Answer:
The answer is 9.0 kg/LExplanation:
The density of a substance can be found by using the formula
\(density = \frac{mass}{volume} \\ \)
From the question
mass = 1.8 kg
volume = 0.2 L
We have
\(density = \frac{1.8}{0.2} \\ \)
We have the final answer as
9.0 kg/LHope this helps you
Answer:
knkjhhg
Explanation:
Name the following covalent molecules:
SeF
Answer:
do you mean DeF?
Explanation:
Suppose the interaction between two atoms by the Lennard-Jones potential: ULJ = B/r^12 - A / r^6 where the values of A and B are known to be A = 10^-77 J x m^6 and B = 10^-134 J x m^12.
What does the Lennard-Jones potential predict for the separation r=r eq
hen the energy is at the minimum (equilibrium) value, U min. What is the u min fot this interaction at T=298 K ? What is the ratio of U min to the purely attractive van der Waals component of the interaction potential at r eq.
What is the ratio of r eq to r 0 defined by u(r 0 )=0. 4. What is the ratio of r s to r 0 , where r s is the separation where the magnitude of the (attractive adhesion) force is maximum, F max . What is the value for F max between the two atoms?
a) The Lennard-Jones potential predicts the separation r_eq at the minimum energy U_min.
b) The U_min for this interaction at T=298 K is the value obtained from the Lennard-Jones potential equation when r=r_eq.
c) The ratio of U_min to the purely attractive van der Waals component of the interaction potential at r_eq can be calculated by comparing the attractive part (-A/r^6) to the total potential energy U_min.
d) The ratio of r_eq to r_0, where u(r_0)=0.4, can be determined by finding the value of r_eq where the potential energy is equal to 0.4 times the total potential energy at r=r_0.
e) The ratio of r_s to r_0, where r_s is the separation where the magnitude of the attractive adhesion force is maximum, can be determined by finding the value of r where the derivative of the potential energy with respect to r is equal to zero.
f) The value of F_max between the two atoms can be obtained by taking the negative derivative of the potential energy equation with respect to r and evaluating it at r=r_s.
a) The Lennard-Jones potential provides information about the relationship between energy and separation between two interacting atoms.
At the minimum energy (U_min), the potential predicts the separation r_eq, which corresponds to the equilibrium distance between the atoms. This is the distance at which the energy of the system is at its lowest point.
b) To determine the value of U_min at a given temperature (T=298 K), you can substitute the equilibrium separation r_eq into the Lennard-Jones potential equation and calculate the resulting energy value.
This will give you the U_min for the interaction.
c) The Lennard-Jones potential consists of two components: an attractive component (-A/r^6) and a repulsive component (B/r^12).
The ratio of U_min to the purely attractive van der Waals component of the interaction potential at r_eq can be calculated by comparing the magnitude of the attractive component to the total potential energy at the equilibrium separation.
This ratio provides insights into the relative contribution of the attractive force to the overall potential energy at equilibrium.
d) The ratio of r_eq to r_0 can be determined by finding the value of r_eq where the potential energy is equal to 0.4 times the total potential energy at r=r_0.
In other words, you need to solve the Lennard-Jones potential equation for r_eq when the potential energy is equal to 0.4 times the potential energy at r=r_0.
e) The ratio of r_s to r_0 is obtained by finding the value of r where the magnitude of the attractive adhesion force is maximum.
This can be determined by finding the separation r where the derivative of the potential energy equation with respect to r is equal to zero.
The value of r_s represents the separation at which the attractive force between the atoms is strongest.
f) The value of F_max between the two atoms can be obtained by taking the negative derivative of the Lennard-Jones potential energy equation with respect to r and evaluating it at r=r_s.
This will give you the magnitude of the maximum attractive adhesion force between the atoms.
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A cast iron pipe used as a water main for a home has an outer diameter of 11 in. If the pipe has a thickness of 0.45 in, what volume of iron does 20 in of pipe contain
The volume of iron contained in 20 in of the cast iron pipe is approximately 251.33 cubic inches.
How to calculate volume?
To calculate the volume of iron, we need to consider the cylindrical shape of the pipe. The volume of a cylinder can be determined using the formula: Volume = π * (radius²) * height
Given the outer diameter of the pipe as 11 in and the thickness as 0.45 in, we can calculate the inner diameter (diameter - 2 * thickness) and radius (inner diameter / 2) of the pipe:
Inner diameter = 11 in - 2 * 0.45 in = 10.1 in
Radius = 10.1 in / 2 = 5.05 in
The height of the pipe is given as 20 in.
