(a) The percent yield is greater than 100%, indicating errors in the experimental procedure.
(b) Mass of ZnO = 1.27 mol ZnO x 81.39 g/mol ZnO = 103.4 g ZnO
Mass of SO₂ = 0.102 mol SO₂ x 64.06 g/mol SO₂= 6.54 g SO₂
What is chemical reaction?A chemical reaction is a process in which one or more substances are transformed into new substances with different properties through the breaking and forming of chemical bonds.
(a) First, we need to balance the chemical equation:
Zn(s) + S₈(s) → ZnS(s)
From the given masses, we can find the limiting reactant:
83.2 g Zn / 65.38 g/mol Zn = 1.27 mol Zn
52.4 g S₈ / 256.48 g/mol S₈ = 0.204 mol S₈
amount of limiting reactant:
0.204 mol S₈ x (1 mol ZnS / 1 mol S₈) x (97.47 g ZnS / 1 mol ZnS) = 19.8 g ZnS
The percent yield is calculated as:
(actual yield / theoretical yield) x 100% = (108.3 g ZnS / 19.8 g ZnS) x 100% = 546%
(b) The balanced chemical equations for the reaction of Zn and S8 with oxygen are:
2 Zn(s) + 3 O₂(g) → 2 ZnO(s)
S₈(s) + 4 O₂(g) → 2 SO₂(g)
We have already found that all the Zn and S8 are consumed, so the amount of each oxide formed depends on the amount of oxygen available.
Moles of O₂ used for ZnO formation:
(1.27 mol Zn) / (2 mol Zn) x (3 mol O₂) = 1.905 mol O₂
Moles of O₂ used for SO₂ formation:
(0.204 mol S₈) / (4 mol S₈) x (4 mol O₂) = 0.204 mol O₂
The moles of each oxide formed can now be calculated from the moles of O₂ used:
Moles of ZnO formed:
(2 mol ZnO / 3 mol O₂) x (1.905 mol O₂) = 1.27 mol ZnO
Moles of SO₂ formed:
(2 mol SO₂ / 4 mol O₂) x (0.204 mol O₂) = 0.102 mol SO₂
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What volume of CO2(g), measured at STP is produced if 15.2 grams of CaCO(s) is heated?
Answer:
Volume = 3.4 L
Explanation:
In order to calculate the volume of CO₂ produced when 15.2 g of CaCO₃ is heated, we need to first write out the balanced equation of the thermal decomposition of CaCO₃:
CaCO₃ (s) + [Heat] ⇒ CaO (s) + CO₂ (g)
Now, let's calculate the number of moles in 15.2 g CaCO₃:
mole no. = \(\mathrm{\frac{mass}{molar \ mass}}\)
= \(\frac{15.2}{40.1 + 12 + (16 \times 3)}\)
= 0.1518 moles
From the balanced equation above, we can see that the stoichiometric molar ratios of CaCO₃ and CO₂ are equal. Therefore, the number of moles of CO₂ produced is also 0.1518 moles.
Hence, from the formula for the number of moles of a gas, we can calculate the volume of CO₂:
mole no. = \(\mathrm{\frac{Volume \ in \ L}{22.4}}\)
⇒ \(0.1518 = \mathrm{\frac{Volume}{22.4}}\)
⇒ Volume = 0.1518 × 22.4
= 3.4 L
Therefore, if 15.2 g of CaCO₃ is heated, 3.4 L of CO₂ is produced at STP.
Which of the following are elements, which are mol-
ecules but not compounds, which are compounds but
not molecules, and which are both compounds and
molecules? (a) SO₂, (b) Sg, (c) Cs, (d) N₂O5, (e) 0.
(f) O₂, (g) 03. (h) CH₁, (i) KBr, (j) S. (k) P4, (1) LiF
Atoms of different element can not have same atomic number because only same type of atoms combine to form element. Atoms belonging to different element can have different atomic number. Therefore, given elements can be classified as compound and molecules.
