charges, and the oxidation state affects the chemical behavior of the element in compounds.
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what factors cause changes between the solid and liquid state
The factors that cause changes between the solid and liquid state are temperature and pressure.
The physical state of matter can be altered by changing the temperature and pressure. A solid is a state of matter in which molecules are tightly packed and cannot move freely. When heat energy is added to a solid, the molecules gain kinetic energy and begin to vibrate more vigorously, eventually causing them to break free from their rigid structure. This process is called melting, and it results in a change from a solid to a liquid state. The reverse process, from a liquid to a solid state, occurs when heat energy is removed from a liquid, causing the molecules to lose kinetic energy and become more organized.
In addition to temperature, pressure can also cause changes between solid and liquid states. As pressure increases, molecules become more tightly packed and move more slowly. This can cause a substance to change from a liquid to a solid state. The reverse process, from a solid to a liquid state, can occur when pressure is reduced.
Overall, temperature and pressure are the two primary factors that cause changes between the solid and liquid state of matter.
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what are the factors that determine how much chemical energy an object has?
The factors that determine how much chemical energy an object has include the object's mass, chemical composition, and the types of bonds that are present.
Chemical energy is one of the many different types of energy that exist, and it is the energy that is stored within an object's chemical bonds. Chemical energy has the potential to be released through a chemical reaction.
The factors that determine how much chemical energy an object has include the object's mass, chemical composition, and the types of bonds that are present.
The more mass an object has, the more chemical energy it will contain because there will be more bonds between the particles in the object's molecules.
The chemical composition of an object also plays a role in determining its chemical energy. For example, molecules that contain more carbon and hydrogen atoms will typically have more chemical energy than molecules that contain fewer carbon and hydrogen atoms.
Finally, the types of bonds that are present in an object also play a role in determining its chemical energy. Bonds that are stronger and more stable will contain more chemical energy than bonds that are weaker and less stable.
In conclusion, the amount of chemical energy an object contains depends on its mass, chemical composition, and the types of bonds that are present in it. The chemical energy is the potential energy that can be released through a chemical reaction.
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the term used to denote concentration of electrolytes in a given volume is
The term used to denote the concentration of electrolytes in a given volume is "molarity".
Molarity-
Molarity is the number of moles of solute dissolved in one liter of the solution. Molarity is the most widely used concentration metric in chemistry, and it is frequently denoted by "M." It denotes the amount of solute in moles per liter of solution.
A solution's molarity can be calculated using the following formula:
Molarity = moles of solute / liters of solution
Molarity is often used to express the concentration of a solution's electrolytes because electrolytes break into ions when dissolved in a solvent, allowing for electrical conductivity.
Molarity can be used in other applications, such as stoichiometry, which involves determining how much of one compound is required to react completely with another.
Molarity is a useful tool for solving problems that involve chemical reactions since the number of moles of a substance is frequently used to establish reaction ratios, limit reactants, and determine the theoretical yield.
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c.) the ionization energies corresponding to removal of the third, fourth, and fifth electrons are 4581 kj/mol, 7465 kj/mol, and 9391 kj/mol, respectively. explain why removal of each additional electron requires more energy than removal of previous one
The removal of each additional electron requires more energy than the removal of the previous one due to the increased attraction between the positively charged nucleus and the remaining negatively charged electrons.
The ionization energy is the energy required to remove an electron from an atom or ion. It is influenced by factors such as the atomic structure and electron configuration.
When an electron is removed from an atom, the ionization energy increases because the positive charge of the nucleus becomes stronger and holds the remaining electrons more tightly. This means that more energy is needed to overcome the increased attraction between the positively charged nucleus and the negatively charged electron.
In this case, the ionization energies for the removal of the third, fourth, and fifth electrons are given as 4581 kj/mol, 7465 kj/mol, and 9391 kj/mol, respectively.
The trend is that the ionization energies increase as we remove each additional electron. This is because as more electrons are removed, the positive charge of the nucleus becomes more pronounced and the remaining electrons are held even more tightly.T
As each additional electron is removed, more energy is required compared to the removal of the previous electron. This is because the positively charged nucleus exerts a stronger attraction on the remaining negatively charged electrons, making it harder to overcome the increased electrostatic force and remove subsequent electrons.
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Agar is a complex polysaccharide derived from a
Agar is a complex polysaccharide derived from a seaweed.
Agar is a jelly-like substance that is used to culture bacteria and other microbes in the laboratory. It is a non-nutrient material that is used to provide a surface for the bacteria to grow on.
Agar is also used as a gelling agent in foods such as jams and jellies, as well as in the preparation of solid media for microbiological applications.
