The ice cream activity of integration is that it demonstrates how integration can be used to find the area under a curve or the total quantity of a certain variable, such as the amount of ice cream consumed.
This activity involves plotting the ice cream consumption over time on a graph, with the x-axis representing time and the y-axis representing the amount of ice cream consumed. The curve formed by the data points represents the rate of ice cream consumption.
The goal of this activity is to find the total amount of ice cream consumed during a specific time interval. To do this, you can use integration, which is a mathematical technique for finding the area under a curve.
By integrating the function that describes the curve, you can determine the total ice cream consumed during the given time period. This activity helps to illustrate the concept and application of integration in real-life situations.
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1 Volume of certain amount of a gas at 25°C and
100 cm Hg pressure is 80 mL. The gas is
expanded to 160 mL keeping the temperature
constant. Calculate the pressure of the expanded
Numericals based on Boyle's law
Answer:
P₂ = 50 mmHg
Explanation:
Given data:
Initial volume of gas = 80 mL
Initial pressure of gas = 100 mmHg
Final volume = 160 mL
Final pressure = ?
Temperature = constant
Solution:
The given problem will be solved through the Boyle's law,
"The volume of given amount of gas is inversely proportional to its pressure by keeping the temperature and number of moles constant"
Mathematical expression:
P₁V₁ = P₂V₂
P₁ = Initial pressure
V₁ = initial volume
P₂ = final pressure
V₂ = final volume
Now we will put the values in formula,
P₁V₁ = P₂V₂
100 mmHg × 80 mL = P₂ × 160 mL
P₂ = 8000 mmHg. mL/ 160 mL
P₂ = 50 mmHg
What is the approximate concentration of reaction product in a solution that has an absorbance of 0.7 at ph 6.0?
The approximate concentration of reaction product in a solution that has an absorbance of 0.7 at ph 6.0 is based on the equation A = εbc given in the passage, the concentration c is the absorbance A divided by the absorptivity ε in a 1 cm path length cell. 0.7 divided by approximately 1400 gives 500 μM.
A = εbc
0.7 = 1400 x c
7/14000 = 1/2000 = 0.0005 = 5x10^-4 = 500 μM
1 μM = 1 x10 ^-6
The concentration of a substance is the amount of solute present in a given volume of solution. Concentration is usually expressed in molarity, defined as the number of solutes in 1 L of solution. Solution concentration is a measure of the amount of solute dissolved in a given amount of solvent or solution.
Concentrated solutions are solutions that contain relatively large amounts of solutes. Dilute solutions are solutions that contain relatively small amounts of solutes. The definition of concentration means the amount of an ingredient or part relative to other ingredients or parts. An example of concentration is the amount of salt to water in a brine solution.
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What is your estimate of the strength for each clay type at 50% water content, with DI water as its pore fluid, and with brine in its pore fluid? - Is there a significant difference? If so, what physical mechanism do you think is causing the change in strength? What is the effect of salt on the shear strength of clays?
The physical mechanism causing the change in strength when using brine as the pore fluid is the presence of salt ions that weaken the interparticle bonds. Salt can reduce the shear strength of clays by increasing the repulsive forces between clay particles.
The strength of clay types at 50% water content can vary depending on whether DI water or brine is used as the pore fluid. Generally, there is a significant difference in strength between the two.
The presence of salt in brine can have an effect on the shear strength of clays. When salt is dissolved in water, it creates ions that can interact with the clay particles. These interactions can lead to the formation of electrical double layers around the clay particles, which can increase the interparticle repulsion and decrease the shear strength of the clay.
On the other hand, when DI water is used as the pore fluid, there is no presence of salt ions to affect the interparticle interactions. As a result, the clay particles can have stronger bonds and higher shear strength compared to when brine is present.
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A 322 g sample of lead (specific heat = 0.138 J/gºC) is placed into 264 g of water at 25°C. If
the system's final temperature is 46°C, what was the initial temperature of the lead?
