0.310 moles of [tex]Cl_{2}[/tex] are present in the container, according to the reaction. This is the answer to the given question.
What is Carbon tetrachloride?Carbon tetrachloride is a manufactured chemical that does not occur naturally. It is a clear liquid with a sweet smell that can be detected at low levels. It is also called carbon chloride, methane tetrachloride, perchloromethane, tetrachloroethane, or benziform. Carbon tetrachloride molecules have tetrahedral molecular geometries in which the central carbon atom is bonded to four chlorine atoms.
What effects does carbon tetrachloride have on people?The liver and kidneys are harmed by acute exposure to high quantities of carbon tetrachloride in drinking water. Headache, lightheadedness, fatigue, sluggishness, and impaired vision are further signs. Extremely high doses can also result in death, vomiting, or stomach pain.
Determination of number of moles:(0.4) (25) = (0.0821) (n) (120+273)
Moles of [tex]Cl_{2}[/tex],n = 0.310 mol
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What is the best way to maintain control of the subsection when cutting with a vertical or diagonal cutting line
Palm to palm is referred to as the best way to maintain control of the subsection when cutting with a vertical or diagonal cutting line thereby preventing the risk of injuries or inaccuracy.
What is Palm to palm technique?This method is used during cutting or styling and involves the two palms of the hands in a position such that they are facing each other or opposite to one another and helps to reduce the different types of strain in the affected part of the body.
This method isn't a compulsory one to be done but is best suited for an individual who wants to maintain control of the subsection when cutting with a vertical or diagonal cutting line.
This is therefore the main reason why palm-to palm technique was chosen as the most appropriate choice.
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A gas diffuses 1/8 times faster than hydrogen gas. what is the molar mass of the gas?
129.02 g/mol
136.44 g/mol
140.81 g/mol
145.45 g/mol
Answer:
129.02 g/mol.
Explanation:
We apply grahams law of diffusion:
1/8 = √2.016/√m where m = molar mass
√m = 8√2.016
m = (8√2.016) = 129.02 g/mol.
To a 25.00 mL volumetric flask, a lab technician adds a 0.225 g sample of a weak monoprotic acid, HA , and dilutes to the mark with distilled water. The technician then titrates this weak acid solution with 0.0849 M KOH . She reaches the endpoint after adding 42.35 mL of the KOH solution. Determine the number of moles of the weak acid in the solution.
The number of moles of the weak acid in the solution is 0.00359
Calculation:
1. The number of mole of KOH in the solution:
Given:
Molarity of KOH = 0.0849 M
Volume = 42.35 mL = 42.35 / 1000 = 0.04235 L
Mole of KOH = Mole = Molarity x Volume
= 0.0849 × 0.04235
= 0.00359 mole
2. The number of mole of a weak acid, HA:
Balanced equation:
HA + KOH → KA + H₂O
From the above equation, A mole of HA and a mole of KOH react together. Therefore,
0.00359 moles of HA will also react with 0.00359 moles of KOH.
0.00359 moles of base use = 1/1 x 0.00359 = 0.00359 moles of HA
Thus, there are 0.00359 moles of a weak acid in the solution.
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An increase in __________ will directly stimulate the peripheral chemoreceptors to increase ventilation.
An increase in pH will directly stimulate the peripheral chemoreceptors to increase ventilation.
Chemoreceptor can be stimulated by change in the chemical composition of their immediate environment .There are many types of chemoreceptor spread throughout the body which help to control different process including taste, smell and breathing. An increase in body temperature increases the rate from peripheral chemoreceptor neurons.
The chemoreceptor is also known as chemosensor. The chemoreceptor is a specialized sensory receptor which transduces a chemical substance ( endogenous or induced ) to generate a biological signal. The two types of chemoreceptor is peripheral and central.
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Sometimes it is hard to find evidence at the scene of a suspicious fire because the act of putting out a fire is destructive.
True, sometimes it is hard to find evidence at the scene of a suspicious fire because the act of putting out a fire is destructive.
Firefighters must handle the area as a medical emergency incident in addition to a fire scene. The victim should be treated as evidence and kept in tact.Why is it difficult to find evidence of arson?
All unintentional causes of a fire-related incident must be eliminated before it can be deemed arson; this requires strong evidence that the fire was started intentionally. Arson is challenging to establish and later prosecute for this reason.Why is fire investigation difficult?
