Answer:
Some of the acid has dissociated
Explanation:
If Ka is a great deal extra than 1, the acid is basically dissociated and so is said to be a robust acid. If Ka is much less than 1, the acid is dissociated only to a small quantity and so is said to be a vulnerable acid.
So the suitable answer is option D. some of the acids have dissociated.
What does Ka say about equilibrium?the usage of Ka and pKa To are expecting Equilibrium and strength of Acids. Ka can be used to measure the placement of equilibrium: If Ka is massive, the formation of the goods of the dissociation is favored. If Ka is small, the undissolved acid is preferred.
What does a Ka fee imply?
The acid dissociation constant (Ka) is used to distinguish sturdy acids from susceptible acids. robust acids have fairly excessive Ka values. The Ka price is located by looking at the equilibrium regular for the dissociation of the acid. The better the Ka, the greater the acid dissociates.
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What is the molarity of the solution produced when 85.6 g of hydrochloric acid (HCl) is dissolved in enough water to prepare 385 mL of solution?
Answer:
6.09 M
Explanation:
M(HCl) = 1 +35.5 = 36.5 g/mol
85.6 g * 1 mol/36.5 g = 2.3452 mol HCl
Molarity = mol solute/ L solution = 2.3452 mol/0.385 L = 6.09 mol/L =6.09 M
The number of moles of HCl in 85.6 g is 2.35 moles. Then, the molarity of the 385 ml or 0.385 L solution is 6.10 M
What is molarity ?The molarity of a solution is the ratio of the number of moles of its solutes to the volume of solution in liters. It is the common term to express the concentration of a solution.
To find the molarity of the solution, we need to first calculate the number of moles of HCl in the solution, using the formula:
moles = mass / molar mass
where mass is the mass of the solute (hydrochloric acid) and molar mass is the molecular weight of the solute.
The molecular weight of HCl is approximately 36.5 g/mol (1.008 g/mol for hydrogen and 35.5 g/mol for chlorine).
So, the number of moles of HCl in 85.6 g of HCl is:
moles = 85.6 g / 36.5 g/mol = 2.35 mol
Next, we need to calculate the volume of the solution in liters:
385 mL = 0.385 L
Finally, we can calculate the molarity of the solution using the formula:
molarity = moles of solute / liters of solution
molarity = 2.35 mol / 0.385 L ≈ 6.10 M
Therefore, the molarity of the solution produced is approximately 6.10 M.
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Which of the following is a property of an acid?
1. Acids become slippery when dissolved in water.
2. Acids react with metals to form hydrogen gas.
3. Acids produce salts when mixed with other acids.
4. Acids become more acidic when mixed with a base.
An example of a potassium compound containing both ionic and covalent bonds is?
A. potassium chloride
B. potassium hydride
C. potassium nitrate
D. potassium oxide
Potassium Nitrate (KNO3) is a potassium compound containing both ionic and covalent bonds. The bond between K+ and NO3- is ionic while the bonds within the nitrate ion are covalent.
Explanation:An example of a potassium compound containing both ionic and covalent bonds is potassium nitrate (C). In potassium nitrate (KNO3), the bond between the potassium ion (K+) and the nitrate ion (NO3-) is ionic. Within the nitrate ion itself, the bonds between the nitrogen atom and the oxygen atoms are covalent.
Ionic bond forms when one atom transfers one or more electrons to another atom; in this case, potassium (K) transfers one electron to nitrate (NO3) ion. Covalent bond on the other hand occurs when two atoms share electrons, as seen in the bonding between nitrogen (N) and oxygen (O) atoms within the nitrate ion (NO3).
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How did the building of granaries indicate that Harappan civilization was economically strong?
It showed that the richest Harappan citizens had excess food to trade or sell. It showed that Harappa could store excess food to save, sell, or trade with others.
1. Construct Explanations How does the time at which you see things
happen at a baseball game compare to the time when you hear things
happen? Explain your answer.
Answer:
You see things happen much sooner than you hear them.