Answer:
-6.31°C
Explanation:
To solve this problem, we can use the principle of heat transfer:The heat gained by the lead (q_lead) equals the heat lost by the water (q_water).The formula to calculate heat transfer is:
q = m * c * ΔTWhere:
q = heat transfer
m = mass
c = specific heat
ΔT = change in temperatureFor the lead:
q_lead = m_lead * c_lead * ΔT_leadFor the water:
q_water = m_water * c_water * ΔT_waterGiven values:
m_lead = 322 g
c_lead = 0.138 J/gºC
ΔT_lead = T_final - T_initial_lead (unknown)
m_water = 264 g
c_water = 4.18 J/gºC (specific heat of water)
ΔT_water = T_final - T_initial_water = 46°C - 25°C = 21°CSince the heat gained by the lead is equal to the heat lost by the water, we can set up the equation:
m_lead * c_lead * ΔT_lead = m_water * c_water * ΔT_waterSubstituting the given values:
322 g * 0.138 J/gºC * ΔT_lead = 264 g * 4.18 J/gºC * 21°CSimplifying the equation:
44.436 J/ºC * ΔT_lead = 2325.12 J/ºCDividing both sides of the equation by 44.436 J/ºC:
ΔT_lead = 2325.12 J/ºC / 44.436 J/ºC ≈ 52.31°CFinally, we can find the initial temperature of the lead:
T_initial_lead = T_final - ΔT_lead
T_initial_lead = 46°C - 52.31°C ≈ -6.31°CTherefore, the initial temperature of the lead was approximately -6.31°C.
what do you think will happen to the kidneys if any of these parts were damaged?
Answer:
When your kidneys are damage waste products and fluid can build up in your body. That can cause swelling in your ankles nausea weakness poor sleep and shortness of breath. so without treatement the damage can get worse and your kidney may eventually stop working.In human cells, a dynamic equilibrium exists between carbonic acid (H2CO3) and carbon dioxide (CO).
H2CO3(aq) = CO2() + H200
When a person exercises, the body's cells metabolize glucose to gain energy. This metabolism also causes an increase in the
concentration of carbon dioxide.
Le Chatelier's principle states that stresses applied to a system in dynamic equilibrium will cause the system to change in order to
alleviate those stresses. According to this principle, how would an increase in carbon dioxide concentration affect the system?
A. There would be a decrease in the concentration of carbonic acid.
В. There would be an increase in the concentration of glucose.
C. There would be an increase in the concentration of water.
There would be an increase in the concentration of carbonic acid.
D There would be an increase in the concentration of carbonic acid.
There would be an increase in the concentration of carbonic acid - this is how an increase in carbon dioxide concentration influences the system.
What is dynamic equilibrium?In chemistry, a dynamic equilibrium lives once a reversible reaction occurs. Substances transition between the reactants and products at equal rates, indicating there is no net change. Reactants and products exist formed at such a rate that the concentration of neither changes. It is a precise example of a system in a steady state. After a time, a reversible reaction in a closed system can get what we call a dynamic equilibrium.
The correct answer is option D.
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A flexible container has 5.00 L of nitrogen gas at 298 K. If the temperature is
increased to 333 K, what will be the new volume of that sample of nitrogen?
1) 0.179 L
2) 0.223 L
3) 4.47 L
4) 5.59
Answer: 5.59 L
Explanation: I'm pretty sure it's this. I just took this test and got it right. Hope this helps you out! :))
Answer:
5.59 L
Points earned on this question: 4
Explanation:
took the test
in lhasa, tibet, the elevation is 12,000 feet. the altimeter reading in an airplane is 18.7 in hg. what is this pressure in atm?
Altimeter is an instrument that measures the altitude of the land surface or any object such as an aeroplane.Pressure Altimeter measures Atmospheric pressure above the sea level.
