For each spectroscopy scenario below, the value that corresponds to a greater proportion of light absorbed by a sample is a higher molar extinction coefficient and a longer path length.What is spectroscopy. Spectroscopy is a scientific process of examining the interaction of matter and light.
It involves radiated electromagnetic radiation from the matter in a sample, with a wavelength and frequency spectrum that is analyzed. The frequencies in this spectrum relate to the energy that the sample absorbs and re-emits.In general, the amount of light absorbed by a sample depends on the molar extinction coefficient and the path length.
The proportion of light absorbed is directly proportional to the concentration of the sample, which indicates that there is a greater likelihood that more of the light will be absorbed if the molar extinction coefficient is higher and the path length is longer. Therefore, a higher molar extinction coefficient and a longer path length correspond to a greater proportion of light absorbed by a sample.
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choose the best is the volume of water on earth?2,551,000 cubic miles of water9832,500,000 cubic miles of water170 miles860 miles
The volume of water on Earth is estimated to be approximately 332,500,000 cubic miles, considering all forms of water including oceans, lakes, rivers, groundwater, ice caps, glaciers, and atmospheric water vapor.
The Earth's total volume of water is estimated to be around 332,500,000 cubic miles. This value takes into account all forms of water present on the planet, including water bodies such as oceans, seas, lakes, and rivers, as well as groundwater, ice caps, glaciers, and atmospheric water vapor.Out of the options provided, 2,551,000 cubic miles, 9,832,500,000 cubic miles, 170 miles, and 860 miles are not accurate representations of the Earth's water volume.
It's important to note that water is a finite resource, and its availability and distribution play crucial roles in sustaining life on Earth. However, it is also essential to manage and conserve water resources to ensure their sustainable use for future generations.
The most accurate representation of the Earth's water volume is approximately 332,500,000 cubic miles.
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what are the correct coefficients if the law of conservation of mass is applied to the decomposition of solid ammonium nitrite to nitrogen gas and liquid water?
The correct equations for the breakdown of solid ammonium nitrite to nitrogen gas and liquid water under the law of conservation of mass would be 1 mol of solid ammonium nitrite to 1 mol of nitrogen gas and 1 mol of liquid water.
Since matter cannot be generated or destroyed, according to the rule of conservation of mass, the total mass of the reactants and products in a chemical process must remain constant. The balanced chemical equation for the breakdown of solid ammonium nitrite is:
NH4NO2(s) N2(g) + H2O (l)
The coefficients in this equation stand for the ratio of moles of each reactant and product. According to the factors 1, 1, and 1, 1 mol of nitrogen gas and 1 mol of liquid water are created for every 1 mol of solid ammonium nitrite that is broken down. As required by the rule of conservation of mass, this indicates that the combined mass of the reactants and products remains constant.
Ammonium nitrite ,\($\mathrm{NH} 4 \mathrm{NO}$\), will decompose to yield nitrogen gas and water Vapor by the following equation:
\(\mathrm{NH}_4 \mathrm{NO}_2(s) \rightarrow 2 \mathrm{H}_2 \mathrm{O}(\mathrm{g})+\mathrm{N}_2(g)\)
What is a decomposition reaction?
A decomposition reaction can be defined as a chemical reaction in which one reactant breaks down into two or more products.
Ammonium nitrite, \($\mathrm{NH} 4 \mathrm{NO} 2$\), will decompose to yield nitrogen gas and water Vapor by the following equation:
\(\mathrm{NH}_4 \mathrm{NO}_2(s) \rightarrow 2 \mathrm{H}_2 \mathrm{O}(g)+\mathrm{N}_2(g)$$\)
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If one-eighth of the mass of the original smple of a radioisotope remains unchanged after 4,800 years, the isotope could be? Show all work and explanation.
A. H-3
B. K-42
C. Sr-90
D. Ra-226
Based on the half-life of the material, the isotope is radium-226; option D
What is the half-life of a substance?The half-life of a substance is the time taken for half of the amount of material present in the original sample of the material to decay.