Explanation:
Light travels about a million times as fast as sound.
When the ball hits the bat , it will take about a million times longer to hear the crack of the bat than to see it.
What you see is almost instantaneous.
There will be a delay until you hear the sound.
A standard hydrogen atom has how many neutrons?
A. 0
B. 3
C. 2
D. 1
Answer:
D. 1
Explanation:
Hydrogen is the chemical element with the symbol H and atomic number 1. With a standard atomic weight of 1.008, hydrogen is the lightest element in the periodic table. Hydrogen is the most abundant chemical substance in the Universe, constituting roughly 75% of all baryonic mass.
Answer:
D.1 is the correct answer
Explanation:
How many moles are in 63 grams of water (H2O)?
To find the number of moles in 108 grams of water, divide the given mass by the molar mass of water, which is 18.02 grams per mole. The number of moles is 6.
Explanation:To determine the number of moles in 108 grams of water (H2O), we can use the molar mass of water as a conversion factor. The molar mass of water is 18.02 grams per mole. So, to find the number of moles, divide the given mass by the molar mass:
Number of moles = Mass of water / Molar mass of water
Number of moles = 108 g / 18.02 g/mol
Number of moles = 6 moles.
How much force is required to lift a 100kg barbell with an acceleration of 3 m/s2?
Answer:
300N
Explanation:
Mass = 100kg
Acceleration = 3m/s²
Force = mass × acceleration
F = ma
Force = 100 × 3
Force = 300N
The force required to move 100kg of barbell with an acceleration of 3m/s² is 300N
If you make a solution that has a H+ concentration of 0.075, what
will the pH of the solution be?
Answer:
1.125
Explanation:
pH = -log[H+]
pH = -log(0.075)
pH = 1.125
Which of these formulas contain equal numbers of nitrogen atoms?
I. CO(NO3)2
II. (NH2)2CO,
III. (NH),PO,
IV. AI(NO3)2
V. NH.NO,
A
Formulas I and III
B
Formulas I and IV
C
Formulas II and III
D
Formulas I, II, and v
Answer:
Its D
Explanation:
Because 1 nitrogen atom is N2 and theres an N2 in all of those
Formulas I, II, and III each contain an equal number of nitrogen atoms.
Explanation:To determine which formulas contain an equal number of nitrogen atoms, we need to count the number of nitrogen atoms in each formula.
Formula I: CO(NO3)2 - This formula has 2 nitrogen atoms.Formula II: (NH2)2CO - This formula has 2 nitrogen atoms.Formula III: (NH4)2PO - This formula has 2 nitrogen atoms.Formula IV: Al(NO3)3 - This formula has 3 nitrogen atoms.Formula V: NH4NO2 - This formula has 1 nitrogen atom.From the count, we can see that formulas I, II, and III each contain an equal number of nitrogen atoms.
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How does deforestation (cutting trees down), affect carbon dioxide levels in the atmosphere?
A. Trees have no effect on carbon dioxide in the air.
B. When they are cut down they no longer absorb carbon dioxide, increasing the levels in the atmosphere.
C. When they are cut down they no longer produce carbon dioxide, decreasing the levels in the atmosphere.
D. When each tree is cut down, they release a large burst of carbon dioxide, increasing the levels in the atmosphere.
Deforestation leads to increased carbon dioxide levels in the atmosphere by preventing trees from absorbing it and releasing stored carbon dioxide back into the air.
Explanation:Deforestation significantly impacts carbon dioxide levels in the atmosphere. When trees are cut down, they can no longer remove carbon dioxide from the atmosphere, leading to an increase in carbon dioxide levels. Additionally, burning trees releases stored carbon dioxide back into the atmosphere, further contributing to the greenhouse effect and climate change.
a. If 42.5 g of CH3OH reacts with 22.8 L of O2 at 27°C and a pressure of 2.00 atm, calculate the number of grams of water vapor and the volume of water vapor that would be formed at the same temperature and pressure.