Altimeter reading given in question = 18.7 inHg
To convert an inch of mercury(inHg) to atmospheric pressure(atm),the conversion factor between inches Hg to atm is:
{1 inHg = 0.0334211 atm }
so,
18.7 inHg = (0.0334211/1) × 18.7 atm
18.7 inHg = 0.62497457 atm
Therefore, atmosphere pressure is 0.62 atm
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Which of the following statements about a chemical reaction is false? Group of answer choices The phases in a chemical reaction tell us the state of the reactants and the products. An individual coefficient, with no reactant or product, in a balanced equation is meaningless. The subscripts in a balanced equation tell us the number of atoms in a molecule.
Answer:
Option B
Explanation:
Let us go through each of the options individually.
option A.
he phases in a chemical reaction tell us the state of the reactants and the products.
This is true because phases representations such as s, l , g and q tells us the state of the reactants if they are in the solid or liquid or gaseous or aqueous state of matter respectively. So this is not our answer.
option B
An individual coefficient, with no reactant or product, in a balanced equation is meaningless.
This option is correct, because in every reaction, there must be the reactant and product present.
option C
The subscripts in a balanced equation tell us the number of atoms in a molecule.
This is correct. Consider the equation below;
2H₂ + O₂ --> 2H₂O
In the reactant phase, the subscripts tells us that we have just two atoms of oxygen present.
the antihistamine piperoxan was synthesized using the reaction of catechol and epichlorohydrin in the presence of sodium page 708 hydroxide as the first step. write a mechanism for this reaction
The base will first cause one of the OH groups to deprotonate before the nucleophile (O⁻) attacks the epichlorohydrin.
What is sodium hydroxide is used for?Manufacturers use the chemical sodium hydroxide to create products including soap, viscose, paper, explosives, pigments, and petroleum. Other applications for sodium hydroxide include the processing of cotton fibers, metal cleansing and treatment, oxidation coating, plated, and electrochemical extract.
Briefing:A) The base will first cause one of the OH groups to deprotonate before the nucleophile (O⁻) attacks the epichlorohydrin.
B)The second OH group will once more deprotonate, and the H2 molecule will likewise be eliminated from the epichlorohydrin. Then, the nucleophile (O⁻) will attack the carbocation internally.
C)Alkyl halide hydrolysis produces primary alcohol.
D) Following another round of dehydrolysis, piperidine and carbocation react to produce piperoxan.
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Insoluble substances can dissolve in all solvents
True or false
Answer:
Not all substances dissolve in all solvents
Explanation:
In chemistry, a common rule for determining if a solvent will dissolve a given solute is "like dissolves like." Solvents composed of polar molecules, such as water, dissolve other polar molecules, such as table salt, while nonpolar solvents, such as gasoline, dissolve nonpolar substances such as wax. Some substances are strong enough to not dissolve.
How many grams of Pb would be required to make 119 g H2O? Pb+PbO2+2H2SO4=2PbSO4+2H2O. Pb: 207.2 g/mol. H20: 18.o2 g/mol
The amount, in grams of Pb that would be required to make 119 g of \(H_2O\) will be 685.17 grams.
Stoichiometric problemThe balanced equation of the reaction would be as follows:
\(Pb+PbO_2+2H_2SO_4--- > 2PbSO_4+2H_2O\)
The mole ratio of Pb to \(H_2O\) is 1:2.
Recall that, mole = mass/molar mass.
Molar mass of \(H_2O\) = 18 g/mol
Mole of 119 g of \(H_2O\) = 119/18 = 6.61 mol
From the established mole ratio, the equivalent mole of Pb that would be required will be:
1/2 x 6.61 = 3.31 mol
Mass = mole x molar mass
The molar mass of Pb is 207 g/mol
Mass of 3.31 mol Pb = 3.31 x 207
= 685.17 grams
In other words, the amount of Pb that would be required to make 119 g of \(H_2O\) according to the illustrated reaction will be 685.17 grams.
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Which group of elements is not usually reactive with any other elements?.