Substituting the values into the volume formula:
Volume = π * (5.05 in)² * 20 in
Volume ≈ 251.33 cubic inches
Therefore, the volume of iron contained in 20 in of the cast iron pipe is approximately 251.33 cubic inches.
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Which of the following is an example of a zoonotic bacterial disease?
O Anthrax
O Foot and Mouth Disease
O Chronic Wasting Disease
O Kuru
Answer:
I think it is Anthrax. You are welcome
Define cooperativity and how it relates to the T and R states.
Cooperativity refers to the phenomenon where the binding of a ligand (such as oxygen) to one subunit of a protein molecule (such as hemoglobin) influences the binding of additional ligands to the other subunits of the same protein molecule.
Cooperativity is related to the T and R states because the binding of a ligand to one subunit of an allosteric protein can affect the conformation of other subunits and shift the protein from one state to another.
In the case of hemoglobin, the binding of oxygen to one subunit induces a conformational change in the protein that increases its affinity for oxygen, making it easier for additional oxygen molecules to bind. This conformational change is referred to as the transition from the T state (the low-affinity state) to the R state (the high-affinity state). As more oxygen molecules bind to hemoglobin, the protein becomes progressively more stabilized in the R state, which increases its oxygen-binding capacity.
Conversely, as oxygen is released from hemoglobin, the protein shifts back to the T state, which decreases its oxygen-binding capacity. The phenomenon of cooperativity is important for the efficient transport of oxygen by hemoglobin and for the regulation of oxygen delivery to tissues throughout the body.
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What happens to unstable nuclei? (Select all that apply.)
1. They decay into more stable nuclei.
2. Their mass decreases by 50% with each half-life.
3. They emit radiation.
4. They combine to form more stable nuclei.
The activities which occurs in unstable nucleus from the above choices are:
They decay into more stable nuclei.Their mass decreases by 50% with each half-life.They emit radiation.They combine to form more stable nuclei.The correct answer choices are all 1, 2, 3 and 4.
How unstable nucleus decay into more stable nucleusIt follows that unstable nucleus usually, frequently and most of the time emit radiation and when this occur, it results to decay of substances.
From the task given above, it is crystal clear that that all the choices given above are happenings which occur when an unstable nucleus undergoes radioactive decay.
So therefore, we can now confirm that the nucleus of unstable atoms does decay into more stable nucleus.
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Why do gases released by incinerators cause problems
Answer:
Waste incineration is one of many societal applications of combustion. ... Municipal solid-waste furnace designs have evolved over the years from ... To achieve complete combustion, gases produced must remain in the ... do not suffer rapping re-entrainment and dust layer back-corona problems associated with dry ESPs.
Explanation:
2. What is the molar mass of PCls?
In each equation, how is the mass number on the left side of the arrow related to the sum of mass numbers on the right side of the arrow? Is this true for atomic numbers?
Answer:
yes true
Explanation:
MASS OF REACTANT SIDE = MASS OF PRODUCT SIDE
In the chemical equation the number of atoms of each of the elements are equal on both the sides of arrow as it follows the law of conservation.
What is a chemical equation?The chemical equation is given as the reaction with the reactants reacting, resulting in the formation of the products. The stoichiometric coefficient in the balanced chemical reaction determines the moles of reactant and products involved in the reaction.
The left side of the arrow consisted of the number of reactants, and the right side of the arrow consisted of the number of products.
The balanced chemical equation follows the law of conservation, and thereby the number of products and the reactants atoms at both the side of the arrow are equal.
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(b) Describe how Aluminium chloride can be separated from a mixture of aluminium chloride
and sodium chloride
Answer:
Since AlCl3 sublimes and NaCl does not sublime sublimation process will separate the two. Heat the mixture, aluminium chloride sublimes into vapour and forms the sublimate on the cooler parts of heating tube sodium chloride will remain at the bottom of the heating tube.
Explanation:
I hope it helps you ..
what sort of plot would you have obtained if fractional distillation had given you a complete separation of component
Firstly till 5mL temperature remains constant then suddenly rise in temperature and then again constant.
What is fractional distillation?