Answer:
The mass of water vapor is 44.46 grams
The volume of water is 30.37 L
Explanation:
Step 1: Data given
Mass of CH3OH =42.5 grams
Molar mass CH3OH = 32.04 g/mol
Volume of O2 = 22.8 L
Pressure = 2.00 atm
Step 2: The balanced equation
2CH3OH + 3O2 → 2CO2 + 4H2O
Step 3: Calculate moles CH3OH
Moles CH3OH = mass CH3OH / molar mass CH3OH
Moles CH3OH = 42.5 grams / 32.04 g/mol
Moles CH3OH = 1.326 moles
Step 4: Calculate moles O2
p*V = n*R*T
⇒with p = the pressure = 2.00 atm
⇒with V = the volume of O2 = 22.8 L
⇒with n = the moles of O2 = TO BE DETERMINED
⇒with R = the gas constant = 0.08206 L*Atm/mol*K
⇒with T = the temperature = 27 °C = 300 K
n = (p*V) / (R*T)
n = (2.00 * 22.8) / (0.08206*300)
n = 1.85 moles
Step 5: Calculate the limiting reactant
For 2 moles CH3OH we need 3 moles O2 to produce 2 moles CO2 and 4 H2O
O2 is the limiting reactant. It will completely be consumed ( 1.85 moles). CH3OH is in excess. There will react 2/3*1.85 = 1.233 moles. There will remain 1.326 - 1.233 = 0.093 moles
Step 6: Calculate moles products
For 2 moles CH3OH we need 3 moles O2 to produce 2 moles CO2 and 4 H2O
For 1.85 moles O2 we'll have 1.233 moles CO2 and 2.467 moles H2O
Step 7: Calculate mass H2O
Mass H2O = moles H2O * molar mass H2O
Mass H2O = 2.467 moles * 18.02 g/mol
Mass H2O = 44.46 grams
Step 8: Calculate volume H2O
p*V = n*R*T
⇒with p = the pressure = 2.00 atm
⇒with V = the volume of H2O = TO BE DETERMINED
⇒with n = the moles of H2O = 2.467 moles
⇒with R = the gas constant = 0.08206 L*Atm/mol*K
⇒with T = the temperature = 27 °C = 300 K
V = (n*R*T)/p
V = (2.467 * 0.08206 * 300) / 2.00
V = 30.37 L
The mass of water vapor is 44.46 grams
The volume of water is 30.37 L
Find the pH of a solution that contains 3.25 g of H2SO4 (MM= 98.08 g/mol) dissolved in 2.75 liters of solution. (Hint diprotic acid)
Answer:
the ph is 13.54
ur welcome
Explanation:
Based on the data provided, the pH of the H2SO4 solution is 1.62
What is pH of a solution?The pH of a solution is the negative logarithm to base ten of the hydrogen ions concentration of the solution .
Mathematically, pH = - log [H+]
The pH is calculated from the molarity of the solution.
Molarity = number of moles/volume in Litres moles = mass/molar massnumber of moles of H2SO4 = 3.25/98.08 = 0.0331 moles
Molarity of the H2SO4 solution = 0.0331/2.75 = 0.012 M
Since H2SO4 us a diprotic acid, [H+] = 2 × 0.012 = 0.024
Then;
pH = -log(0.024)
pH = 1.62
Therefore, the pH of the H2SO4 solution is 1.62
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all you have to do is figure out the word for the blank. pls help me
Answer:
Gene disorders require the inheritance of a defective gene from each parent
The only positive ion found in H2SO4(aq) is the
(1) ammonium ion (3) hydroxide ion
(2) hydronium ion (4) sulfate ion
Final answer:
The positive ion found in aqueous sulfuric acid (H2SO4) is the hydronium ion (H3O+), which forms during the acid's ionization in water.