For three key reasons, arson investigations are challenging: The arsonist can prepare the fire in advance and bring all the necessary equipment with them. There is no requirement that the arsonist be present while the act is committed. Evidence linking the arsonist to the crime is destroyed by the fire itself.Learn more about fire investigation
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If an object has a temperature of 0 kelvin, how much energy is the object emitting? what is the wavelength of light emission according to wien's law?
This law (expressed mathematically as E = σT4) states that each gadget with temperatures above absolute zero (0K or -273°C or -459°F) emits radiation at a charge proportional to the fourth energy in their absolute temperature.
Wien's displacement law states that the black body radiation curve for one-of-a-kind temperatures height at a wavelength is inversely proportional to temperature.
Wien's displacement law It states that the better the temperature, the lower the wavelength λmax for which the radiation curve reaches its most. The shift to shorter wavelengths corresponds to photons of better energies. In other phrases, λmax (height wavelength) is inversely proportional to temperature.
Wien's regulation, named after the German Physicist Wilhelm Wien, tells us that gadgets of different temperatures emit spectra that height at distinctive wavelengths. hotter objects emit radiations of shorter wavelengths and for this reason, they seem blue.
Wien's regulation tells us that gadgets of various temperatures emit spectra that top at specific wavelengths. hotter gadgets emit a maximum of their radiation at shorter wavelengths; subsequently, they will seem like bluer. Cooler gadgets emit most of their radiation at longer wavelengths; consequently, they'll appear redder.
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How does a conjugate acid differ from its conjugate base?
The conjugate acid is differ from its conjugate base as, conjugate acid is formed by strong base whereas conjugate base is formed by strong acid.
conjugate base is differ from conjugate acids by the presence of the proton. The conjugate acid is formed when proton is added to the bases whereas conjugate bases is formed when proton is released by the acids.
Example of corrugate acids are given below.
[tex]NH_{3}[/tex] → [tex]NH_{2} ^{-} +H^{+}[/tex]
In the above example [tex]NH_{2} ^{-}[/tex] is conjugate acids.
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Silver bromide is the photosensitive material in 35 mm photographic film. When monochromatic light falls on film, the photons are recorded if
they contain sufficient energy to react with silver bromide in the film. The minimum energy needed to do this is approximately 57.9 kJ/mol. What
is the wavelength of this energy in nm?
The minimum energy needed by the photons to react with silver bromide in the film is approximately 57.9 kJ/mol. Then, the wavelength is 206 nm.
What is wavelength?Wavelength of a wave is the distance between two consecutive crests or troughs of the wave.
To find the wavelength of the energy in nm, we can use the equation:
E = hc/λ
where E is the energy in joules, h is Planck's constant (6.626 x 10⁻³⁴ J s), c is the speed of light (2.998 x 10⁸ m/s), and λ is the wavelength in meters.
First, we need to convert the energy from kJ/mol to J/photon:
57.9 kJ/mol = 57.9 x 1000 J/mol / 6.02 x 10²³ mol^-1
= 9.626 x 10²⁰ J/photon
Now we can use the equation above to find the wavelength:
9.626 x 10²⁰ J/photon = (6.626 x 10⁻³⁴ J s)(2.998 x 10⁸ m/s) / λ
Solving for λ, we get:
λ = hc/E = (6.626 x 10⁻³⁴ J s)(2.998 x 10^8 m/s) / 9.626 x 10⁻²⁰J/photon
= 2.06 x 10⁻⁷ m
Finally, we convert the wavelength from meters to nanometers:
λ = 2.06 x 10⁻⁷ m x (10⁻⁹ nm/m)
= 206 nm
Therefore, the wavelength of the energy needed to react with silver bromide in 35 mm photographic film is approximately 206 nm.
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Given the reaction below, which is the being oxidized?
Mg + Cl2 Right arrow. Mg2+ + 2Cl–
2CI–
CI2
Mg
Mg2
The ion that is oxidized in the above redox reaction is Mg (option A). Details about oxidation can be found below.
What is oxidation in a redox reaction?Oxidation in a redox reaction is a reaction in which the atoms of an element lose electrons and the oxidation state of the element increases.
According to this question, the redox reaction is given as follows: Mg + Cl2 = Mg2+ + 2Cl–
As shown in the above redox reaction, Magnesium oxidation number increases from 0 to 2+, therefore, is the one being oxidized.