Fractional distillation is a type of distillation process that separates a mixture of liquids into its individual components (or fractions) based on their boiling points. This process is commonly used in the petrochemical and oil refining industries to separate large volumes of crude oil into more useful fractions. The process takes advantage of the differences in boiling points of the various components of the mixture, which can vary widely. The process begins by heating the mixture to a temperature where at least one of the components will vaporize. The vapor is then collected and condensed back into the liquid phase. This process is repeated until all of the desired components are collected. This method of separation is extremely efficient and cost-effective compared to other methods, such as liquid-liquid extraction or chromatography.
To see the graph please refer attached file
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a disadvantages of hopfield neural networks is that their structure cannot be replicated on an electronic circuit board.
One disadvantage of Hopfield neural networks is that their structure can be challenging to replicate on an electronic circuit board due to their complex connections and recurrent architecture.
One of the main disadvantages of Hopfield neural networks is their inability to be easily implemented on an electronic circuit board. This is due to their complex structure, which involves a large number of interconnected neurons and synapses. Unlike simpler neural networks, such as feedforward networks,
Hopfield networks require a significant amount of hardware and memory resources to be implemented in an electronic circuit board. This makes them less suitable for applications where size and power consumption are critical factors, such as mobile devices or embedded systems.
Additionally, the complexity of Hopfield networks makes them harder to train and optimize compared to other types of neural networks, which can limit their effectiveness in certain applications. This limitation may restrict their practical applications in hardware-based implementations.
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Which is a NOT a freshwater source on Earth?
A. The ocean
B. The atmosphere
C. Surface water
D. Groundwater
Answer:
B the atmosphere it's not on earth and I'm pretty sure the atmosphere doesn't have water in
Explanation:
I need help will give 5 stars please
Answer:
The answer is "The first choice".
Explanation:
The single moving process is defined as its reaction where very describe events in its chemical process substitutes much fewer activities shall. Able to follow was its chemical formula with a displacement reaction:
\(\to \bold{B+ XC \longrightarrow BX +C }\)
In this, the element value of A more sensitive than element C.
Nonmetals are also the components which generate electrodes and achieve a negatively charged named anions.
As for chemistry response:
\(\to \text{ Non-metal + Ionic compound} \longrightarrow \text{Non-metal + Ionic compound}\)
As there is no metal from either reactant side, ions are therefore unique throughout the chemical process.
For example, sodium due to temperature's response is accompanied by the following equation:
It's a correct answer, because "It is a single substitution reaction, and the anions are different in both ion compounds".
How many grams of ethanol (C2H60) are required to produce 1,000
kJ during boiling? The heat of vaporization of ethanol is 38.6 kJ /
mole. Round to a whole number
16.95g is the mass of ethanol (C2H60) that are required to produce 1,000 kJ during boiling? The heat of vaporization of ethanol is 38.6 kJ / mole.
The most fundamental characteristic of matter is mass, which is one of the basic quantities in physics. Mass is a term used to describe how much matter is there in a body. The kilogramme (kg) is the international standard of mass. A nuclear reaction, for instance, results in the total weight of the substance being reduced as a tiny quantity of matter is transformed into a very large amount of energy.
moles of ethanol = 38.6/ 1,000=0.368moles
molecular weight of ethanol =46.07g/mol
mass = 0.368×46.07
= 16.95g
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Water 3.0 deals mainly with sewage treatment.
Describe which chemicals are currently not broken down by currently
used wastewater technologies and why that is important.
Water 3.0 deals mainly with sewage treatment. The primary aim of this project is to reduce the harmful impacts of chemical pollutants from industrial and agricultural activities on natural water resources.
Currently, used wastewater treatment technologies can break down some of the chemicals in wastewater but not all of them. Chemicals that are not broken down are referred to as persistent organic pollutants. These chemicals persist in the environment for long periods, and they can cause severe damage to aquatic life and human health.
Currently, the primary challenge facing water treatment technologies is the removal of persistent organic pollutants such as pesticides, pharmaceuticals, and endocrine-disrupting chemicals from wastewater.
These pollutants are generally water-soluble and resist microbial degradation, making them hard to remove from wastewater using current water treatment technologies. For example, conventional activated sludge treatment used in wastewater treatment plants does not remove some persistent organic pollutants from wastewater.
Failure to remove these pollutants from wastewater can have significant environmental and health impacts.