Explanation:
The positive ion found in H2SO4(aq) is the hydronium ion (H3O+). When sulfuric acid (H2SO4) is dissolved in water, the first ionization results in the formation of hydronium ions (H3O+) and hydrogen sulfate ions (HSO4−). The second ionization of the hydrogen sulfate ion can produce more hydronium ions and sulfate ions (SO42−). Since we are discussing only positive ions, the hydronium ion is the relevant ion in both ionization steps of sulfuric acid in an aqueous solution.
The ammonium ion (NH4+), sulfide ion (S2−), and hydroxide ion (OH−) are not relevant in the context of sulfuric acid in aqueous solution.
In aqueous sulfuric acid, the only positive ion present is the 2. hydronium ion (H₃O⁺).
In the aqueous solution of sulfuric acid, H₂SO₄(aq), the only positive ion that is found is the hydronium ion (H₃O⁺).
When sulfuric acid (H₂SO₄) is dissolved in water, it undergoes ionization:
First ionization: H₂SO₄(aq) + H₂O(l) ⇒ H₃O+(aq) + HSO₄⁻(aq)
Second ionization: HSO₄⁻(aq) + H₂O(l) ⇒ H₃O⁺(aq) + SO₄²⁻(aq)
This ionization process results in the formation of hydronium ions (H₃O⁺), making them the only positive ions in the solution. The correct answer is 2.
if oxygen gas is collected over water at 23.5°c and 750.0 mm Hg, what is the pressure of the gas collected?
Answer:
Pressure of the Oxygen gas collected over water at 23.5°C = 728.35 mmHg = 0.958 atm
Explanation:
The gas collected over water will mix with water vapour.
The total pressure of the setup is then a sum of the partial pressure of the gas collected over the water and the vapour pressure of water at the temperature given.
Total Pressure = (Partial Pressure of Oxygen) + (Vapour Pressure of water at 23.5°C)
Total Pressure = 750 mmHg
Partial Pressure of Oxygen = ?
Vapour Pressure of water at 23.5°C = 21.6472 mmHg from literature
750 = (Partial Pressure of Oxygen) + 21.6472
Partial Pressure of Oxygen = 750 - 21.6472 = 728.3528 mmHg = 0.958 atm
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How many grams of NH4Cl (ammonium chloride) should dissolve in 50mL of water at 20 degrees Celsius?
Answer:
about 19 or 20 g
Explanation:
To do this, is neccesary to watch a solubility curve of this compound. This is the only way that you can know how many grams are neccesary to dissolve this compound in 50 mL of water to a given temperature.
Now, if you watched the attached graph, you can see the solubility curve of many compounds in 100 g of water (or 100 mL of water). So, to know how many do you need in 50 mL, it's just the half.
So watching the curve, you can see that at 20 °C, we simply need between 35 g and 40 g. Let's just say we need 38 grams of NH4Cl to be dissolved in 100 mL of water.
So, in 50 mL, it's just the half. So, we only need 19 g or 20 g of NH4Cl at 20 °C, to dissolve this compound in water.
difference between exothermic chemical reaction and endothermic chemical reaction
Explanation:
exothermic reaction is a chemical reaction which involves the liberation of heat to the surroundings while endothermic reaction is a chemical reaction that involves the absorption of heat from the surroundings
Answer:
Exothermic= outside
Endothermic= inside
Explanation:
Which formula represents a solution?
No explanation needed.
Options:
NaOH(aq)NaOH(l)N2(g)NO(g)Answer: NaOH (aq)
Explanation:
Defining state terminologies, 'aq' means aqueous, meaning the analyte is in solution, as opposed to gaseous (g), or liquid (l).
In mathematics, a solution typically refers to the numeric value(s) that satisfy an equation or inequality. For example, in the equation 'x + 3 = 7', the solution is x = 4. In a quadratic equation 'ax^2 + bx + c = 0', the solution(s) for x can be found using the quadratic formula x = [-b ± sqrt(b^2 - 4ac)] / 2a.
Explanation:The term 'solution', in the context of mathematics, typically refers to the process of determining the values that satisfy an equation or inequality. In the most simplistic cases, a 'solution' represents a numeric value that, when substituted into the equation, equates both sides. For instance, in the equation 'x + 3 = 7', the solution would be x = 4. This is because substituting x = 4 into the equation yields a true statement (4 + 3 does indeed equal 7).