The structure of agar is composed of repeating units of galactose and 3,6-anhydrogalactose, linked together by glycosidic bonds.
It is a linear polymer of approximately 150 kDa.
Agar is a hydrophilic molecule, meaning that it attracts water molecules, which contributes to its ability to form gels.
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what is the reducing agent in the following reaction 2na + 2H2O arrow 2NaOH + H2
A. Na
B. H
O
C. NaOH
D. H
The reducing agent in the following reaction 2Na + 2H₂O → 2NaOH + H₂ is Na. The correct answer is option A.
Oxidation-reduction reactions or redox reactions are chemical reactions that involve the transfer of electrons between two species. In such reactions, the reducing agent is the one that is oxidized, i.e., it loses electrons. On the other hand, the oxidizing agent is the one that is reduced, i.e., it gains electrons. The reducing agent reduces the oxidizing agent by donating electrons to it.
In this reaction, sodium (Na) is oxidized, and hence acts as the reducing agent. Na loses an electron and becomes positively charged Na+ ion, which then combines with hydroxide (OH-) ion to form sodium hydroxide (NaOH). The hydrogen ion (H+) produced by the dissociation of water is reduced to hydrogen gas (H₂) by accepting the electron donated by sodium.
Thus, the reducing agent in the reaction 2Na + 2H₂O → 2NaOH + H₂ is Na. The correct answer is option A.
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what mass would occupied by 120 mole of argon gas at stp
Answer:
mass=8,640g
Explanation:
[tex]n = \frac{mass}{molar \: mass} [/tex]
where
mole(n)= 120mol
Molar mass = Ar2
= 36×2
= 72g/mol.
Mass = ?
Therefore mass =
[tex]120 = \frac{m}{72} . \\ 120 \times 72 = m \\ 8640g = m[/tex]
8. Which of the following solutions contains the most solute particles per liter? (a) 1 M KBr; (b) 1 M Mg(NO3)2; (c) 4 M ethanol; (d) 4 M acetic acid
The solution that contains the most solute particles per liter is 1 M Mg(NO₃)₂. The correct answer is option (b).
The solute particles in a solution can be ions or molecules. The number of solute particles per unit of volume is a measure of concentration and is expressed in mol/L or M. In the given options, 1 M KBr, 1 M Mg(NO₃)₂, 4 M ethanol, and 4 M acetic acid are given.
The concentration of the solutions can be calculated using the formula:
Molarity (M) = Number of moles of solute / Volume of solution in liters
The number of solute particles per unit of volume is directly proportional to molarity. The solution with the highest molarity will have the most solute particles per liter.
Therefore, the solution that contains the most solute particles per liter is 1 M Mg(NO₃)₂. The number of solute particles per liter of 1 M Mg(NO₃)₂ will be 3 times greater than 1 M KBr, and 2 times greater than 4 M ethanol or 4 M acetic acid.
Thus, the solution that contains the most solute particles per liter is 1 M Mg(NO₃)₂. The correct answer is option (b).
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The normal boiling point for the substance in the phase diagram below is approximately Pressure (mm) 14 150 SO 100 Temperature (°C) O 0°C 65°C 35°C O 150°C O -50°C
The normal boiling point for the substance in the given phase diagram is about 65°C.
The phase diagram is a graphical representation of the relationship between temperature and pressure of a substance under conditions of constant pressure. It represents how a substance changes from solid, liquid, and gas phases under varying conditions of pressure and temperature.
From the given phase diagram, we can see that the normal boiling point for the substance is approximately 65°C. The normal boiling point is the temperature at which a substance boils at standard pressure of 1 atm. At this temperature, the vapor pressure of the substance is equal to the atmospheric pressure of 1 atm.
Hence, we can conclude that the normal boiling point for the given substance is approximately 65°C based on the phase diagram provided.
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how many h+ ions can the acid h3po4 donate per molecule?
The acid H3PO4 can donate three hydrogen ions (H+) per molecule.
Thus, the number of H+ ions that the acid H3PO4 can donate per molecule is 3.Explanation:H3PO4 is also known as phosphoric acid. Phosphoric acid is an inorganic mineral acid that is commonly used in fertilizers, detergents, and food additives.
The chemical formula of H3PO4 is H3PO4 which implies that it has three hydrogen ions that are attached to the phosphate anion.Each hydrogen ion, which is donated by H3PO4, has the ability to donate a single positive hydrogen ion or proton (H+).
Therefore, since H3PO4 has three hydrogen ions, it has the ability to donate three H+ ions per molecule (per H3PO4 molecule).