For example, pharmaceutical chemicals can cause antibiotic resistance, while endocrine-disrupting chemicals can cause birth defects, cancer, and other health problems.
Therefore, there is a need to improve wastewater treatment technologies to remove persistent organic pollutants from wastewater.
In conclusion, wastewater treatment technologies can break down some chemicals but not all. Chemicals that are not broken down are persistent organic pollutants and pose a significant risk to the environment and human health. Therefore, it is important to develop wastewater treatment technologies that can remove these pollutants from wastewater.
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1. what type of polymer would you obtain if sorbital (a sugar alcohol found in sugar free gum) was used as a plasticizer addictive?
2a. Starch-borate and starch-glycerol polymers have been used for encapsulation of pharmaceutical drugs or pesticides. Explain what effect ths might have and why it would be beneficial.
2b. Are these polymers considered to be biodegradable? why or why not?
1. The type of polymer that would you obtain if sorbitol is a polyol.
2a. The use of starch-borate and starch-glycerol polymers for the encapsulation of pharmaceutical drugs or pesticides would have a number of beneficial effects.
2b. Yes, these polymers are considered to be biodegradable.
1. The type of polymer that would you obtain if sorbitol (a sugar alcohol found in sugar-free gum) was used as a plasticizer additive is a polyol. This is because sorbitol is a polyol, which is a substance used to modify the properties of polymers. The process of polymer modification involves adding polyols to the polymer matrix, which helps to reduce the glass transition temperature of the polymer. Sorbitol can be used as a plasticizer addictive because it is a natural and non-toxic compound that is biodegradable.
2a. The use of starch-borate and starch-glycerol polymers for the encapsulation of pharmaceutical drugs or pesticides would have a number of beneficial effects. These polymers are natural and non-toxic, and they are biodegradable, which means that they do not pose a risk to the environment. Additionally, they can be used to modify the properties of the drugs or pesticides, making them more effective and reducing their toxicity.
2b. Yes, these polymers are considered to be biodegradable. This is because they are made from natural materials that can be broken down by biological processes. Starch-borate and starch-glycerol polymers are particularly attractive for use in biodegradable materials because they are non-toxic and biocompatible. They can be used in a variety of applications, including packaging materials, agricultural films, and medical devices, where their biodegradability is an important factor.
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Conduct a survey of 5-7 people in your locality to know the usage of plastic bags and awareness to among people regarding their usage
The usage of plastic bags and the level of awareness among people in your locality. Summarize the findings in a report or presentation, highlighting key findings and any recommendations for promoting sustainable alternatives to plastic bags.
As an AI language model, I don't have direct access to real-time data or the ability to conduct surveys. However, I can provide you with a general framework for conducting a survey on the usage of plastic bags and awareness among people. Here are the steps you can follow:
Define your survey objectives: Determine the specific information you want to gather about the usage of plastic bags and people's awareness. This will help you design appropriate survey questions.
Create survey questions: Develop a set of questions that capture the key aspects you want to investigate. These may include questions about the frequency of plastic bag usage, reasons for using or not using them, knowledge about the environmental impact, and willingness to adopt alternatives.
Determine the sample size: Decide on the number of respondents you want to survey. Aim for a sample size that provides a representative perspective of your locality, but keep in mind the practicalities of reaching out to and collecting responses from the selected participants.
Select participants: Randomly select or identify individuals within your locality to participate in the survey. Consider diversifying the sample to include people of different ages, occupations, and backgrounds for a more comprehensive understanding.
Draw conclusions and report findings: Based on the analyzed data, draw conclusions about the usage of plastic bags and the level of awareness among people in your locality. Summarize the findings in a report or presentation, highlighting key findings and any recommendations for promoting sustainable alternatives to plastic bags.
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how many moles of H2 are required to make 10 moles of water?
Explanation:
10 moles h20 is required
10 moles of H₂ are required to make 10 moles of H₂O.
What is Stoichiometry ?Stoichiometry is an important concept which helps us use the balanced chemical equation to measures the amount of reactants and products.
What is Balanced Chemical equation ?A balanced chemical equation is chemical equation that has equal number of atoms on both sides of arrow that is reactant and product.
First we have to write the Balanced chemical equation
2H₂ + O₂ → 2H₂O
To produce 2 moles of water, 2 moles of hydrogen are required to produce 10 moles of water.