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AnswerAAAAA
Explanation:
If the symbol x represents a central atom, y represents outer atoms, and z represents lone pairs on the central atom, the structure the central x atom is single bonded to two y atoms, which are 180 degrees apart. The x atom has two lone pairs. Could be abbreviated as xy2z2. Classify each molecule according to its shape.
XY2Z - linear
XY2Z2 - bent(120)
XY2Z3 - bent(109)
XY3Z - trigonal pyramidal
XY3Z2 - t-shaped
XY4Z - see-saw
XY4Z2 - square planar
XY5Z - square pyramidal
Linear shape: A linear molecule is one that has its atoms arranged in a straight line.
Bent shape: One type of bent molecular geometry features a center atom with two lone pairs of electrons and two bond pairs attached to it. Other names for it include angular and V-shaped.
Trigonal pyramidal: A trigonal pyramid is a molecular shape that resembles a tetrahedron and has one atom at the top and three at the corners of the base.
T-Shaped: When a central atom has three ligands, the structure of the molecule is said to have a T-shaped molecular geometry.
See-saw: This shape is caused by a lone pair of electrons on the central atom.
Square planar: In square planar molecular geometry, constituent atoms create the square's four corners on the same plane and surround the center atom.
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Which term describes the amount of pressure each gas in a mixture contributes to the overall gas pressure?
The term would be partial pressure.
What is the partial pressure of gases?
The partial pressure of a gas refers to the amount of pressure contributed by the gas to the overall pressure of a non-reacting gas mixture.
For example, if a gas is formed from a mixture of two gases A and B. The pressure of the gas would be the sum of the pressure of A and that of B. The pressures that A and B contribute to the overall pressure of the gas are called the partial pressures of A and B respectively.
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Use the portion of the periodic table shown below to answer the questions.
A portion of the first three columns of the periodic table is shown. Column one from top to bottom reads 11 sodium 22.990, 19 potassium 39.098, and 37 rubidium 85.468. Column two reads 12 magnesium 24.305, 20 calcium 40.078, and 38 strontium 87.62. Column three reads 21 scandium 44.956 and 39 yttrium 88.906.
Part 1: Name two elements that have the same properties as sodium (Na). (4 points)
Part 2: Determine the number of protons, electrons, and neutrons present in an atom of calcium (Ca). Explain how you determined your answer using complete sentences. (6 points)
The two elements that have the same properties as sodium are potassium and rubidium .
What is periodic table?The periodic table is an arrangement of the elements in order of increasing atomic number.
From the list, the two elements that have the same properties as sodium are potassium and rubidium .
Proton has an atomic number of 20 and a mass number of 40. The number of electrons is the same as the number of protons. Given that the atomic number is the number of protons present, we have 20 electrons and 20 protons.
Number of neutrons = Mass number - Number of protons
= 40 - 20 = 20 neutrons
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What effects doing adding a solute have on the freezing point of the freezing point of a solution
Answer:
Lowers the freezing point
Explanation:
Lowers the freezing temp
"Freezing point depression is a colligative property observed in solutions that results from the introduction of solute molecules to a solvent. The freezing points of solutions are all lower than that of the pure solvent and is directly proportional to the molality of the solute."
Answer: The temperature at which the solution freezes is lowered
Explanation:
An element with 11 neutrons, 11 protons, and 11 electrons would have a mass number o?
The mass number of element is 22.
The mass number is the sum of number of electrons/proton and number of neutron .
Mass number = number of proton/electron + number of neutrons
If an element with 11 neutrons, 11 protons, and 11 electrons then mass number is calculated as,
Mass number = number of proton/electron + number of neutrons
Mass number = 11 + 11 = 22
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he expression below was formed by combining different gas laws.
V is proportional to StartFraction n T over P EndFraction.
Which law was used to determine the relationship between the volume and the number of moles in this equation?
Boyle’s law
Charles’s law
Avogadro’s law
Gay-Lussac’s law
C. The law that was used to determine the relationship between the volume and the number of moles is Avogadro’s law.
What is Avogadro’s law?Avogadro's law states that equal volumes of any gas contain the same number of molecules at the same temperature and pressure.
V ∝ n
where;
V is volume of the gasn is number of molesThus, the law that was used to determine the relationship between the volume and the number of moles is Avogadro’s law.
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Answer: C. Avogadro’s law
Explanation:
hich of the following is an oxidation-reduction reaction?