In a more complex scenario, such as the quadratic equation 'ax^2 + bx + c = 0', you would use the quadratic formula x = [-b ± sqrt(b^2 - 4ac)] / 2a to find the solution(s) for x.
However, it should be noted that not all formulas are 'solutions'. Some formulas might represent a general principle or pattern, rather than a specific solution to an equation.
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10. If 32.4 mole of CO react with excess Fe2O3, how many moles of Fe will form?
Answer: 21.6 mol of Fe
Explanation:
Fe2O3 + 3 CO → 2 Fe + 3 CO2
32.4 mol CO x __2 mol Fe__ = 21.6 mol of Fe
3 mol CO
The convection that causes Earth's magnetic field happens in Earth's
Answer:
Earth's Core!
A plane can fly 3952 kilometers in 3
hours. If the plane flies in cloudy skies,
it can fly 184 less kilometers than usual
within the same time. What is the speed
for the plane flies in cloudy skies?
km/h
The speed of the plane in cloudy skies is calculated by subtracting the lesser distance it covers in such conditions from its usual distance (3952km - 184km = 3768), and then dividing by the given time which is 3 hours. The speed is thus 1256 km/h.
Explanation:To calculate the speed of the plane flying in cloudy skies, we first need to establish the number of kilometers the plane usually flies which is 3952 km. In cloudy conditions, it covers 184 km less, so we subtract that from the usual distance (3952 - 184 = 3768 km). The time is still 3 hours. Speed is calculated by dividing the distance by the time. That gives us 3768 km / 3 hours = 1256 km/h.
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The solubility of a salt in a given volume of water depends primarily on the A) surface area of the salt crystals B) temperature of the water C) rate at which the salt and water are stirred D) pressure on the surface of the water
Answer:
The correct answer to the following question will be Option B (temperature of the water).
Explanation:
The solubility of that same salt which appears whenever the substance is added in some kind of a fluid which already incorporates another origin of many of its atoms.The solubility of such a substance throughout a given quantity of water is predominantly dependent on the whole of the water temperature.Final answer:
The solubility of a salt in water is primarily determined by the temperature, with most solutes having increased solubility at higher temperatures. This greatly influences the maximum amount of solute that can dissolve, making temperature a key factor in solubility. The correct answer is B.
Explanation:
The solubility of a salt in a given volume of water depends primarily on the B) temperature of the water. This is because solubility is significantly influenced by temperature, with most solid or liquid solutes having their solubility increased with rising temperature. The solubility of sodium chloride, for example, is 36.0 g per 100 g of water at 20°C, underscoring the need to specify temperature when discussing solubility. While surface area affects the rate of dissolution and stirring can increase the rate of solute-solvent collisions, it is the temperature that primarily determines the maximum amount of solute that can dissolve. Pressure, on the other hand, has a prominent effect on the solubility of gases rather than salts in water.
Please show all of your work! :)
Answer:
B
Explanation:
Since we want to find the volume of CO, but we're given Nickel's mass, we need to convert grams of Nickel to moles then convert that to moles of CO using stoichiometry from the balanced reaction.
The molar mass of Nickel is 58.69 g/mol:
[tex]18.9 g Ni *\frac{1mol}{58.69gNi} =0.322molNi[/tex]
From the reaction, we can see that each mole of Nickel is 4 moles of CO, so to find the number of moles of CO from 0.322 moles of Nickel, multiply 0.322 by 4: 0.322 * 4 = 1.29 mol CO
Now, we can use the ideal gas law, PV = nRT, to find the volume of CO:
- the pressure P is 2.99 atm
- the volume is what we want to find
- the moles n is 1.29 mol CO
- the gas constant R here would be 0.08206 L atm / (mol K)
- the temperature T is 340.°C + 273 = 613 K
Plug all these values in:
PV = nRT
(2.99 atm) * V = (1.29 mol) * (0.08206) * (613 K)
V ≈ 21.7 L
The answer is B
A large container holds 2 liters of water. 45.0 grams of NaCl is added to the container. What is the molarity of sodium chloride in the container?