Answer: Nobel Gasses
Explanation:
true or false: radiation can be detected because of its green glow, intense heat, crackling sound and ammonia smell.
False.
Radiation itself does not typically have a green glow, intense heat, crackling sound, or ammonia smell. These descriptions do not accurately represent the properties of radiation.
The emission of energy in the form of particles or electromagnetic waves is referred to as radiation. Our senses cannot immediately notice it. Radiation is measured and detected using specialized apparatus and detectors.
Alpha particles, beta particles, gamma rays, and X-rays are a few examples of different forms of radiation that have unique characteristics and may be identified with the right tools. For instance, ionizing radiation is typically detected using Geiger-Muller counters or scintillation detectors, whereas radiation exposure is measured using dosimeters.
For precise radiation risk identification and protection, it's crucial to rely on the right detection tools and follow safety procedures.
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what is the process that is responsible for moving molecules from an area of high concentration to an area of low concentration? in what part of the circulatory system does this happen?
The process that is responsible for moving molecules from an area of high concentration to an area of low concentration is diffusion. The part of the circulatory system in which this happen is the alveoli.
Diffusion is a passive process of transport. A single substance tends to move from an area of high concentration to an area of low concentration until the concentration is equal across the space.
For example, someone is opening a bottle of perfume in a room filled with people. The perfume is at its highest concentration in the bottle and is at its lowest at the edges of the room. The perfume vapor will diffuse, or spread away, from the bottle, and gradually, more and more people will smell the perfume as it spreads.
In a process called diffusion, oxygen moves from the alveoli to the blood through the capillaries (tiny blood vessels) lining the alveolar walls.
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(Word equation) which of the four metals - aluminium, copper, lead and silver is the most reactive
Answer:
Aluminum
Explanation:
I just used the Reactivity Series chart :)
An object is traveling at a speed of 500.0 m/sec. How fast is that in km/hr?
Answer:
0.5km/hr
Explanation:
\(500.0 \div 1000\)
this is because to get from n to KM you have to divide by 1000
dose someone like to talk and will you help me to, if not we can talk
Answer:
wsppp
Explanation:
Answer:
hi.. (:
Explanation:
Find the lattice energy of MgH2(), how with a erie of tep when the Enthalpie of formation for calcium hydride i given a; (ΔHf = −75. 3 kJ/mol for MgH2)
the lattice energy of MgH2() is 2791 kJ/mol with a series of step when the Enthalpies of formation for calcium hydrided is given.
Do energies journal free?An article publishing charge (APC) is required of authors or research funders to cover publication costs in open access journals that do not charge subscription fees. This guarantees that everyone will be able to access your article promptly and without charge in the future.
Solution:
the lattice energy of MgH2() is :
ΔHf(−75. 3 kJ/mol ) =S+0.5D+IE+EA+U
ΔHf(−75. 3 kJ/mol )= 2791 kJ/mol
How good are MDPI journals?The papers published in MDPI Special Issues are of extremely high quality! When I published my research with MDPI (Energies Journal), it was a wonderful experience. Both the submission of the manuscript and the timing of publishing were excellent.
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If 3.9 moles of propane are at a temperature of 48oC and are under 150.2 kPa of pressure, what volume does the sample occupy?
Considering the ideal gas law, if 3.9 moles of propane are at a temperature of 48°C and are under 150.2 kPa of pressure, the volume is 69.25 L.
Definition of ideal gas lawAn ideal gas is a theoretical gas that is considered to be composed of randomly moving point particles that do not interact with each other. Gases in general are ideal when they are at high temperatures and low pressures.