The half-life of materials differs from each other. The half-life may be in millions of years for some materials, whereas for some materials, the half-life could only be in seconds.
The half-life of materials is constant.
Considering the given material;
One-eighth of the mass of the original sample of the radioisotope remains unchanged after 4,800 years.
For one-eight of the material of the isotope to remain, the number of half-lives it has undergone will be;
after one half-life = half of the original sample remains
after two half-lives = one-fourth of the original sample remains
after three half-lives = one-eight of the original sample remains
The half-life of the isotope = 4800/3
The half-life of the isotope = 1600 years
Radium-226 has a half-life of 1600 yers
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a different tank of gas contains 2.0 mol of oxygen gas (o2) and 2.0 mol of hydrogen gas (h2) at a total pressure of 8.0 atm at 450 k. again, the two gases undergo a complete reaction to form water vapor (h2o gas). what will be the total pressure in atm of the gases in the tank at 450 k after the reaction is complete? (note that not all of both reactant gases will be used up in this reaction.)
The total pressure in the atm of the gases in the tank at the 450 k after the reaction is complete is 2 atm.
The chemical equation is as :
H₂ + 0.5 O₂ ----> H₂O
The 1 mole of the H₂ = 0.5 mole of the O₂
2 mole of the H₂ = 0.5 × 2 mole of the O₂
Mole of the O₂ = 1 mol
The ideal gas equation is as :
P₁ / n₁ = P₂ / n₂
P₂ = P₁ n₂ / n₁
Where,
The pressure, P₁ = 8 atm
The moles n₂ = 1 mol
The moles, n₁ = 4 mol
The pressure, P₂ = ?
P₂ = ( 8 × 1 ) / 4
P₂ = 2 atm
The pressure in of the gases in the tank at the temperature 450 k after the reaction is complete is the 2 atm.
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when is o(n2) considered a costly algorithm? is there a less costly alternative?
O(n^2) is considered a costly algorithm when the size of the input (n) is large, as the number of operations required to solve the problem increases exponentially with the size of the input.
In an O(n^2) algorithm, each operation takes roughly n steps, and the total number of operations grows as n^2. As a result, when n is large, the algorithm takes a long time to complete and may even become impractical to use.
There are alternative algorithms that are less costly than O(n^2) for large inputs. For example, O(nlogn) algorithms, such as the QuickSort or MergeSort algorithms, are more efficient for large inputs, as the number of operations grows logarithmically with the size of the input. Another alternative is O(n) algorithms, where the number of operations grows linearly with the size of the input. These algorithms are considered the most efficient and are preferred for large inputs.
In summary, O(n^2) is considered a costly algorithm for large inputs, and there are alternative algorithms, such as O(nlogn) and O(n), that are more efficient for solving problems with large inputs. The choice of algorithm depends on the specific problem and the size of the input, and it's essential to understand the trade-off between the efficiency of the algorithm and the complexity of the solution.
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Balance Na + SO3 = Na2SO3
select the statements that correctly describe the half-life of radioisotopes. select all that apply. multiple select question. a. radioisotopes used in medicine have relatively short half-lives.
b. if the half-life and amount of sample are known, the pressure and temperature are still needed to calculate the decay of the sample.
c. increasing the temperature of a radioisotope increases the rate of nuclear decay.
d. many naturally occurring radioisotopes have long half-lives.
The correct statements about the half-life of radioisotopes are:
a. Radioisotopes used in medicine have relatively short half-lives.
d. Many naturally occurring radioisotopes have long half-lives.
a. Radioisotopes used in medicine often have short half-lives because they need to decay and become less radioactive within a reasonable time frame. This allows for safer handling and reduces the duration of radiation exposure to patients.
b. The half-life of a radioisotope is a characteristic property and does not depend on pressure or temperature. The decay rate is determined solely by the nature of the radioisotope itself, so the pressure and temperature are not required to calculate the decay of the sample.
c. Increasing the temperature of a radioisotope does not affect the rate of nuclear decay. The decay process is governed by nuclear interactions and is not influenced by temperature changes.
d. Many naturally occurring radioisotopes have long half-lives, which means they decay at a slower rate. This is why they can be found in significant quantities in natural sources such as rocks, minerals, and the environment.