So,
\(\frac{2\ \text{moles of}\ H_2}{2\ \text{moles of}\ H_2O}\) × 10 moles of H₂O
= 10 moles of hydrogen are required.
Thus, from above conclusion we can say that 10 moles of H₂ are required to make 10 moles of H₂O.
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Calculate the heat capacity of 1,343 g of lead, given that 45 j is needed to raise the temperature by 29. 8 ∘c.
The specific heat of the lead is found to be 0.0011 J/C
The heat capacity is the measure of the substance that how much amount of heat is required to raise the temperature of the body by 1 degree Celsius.
The Heat change is given by,
Q = mcT
Where,
Q id the heat change,
c is the heat capacity of the,
m is the mass of the body,
T is the change in temperature.
Mass of the lead is 1343 grams and the change in temperature and heat is 29.8 degree Celsius and 45J respectively.
Putting values,
c = 45/(29.8x1343)
c = 0.0011 Joules per degree Celsius.
Hence, the specific heat is 0.0011 J/C.
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Answer:
1.5 j/degrees C
Explanation:
500. ML of 0. 200 M HCl solution needs to be dilutied to 0. 150 M solution. How many mL water needs to be added?
To dilute the 0.200 M HCl solution to 0.150 M solution, 166.67 mL of water is needed to be added to the solution.
To dilute a solution, we can use the dilution equation:
M₁V₁ = M₂V₂
where M₁ and V₁ are the initial molarity and volume of the solution, and M₂ and V₂ are the final molarity and volume of the solution after dilution.
In this case, we are given M₁ = 0.200 M, V₁ = 500 mL, and M₂ = 0.150 M. We need to solve for V₂ to find the final volume of the solution after dilution, and then subtract V₁ from V₂ to find the amount of water that needs to be added.
0.200 M × 500 mL = 0.150 M × V₂
V₂ = (0.200 M × 500 mL) / 0.150 M
V₂ = 666.67 mL
So, the final volume of the solution after dilution should be 666.67 mL.
To find the amount of water that needs to be added, we can subtract the initial volume from the final volume:
666.67 mL - 500 mL = 166.67 mL
Therefore, we need to add 166.67 mL of water to the 500 mL of 0.200 M HCl solution to dilute it to a 0.150 M solution.
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At a certain temperature, SO,(9) and (o) react to produce SO, (s) according to the chemical equation shown above. An evacuated rigid vessel is originally filled with SO, () and O.), each with a partial pressure of 1 atm. Which of the following is closest to the partial pressure of 0,9) after the system has reached equilibrium, and why? A) O atm because K, is very large, nearly all the SO, () and 0,6) are consumed before the system reaches equilibrium B) 0.5 atm, because K is very large, nearly all the SO, () is consumed before the system reaches equilibrium, but an excess amount of O,() remains at equilibrium C) 1 atm, because K, is very large, the system is already near equilibrium, and there will be very little change to the partial pressure of O,G). increases the amount of O,Co) tequilibrium D) 1.5 atm because K, is very lwg, the decomposition of any so, (o) that for
The closest to the partial pressure of O₂ after the system has reached equilibrium is 0.5 atm, because K is very large, nearly all the SO₂ is consumed before the system reaches equilibrium, but an excess amount of O₂ remains at equilibrium. the correct answer is B.
Chemical equilibrium is the condition in which the concentrations of the reactants and products are equal and have no further tendency to fluctuate over time, with no discernible change in the features of the system.
The equilibrium moves to the side of the reaction where there are less moles of gas as the pressure increases. When the pressure decreases, the equilibrium moves to favor the reaction that produces more gas molecules.
Partial pressure is inversely proportional to volume, according to the ideal gas law. Additionally, it correlates with both the temperature and the amount of moles.
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If carbon was the most common element found in the moons and planets, what element is
missing that would make them similar to Earth?
SHOW WORK
Calculate the morality
10.0 g of sodium chloride is dissolved in 2.0 L of solution.
The picture above shows a frying pan. Why are frying pans usually made out of metal?
Answer: The frying pan is made up of metals like aluminium or stainless steel as these metals are good conductor of heat.