ZnS(s) + 2O2(g) Right arrow. ZnSO4(s)
CaO(s) + H2O(l) Right arrow. Ca(OH)2(s)
6Li2O(s) + P4O10(g) Right arrow. 4Li3PO4(s)
SO2(g) + H2O(l) Right arrow. H2SO3(aq)
The oxidation-reduction reaction from the reactions above is
ZnS(s) + 2O2(g) ------ ZnSO4(s)
What is redox reactions?Oxidation-reduction or redox reaction is the type of chemical reaction in which oxidation states of substrate changes
So therefore, the oxidation-reduction reaction from the reactions above is
ZnS(s) + 2O2(g) ------ ZnSO4(s)
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How much energy does cameron need to add to raise the temperature of a 0.500-kg sample of silver from 200 k to 205 k? the specific heat of silver is 236 j/kgk
energy to raise temperature is 590 J
Given:
mass of silver sample = 0.5 kg
initial temperature = 200 k
final temperature = 205 k
specific heat of silver = 236 j/kgk
To Find:
energy to raise temperature
Solution: The heat energy required to raise the temperature of of a substance through is called its specific heat capacity.
Q = cmΔt
where c= constant of proportionality, called specific heat capacity of the body
Q = mass x specific heat x ∆t
= 0.5 x 236 x ( 205-200 )
= 590 J
So, energy to raise temperature is 590 J
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Equation is balanced already
How many grams of propane are
needed to react completely with 48 grams of oxygen?
How many grams of carbon dioxide will be produced? (I-8 marks)
2 C4H10 13 O₂ = 8 CO2 +10 H₂O
Answer:
1.) 13 g C₄H₁₀
2.) 41 g CO₂
Explanation:
To find the mass of propane (C₄H₁₀) and carbon dioxide (CO₂), you need to (1) convert mass O₂ to moles O₂ (via molar mass), then (2) convert moles O₂ to moles C₄H₁₀/CO₂ (via mole-to-mole ratio from equation coefficients), and then (3) convert moles C₄H₁₀/CO₂ to mass C₄H₁₀/CO₂ (via molar mass). It is important to arrange the ratios in a way that allows for the cancellation of units. The final answers should have 2 sig figs to match the sig figs of the given value.
Molar Mass (C₄H₁₀): 4(12.011 g/mol) + 10(1.008 g/mol)
Molar Mass (C₄H₁₀): 58.124 g/mol
Molar Mass (CO₂): 12.011 g/mol + 2(15.998 g/mol)
Molar Mass (CO₂): 44.007 g/mol
Molar Mass (O₂): 2(15.998 g/mol)
Molar Mass (O₂): 31.996 g/mol
2 C₄H₁₀ + 13 O₂ ----> 8 CO₂ + 10 H₂O
48 g O₂ 1 mole 2 moles C₄H₁₀ 58.124 g
--------------- x ----------------- x -------------------------- x ------------------ =
31.996 g 13 moles O₂ 1 mole
= 13 g C₄H₁₀
48 g O₂ 1 mole 8 moles CO₂ 44.007 g
--------------- x ----------------- x -------------------------- x ------------------ =
31.996 g 13 moles O₂ 1 mole
= 41 g CO₂
A 1.00 L sample of HCl(aq) is prepared and has a pH of 1.045.
What mass of HCl(g) is dissolved?
The mass of HCl dissolved to form the solution is 3.285 g.
What is the mass of HCl dissolved?The mass of HCl is determined from the pH.
The concentration of hydrogen ions is given as:
[H⁺] = 10⁻1.045 = 0.09
1.0 moles of HCl is produced by 1.0 moles HCL
Moles of HCl = 0.09
Mass of HCl = 0.09 * 36.5
Mass of HCl = 3.285 g
In conclusion, the mass of HCl dissolved is obtained from the pH of the solution.
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Board cases involving eligibility or disciplinary issues that are resolved through a board agreed order
Board instances involving eligibility or disciplinary issues that are addressed by a board-approved order public records and accessible on the BON's web page.
BON's web page
Board Position Statements are a way to give nurses guidance on topics that are important to the Board and relate to the safety of the public, but they do not have the legal force of law. In the context of the position statement's overall intent, each position statement is intended to offer direction. Board position statements are examined every year to determine their applicability and accuracy in light of current practice, the Nursing Practice Act, and Board regulations. In January 2022, the Board conducted its most recent evaluation.
It is possible to find a concise summary of the substance of the Position Statements, although it does not include all the specifics that are included in each Position Statement.
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Which describes the law of conservation of matter?