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Un compuesto tiene la siguiente composición en tanto por cien: 19,3% de Na, y 26,9% de S y 53,8% de O. Su peso molecular es 238.Calcula la fórmula molecular
Answer:
\(NaSO_{4}\)
Explanation:
Asúmase que existen 100 gramos de compuesto, las cantidades molares de cada componente son, respectivamente: (Let assume that exist 100 grams of the composite, the molar quantities of each component are, respectively:)
Na
\(n = \frac{19.3\,g}{22.99\,\frac{g}{mole} }\)
\(n = 0.839\,moles\)
S
\(n = \frac{26.9\,g}{32.065\,\frac{g}{mole} }\)
\(n = 0.839\,moles\)
O
\(n = \frac{53.8\,g}{15.999\,\frac{g}{mole} }\)
\(n = 3.363\,moles\)
La fórmula molecular empírica es (The empirical molecular formula is):
\((Na_{0.839}S_{0.839}O_{3.363})_{1.192}\)
\(NaSO_{4}\)
Which of the statement about binding energy is true?
A© The binding energy of a nucleus with A = 144 is more than the binding energy of a nucleus with A = 56.
BO The binding energy per nucleon of a nucleus with A = 144 is more than the binding energy per nucleon of a nucleus with A = 56.
CO The binding energy of the nucleus of Nitrogen isotope Z= 7 and A=14 is about 10 eV.
D. All nuclei have the same binding energy per nucleon
The correct statement about binding energy is: (B) The binding energy per nucleon of a nucleus with A = 144 is more than the binding energy per nucleon of a nucleus with A = 56.
Binding energy refers to the energy required to disassemble the nucleus into its individual nucleons (protons and neutrons). The binding energy per nucleon is a measure of the stability of the nucleus. A higher binding energy per nucleon indicates greater stability.
In general, as the mass number (A) of a nucleus increases, the binding energy per nucleon also increases up to a certain point. This is because the strong nuclear force, which holds the nucleus together, becomes more effective in binding the nucleons as the number of nucleons increases. Thus, larger nuclei tend to have higher binding energy per nucleon.
Therefore, option B is the correct statement, stating that the binding energy per nucleon of a nucleus with A = 144 is more than the binding energy per nucleon of a nucleus with A = 56.
Option A is incorrect because it compares the total binding energy of nuclei with different mass numbers, which does not necessarily reflect the stability.
Option C is incorrect because it states a specific binding energy value for a Nitrogen isotope, which may not be accurate.
Option D is incorrect because nuclei have different binding energies per nucleon, as explained above.
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monomer of nucleic acids made up of a 5-carbon sugar, a phosphate group, and a nitrogenous base is called
A 5-carbon sugar, a phosphate group, and a nitrogenous base make form a nucleic acid monomer known as An Nucleotide
A nucleotide is the initial building step of nucleic acids (RNA and DNA). A sugar molecule (either ribose in RNA or deoxyribose in DNA), a phosphate group, and a base containing nitrogen make up a nucleotide. DNA uses the nucleotides adenine (A), cytosine (C), guanine (G), and thymine (T).
Biopolymers and macromolecules called nucleic acids are necessary for all known forms of life. They are constructed of monomers called nucleotides, which are composed of a nitrogenous base, a phosphate group, and a 5-carbon sugar.
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What is one way to prevent soil erosion?