What is element?Element generally consist of atoms or we can atoms combine to form element. Atoms of an element is always same, means all the properties of all atoms of one type of element is same. Two or more than two atoms with different physical or chemical properties can not combine together to form an element.
SO₂, N₂O5, CH₁ , Kerr, LiF are compound
O₂, O\(_3\), P4 are molecules
Sg, Cs, O, S are neither molecules nor compounds
Therefore, given elements can be classified as compound and molecules.
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5.
A gas is collected at 22.0 °C and 745.0 mm Hg. When the
temperature is changed to 0 °C, what is the resulting pressure
Answer:
A gas is collected at 22.0 °C and 745.0 mm Hg. When the temperature is changed to 0 °C, what is the resulting pressure? final pressure would result if the original pressure was 750.0 mm Hg? to 25.0 °C.
Explanation:
what is the difference between a diatomic element and a compound
Diatomic
consist of two atoms bonded together. In contrast, monatomic elements consist of single atoms (e.g., Ar, He). Many compounds are diatomic, such as HCl, NaCl, and KBr. Diatomic compounds consist of two different elements. There are seven pure elements that form diatomic molecules.
Key Takeaways: Diatomic Elements
Diatomic elements are pure elements that form molecules consisting of two atoms bonded together.
There are seven diatomic elements: hydrogen, nitrogen, oxygen, fluorine, chlorine, iodine, bromine.
These elements can exist in pure form in other arrangements. For example, oxygen can exist as the triatomic molecule, ozone.
This is a list of the seven diatomic elements. The seven diatomic elements are:
Hydrogen (H2)
Nitrogen (N2)
Oxygen (O2)
Fluorine (F2)
Chlorine (Cl2)
Iodine (I2)
Bromine (Br2)
All of these elements are nonmetals, since the halogens are a special type of nonmetallic element. Bromine is a liquid at room temperature, while the other elements all gases under ordinary conditions. As the temperature is lowered or pressure is increased, the other elements become diatomic liquids.
Astatine (atomic number 85, symbol At) and tennessine (atomic number 117, symbol Ts) are also in the halogen group and may form diatomic molecules. However, some scientists predict tennessine may behave more like a noble gas.
While only these seven elements routinely form diatomic molecules, other elements can form them. However, diatomic molecules formed by other elements are not very stable, so their bonds are easily broken.
compounds
are formed by the chemical combination of two or more element. example water is a compound because two elements water and hydrogen come to form it.
2.
Which mixture could be a useful buffer in a solution?
acetic acid (CH3CO2H) and hydrochloric acid (HCl)
sodium hydroxide (NaOH) and elemental sodium (Na)
ammonia (NH3) and ammonium chloride (NH4Cl)
acetic acid (CH3CO2H) and ammonia (NH3)
Pls answer quickly
Ammonia (\(NH_3\)) and ammonium chloride (\(NH_4Cl\)) mixture could be a useful buffer in a solution. Option C
A buffer is a solution that can resist changes in pH when small amounts of acid or base are added. It consists of a weak acid and its conjugate base or a weak base and its conjugate acid. The buffer system works by the principle of Le Chatelier's principle, where the equilibrium is shifted to counteract the changes caused by the addition of an acid or a base.
In option A, acetic acid (\(CH_3CO_2H\)) is a weak acid, but hydrochloric acid (HCl) is a strong acid. This combination does not form a buffer because HCl is completely dissociated in water and cannot provide a significant concentration of its conjugate base.
Option B consists of sodium hydroxide (NaOH), which is a strong base, and elemental sodium (Na), which is a metal. This combination does not form a buffer as there is no weak acid-base pair involved.
Option D contains acetic acid (\(CH_3CO_2H\)), a weak acid, and ammonia (\(NH_3\)), a weak base. Although they are weak acid and base, they do not form a buffer system together as they are both weak acids or bases and lack the required conjugate acid-base pair.
Option C, ammonia (\(NH_3\)), is a weak base, and ammonium chloride (\(NH_4Cl\)) is its conjugate acid. This combination can form a buffer system. When ammonia reacts with water, it forms ammonium ions (NH4+) and hydroxide ions (OH-).
