the maximum electrical work that the cell can accomplish when 51.0 g of copper is plated out is approximately [tex]\( -167549 \, \text{J} \).[/tex]
To find the maximum electrical work that the cell can accomplish when 51.0 g of copper is plated out, we can use the relationship between electrical work ( w ) and the amount of substance involved in the redox reaction.
The electrical work ( w ) done by a cell operating under standard conditions is given by:
[tex]\[ w = -nFE \][/tex]
Where:
- ( n ) is the number of moles of electrons transferred in the balanced redox reaction.
- ( F ) is the Faraday constant [tex](\( 96485 \, \text{C/mol} \)).[/tex]
- ( E ) is the standard cell potential of the redox reaction (in volts).
First, we need to determine the number of moles of electrons transferred in the reaction. From the balanced redox reaction:
[tex]\[ \text{Zn}(s) + \text{Cu}^{2+}(aq) \rightarrow \text{Zn}^{2+}(aq) + \text{Cu}(s) \][/tex]
We see that 2 moles of electrons are transferred for every 1 mole of copper plated out.
Given that the molar mass of copper ([tex]\( \text{Cu} \))[/tex] is approximately [tex]\( 63.55 \, \text{g/mol} \)[/tex], we can calculate the number of moles of copper plated out:
[tex]\[ \text{Moles of Cu} = \frac{\text{Mass}}{\text{Molar mass}} = \frac{51.0 \, \text{g}}{63.55 \, \text{g/mol}} \][/tex]
[tex]\[ \text{Moles of Cu} \approx 0.802 \, \text{mol} \][/tex]
Since 2 moles of electrons are transferred for every 1 mole of copper plated out, the number of moles of electrons transferred (\( n \)) is twice the number of moles of copper plated out:
[tex]\[ n = 2 \times 0.802 \, \text{mol} \][/tex]
[tex]\[ n = 1.604 \, \text{mol} \][/tex]
Now, we can use the standard reduction potentials to find the standard cell potential (E ) for the reaction. From the standard reduction potentials table, we have:
[tex]\[ E^\circ_{\text{cell}} = E^\circ_{\text{cathode}} - E^\circ_{\text{anode}} \][/tex]
[tex]\[ E^\circ_{\text{cell}} = E^\circ_{\text{Cu}^{2+}/\text{Cu}} - E^\circ_{\text{Zn}^{2+}/\text{Zn}} \][/tex]
Given that [tex]\( E^\circ_{\text{Cu}^{2+}/\text{Cu}} = 0.34 \, \text{V} \) and \( E^\circ_{\text{Zn}^{2+}/\text{Zn}} = -0.76 \, \text{V} \)[/tex], we have:
[tex]\[ E^\circ_{\text{cell}} = (0.34 \, \text{V}) - (-0.76 \, \text{V}) \][/tex]
[tex]\[ E^\circ_{\text{cell}} = 1.10 \, \text{V} \][/tex]
Now, we can calculate the maximum electrical work [tex](\( w \)):[/tex]
[tex]\[ w = -nFE \][/tex]
[tex]\[ w = -(1.604 \, \text{mol} \times 96485 \, \text{C/mol} \times 1.10 \, \text{V}) \][/tex]
[tex]\[ w \approx -1.604 \times 96485 \times 1.10 \, \text{J} \][/tex]
[tex]\[ w \approx -167548.6 \, \text{J} \][/tex]
[tex]\[ w \approx -167549 \, \text{J} \][/tex]
So, the maximum electrical work that the cell can accomplish when 51.0 g of copper is plated out is approximately [tex]\( -167549 \, \text{J} \).[/tex]
How many hydrogen atoms are there in 11.4 g water? Please explain
The hydrogen-bond lattice causes water to have an unusually ____ specific heat, an unusually ____ heat of vaporization and an unusually ____ density in solid form. high; high; low
Based on the information contained in the figure above, do you think that neon has any isotopes? Explain your answer.
Based on the figure, Neon has an atomic number of 10 and a Mass number of 20.18. We must take note that the atomic number is equal to the number of protons, while the Mass number is equal to the number of protons PLUS neutrons, so:
number of protons = 10
protons + neutrons = 20.18
hence,
10 + neutrons = 20.18
number of neutrons = 10.18
A neutron can be a considered as a whole single atom so it cannot have a decimal. The only way that the number of neutrons is fractions is only when it is a combination of isotopes. So the answer is:
Yes, Neon has isotopes
A scientist is studying a shock wave from an earthquake. What kind of wave is being studying?
an electromagnetic wave
a gamma ray
a radio wave
a mechanical wave
Answer:
The correct answer is option : Mechanical wave.
Explanation:
Mechanical waves are the wave which requires any medium to travel or to propagate or we can say wave which transfers energy through medium.For example: sound waves, water waves etc.
Shock wave is the wave with speed larger than the normal speed of light moving in a medium.