A. Plant trees
B. Plow fields
C. Spray weed killer.
D. Remove mulch.
its a plant trees
(need character limit)
Describe what happens to the light ray when it travels through air then into water
Answer:
when light travels into the water from the air, it slows down (because water is a more dense substance) which causes it to change direction and makes it seem to bend. this is called refraction. mediums that are more dense have a higher refraction index. for example, air has a ri of 1, but water is about 1.33.
i need help i have to wrote a song about energy transformations for science if you can help that would be awesome
A sample of gas occupies 1.2 L at 12.0oC. Assuming pressure remains the same, what would be the volume (in L) of this gas at 67oC?
A.
1.4
B.
1.0
C.
0.2
D.
5.0
E.
6.7
Explain in five sentence how a decrease in pressure affects the system below at equilibrium 2NO2(g)=N2O4(g)
Answer:
See the answer below
Explanation:
A decrease in pressure would see a shift in the equilibrium to the left-hand side of the equation.
According to a particular chemical principle, a system in equilibrium that has one of the constraints affecting reactions applied or removed would experience a change in the equilibrium position so as to annul the effects of the application/removal of the constraint.
In this case, 2 moles of NO2 is present on the left-hand side as opposed to 1 mole of N2O4 on the right-hand side. A decrease in pressure will create more space for the formation of NO2 on the left-hand side. Thus, the equilibrium will shift a bit to this side so as to annul the effects of the decrease in pressure.
Carbon and silicon are located in group 14 (4A) on the periodic table. How are carbon and silicon different?
A Carbon has an atomic mass of 6, and silicon has an atomic mass of 14.
B Carbon has 2 shells of electrons, and silicon has 3 shells of electrons.
C Carbon has 12 electrons, and silicon has 28 electrons.
D Carbon has 14 protons, and silicon has 28 protons.
Carbon and silicon are located in group 14 (4A) on the periodic table but are different in that Carbon have 2 shells of electrons, and silicon has 3 shells of electrons.
The correct option is B.
What are periods and groups in the Periodic Table?The Periodic Table is a table that arranges the elements in the order of increasing atomic number.
The Periodic Table is divided into Periods and Groups.
The periods in the periodic table are the horizontal rows found in the periodic table. Elements in the same period have the same number of electron shells.
The groups in the periodic table are the vertical colums> Elements in the same group have the same number of outermost electrons.
Carbon and silicon belong to the same group but different periods in the periodic table.
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A certain electrochemical cell has for its cell reaction: zn + hgo → zno + hg which is the half-reaction occurring at the anode?
The half-reaction occurring at the anode of an electrochemical cell is the one that is reduced. In this case, the half-reaction is: Zn + HgO → ZnO + Hg. Since the zinc is being reduced to zinc oxide in this reaction, it is the anode reaction.
In an electrochemical cell, the reaction that occurs at the electrode where electrons are being transferred is called the half-reaction. The half-reaction that occurs at the electrode where electrons are being transferred from the solution to the electrode is called the cathode reaction, and the half-reaction that occurs at the electrode where electrons are being transferred to the solution is called the anode reaction. Zn + HgO → ZnO + Hg
The zinc is being reduced to zinc oxide, which means that it is losing electrons. Therefore, the zinc is the cathode of the cell, where the electrons are being transferred from the zinc to the solution. The half-reaction that occurs at the anode of the cell is the one that is oxidized, which means that it is gaining electrons.
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An umbrella i placed in a drink holding a volume of punch equal to 7ML. The height of the punch roe to 10 ML. If the ma of the umbrella wa 27G, what wa it denity?
An umbrella is placed in a drink holding a volume of punch equal to 7 mL. The height of the punch rose to 10 mL. If the mass of the umbrella was 27 g, the Density of the umbrella is 9 g/mL.
Given that :
The mass of the umbrella = 27 g
The volume of the umbrella :
= height of the punch rose - volume of the punch
= 10 mL - 7 mL
= 3 mL
The density of the umbrella is give as :
Density = mass / volume
Density = 27 g / 3 mL
Density = 9 g/mL
Thus, the density of the umbrella is 9 g/mL.
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6. Choose a pair of words to make the statement correct. Energy transfers from
substances to ___substances.