The ammonium ions act as the weak acid, while the ammonia acts as the weak base. The addition of a small amount of acid will be counteracted by the ammonium ions, and the addition of a small amount of base will be counteracted by the ammonia, thus maintaining the pH of the solution relatively stable.
Therefore, option C, consisting of ammonia (\(NH_3\)) and ammonium chloride (\(NH_4Cl\)), is the suitable mixture that could be a useful buffer in a solution.
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Identifying the Body's Responses to
Quick
Check
Which type of response identifies a specific pathogen in the body?
A(n)
response
Answer:
Specific Immune Response
Explanation:
A specific immune response identifies the pathogen which then allows it to produce antibodies that protect against that SPECIFIC pathogen.
Answer:
immuneExplanation:
2 examples of metal’s catalytic reaction
Answer:
Example 1
palladium(II) nitrate,
Example 2
Metal catalysts such as Fe, Ni, Mo, and Co are routinely used in the manufacture of CNMs.
Explanation
The three metals used in catalytic converters — rhodium, platinum and palladium — are part of a category known as platinum group metals, or PGMs, which are known for their catalytic properties.
which of the following describes an experimental technology being used to reduce carbon dioxide emissions from coal?
Carbon capture and storage is one experimental method being utilised to lower carbon dioxide emissions from coal (CCS).
One experimental technique being used to reduce carbon dioxide emissions from coal is carbon capture and storage (CCS). With CCS, carbon dioxide emissions from factories or power plants are captured and either stored underground in geological formations or used to improve oil recovery.
Coal and other fossil fuels have the potential to drastically cut their carbon dioxide emissions, but CCS technology currently in the experimental stage. Unfortunately, because of its expensive cost and technical implementation difficulties, the technology is not yet extensively employed. In order to address the current climate problem, efforts to cut CO2 emissions are essential.
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What experimental technology is being used to reduce carbon dioxide emissions from coal?
What is the shirt notation for Ba2+
When Thorium-232 decays by emitting an alpha particle, what is the new nuclei formed?
One example of decay series is the sequence of decays that starts with Thorium-232 which ends up as Lead-208.
What does it mean?
We mean that Thorium-232 decays into Radium-228 plus and an alpha particle. Then, Radium subsequently decays into Actinium-228 via beta decay, and so on until Lead-208 is the final end product.
Answer: Radium-228
Analyze and Critique:
A student submitted the written statement below describing the following equation:
Provided equation: Zn (s) + Cl2 (g) ----> ZnCl2 (s)
Student's Response:
A solid zinc element and one gaseous chlorine molecule combined to make one unit of solid zinc chloride
The student made 2 mistakes. List each mistake and how they can fix it.
Answer:
The two mistakes made by the student are: 1) they used the term "element" instead of the term "substance"; and 2) they stated that one gaseous chlorine molecule was combined with the zinc, when actually two molecules of chlorine gas were combined with the zinc. The student can fix these mistakes by using the term "substance" instead of "element" and by stating that two molecules of chlorine gas were used in combination with the zinc.
3. What is the force of gravity on a 10 kg rock on Mars (0.38 g)?
What are the products of the combustion of fossil fuels?
Answer:
The products of the combustion of fossil fuels is sulphur oxides (SOx) and nitrogen oxides (NOx)
Explanation:
Fossil oil is largely made up of carbon and hydrogen which form carbon dioxide (CO2) and water following combustion in air. The combustion of fossil oil also creates sulphur oxides (SOx) and nitrogen oxides (NOx) and these are believed to have a detrimental effect on the environment, the atmosphere and the
What would you call a linear alkane that contains 8 carbons?
Answer:
octane
Explanation:
heptane: an alkane with 7 C's
nonane: an alkane with 9 C's
hexane: an alkane with 6C's
The name of the linear alkane that contains 8 carbons is octane. The correct option is C.