O A. Chemical reactions cannot happen.
B. Atoms cannot be created or destroyed in a reaction.
OC. Atoms are not involved in chemical reactions.
OD. Molecules cannot change into other molecules during a reaction.
SUBMIT
Answer:
answer is B
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A 25. 00 ml sample of acetic acid containing phenolphthalein indicator is titrated with 0. 1067 m naoh. The solution changes color after 30. 07 ml naoh has been added. What is the concentration of the acetic acid before titration?.
The concentration of acetic acid:
The concentration of the acetic acid before titration is 0.128 M
What is titration?
Titration is a quantitative analytical procedure that works by allowing a known analyte to gradually react with a titrant until an endpoint is reached.
Titration for weak acid and strong base:
Moles of acetic acid = moles of NaOH
Given:
Concentration of NaOH = 0.1067 M
Volume of NaOH = 30.07 ml = 0.03007 L
Calculation:
So, by using the formula, Concentration = Moles/Volume
Moles of NaOH = concentration x volume = 0.1067 x 0.03007 = 0.0032
Therefore, the moles of acetic acid = 0.0032 mole
Now, using the formula again for determining the concentration of acetic acid, we get,
Concentration = Moles/Volume
Concentration of acetic acid = 0.0032/0.025 = 0.128M
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Why is it difficult to see whether you have added the phenolphthalein to the flask solution before you have titrated it?
Whether in an alkali (pink) or an acid (colorless) solution, the phenolphthalein indicator has one of two distinct structures. Both structures are light-absorbing in the ultraviolet spectrum, which the human eye cannot see. So it is challenging.
What is phenolphthalein? The phthalein family of chemical compounds includes the indicator phenolphthalein (C20H14O4). The powder is a thin, crystalline yellowish-white to light orange powder. It has a pKa of 9.3, is barely soluble in water, and, when dissolved in alcohol, is used as an indicator for acid-base titration investigations.It is colorless in liquid form until pH 8.5 when it transforms from pink to dark red. Adolf von Baeyer, a German chemist, created phenolphthalein in 1871. He produced it by fusing phenol and phthalic anhydride in the presence of sulfuric acid (H2SO4) or zinc chloride. Phenolphthalein is closely linked to the triphenylmethane dyes (ZnCl2). The abbreviation "HIn" or "php" in shorthand notation is frequently used to refer to the chemical compound phenolphthalein, which has the formula C20H14O4. Its structure consists of 2 alcoholic groups, one ketone group, three hexagonal structures, and one pentagonal structure. Another compound with carbon, hydrogen, and oxygen chain structure is phenolphthalein.Phenolphthalein is frequently used as an indicator in acid-base titrations. Due to its water solubility, phenolphthalein is frequently dissolved in alcohols before use in experiments. It is a weak acid that can lose H+ ions in solutions. While the ion of phenolphthalein is purple, the phenolphthalein molecule is colorless.A common indicator used in titration experiments to show the titration's endpoint is phenolphthalein, an inert, colorless acid. Since this molecule dissociates to generate pink anions when dissolved in water, the endpoint is signaled by the production of pink color.To learn more about phenolphthalein, refer to:
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The iron atoms in the prosthetic groups of the electron transport chain proteins can easily accept and release ____
The iron atoms in the prosthetic groups of the electron transport chain proteins can easily accept and release electrons
A helper molecule, or prosthetic group, is a nonproteinaceous substance that aids in the activity of an enzyme. A particular type of cofactor molecule, or organic molecule, known as a coenzyme, aids enzymes in catalyzing chemical reactions.
a prosthetic group made comprised of a protoporphyrin ring and an iron (Fe) atom in the middle. Four pyrrole rings joined by methene bridges form a protoporphyrin ring.
Through their involvement in cellular respiration and fatty acid production, prosthetic groups support cellular activity. Holoproteins are the name for prosthetic groups that are attached to proteins. Prosthetic groups include, among others, heme, biotin, flavin, iron sulfides, copper, and ubiquinone.
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an iron weighing 50 grams absorbs 256.0 J of heat and warms by 11.4C What is the specific heat of the iron can
The specific heat of the iron can is determined as 0.449 J/g⁰C.
Specific heat of the iron can
The specific heat of the iron can is calculated as follows;
Q = mcΔθ
c = Q/mΔθ
where;
Q is quantity of heatΔθ is change in temperaturem is massc = 256/(50 x 11.4)
c = 0.449 J/g⁰C
Thus, the specific heat of the iron can is determined as 0.449 J/g⁰C.