Answer:
THE MOLARITY OF SODIUM CHLORIDE IN THE CONTAINER IS 0.3846 M.
Explanation:
Molarity of a solution is the number of moles of solute per dm3 of solution.
Mass concentration = Molar concentration * Molar mass
1. calculate the mass concentration;
Mass conc. = 45 g in 2 L
= 45 g in 2 dm3
In 1 dm3, the mass will be 45 / 2
= 22.5 g/dm3 of NaCl.
2. Calculate the molar mass;
(Na = 23, Cl = 35.5)
Molar mass = ( 23 + 35.5 ) g/mol
Molar mass = 58.5 g/mol
3. calculate the molarity
Molarity = mss concentration / molar mass
Molarity = 22.5 g/dm3 / 58.5 g/mol
Molarity = 0.3846 mol/dm3 of NaCl.
The molarity of sodium chloride in the container is 0.3846 mol/dm3
how many atoms of lead are there in 10.0 g of lead?
Answer:
The number of atoms in 10 g of Pb is 2.9064 × 10²² atoms
Explanation:
According to Avogadro's constant, one mole of a substance contains exactly 6.02214076 × 10²³ particles such as molecules, atoms or ions.
Here we have lead, Pb, which is an uncombined element, therefore, the number of moles present in 10 g of lead can be found as follows;
Molar mass of lead = 207.2 g/mol
Mass of lead sample = 10 g
[tex]Number \, of \, moles, \, n, \, of \, lead \, present = \frac{Mass \, of \, lead}{Molar \, mass \, of \, lead} = \frac{10 \, g}{207.2 \, g/mol} = 0.04826 \ moles[/tex]
Therefore, number of atoms in 10 g of lead is found by multiplying the number of moles by the Avogadro's number as follows;
Number of atoms = Number of moles × Avogadro's number
∴ Number of atoms in 10 g of Pb = 0.04826 × 6.02214076 × 10²³ = 2.9064 × 10²² atoms.
The number of atoms in 10 g of Pb = 2.9064 × 10²² atoms.
Answer:
2.9 ×10^22 atoms of lead.
Explanation:
Now, we have to make use of the Avogadro's number. Remember that according to professor Avogadro, the mole refers to the amount of substance that contains the same number of elementary entities as 12 grams of carbon-12.
The number of elementary particles (atoms, ions, molecules etc) present is one mole of a substance is equal to the Avogadro's number. Hence one mole of a substance contains Avogadro's number of elementary entities.
Now one mole of lead has a mass of 207.2 gmol-1. One mole of lead contains 6.02×10^23 atoms (Avogadro's number) of atoms.
Hence if 207.2 g of lead contains 6.02×10^23 atoms of lead
10.0 g of lead will contain 10.0 × 6.02×10^23 / 207.2 = 2.9 ×10^22 atoms of lead.
Hence 10.0g of lead contains 2.9 ×10^22 atoms of lead.
Which of the following is a way that carbon dioxide emissions can be reduced?
A. Conserving species that are in danger of extinction.
B. Planting more trees to soak up carbon dioxide.
C. Generating electricity from coal sources instead of oil.
D. Cutting down only trees that produce carbon dioxide.
Carbon dioxide is a greenhouse gas that has increased global warming. The carbon dioxide emissions can be reduced by planting more trees to absorb carbon dioxide. Thus, option B is correct.
What is the effect of carbon dioxide emissions?Carbon dioxide is a greenhouse gas present in the atmosphere and plays an important role in absorbing UV radiation. The increased carbon emissions due to pollution and deforestation have led to an increase in the temperature of the planet. This has resulted in climate change due to global warming.
This effect of carbon emission can only be reduced if more plantation is done to soak up the carbon present in the atmosphere. Plants take carbon dioxide from the surroundings to produce food and oxygen and can help reduce global warming and pollution.