Answer:
b. they are good conductors of heat
Explanation:
study island
Calculate the value of ΔG∘rxnΔGrxn∘ for hypochlorous acid at 296 K. Ka = 2.9 × 10–8 and assume Ka does not change significantly with temperature. $$HClO(aq)+H2O(l) HClO−(aq)+H3O+(aq)
The standard Gibbs free energy change (ΔG∘rxn) for the reaction involving hypochlorous acid (HClO) at 296K is determined using ΔG∘rxn =-RTln(K), where R is the gas constant, T is the temperature in K.
To calculate ΔG∘rxn, we use the equation ΔG∘rxn = -RTln(K), where R is the gas constant (8.314 J/(mol·K)) and T is the temperature in Kelvin. In this case, the equilibrium constant (K) is determined by the acid dissociation constant (Ka) for HClO. The equilibrium constant expression for the reaction is K = [HClO−][H3O+]/[HClO].
Given that Ka = 2.9 × 10^–8, we substitute this value into the K expression. Next, we calculate ΔG∘rxn using the given temperature of 296 K. By plugging in the values into the equation ΔG∘rxn = -(8.314 J/(mol·K))(296 K)ln(2.9 × 10^–8) and evaluating the expression, we can determine the value of ΔG∘rxn for the reaction involving HClO at 296 K.
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glycosides are monosaccharides with an alkoxy group bonded to the . select 2. glycosides are hydrolyzed with acid and water to . select 3. monosaccharides that differ in configuration at the hemiacetal oh group are called .
Glycosides are monosaccharide that is bonded to another non-sugar molecule through an alkoxy group. glycosides are hydrolyzed with acid and water to sugar molecules and the non-sugar molecule.
This alkoxy group can be a variety of different organic molecules, such as an alcohol or an ether. The resulting molecule is referred to as a glycoside, and it can have a wide range of biological functions, including acting as an energy source for the body or as a signaling molecule for cellular communication. One important characteristic of glycosides is their susceptibility to hydrolysis under acidic conditions. When exposed to an acidic environment, glycosides can be broken down into their constituent parts, which include the sugar molecule and the non-sugar molecule. This process is known as hydrolysis, and it is an important step in the metabolism of carbohydrates in the body.
Monosaccharides are the simplest form of carbohydrates, and they are the building blocks of more complex sugars such as disaccharides and polysaccharides. Monosaccharides differ in their chemical structure depending on the number and arrangement of their constituent atoms. One way in which monosaccharides can differ is in their configuration at the hemiacetal OH group. Monosaccharides that differ in this way are referred to as epimers, and they can have different biological properties as a result.
In summary, glycosides are a type of organic compound that consist of a sugar molecule bonded to another molecule through an alkoxy group. They are susceptible to hydrolysis under acidic conditions, and monosaccharides that differ in configuration at the hemiacetal OH group are called epimers. Understanding these concepts is important for understanding the chemistry and biology of carbohydrates in the body.
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A 75. 00 g sample of a substance is analyzed and found to consist of 32. 73 g phosphorus and 42. 27 g oxygen. Calculate the percent composition of this substance
The percent composition of the substance is 43.64% phosphorus and 56.36% oxygen.
The percent composition of a substance represents the relative amount of each element in the substance by mass. In this problem, we are given the mass of phosphorus and oxygen in a 75.00 g sample of the substance.
The percent composition of the substance can be calculated by dividing the mass of each element by the total mass of the substance and multiplying by 100%.
% P = (mass of P / total mass of substance) x 100% = (32.73 g / 75.00 g) x 100% = 43.64%
% O = (mass of O / total mass of substance) x 100% = (42.27 g / 75.00 g) x 100% = 56.36%
Therefore, the percent composition of the substance is 43.64% phosphorus and 56.36% oxygen.
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Temperature Effect on Drug Degradation: Arrhenius Equation
Temperature effect on the degradation of a multisulfa preparation was evaluated at 60 and 70°C. If the first-order reaction rate constants responsible for the degradation at these two temperatures were 8.2 x 10-4 and 1.96 x 10-3 hr-1, respectively, answer the following TWO questions.
Calculate the frequency factor, A, for the degradation of this drug within this temperature range (in hr-1).
How much drug (in mg/mL) will be left at 15 min?
The amount of drug (in mg/mL) that will be left at 15 minutes is 0.995 mg/mL
Given data:
First order reaction rate constants at 60°C, k₁ = 8.2 x 10⁻⁴ hr⁻¹
First order reaction rate constants at 70°C, k₂ = 1.96 x 10⁻³ hr⁻¹
Arrhenius Equation is given by;
k = Ae(-ᴱᵃ/ᴿᵀ)
where k is rate constant, A is frequency factor, Ea is activation energy, R is gas constant, and T is temperature.