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A 5.2 molal aqueous solution of methyl alcohol, CH3OH, is supplied. What is the mole fraction of methyl alcohol in the solution?
Answer:
0.086
Explanation:
A 5.2 molal aqueous solution of methyl alcohol indicates that 5.2 moles of methyl alcohol are present in 1 kilogram (or 1000 g) of water. Water has a molecular weight of 18 g/mol.
(100g)/18g/mol=55.56 mol
5.2 mol/(5.2mol+55.56 mol)=0.086
The volume of a gas decreases to half of its original volume, but the gas maintains the same number of moles and temperature. According to the ideal gas law, what will most likely happen to the pressure?
It will double.
It will decrease.
It will increase slightly.
It will remain the same
A. when the volume of the gas is halved, the pressure of the gas will be doubled.
Pressure of the gas according to ideal gas lawPV = nRT
P = nRT/V
when the volume is halved
P= nRT/0.5V
P = 2nRT/V
P(new) = 2P(initial)
Thus, when the volume of the gas is halved, the pressure of the gas will be doubled.
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A solution is prepared by dissolving 117 grams of salt (NaCI) in 250 milliliters of water (H_{2}*O) What is the molarity of the solution?
D. 468 M NaCI
C. 8.0 M NaCl
A. 0.47 M NaCI
B. 8 * 10 ^ - 3 * MNaCl
Taking into account the definition of molarity, the molarity on the solution is 8 M.
Definition of molarityMolar concentration or molarity is a measure of the concentration of a solute in a solution and indicates the number of moles of solute that are dissolved in a given volume.
The molarity of a solution is calculated by dividing the moles of solute by the volume of the solution:
[tex]Molarity=\frac{number of moles}{volume}[/tex]
Molarity is expressed in units [tex]\frac{moles}{L}[/tex].
This caseIn this case, you know that:
number of moles= 117 gramsx[tex]\frac{1 mole}{58.45 grams}[/tex]= 2 moles, where 58.45[tex]\frac{g}{mole}[/tex] is the molar mass of NaCl.volume= 250 mL= 0.250 L (being 1000 mL= 1 L)Replacing in the definition of molarity:
[tex]Molarity=\frac{2 moles}{0.250 L}[/tex]
Solving:
Molarity= 8 [tex]\frac{moles}{L}[/tex]= 8 M
Finally, the molarity on the solution is 8 M.
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Please help! Is there another way that 3.40x10^-19J can be imputed on a computer. I have the right answer but it is wrong.
An element emits light at a wavelength of 584 nm. What is the energy of the photon with that wavelength?
Write your answer in scientific notation with the appropriate significant figures and unit. The exponent of 10 is written with the carat (^) symbol, so 10^n.
The energy of the photon with the wavelength of 584 nm is 3.4×10¯¹⁹ J
How to determine the frequency of the photonWavelength (λ) = 584 nm = 584×10⁻⁹ mSpeed of light (v) = 3×10⁸ m/sFrequency (f) = ?f = v / λ
f = 3×10⁸ / 584×10⁻⁹
f = 5.14×10¹⁴ Hz
How to determine the energyPlanck's constant (h) = 6.626×10¯³⁴ JsFrequency (f) = 5.14×10¹⁴ HzEnergy (E) =?E = hf
E = 6.626×10¯³⁴ × 5.14×10¹⁴ Hz
E = 3.4×10¯¹⁹ J
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22.PTCL wants to interlink 5 cities and the links should be between every two cities, how many links will be formed?
There will be 10 links for every two cities of the given 5 towns.
What is the formula for finding the number of combinations?The formula for the number of combinations is
[tex]\frac{n!}{r!(n-r)!}[/tex]
Where n is the number of objects and r is the number of choosing the objects.
How many pairs can be formed with the 5 cities and what are they?Consider the given 5 cities as A, B, C, D, and E
The pairs we can form:
(A, B), (A, C), (A, D), (A, E), (B, C), (B, D), (B, E), (C, D), (C, E), and (D, E)
How many links are formed?Since there are 10 pairs, there will be 10 links between those.
The number of combinations = [tex]\frac{n!}{r!(n-r)!}[/tex]
where n = 5 and r = 2
⇒ [tex]\frac{5!}{2!(5-2)!}[/tex]
⇒ 10
Therefore, there will be 10 links between those 5 cities.
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