A. cold to hot
B. hot to cold
C. hot to hot
D. cold to cold
Answer:
B. hot to cold
Explanation:
Energy wants to reach thermal equilibrium (which is basically just balanced temperature) so it will move from hot to cold to make the cold object warmer and the hot object cooler.
Which of the following is a balanced equation for the reaction described below?
Aqueous copper (II) chloride reacts with solid aluminum to produce aqueous aluminum chloride and solid copper.
A) CuCl2(aq) + Al(s) = AlCl3(aq) + Cu(s)
B) 3Cu2 Cl(aq) + Al(s) = AlCl3(aq) + 6Cu(s)
C) CuCl(aq) + Al(s) = AlCl(aq) + Cu(s)
D) 3CuCl2(aq) + 2Al(s) = 2AlCl3(aq) + 3Cu(s)
The balanced equation for the reaction is
3CuCl₂(aq) + 2Al(s) = 2AlCl₃(aq) + 3Cu(s). The correct option is - D) 3CuCl2(aq) + 2Al(s) = 2AlCl3(aq) + 3Cu(s)
From the question,
We are to determine which of the given equation for the described reaction is balanced.
The described reaction is the reaction between aqueous copper (II) chloride and solid aluminum to produce aqueous aluminum chloride and solid copper.
That is,
CuCl₂(aq) + Al(s) = AlCl₃(aq) + Cu(s)
Now, we will balance the above equation, using the smallest whole number coefficients
The balanced equation for the reaction is
3CuCl₂(aq) + 2Al(s) = 2AlCl₃(aq) + 3Cu(s)
Hence, the balanced equation for the reaction is
3CuCl₂(aq) + 2Al(s) = 2AlCl₃(aq) + 3Cu(s). The correct option is - D) 3CuCl2(aq) + 2Al(s) = 2AlCl3(aq) + 3Cu(s)
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What volume of 1.60 M hydrochloric acid solution (HCI) is required to neutralize 48.0 mL of 0.200 M sodium
hydroxide solution (NaOH)?
Answer:
Volume of HCl require = 6 mL
Explanation:
Given data:
Volume of HCl require = ?
Molarity of HCl solution = 1.60 M
Volume of NaOH = 48.0 mL
Molarity of NaOH = 0.200 M
Solution:
Formula:
M₁V₁ = M₂V₂
By putting values,
1.60 M×V₁ = 0.200 M×48.0 mL
V₁ = 0.200 M×48.0 mL/1.60 M
V₁ = 9.6 M .mL /1.60 M
V₁ = 6 mL
A solution is saturated in CO2 gas and KNO3 at room temperature. What happens when the solution is warmed to 75°C?
solid KNO, precipitates out of the solution
gaseous CO2 bubbles out of the solution
solid KNO, precipitates out and gaseous CO2 bubbles out
nothing happens; both CO2 and KNO3 remain in solution
Answer:
gaseous CO2 bubbles out of the solution
Explanation:
We already know that the dissolution of a gas in water is exothermic. Hence, when the temperature of a solution containing a gas is increased, the solubility of the gas decreases and the gas bubbles out of the solution.
Similarly, the dissolution of KNO3 in water is endothermic. This implies that the solubility of the solid increases with increasing temperature.
Thus the solid becomes more soluble at 75°.
When the solution is warmed to 75°C ; ( B ) gaseous CO₂ bubbles out of the solution
When a solution is saturated with CO₂ ( gas ) and KNO₃ ( s ) has its temperature increased above the room temperature to about 75°C the solubility of the gas CO₂ will decrease, because the solubility of gas in a solution decreases with an increase in temperature while the solubility of a solid increases with increase in temperature.
Since the solubility of the gas decreases the gas will escape as bubbles ( CO₂ bubbles ).
Hence we can conclude that When the solution is warmed to 75°C ; ( B ) gaseous CO₂ bubbles out of the solution.
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Where does most regular lightning occur?