In other words, one molecule of H3PO4 can donate three hydrogen ions.
Therefore, the number of H+ ions that the acid H3PO4 can donate per molecule is 3.
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earning current is applied to an aqueous solution of lithium sulfide. What is produced at the anode? What is produced at the cathode? O o2(g) O s(s) o Lis O Li(s) Hz(g) O O2(g) O s(s) O H2(g) Map
When an electrical current is applied to an aqueous solution of lithium sulfide, hydrogen gas will be produced at the cathode and sulfur will be produced at the anode.
At the cathode, positively charged hydrogen ions (H+) gain electrons and are reduced to hydrogen gas (H2).2H+ + 2e- → H2
At the anode, negatively charged sulfide ions (S2-) lose electrons and are oxidized to form elemental sulfur (S).
S2- → S + 2e-
It's worth noting that lithium ions (Li+) will also be present in the solution but they will not be produced at either the anode or cathode.
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Identify which of the following gases have variable concentration in the atmosphere.
-Carbon Dioxide
-Methane
-Ozone
-Water Vapor
Water vapor is the gas that has a variable concentration in the atmosphere. Its concentration can vary greatly depending on factors such as temperature, humidity, and weather patterns.
Water vapor is constantly being added to the atmosphere through evaporation from bodies of water and transpiration from plants. It can also condense into clouds and precipitation, leading to fluctuations in its concentration in different regions and over time. On the other hand, carbon dioxide, methane, and ozone are considered trace gases and their concentrations in the atmosphere are relatively stable, with variations mainly due to human activities and natural processes.
The gases that have variable concentrations in the atmosphere are:
- Carbon Dioxide (CO2): The concentration of carbon dioxide in the atmosphere can vary due to natural processes such as photosynthesis and respiration, as well as human activities like the burning of fossil fuels. Changes in land use, deforestation, and industrial processes can contribute to fluctuations in carbon dioxide levels.
- Methane (CH4): Methane concentrations in the atmosphere can vary as a result of both natural and anthropogenic sources. Natural sources include wetlands, termites, and natural gas seepage, while human activities such as livestock farming, rice cultivation, and fossil fuel extraction contribute to increased methane emissions.
- Ozone (O3): Ozone concentrations in the atmosphere can vary regionally and temporally. While ozone is naturally present in the stratosphere, where it plays a crucial role in protecting the Earth from harmful UV radiation, ground-level ozone is formed through chemical reactions involving pollutants emitted by human activities, including vehicle emissions and industrial processes.
- Water Vapor (H2O): Water vapor is highly variable in the atmosphere and its concentration can vary significantly depending on the location, temperature, and weather conditions. It is influenced by factors such as evaporation from bodies of water, transpiration from plants, and atmospheric dynamics. Water vapor is a key component of the Earth's climate system and plays a crucial role in weather patterns.
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A C4 plant is so named because oxaloacetate has _____ carbons.
C4 plants are named so because they utilize a four-carbon molecule, oxaloacetate, as their first carbon molecule. C4 plants are special types of plants that have evolved to use a highly efficient carbon fixation pathway in order to maintain their photosynthetic rates in hot, arid environments where water is scarce.
C4 plants have specific adaptations that enable them to thrive in such environments. For example, they have thick waxy leaves to reduce water loss, and they use PEP carboxylase to fix CO2 into a four-carbon molecule that is then transported to bundle sheath cells for further processing in a specialized process.
Additionally, C4 plants have a unique arrangement of photosynthetic cells that minimizes photorespiration and allows them to maintain high photosynthetic rates at higher temperatures and under drought conditions. These plants are commonly found in hot, dry climates and are typically grasses, but include some crops such as corn, sugar cane, and sorghum.
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describe the main difference between inorganic chemistry and organic chemistry
Organic Chemistry is the study of covalent compounds of Carbon and Hydrogen (Hydrocarbon) and their derivatives.
Inorganic Chemistry is the study of all elements and their compounds expect those of compounds of Carbon and Hydrogen (Hydrocarbon) and their derivatives.
what color would a bromothymol blue solution be at ph=9 ?
Bromothymol blue is a pH-indicator that changes color depending on the acidity or alkalinity of a solution, At pH 9, the bromothymol blue solution would appear blue-green in color.
Bromothymol blue is typically yellow in acidic solutions with a pH below 6. At neutral pH (around 7), it transitions to a green color. As the pH increases, bromothymol blue turns blue and then blue-green as it reaches alkaline conditions.