An electromagnetic waves are the waves capable of travelling through empty space or vacuum.They are composed of electric field and magnetic field. The gamma ray and radio wave are the example of electromagnetic wave.
Answer:
D
Explanation:
which of these is a physical property? a. malleable b. easy to digest c.ddoes not burn d. becomes moldy quickly
Answer:
Physical property is malleability
Explanation:
Malleability is a physical property that some elements of matter have that can be broken down into sheets to give them a certain shape without breaking. This physical property belongs to plasticity. It is a characteristic that some metals have, sheets of said metal can be obtained. The heat needs to be increased, some examples are gold, platinum, zinc, tin, etc.
Among the given options, malleability is a physical property. It refers to a material's ability to be shaped without breaking, which can be observed without changing the substance's nature.
Explanation:The term physical property refers to a characteristic of matter that can be observed or measured without changing the substance's identity. Looking at the options provided, malleability is a physical property. Malleability refers to the ability of a substance to be hammered or rolled into sheets without breaking, and it's a physical property because it can be observed without altering the substance's essential nature. On the other hand, 'easy to digest', 'does not burn', and 'becomes moldy quickly' are not physical properties because they involve changes in the substance's identity or composition.
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Water is added to 25.0 ml of a 0.926 m kno3 solution until the volume of the solution is exactly 500 ml. what is the concentration of the final solution?
The concentration of the final solution is 0.0463 M.
When water is added to a solution, the number of moles of solute remains constant, so the concentration of the final solution can be calculated using the formula: C₁V₁ = C₂V₂,
where:
C₁ = initial concentration of the solution
V₁ = initial volume of the solution
C₂= final concentration of the solution
V₂ = final volume of the solution
Given:
C₁ = 0.926 M
V₁ = 25.0 ml = 0.025 L
V₂ = 500 ml = 0.500 L
Substituting these values into the formula:
[tex]\(C2 = \frac{C1 \cdot V1}{V2}\),\\\(C2 = \frac{0.926 \, \text{M} \cdot 0.025 \, \text{L}}{0.500 \, \text{L}}\),\\\(C2 = 0.0463 \, \text{M}\).[/tex]
Therefore, the concentration of the final solution is 0.0463 M.
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Final answer:
The concentration of the final KNO3 solution after dilution to 500 mL is 0.0463 M, calculated using the dilution formula M1V1 = M2V2.
Explanation:
To find the concentration of the final KNO3 solution, we use the concept of dilution, which follows the formula: M1V1 = M2V2 where M1 is the initial molarity, V1 is the initial volume, M2 is the final molarity, and V2 is the final volume. Given that the initial concentration (M1) of the KNO3 solution is 0.926 M and the initial volume (V1) is 25.0 mL, and the final volume (V2) after dilution is 500 mL, the goal is to find the final concentration (M2).
Applying the values to the formula, we get: (0.926 M)(25.0 mL) = (M2)(500 mL). Solving for M2 gives us M2 = (0.926 M × 25.0 mL) / 500 mL. Therefore, the concentration of the final solution is 0.0463 M.
What is the ph of a solution with a hydrogen ion h+ concentration of 10-8 m?
Both black and white road surfaces absorb sunlight. the warmer road surface at the end of a sunny day is the
Black vs. white surfaces' heat absorption and radiation explained.
Black is a better absorber and radiator of heat compared to white. On a sunny day, black surfaces such as asphalt get hotter than lighter surfaces like gray sidewalk because black absorbs heat more efficiently. Conversely, at night, black surfaces cool down faster than lighter surfaces due to their better radiative properties.
When an electron in an atom spontaneously jumps from a higher energy state to a lower energy state, the atom?
A 226.4-l cylinder contains 65.5% he(g) and 34.5% kr(g) by mass at 27.0°c and 1.40 atm total pressure. what is the mass of he in this container?
To calculate the mass of helium in the gas cylinder, multiply the total mass of the gas mixture by 65.5% (0.655). If the total mass of the mixture is provided, the calculation would yield the mass of helium in grams. Without the total mass, the calculation cannot be completed.
The question involves calculating the mass of helium (He) in a gas cylinder based on the percentage composition by mass and the total mass of the gases in the cylinder. Given that the cylinder contains 65.5% He and 34.5% Kr by mass, to find the mass of He, simply multiply the total mass of the gas mixture by the percentage of He (expressed as a decimal).
First, we need to find the total mass of the gas mixture. However, we do not have the total mass given directly; we have the volume of the cylinder and the percentage composition by mass. Assuming the question meant to provide the total mass of the gas mixture, which is missing in this case, we would use the provided percentages to calculate the mass of He.
Assuming the total mass of the gas mixture is M, the mass of helium can be calculated as (65.5/100) * M. For example, if the cylinder had 500 grams of gas mixture, the mass of helium would be calculated as (65.5/100) * 500 g = 327.5 g.
The mass of helium (He) in the cylinder is calculated by multiplying the total mass of the gases in the cylinder by the percentage of helium, resulting in a mass of 148.29 g for helium.