What are alkanes?Saturated hydrocarbons are alkanes. This indicates that single bonds are used to connect each of their carbon atoms. They are not reactive. They react with oxygen, the process called combustion or burning. Examples are methane, ethane, etc.
Alkane is of many carbon chains. They can be single, double, triple, etc. The alkane that has 8 carbon atoms is called octane. A linear hydrocarbon is an octane. The bonds between each carbon in the molecular skeleton are limited to two.
5 carbon atoms are called pentane, six carbon atoms are called hexane, and seven carbon atoms are called heptane, as in series, the eighth carbon atom is called octane.
Thus, the correct option is C. octane.
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The q,ß-unsaturated ketone A exchanges hydrogen atoms with deuterium at the two positions shown below to give product B. Provide a detailed, stepwise mechanism for the following transformation using proton transfer reactions.
Use curved arrows to show the movement of electrons.
O+D --------> D20 (solvent) D D
Complete Question
The complete question is shown on the first uploaded image
Answer:
The step wise mechanism is shown on the second uploaded image
Explanation:
the mass spectrum of an organic compound shows the relative abundances of m to be 51.10% and m 1 to be 7.185%. assuming the peaks are caused by c12 and c13 isotopes, determine the number of carbon atoms in the compound. the natural abundance of c12 is 98.93%, and the natural abundance of c13 is 1.07%.
The mass spectrum of an organic compound shows the relative abundances of m to be 51.10% and m 1 to be 7.185%. assuming the peaks are caused by c12 and c13 isotopes, the number of carbon atoms in the compound is 13 atom
The number of carbon atoms can be calculate as follows:
Ratio of 13C to 12C natural abundance = 1.07%./ 98.93% = 1.08%
No. of Carbon atoms = (M1 Relative abundance/M relative abundance) ÷ Ratio of 13C to 12C natural abundance
No. of Carbon atoms =(7.185./ 51.10 )/ 1.08
No. of Carbon atoms = 13 atom
Therefore, the number of carbon atoms in the compound is 13 atom
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HQ5.40
Homework Answered Due Today, 11:59 PM
The reaction 3H₂(g) + N₂(g) → 2NH3(g) has an enthalpy of reaction of -92.6 kJ/mol. If 1 g of hydrogen and 2 g of nitrogen are
reacted, how much heat is produced (kJ)?
The amount of heat energy produced when 1 g of hydrogen and 2 g of nitrogen are reacted, is -6.61 KJ
How do i determine the heat energy produced?First, we shall obtain the limiting reactant. Details below:
3H₂ + N₂ -> 2NH₃
Molar mass of N₂ = 28 g/molMass of N₂ from the balanced equation = 1 × 28 = 28 g Molar mass of H₂ = 2 g/molMass of H₂ from the balanced equation = 3 × 2 = 6 gFrom the balanced equation above,
28 g of N₂ reacted with 6 g of H₂
Therefore,
2 g of N₂ will react with = (2 × 6) / 28 = 0.43 g of H₂
We can see that only 0.43 g of H₂ is needed in the reaction.
Thus, the limiting reactant is N₂
Finally, we the amount of heat energy produced. Details below:
3H₂ + N₂ -> 2NH₃ ΔH = -92.6 KJ
Molar mass of N₂ = 28 g/molMass of N₂ from the balanced equation = 1 × 28 = 28 gFrom the balanced equation above,
When 28 grams of N₂ reacted, -92.6 KJ of heat energy were produced.
Therefore,
When 2 grams of N₂ will react to produce = (2 × -92.6) / 28 = -6.61 KJ
Thus the heat energy produced from the reaction is -6.61 KJ
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Table salt contains 39.33 g of sodium per 100 g of salt. The U.S. Food and Drug Administration (FDA) recommends that adults consume less than 2.40 g of sodium per day . A particular snack mix contains 1.30 g of salt per 100 g of the mix .
471 g, or roughly 16.6 ounces, of the snack mix, can be consumed daily by an adult.