At pH 9, which is slightly alkaline, the bromothymol blue solution would exhibit a blue-green color. This color transition occurs due to the change in the ionization state of the indicator molecule as the pH changes.
The blue-green color indicates that the solution is more alkaline than neutral but not strongly basic.
It's important to note that the color change of bromothymol blue can vary slightly depending on factors such as concentration, temperature, and specific experimental conditions.
Additionally, precise color interpretation is best done by comparing the observed color with a standard color chart or known pH values.
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Determine the pH of the resulting solution when the following two solutions are mixed: 20.0 mL of 0.20 M HC2H2O2 and 20.0 mL of 0.10 M NaOH. The value of Ka for HC2H2O2 is 1.8 x 10-5.
The pH of the resulting solution when 20.0 mL of 0.20 M HC₂H₂O₂and 20.0 mL of 0.10 M NaOH are mixed is 3.07.
Neutralization is a chemical reaction in which acid and base react to form salt and water. Hydrogen (H⁺) ions and hydroxide (OH⁻ ions) react with each other to form water.
The strong acid and strong base neutralization have a pH value of 7.
The balanced equation for the reaction is:
HC₂H₂O₂ + NaOH → NaC₂H₃O₂ + H₂O
Moles of HC₂H₂O₂= concentration × volume = 0.20 M × 0.020 L = 0.004 mol
Moles of NaOH = concentration × volume = 0.10 M × 0.020 L = 0.002 mol
Since HC₂H₂O₂ is a weak acid, it will partially dissociate in water according to the equation:
HC₂H₂O₂ ⇌ H⁺ + C₂H₂O₂⁻
Initial:
HC₂H₂O₂: 0.004 M
H⁺: 0 M
C₂H₂O₂⁻: 0 M
Change:
HC₂H₂O₂: -x M
H⁺: +x M
C₂H₂O₂⁻: +x M
Equilibrium:
HC₂H₂O₂: 0.004 - x M
H⁺: x M
C₂H₂O₂⁻: x M
Ka = [H⁺][ C₂H₂O₂⁻] / [HC₂H₂O₂]
1.8 x 10⁻⁵ = x × x / (0.004 - x)
Since x is small compared to 0.004, so 0.004 - x = 0.004:
1.8 x 10⁻⁵= x² / 0.004
x² = 1.8 x 10⁻⁵ × 0.004
x² = 7.2 x 10⁻⁸
x = 8.49 x 10⁻⁴ M = [H⁺]
pH = -log( 8.49 x 10⁻⁴)
pH = 3.07
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what instrument is used to measure the average kinetic energy in a substance?
A thermometer is an instrument used to measure the average kinetic energy in a substance.
The average kinetic energy of particles in a substance is directly related to its temperature. The higher the temperature, the greater the average kinetic energy of the particles, and vice versa. Thermometers are designed to measure this average kinetic energy and provide a numerical value known as temperature.
Most thermometers operate based on the principle of thermal expansion. They use a temperature-sensitive material, such as mercury or alcohol, enclosed in a narrow, sealed tube. As the temperature changes, the substance inside the tube expands or contracts, causing the level of the substance to rise or fall.
A common example is a mercury-in-glass thermometer. It consists of a glass tube with a small bulb at the bottom filled with mercury. As the temperature increases, the thermal energy causes the mercury to expand, and it rises the tube.
So, a thermometer is used to measure the average kinetic energy in a substance by detecting and quantifying its temperature.
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how many electrons does neon have in its outer shell
Neon (Ne) has 8 electrons in its outer shell. Neon belongs to the noble gases group on the periodic table, specifically Group 18 or Group 8A.
The noble gases have full outer electron shells, which makes them stable and unreactive. In the case of neon, its electronic configuration is 1s² 2s² 2p⁶, with 2 electrons in the 2s subshell and 6 electrons in the 2p subshell. Since the outermost shell is the 2p subshell, neon has a total of 8 electrons in its outer shell.The chemical elements are arranged in rows and columns on the periodic table, also known as the periodic table of the elements. It is frequently used in physics and other sciences as a chemistry organizing symbol.
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which of the following elements would you expect to form diatomic molecules?
a. sulphur
b. argon
c. helium
d. hydrogen
The element that is expected to form diatomic molecules is d. hydrogen (H).
Diatomic molecules are molecules composed of two atoms of the same element bonded together. They are stable configurations for certain elements under normal conditions. Hydrogen is a diatomic element, meaning it naturally exists as H, with two hydrogen atoms bonded together.
On the other hand, the other options do not typically form diatomic molecules under normal conditions.
- Sulphur (S) is an element that exists as S8, forming octatomic molecules made up of eight sulphur atoms bonded together.