The pressure, P, the temperature, T, and the volume, V, of an ideal gas, are related by a simple formula called the ideal gas law:
P×V = n×R×T
Where:
P is the gas pressure.V is the volume that occupies.T is its temperature.R is the ideal gas constant. The universal constant of ideal gases R has the same value for all gaseous substances. n is the number of moles of the gas. Volume in this caseIn this case, you know:
P= 150.2 kPa= 1.48236 atm (101.325 kPa= 1 atm)V= ?n= 3.9 molesR= 0.082 (atmL)/(molK)T = 48 °C= 321 KReplacing in the ideal gas law:
1.48236 atm×V = 3.9 moles× 0.082 (atmL)/(molK)× 321 K
Solving:
V = (3.9 moles× 0.082 (atmL)/(molK)× 321 K)÷ 1.48236 atm
V= 69.25 L
Finally, the volume is 69.25 L.
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Give the complete reaction scheme for the catabolism
of Oleoyl-CoA
The enzyme β-ketothiolase cleaves off the acetyl-CoA molecule from the 3-ketoacyl-CoA, releasing acetyl-CoA and the remaining fatty acid chain forms acyl-CoA, which is two carbons shorter than the original fatty acid chain.
The complete reaction scheme for the catabolism of Oleoyl-CoA is given below:Oleoyl-CoA is broken down into acetyl-CoA, releasing 150 ATP molecules by the process of Beta-oxidation. The complete reaction scheme for the catabolism of Oleoyl-CoA is given below:
Step 1: Oleoyl-CoA is transported to the mitochondria matrix from the cytoplasm with the help of the carnitine shuttle system.
Step 2: The enzyme Acyl-CoA dehydrogenase catalyzes the removal of two hydrogen atoms from the alpha and beta carbons in the fatty acid chain and oxidizes it. This process forms a double bond between the alpha and beta carbon atoms, leading to the formation of trans-Δ2-enoyl-CoA.
Step 3: The enzyme enoyl-CoA hydratase adds a water molecule to the trans-Δ2-enoyl-CoA, converting it into L-3-hydroxyacyl-CoA.
Step 4: The enzyme L-3-hydroxyacyl-CoA dehydrogenase oxidizes L-3-hydroxyacyl-CoA, releasing a hydrogen ion (H+) and two electrons (2e-) and converts it into 3-ketoacyl-CoA.
Step 5: The enzyme β-ketothiolase cleaves off the acetyl-CoA molecule from the 3-ketoacyl-CoA, releasing acetyl-CoA and the remaining fatty acid chain forms acyl-CoA, which is two carbons shorter than the original fatty acid chain.
The cycle starts again, and this process is repeated until the fatty acid chain is completely degraded.
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In a well-typed (normal) gene roat-Co genotyp while tne mutatea mCir gene esuits in dark coat-color phenotype: Based on your knowledge of the MCIR signaling pathway (Question 3}, cell signaling and the chemistry of the amino acid changes (Question 4}, write hypothesis for each of the following questions_ How could the two extracellular mutations lead to the dark phenotype? (Hint: Think bout the chemistry of the amino acids, particularly their charge ) How could the two intracellular mutations lead to the dark phenotype? (Hint: Think aboutthe chemistry of the amino acids, particularly their charge ) How does the wild-type McTr gene result in the light phenotype? (Hint: It might be helpful tothink of itas not resulting in the dark phenotype )
Based on our knowledge of the MCIR signaling pathway and cell signaling, we can hypothesize that the two extracellular mutations in the MCIR gene lead to the dark coat-color phenotype by affecting the interaction between MCIR and its ligand.
The extracellular domain of MCIR is responsible for binding to its ligand, and any changes in the amino acid sequence can alter the chemistry of the domain, affecting its ability to bind to the ligand. The charge of the amino acids in the extracellular domain can play a crucial role in the binding process, and mutations that result in a change in the charge of the amino acids can affect the binding affinity of the receptor for the ligand. As a result, the two extracellular mutations in the MCIR gene may lead to a decrease in binding affinity, causing the receptor to remain in an active state for a more extended period, resulting in the dark coat-color phenotype.