What is sodium?The chemical element sodium has an atomic number of 11 and the symbol Na, which comes from its Latin name, natrium. It is an alkali metal, which is a soft, silvery-white group of elements in the periodic table. Due to its strong reactivity, sodium is not found in nature's elemental form but rather in compounds like sodium hydroxide, sodium bicarbonate, and sodium chloride (table salt) (lye).
How do you determine it?We must first translate the quantity of salt in the snack mix into the quantity of sodium it contains in order to determine how much sodium is in the snack mix:
1.30 g of salt/100 g of mix x 39.33 g of sodium/100 g of salt = 0.51 g of sodium/100 g of mix
As a result, the snack mix has 0.51 g of salt per 100 g.
The following calculation can be used to determine how much of the snack mix an adult can eat without exceeding the FDA's daily salt recommendation:
2.40 g of sodium/day ÷ 0.51 g of sodium/100 g of mix = 4.71 x 100 g of mix.
Therefore, 471 g, or roughly 16.6 ounces, of the snack mix, can be consumed daily by an adult and yet keep under the FDA's daily sodium recommendation.
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Which is the best description of the arrangement of atoms or molecules in liquids
One of the key differences between the different possible physical states is the proximity of the particles. In solids, we will have atoms being really close to each other, most likely tightly packed. In gas, the atoms will be really away from each other, traveling with random movements and colliding sometimes. Liquid state is in between these two situations, not too far and not too close, but they are closer than farther. Therefore we can consider that the best answer for this question is Close together
What do you think went well last semester in your chemistry class?
This seems like more of a you thing, but give me brainliest anyways. >:D
In the chapters you read for this lesson, Jonas finds out what role he will play in his community. However, after the Ceremony of Twelve, Jonas leaves the auditorium even more worried than he was before. What theme is suggested by the events that begin the novel’s rising action?
Unless you learn your weaknesses, you can never know yourself.
Even in a safe place, it’s easy to become frightened.
Wherever people gather together, there will be dishonesty.
A society based on control may have some dark secrets.
In the chapters of The Giver by Lois Lowry, Jonas the protagonist finds out what role he will play in his community. However, after the Ceremony of Twelve, Jonas leaves the auditorium even more apprehensive than he was before. "The theme that is suggested by the events that begin the novel’s rising action is that A society based on control may have some dark secrets." (Option D).
What is the justification for the above conclusion?When children attain the age of twelve, they undergo the maturity rite. Surprisingly, the job he is assigned leads him to challenge those norms and practices, which he begins to do towards the close of Chapter 9.
The laws that allow him to act differently—he is allowed to be nasty and lie, among other things—encourage him to think differently: for the first time, his freedom to lie makes him wonder if other individuals in his society are also allowed to lie. Jonas begins to lose confidence and trust in the people in his village.
This minor lack of confidence reminds us how perilous it is to Jonas' society's framework to allow free choice or to foster free opinion.
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The student's lab manual says to mix some of his Na2CO3 solution with an aqueous solution of copper(II) sulfate (CuSO4)
i What evidence of a chemical reaction would he expect to see? Explain your answer.
ii Write a balanced chemical equation to show the reaction. Include state symbols.
iii What kind of reaction is this?
i When sodium carbonate (Na2CO3) is mixed with an aqueous solution of copper(II) sulfate (CuSO4), the student can expect to see several evidence of a chemical reaction:
Formation of a solid precipitate: When these two solutions are mixed, a solid precipitate of copper(II) carbonate (CuCO3) will form. This is a sign that a chemical reaction has occurred.
Change in color: The reaction between sodium carbonate and copper(II) sulfate will also result in a change in color. The solution may turn a blue or green color, indicating the presence of copper(II) ions.
Release of gases: The reaction between sodium carbonate and copper(II) sulfate may also produce gases, such as carbon dioxide (CO2).
ii The balanced chemical equation for the reaction between sodium carbonate and copper(II) sulfate is:
2Na2CO3(aq) + CuSO4(aq) → 2Na2SO4(aq) + CuCO3(s)
iii This is a double displacement reaction, also known as a metathesis reaction. In this type of reaction, the cations (positively charged ions) and anions (negatively charged ions) of the reactant compounds exchange places to form the products. In this case, the sodium ions (Na+) and the copper ions (Cu2+) exchange places to form sodium sulfate (Na2SO4) and copper carbonate (CuCO3).