Therefore, option B. more plantations can decrease carbon emissions.
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The best option for reducing carbon dioxide emissions among those provided is B. Planting more trees. Trees act as a carbon sink and absorb CO₂, aiding in the reduction of atmospheric carbon levels.
Among the options provided for reducing carbon dioxide emissions, the correct choice is B. Planting more trees. Trees absorb carbon dioxide from the atmosphere during the process of photosynthesis, which helps to reduce overall concentrations of this greenhouse gas. Additionally, measures such as burning less fossil fuels and increasing carbon sinks like forests can further help remove CO₂ from the atmosphere. However, other options such as generating electricity from coal, which is more carbon-intensive than oil, or cutting down trees would increase carbon emissions rather than reduce them.
To effectively reduce CO₂ emissions, reducing deforestation, increasing afforestation and reforestation, and shifting to cleaner energy sources like solar, wind, and biomass are also crucial strategies. These actions, combined with policies like capping emissions and promoting sustainable agricultural practices, can significantly lower the atmospheric concentration of carbon dioxide.
How much of this reactant should he order to
make sure he runs out of both reactants at the
same time? Round to the nearest hundredth and
do not round any of your work until the very end.
He should order
reactant.
g of the limiting
DONE
Answer:
92.41 g
Explanation:
Answer: He should order 92.41g of the limiting reactant.
150 units of chemical energy were converted into 35 units of thermal energy, 5 units of sound energy,
and x units of radiant energy. What is the value of x?
A. 190
OB. 40
O
C.
110
O
D.
100
Answer:
110
Explanation:
The molar absorptivity of Beta-carotene at 490 nm is 1.36 x 105 M-1cm-1. What is the concentration of a solution of Beta-carotene that has an absorbance, A490 = 140 in a cell with a path length of 1 cm? The molar absorptivity of Beta-carotene at 490 nm is 1.36 x 105 M-1cm-1. What is the concentration of a solution of Beta-carotene that has an absorbance, A490 = 140 in a cell with a path length of 1 cm? 2.5 x 10-4 M 5.0 x 10-4 M 1.3 x 10-4 M 2.0 x 10-3 M 1.0 x 10-3 M?
Answer:
The correct answer to the following question will be Option E (1.0 x 10⁻³ M).
Explanation:
The given values are:
[tex]A\lambda =140[/tex]
[tex]\varepsilon=1.36\times 10^5 \ M \ {cm^{-1}}[/tex]
L = 1 \ cm
As we know,
⇒ [tex]A\lambda=\varepsilon CL[/tex]
On putting the given values in the above formula, we get
⇒ [tex]140=1.36\times 10^5\times C\times 1[/tex]
⇒ [tex]C=\frac{140}{1.36\times 10^5}[/tex]
⇒ [tex]C=102.9\times 10^{-5} \ M[/tex]
So that option E is the right answer.
The concentration of a Beta-carotene solution with an absorbance of 140 at a path length of 1 cm is calculated as approximately 1.0 x 10⁻³ M using the Beer-Lambert law.
The question is asking for the concentration of a Beta-carotene solution based on its absorbance at a wavelength of 490 nm using the Beer-Lambert law. According to the Beer-Lambert law, absorbance (A) is equal to the molar absorptivity () times the concentration of the solution (c) times the path length (b):
A = c b
Given the values:
Absorbance (A) = 140
Molar absorptivity () = 1.36 x 105 M⁻¹cm⁻¹
Path length (b) = 1 cm
We can rearrange the equation to solve for concentration (c):
c = A / (b)
Plugging in the given values:
c = 140 / (1.36 x 105 x 1)
Concentration (c) = 1.0294117647 x 10⁻³ M, which can be approximated to 1.0 x 10⁻³ M based on the given options.
Hence, the concentration of Beta-carotene solution with an absorbance of 140 at a path length of 1 cm is 1.0 x 10⁻³ M.