Similarly, we can hypothesize that the two intracellular mutations in the MCIR gene lead to the dark phenotype by altering the signaling pathway downstream of MCIR. The intracellular domain of MCIR is responsible for initiating the signaling cascade that leads to changes in the cell's physiology. Any changes in the amino acid sequence in this domain can affect the chemistry of the domain, altering the downstream signaling events. The charge of the amino acids in the intracellular domain can play a crucial role in protein-protein interactions and phosphorylation events, affecting the downstream signaling events. As a result, the two intracellular mutations in the MCIR gene may lead to alterations in the downstream signaling events, causing changes in the cell's physiology and resulting in the dark coat-color phenotype.
Finally, we can hypothesize that the wild-type MCIR gene results in the light phenotype by maintaining the balance between MCIR signaling and the signaling pathways downstream of other receptors. The MCIR signaling pathway is only one of several pathways involved in regulating coat-color, and the balance between these pathways determines the final coat-color phenotype. The wild-type MCIR gene may modulate the balance between these pathways, leading to the light coat-color phenotype.
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Which one is a single replacement reaction? (Whoever gets it correct first I’ll mark)
The equation that represents a single replacement reaction given the various options is 2Al(s) + 6HCl -> 2AlCl₃(aq) + 3H₂O(g) (option 2)
What is a single replacement reaction?A single replacement reaction, also known as single displacement reaction is a reaction in which elements higher in the electro-chemical series displace or replace elements lower in the electro-chemical series displace from a solution.
The following example illustrates single replacement reaction:
A + BC -> AC + B
From the above reaction, we can see that A has replace/displace B to from AC.
With the above information, we can determine the equation that represents single replacement reaction. Details below:
Equation from the questions:
2Al + 3Cl₂ -> 2AlCl₃2Al(s) + 6HCl -> 2AlCl₃(aq) + 3H₂O(g)2AlCl₃(aq) -> 2Al + 3Cl₂ AlCl₃ + 3KOH -> Al(OH)₃ + 3KClFrom the above, we can see that only 2Al(s) + 6HCl -> 2AlCl₃(aq) + 3H₂O(g) conform to single replacement reaction.
Thus, the correct answer to the question is: 2Al(s) + 6HCl -> 2AlCl₃(aq) + 3H₂O(g) (option 2)
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HELLLLLLP PLZ PLZ PLZ PLZ ASAP
Answer:
H
Explanation:
Answer:
H
Explanation:
Because an object in motion will stay in motion, unless acted upon by another object
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Which is a natural cause of soil erosion
Answer:
A natural and common cause of soil erosion is Water.
Explanation:
Water can carry away tiny soil particles.
Raindrops can impact the soil surface and can break down the aggregates in soil and scatter them. Thunderstorms with high intensity can contributes to a significant loss of soil in the long Term.
Water runoff is another cause of soil erosion and this occurs when water on a slope isn’t absorbed into the soil or becomes trapped on the surface.
Hope this helps!
For the balanced equation shown below, how many moles of O₂ will be produced, if 0.7784 moles of H₂O are produced? 2C4H10O2 + 1102-8CO2 + 10H₂0
0.85moles of O₂ will be produced, if 0.7784 moles of H₂O are produced for the given balanced equation.
What is balanced equation?A balanced equation is indeed a chemical reaction equation in which the overall charge and the amount of atoms for every element inside the reaction are the same for both the products and the reactants.
In these other terms, the mass as well as charge along both sides of both the reaction are balanced.
2C\(_4\)H\(_{10}\)O\(_2\)+ 11O\(_2\)→ 8CO\(_2\) + 10H₂O
moles of H₂O =0.7784 moles
the mole ratio between O\(_2\) and H₂O is 11:10
moles of O\(_2\) = (11/10)×0.7784 =0.85moles
Therefore, 0.85moles of O₂ will be produced, if 0.7784 moles of H₂O are produced.
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What is a poverty line?