A. The stratosphere
B. The troposphere
C. The Mesosophere
Answer:
the troposphere because we are living in atmosphere when the atmosphere next troposphere the sudden flashes of light and discharge resulting atmosphere condition sound waves of trambeling
thank you
Select the options that are properties of electromagnetic waves:
Answer:
They propagate in materialistic media and non-materialistic media ( space ) .
They propagate in the space at constant velocity , which is 3 × 108 m/s .
They consist of vibrating electric and magnetic fields at certain frequency in phase with each other , perpendicular to each other and perpendicular to the direction of the wave propagation ...
Explanation:
welcome!
The properties of electromagnetic waves are the electromagnetic waves are propagated by oscillating electric fields and magnetic field oscillation at right angles to each other, These waves travel with speed 3×108ms−1 in vacuum. Therefore, option A and B are correct.
What are electromagnetic waves ?The term electromagnetic waves or EM waves are defined as the waves that are produced as a result of vibrations between an electric field and a magnetic field. In other words, EM waves are made up of oscillating magnetic and electric fields.
They are created in different processes and are detected in different ways, but they are not basically different. Radio waves, gamma-rays, visible light, and all the other parts of the electromagnetic spectrum are electromagnetic radiation.
Thus, option A and B are correct.
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Your question is incomplete, most probably your question was
Select the options that are properties of electromagnetic waves:
A. Electromagnetic waves are propagated by oscillating electric fields and magnetic field oscillation at right angles to each other.
B. These waves travel with speed 3×108ms−1 in vacuum.
C. They are deflected by electric or magnetic field.
D. They can not show interference or diffraction.
The Bohr model accounted for most of the general characteristics of the atom. However, the modern model based on quantum mechanics explains that, although the energy of each orbital is fixed, the orbital radius is actually an average distance. The result is a "cloud" where the electron would most probably be located. When electrons are excited to different energy levels, the average radii from the nucleus also changes. Rank the following electron energy states according to the average distance of the electron from the nucleus.
The ranking based on the principle will be:
Ground State (n = 1)
First Excited State (n = 2)
Second Excited State (n = 3)
Higher Excited States (n > 3)
To rank the following electron energy, according to the modern model of quantum mechanics states according to the average distance of the electron from the nucleus, we need to consider the principle known as the Aufbau principle, which states that electrons fill orbitals in order of increasing energy.
Ground State (n = 1): The ground state corresponds to the lowest energy level in an atom. In this state, the electron occupies the innermost orbital (1s), which is closest to the nucleus. First Excited State (n = 2): The first excited state corresponds to the next higher energy level. In this state, the electron can occupy orbitals such as 2s or 2p. Second Excited State (n = 3): The second excited state corresponds to an even higher energy level. In this state, the electron can occupy orbitals such as 3s, 3p, or 3d. Higher Excited States (n > 3): As the energy level increases beyond the second excited state (n > 3), the average distance of the electron from the nucleus continues to increase.To know more about modern model:
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does baking soda make cake rise
Answer: Yes it can help make cake rise.
Explanation: Its a leavening agent and its a good ingredient for baking.
what is the concentration of a solution made by mixing 22.0 g of salt with 200 ml or water Assume that the volume of the water does not change when the salt is added.
To find the concentration of the solution, we need to calculate the amount of salt in moles per liter of solution (mol/L).
First, we need to convert the mass of salt to moles using its molar mass. The molar mass of salt (NaCl) is 58.44 g/mol.
Number of moles of salt = 22.0 g / 58.44 g/mol = 0.376 mol
Next, we need to calculate the volume of the solution in liters. We are given that 200 mL of water is used, which is 0.2 L.
Volume of solution = 0.2 L
Finally, we can calculate the concentration of the solution using the formula:
Concentration (in mol/L) = amount of solute (in mol) / volume of solution (in L)
Concentration = 0.376 mol / 0.2 L = 1.88 mol/L
Therefore, the concentration of the solution made by mixing 22.0 g of salt with 200 mL of water is 1.88 mol/L.
What is a solution?