- Argon (Ar) is a noble gas and exists as single atoms. Noble gases are generally non-reactive and do not form diatomic molecules.
- Helium (He) is also a noble gas and exists as single atoms. Like other noble gases, helium does not readily form diatomic molecules.
Therefore, among the given options, hydrogen (H) is the element that is expected to form diatomic molecules.
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what is the mass of 12.82 moles of lithium (li) atoms?
The mass of 12.82 moles of lithium (Li) atoms is 88.89 g.
The molar mass of Lithium (Li) is 6.94 g/mol. Therefore, the mass of 12.82 moles of lithium (Li) atoms can be calculated as follows:
The number of moles of lithium (Li) = 12.82 mol
Molar mass of Lithium (Li) = 6.94 g/mol
We know that the mass of one mole of an element is equal to its atomic or molecular mass in grams.Therefore, the mass of 1 mole of Li atoms is equal to its molar mass which is 6.94 g/mol.
Then the mass of 12.82 moles of Li atoms can be found using mole to mass conversion as follows:
Mass = Number of moles × Molar mass
= 12.82 mol × 6.94 g/mol
= 88.89 g.
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What is the common name of the following compound? CH3CH2OCH3
The common name of the following compound CH₃CH₂OCH₃ is ethyl methyl ether.
Ethyl methyl ether, commonly known as ethyl methyl ether, is a colorless, flammable gas with a mild odor. It is an ether composed of two carbon atoms in a row (ethane), an oxygen atom connected to one of them, and a methyl (CH₃) group linked to the other.
The chemical formula for ethyl methyl ether is CH₃CH₂OCH₃. The IUPAC name for ethyl methyl ether is ethoxyethane, but it is more often referred to by its common name. It is used in a variety of industrial and laboratory applications, such as as a solvent for cellulose, resins, and oils, as well as a refrigerant and a local anesthetic.
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what is the role of oxygen in energy yielding pathways
Oxygen plays a crucial role in energy-yielding pathways by serving as the final electron acceptor in the electron transport chain (ETC) during cellular respiration.
Oxygen is the most important factor in energy-yielding pathways. The oxygen molecule is the final acceptor of electrons in cellular respiration, which is the process of energy production in cells. When electrons are passed down the electron transport chain, they lose energy, which is then used to pump hydrogen ions (protons) out of the mitochondrial matrix. This creates a concentration gradient of hydrogen ions, which then flow back into the matrix through ATP synthase.
The flow of hydrogen ions back into the matrix releases energy that is used to produce ATP from ADP and inorganic phosphate. Oxygen, as the final electron acceptor, is essential for this process because it helps to maintain the electron transport chain by accepting the electrons at the end of the process and allowing the cycle to continue. In summary, oxygen's role in energy-yielding pathways is crucial for the production of ATP, the main source of energy for cellular processes.
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Calculate the concentration of all species in a 0.140 M solution of H2CO3.
The species are H2CO3,HCO3-, CO3^2-, H30,OH.
Can anyone help show me how to solve this? There are a couple up already, but they are not correct. Please help me out.
The concentration of the species in a 0.140 M solution of H₂CO₃ is given by:
[H₂CO₃] = 0.140 M, [HCO₃⁻] = 1.45×10^−7 M, [CO₃²⁻] = 1.45×10^−10 M, [H₃O⁺] = 4.5×10^−4 M, [OH⁻] = 2.2×10^−11 M.
Carbonic acid is a diprotic acid, which means that it has two acid dissociation constants. The first step is for the acid to donate a proton to form bicarbonate, and the second step is for the acid to donate another proton to form carbonate. H₂CO₃(aq) + H₂O(l) ⇌ H₃O⁺(aq) + HCO₃⁻(aq) Ka₁ = 4.3×10−7
HCO₃⁻(aq) + H₂O(l) ⇌ H₃O⁺(aq) + CO₃²⁻(aq) Ka₂ = 4.7×10−11
The formula for the concentrations of the species present in the solution is as follows:
[H₂CO₃] = 0.140 M
[HCO₃⁻] = Ka₁
[H₂CO₃]/[H₃O⁺] = 1.45×10^−7 M
[CO₃²⁻] = Ka₂[HCO₃⁻]/[H₃O⁺]
= 1.45×10^−10 M
[H₃O⁺] = Ka₁[H₂CO₃]/[HCO₃⁻]
= 4.5×10^−4 M
[OH⁻] = Kw/[H₃O⁺] = 2.2×10^−11 M, where Kw is the ion product constant for water.
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