PLEASE HELP ME RIGHT ANSWERS ONLY!!!!!!! 40 POINTS :)
What does the result table indicate about the solute in this solution
The result table indicate that A. The solute is a SOLID because it has a DECREASE in the amount dissolved as temperature decreases.
What is describes solubility?The solubility of a solid solute in a liquid solvent generally decreases as the temperature decreases. This is because the kinetic energy of the solute molecules decreases as the temperature decreases. As the kinetic energy of the solute molecules decreases, they are less likely to have enough energy to escape from the solution and enter the gas phase.
In the table, as the temperature decreases, the concentration of the solute in the solution decreases. This indicates that the solute is a solid and that the solubility of the solute decreases as the temperature decreases.
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If 613.28 mL of 2.744 M of aluminum hydroxide reacts with 10.35 g of ammonium persulfate in a chemical reaction. Find the pressure of the gas produced if you managed to collect 1536.70 mL of it at 42.455 °C. Show 2 decimal places.
The pressure of the gas produced is approximately 587.17 kPa.
How to find the pressure of the gasTo solve this problem, we first need to find the amount of gas produced by the reaction of aluminum hydroxide with ammonium persulfate, then use the Ideal Gas Law (PV = nRT) to calculate the pressure.
First, let's find the number of moles of ammonium persulfate by using the molar mass:
10.35 g ÷ (2 * (1 + 32 + 64 + 16)) g/mol = 0.108 mol
Next, let's find the number of moles of aluminum hydroxide:
613.28 mL * 2.744 M = 1692.04 mol
Now, let's assume that the reaction goes to completion and that all the aluminum hydroxide reacts with ammonium persulfate, so the number of moles of gas produced will be equal to the number of moles of ammonium persulfate:
0.108 mol
Finally, we can use the Ideal Gas Law to calculate the pressure:
P = (n * R * T) / V
where n = 0.108 mol, R = 8.31 J/mol K, T = (42.455 + 273.15) K, and V = 1536.70 mL * 10^-3 L
P = (0.108 * 8.31 * (42.455 + 273.15)) / (1536.70 * 10^-3)
P = (0.108 * 8.31 * 315.605) / (1.5367)
P = 905.752 / 1.5367
P = 587.17 kPa
So, the pressure of the gas produced is approximately 587.17 kPa.
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You have a stock solution of 12 m hcl. How much of this stock solution should you take to prepare 0. 75 l of 0. 25 m hcl?.
To prepare 0.75 L of 0.25 M HCl from a stock solution of 12 M HCl, 15.625 mL of the stock solution should be taken.
To determine the amount of the stock solution needed to prepare the desired solution, we can use the dilution formula:
M1V1 = M2V2
where,
M1 = concentration of the stock solution
V1 = volume of the stock solution
M2 = desired concentration of the diluted solution
V2 = volume of the diluted solution
Now, plug in the values given in the problem:
M1 = 12 M
V1 = ?
M2 = 0.25 M
V2 = 0.75 L (750 mL)
Next, solve for V1:
M1V1 = M2V2
V1 = (M2V2) / M1V1 = (0.25 mol/L x 0.75 L) / 12 mol/LV1 = 0.015625 L (15.625 mL)
This is the volume of the stock solution required to make the 0.75 L of 0.25 M HCl. However, this is not the final answer since we need to find the volume of the 12 M HCl required. To do this, we need to use the formula:
M1V1 = M2V2
where,
M1 = concentration of the stock solution
V1 = volume of the stock solution
M2 = desired concentration of the diluted solution
V2 = volume of the diluted solution
Now, plug in the values that we know:
M1 = 12 M
V1 = ?
M2 = 12 M
V2 = 0.015625 L
Next, solve for V1:
M1V1 = M2V2
V1 = (M2V2) / M1V1 = (12 mol/L x 0.015625 L) / 12 mol/LV1 = 0.015625 L (15.625 mL)
Therefore, 15.625 mL of the stock solution should be taken to prepare 0.75 L of 0.25 M HCl.
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