We can solve for A as;
ln k = ln A - Ea/R
Taking antilog;
e^(lnk) = A e^(-Ea/RT)
A = k/e^(-Ea/RT)
A = k e^(Ea/RT)
The frequency factor A for the degradation of the drug within this temperature range (in hr⁻¹) can be calculated as follows;
From the given data;
k₁ = 8.2 x 10⁻⁴ hr⁻¹
k₂ = 1.96 x 10⁻³ hr⁻¹
R = 8.31 J K⁻¹ mol⁻¹
T₁ = 60°C = 333K;
T₂ = 70°C = 343K
A = ?
We can find the activation energy (Ea) as follows;
ln(k₂/k₁) = -Ea/R(1/T₂ - 1/T₁)
ln(1.96 x 10⁻³/8.2 x 10⁻⁴) = -Ea/(8.31)(1/343 - 1/333)
Ea = 88.6 kJ/mol
Now, we can use the value of Ea and the temperature to solve for A as follows;
A = k e(ᴱᵃ/ᴿᵀ)
A₁ = k₁ e(ᴱᵃ/ᴿᵀ₁)
A₂ = k₂ e(ᴱᵃ/ᴿᵀ₂)
A₁/A₂ = e(ᴱᵃ/ᴿ)(¹/ᵀ₂ - ¹/ᵀ₁)
A₁/A₂ = e(⁸⁸.⁶ × ¹⁰³ ᴶ/ᵐᵒˡ/⁸.³¹ ᴶ ᴷ⁻¹ ᵐᵒˡ⁻¹)(¹/³⁴³ᴷ - ¹/³³³ᴷ)
A₁/A₂ = 1.66
A₂ = k₂ A₁/A₂
= (1.96 x 10⁻³) × (1/1.66)
A₂ = 1.18 x 10⁻³ hr⁻¹
The frequency factor A is 1.18 × 10⁻³ hr⁻¹.
To find the remaining amount of drug at 15 minutes, we can use the first-order rate equation as follows;
ln [A]t/[A]₀ = -kt
where [A]t and [A]₀ are the concentration at time t and initial concentration respectively and k is the first order rate constant.
We can solve for [A]t as follows;
ln ([A]t/[A]₀) = -kt[A]
t = [A]₀ e(-ᵏᵗ)
Taking t = 15 minutes
= 0.25 hour
We have [A]₀ = 1mg/mL
k = 1.96 x 10⁻³ hr⁻¹
[A]t = [A]₀ e(-ᵏᵗ)
[A]t = 1 x e(-(¹.⁹⁶ ˣ ¹⁰⁻³)(⁰.²⁵))
= 0.995 mg/mL (approximately)
Therefore, the amount of drug (in mg/mL) that will be left at 15 minutes is 0.995 mg/mL (approximately).
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In which of the following reactions do you predict an increase in entropy (a positive ΔS)?2ClF3(l) + 2 O2(g) → Cl2O(g) + 3OF2(g)2ClF(g) + O2(g) → Cl2O(g) + OF2(g)PCl3(g) + Cl2(g) → PCl5(g)No answer text provided.Si(s) + 2Cl2(g) → SiCl4(g)
In the reaction Si(s) + 2Cl2(g) → SiCl4(g), we predict an increase in entropy (a positive ΔS). Therefore, the reaction results in an increase in entropy (a positive ΔS).
Entropy is a measure of the disorder or randomness of a system. When the number of particles or molecules in a system increases, the entropy of the system also increases. In the given reaction, we start with solid silicon (Si) and two molecules of chlorine gas (Cl2), which have a lower degree of randomness compared to the products. The products, silicon tetrachloride (SiCl4) and two molecules of chlorine gas (Cl2), have more particles and a higher degree of randomness.
Entropy increases when there is an increase in the number of particles or the disorder of the system. In this reaction, there are four reactant particles (2ClF3 and 2 O2) and four product particles (1 Cl2O and 3 OF2). However, the reactants include a liquid phase (2ClF3), while all the products are in the gas phase. Since gases have higher entropy than liquids due to increased freedom of movement, this reaction results in an increase in entropy.
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