What is the mass (g) of 1.00 L water if the density is 1.000 g/mL.
Answer:
1000g
Explanation:
1 * 1000 = 1000
2.62 Predict the chemical formulas of the compounds formed by the following pairs of ions: (a) Cr3+ and Br, (b) Fe3+ and O2, (c) Hg22+ and CO2, (d) Ca2+ and CIO3, (e) NH4+ and PO³
Answer:
(a) Cr3+ and Br- will form CrBr3 (chromium(III) bromide)
(b) Fe3+ and O2- will form Fe2O3 (iron(III) oxide)
(c) Hg22+ and CO32- will form Hg2CO3 (mercury(I) carbonate)
(d) Ca2+ and ClO3- will form Ca(ClO3)2 (calcium chlorate)
(e) NH4+ and PO43- will form (NH4)3PO4 (ammonium phosphate)
Explanation:
chatGPT
The chemical formulas for the compounds formed by the given pairs of ions are: (a) CrBr3, (b) Fe2O3, (c) Hg2(CO3)2, (d) Ca(ClO3)2, and (e) (NH4)3PO4.
Explanation:(a) Cr3+ and Br- : In order to form a neutral compound, the charges of the ions must balance. The charge of Cr3+ is 3+ and the charge of Br- is 1-. To balance the charges, we need three Br- ions for every Cr3+ ion. Therefore, the chemical formula is CrBr3.
(b) Fe3+ and O2- : The charge of Fe3+ is 3+ and the charge of O2- is 2-. To balance the charges, we need two O2- ions for every Fe3+ ion. Therefore, the chemical formula is Fe2O3.
(c) Hg22+ and CO2- : The charge of Hg22+ is 2+ and the charge of CO2- is 2-. The charges are already balanced, so no extra ions are needed. Therefore, the chemical formula is Hg2(CO3)2.
(d) Ca2+ and ClO3- : The charge of Ca2+ is 2+ and the charge of ClO3- is 1-. To balance the charges, we need two ClO3- ions for every Ca2+ ion. Therefore, the chemical formula is Ca(ClO3)2.
(e) NH4+ and PO3- : The charge of NH4+ is 1+ and the charge of PO3- is 3-. To balance the charges, we need three NH4+ ions for every PO3- ion. Therefore, the chemical formula is (NH4)3PO4.
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In the 1920s, western powers began to expand their influence in the middle east primarily due to __________. A. The discovery of oil in the regionb. The rising number of terrorist attacks against the westc. European desires to create a jewish homelandd. Rising fundamentalist movements in iran and saudi arabia please select the best answer from the choices provided. Abcd.
In the 1920s, western powers began to expand their influence in the middle east primarily due to A. The discovery of oil in the region.
The Role of Oil in the Expansion of Western Powers in the Middle East during the 1920sIn the 1920s, the Western powers, such as Britain and France, began to expand their influence in the Middle East primarily due to the discovery of oil in the region. The discovery of oil brought enormous economic and strategic importance to the region, and the Western powers sought to secure their access to this valuable resource. The discovery of oil also helped to modernize the region, as the Western powers invested in infrastructure development, such as pipelines, ports, and railways, which facilitated the transportation of oil and other goods. The Western powers also sought to protect their interests in the region by establishing protectorates, such as Kuwait and Bahrain, and by dividing up the former Ottoman Empire into new nation-states that would be more amenable to Western influence. This led to a backlash from some in the region, who saw the Western powers as meddling in their affairs, and who called for greater independence and self-determination. Nonetheless, the discovery of oil in the region had a profound impact on the political and economic development of the Middle East and continues to shape the region's geopolitics today.