In chemistry, a solution is a homogeneous mixture of two or more substances, which may be in the same or different phases. The substance present in the largest amount is called the solvent, while the other substances present are called solutes. Solutions can exist in any state of matter, including gases, liquids, and solids. Solutions are characterized by their concentration, which is the amount of solute present in a given amount of solvent or solution. Solutions can be prepared by dissolving solutes in solvents, and the resulting solutions can have a wide range of properties depending on the nature of the solute and solvent.To know more about solutions, click the link given below:
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Which of the following describes the element CT? Choose all that apply is one of the group of the least reactive elements D consists of diatomic molecules in elemental form Dbelongs to a group consisting entirely of gases reacts vigorously with alkali metals to form salts is very reactive as a metal O forms a basic solution in water
It is one of the group of the least reactive elements -describes the element CT
What is the name for reactive elements?
Alkali metals, halogens, and alkaline earth metals all have a high reactivity. Fluorine, the first member of the halogen group, is the element with the highest reactivity. The final alkali metal and most expensive element, francium, is the metal with the highest reactivity.
The least reactive elements are noble gases. They have eight valence electrons, which fill their outer energy level, and this explains why. Noble gases rarely interact with other elements to form compounds since this is the arrangement of electrons that is the most stable.
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2 Figure 3.1 shows two different forms of carbon, A and B.
A
B
Figure 3.1
a Name the two forms of carbon shown.
Answer:
show the pictures pls specify
The following equation shows the formation of water from hydrogen and oxygen.
2H2 + O2 → 2H2O
How many grams of water will form if 10.54 g H2 reacts with 95.10 g O2
Which reactant is the limiting reactant?
As per the given data, approximately 94.17 grams of water will form when 10.54 g of \(H_2\) reacts with 95.10 g of \(O_2\), and \(H_2\) is the limiting reactant.
To determine the limiting reactant, we need to compare the amounts of each reactant and their respective stoichiometric coefficients in the balanced equation.
Given:
Mass of \(H_2\) = 10.54 g
Mass of \(O_2\) = 95.10 g
First, we need to convert the masses of \(H_2\) and \(O_2\) to moles using their molar masses:
Molar mass of \(H_2\) = 2.016 g/mol
Molar mass of \(O_2\) = 31.9988 g/mol
Number of moles of \(H_2\) = 10.54 g / 2.016 g/mol ≈ 5.229 mol
Number of moles of \(O_2\) = 95.10 g / 31.9988 g/mol ≈ 2.972 mol
Now, let's compare the moles of \(H_2\) and \(O_2\) to their stoichiometric coefficients in the balanced equation:
\(2H_2 + O_2 --- > 2H_2O\)
From the balanced equation, we can see that the stoichiometric ratio is 2:1 for \(H_2\) to \(O_2\). This means that 2 moles of \(H_2\) react with 1 mole of \(O_2\) to produce 2 moles of \(H_2O\).
Based on the stoichiometric ratio, we can calculate the maximum amount of water that can be formed from the given amounts of H2 and O2.
The moles of water formed will be limited by the reactant that produces fewer moles of water. From the stoichiometry, we know that 2 moles of H2 react to produce 2 moles of H2O.
Number of moles of water that can be formed from H2 = 2.229 mol × (2 mol H2O / 2 mol H2) = 5.229 mol
Number of moles of water that can be formed from O2 = 2.972 mol × (2 mol H2O / 1 mol O2) = 5.944 mol
Since the number of moles of water that can be formed from H2 (5.229 mol) is less than the number of moles that can be formed from O2 (5.944 mol), H2 is the limiting reactant.
To find the mass of water formed, we need to multiply the number of moles of water by its molar mass:
Molar mass of H2O = 18.015 g/mol
Mass of water formed from H2 = 5.229 mol × 18.015 g/mol ≈ 94.17 g
Therefore, approximately 94.17 grams of water will form when 10.54 g of H2 reacts with 95.10 g of O2, and H2 is the limiting reactant.
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