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calculate the change in entropy if one mole of argon gas at 300. k and 1.00 bar is heated to 700 k and its pressure lowered to 0.0800 bar. assume ideal gas behavior.
if a mole of argon gas is warmed to 700 k as well as its pressure is reduced to 0.0800 bar, then measure the change in entropy. Suppose that the ideal gas behaviour is 38.61 J/K.
Entropy, broad sense, serves as a metric for energy quality, with lower entropy indicating better quality. Entropy is lower for energy that's been carefully arranged (the efficient library). The random-pile library is a chaotic energy storage device with high entropy. All parts of our daily life are impacted by entropy, which would be merely a measure of disorder. In actuality, it may be considered humanity's greatest tax. Dysfunction spreads over time if left unchecked. Systems collapse into chaos when energy diffuses. Something is much more chaotic the more
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The coefficient of thermal expansion α = (1/V)(∂V/∂T)p. Using the equation of state, compute the value of α for an ideal gas. The coefficient of compressibility β is define by β = -(1/V)(∂V/∂p)T. Compute the value of β for an ideal gas. For an ideal gas, express the derivative (∂p/∂T)v in terms of α and β. Do the same derivative for van der Waals gas.
Answer:
The coefficient of thermal expansion α is
\(\alpha = \frac{1}{T}\)
The coefficient of compressibility
\(\beta = \frac{1}{P}\)
Now considering \((\frac{ \delta P }{\delta T} )V\)
From equation (1) we have that
\(\frac{ \delta P}{\delta T} = \frac{n R }{V}\)
From ideal equation
\(nR = \frac{PV}{T}\)
So
\(\frac{\delta P}{\delta T} = \frac{PV}{TV}\)
=> \(\frac{\delta P}{\delta T} = \frac{P}{T}\)
=> \(\frac{\delta P}{\delta T} = \frac{\alpha }{\beta}\)
Explanation:
From the question we are told that
The coefficient of thermal expansion is \(\alpha = \frac{1}{V} * (\frac{\delta V}{ \delta P}) P\)
The coefficient of compressibility is \(\beta = - (\frac{1}{V} ) * (\frac{\delta V}{ \delta P} ) T\)
Generally the ideal gas is mathematically represented as
\(PV = nRT\)
=> \(V = \frac{nRT}{P} --- (1)\)
differentiating both side with respect to T at constant P
\(\frac{\delta V}{\delta T } = \frac{ n R }{P}\)
substituting the equation above into \(\alpha\)
\(\alpha = \frac{1}{V} * ( \frac{ n R }{P}) P\)
\(\alpha = \frac{nR}{PV}\)
Recall from ideal gas equation \(T = \frac{PV}{nR}\)
So
\(\alpha = \frac{1}{T}\)
Now differentiate equation (1) above with respect to P at constant T
\(\frac{\delta V}{ \delta P} = -\frac{nRT}{P^2}\)
substituting the above equation into equation of \(\beta\)
\(\beta = - (\frac{1}{V} ) * (-\frac{nRT}{P^2} ) T\)
\(\beta =\frac{ (\frac{n RT}{PV} )}{P}\)
Recall from ideal gas equation that
\(\frac{PV}{nRT} = 1\)
So
\(\beta = \frac{1}{P}\)
Now considering \((\frac{ \delta P }{\delta T} )V\)
From equation (1) we have that
\(\frac{ \delta P}{\delta T} = \frac{n R }{V}\)
From ideal equation
\(nR = \frac{PV}{T}\)
So
\(\frac{\delta P}{\delta T} = \frac{PV}{TV}\)
=> \(\frac{\delta P}{\delta T} = \frac{P}{T}\)
=> \(\frac{\delta P}{\delta T} = \frac{\alpha }{\beta}\)
True or false, rewrite it to make it true.
To balance a chemical equation, only the subscripts of a reactant and product can be changes
Answer:
false
Explanation:
okay this is not school related but how do you not fall for some one so hard .
Answer:
Love is not only the thing in this world!
Study hard, you can choose a better way of life.
I NEED HELP ASAPPPPP!!!!!!!
Objects with similar volume always have the same mass.
True or false?