The student's question is to calculate the mass of helium (He) gas in a cylinder that contains a mixture of helium and krypton (Kr) gases based on the percentage by mass. Given that the cylinder contains 65.5% He by mass, we can use these data to find the mass of helium. To accomplish this, we simply take the percentage of helium and apply it to the total mass of the gas mixture in the cylinder.
To calculate the mass of helium:
Determine the total mass of the gases in the cylinder.
Multiply the total mass by the percentage (expressed as a decimal) of helium in the mixture.
Assuming that the gases in the cylinder have a total mass of 226.4 g (based on the volume mentioned in the question, we can calculate the mass of helium):
Total mass of He = Total mass of gases × Percentage of He in decimal form
Total mass of He = 226.4 g × 0.655
Total mass of He = 148.29 g (rounded to two decimal places)
A 1.59-g sample of a metal chloride, mcl2, is dissolved in water and treated with excess aqueous silver nitrate. the silver chloride that formed weighed 3.60 g. calculate the molar mass of m.
To determine the molar mass of metal 'M', calculate the moles of AgCl formed using its molar mass, derive the moles of Cl in MCl2 from this, and calculate the mass of 1 mol of MCl2. Afterwards, rearrange the formula to compute the molar mass of M.
Explanation:To calculate the molar mass of metal (M), we are given that 3.60 g of AgCl is equivalent to 1.59 g of MCl2. From the periodic table, we know that the molar mass of AgCl is 143.3 g/mol and that of Cl is 35.45 g/mol.
Firstly, we need to calculate the moles of AgCl formed, that is 3.60 g / 143.3 g/mol = 0.0251 mol.
Each mole of AgCl produced comes from one mole of Cl. Moles of Cl in MCl2 = 0.0251 mol * 2 = 0.0502 mol. We multiply by 2 because each formula unit of MCl2 contains 2 Cl atoms. Hence, 1.59 g of MCl2 contains = 0.0502 mol of Cl.
So, the mass of 1 mol of MCl2 = (Molar mass of M + 2 * Molar mass of Cl). From this we can determine the molar mass of M = (Mass of 1 mol MCl2 – 2 * Molar mass of Cl) = (1.59 g / 0.0502 mol) - (2 * 35.45 g/mol) = approximately 36.82 g/mol.
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Cytotoxic T-lymphocytes produce a substance called _______, which creates holes in the cell membranes of target cells
The answer is perforin. This is a pore creating cytolytic protein located in the granules of cytotoxic T lymphocytes (CTLs) and NK cells. Upon degranulation, perforin attaches to the target cell's plasma membrane, and oligomerises in a Ca2+ dependent way to create pores on the target cell.
Why did the use of steam during the industrial revolution lead to an interest in understanding the atom?
The use of steam during the Industrial Revolution led to an interest in understanding the atom due to technological advancements, energy transformation, and scientific progress.
Explanation:The use of steam during the Industrial Revolution led to an interest in understanding the atom for several reasons:
Technological Advancements: The development of the steam engine revolutionized transportation and manufacturing. This new technology powered factories and modes of transportation, leading to increased curiosity about the principles behind it.Energy Transformation: Steam engines transformed thermal energy from burning coal into kinetic energy, providing a practical example of energy conversion. This prompted scientists to study the fundamental nature of energy and its relationship to atoms.Scientific Progress: The Industrial Revolution marked a period of scientific and technological advancements. As a result, there was a growing interest in understanding the building blocks of matter, including atoms, as scientists sought to explain and improve upon the new industrial technologies.A substance made of copper atoms and chlorine atoms combined together will have the same chemical properties as copper and chlorine individually. question 3 options: true false
Why is glycolysis considered by evolutionary theory to be one of the first metabolic pathways to have evolved?
HELP PLEASE!!! Write the chemical equation and balance it!!!
Aluminum phosphate and nickel (II) sulfide react to form aluminum sulfide and nickel (II) phosphate.
The balanced chemical equation for the reaction between aluminum phosphate and nickel (II) sulfide to form aluminum sulfide and nickel (II) phosphate is: 2 AlPO4 + 3 NiS → Al2S3 + Ni3(PO4)2.
Explanation:When aluminum phosphate reacts with nickel (II) sulfide, the resultant products are aluminum sulfide and nickel (II) phosphate. The unbalanced chemical equation for the reaction is:
AlPO4 + NiS → Al2S3 + Ni3(PO4)2
To balance the equation, it can be observed that there are 2 aluminum atoms on the right side and thus we will need 2 units of AlPO4 on the left side to ensure the balance of aluminum. Similarly, the 3 nickel atoms on the right side come from 3 units of NiS on the left. Phosphorus and sulfur atoms are already balanced with 1 phosphate ion on the left side and 1 sulfide ion on the right side. As a result, the balanced chemical equation is:
2 AlPO4 + 3 NiS → Al2S3 + Ni3(PO4)2
which model of an atom was molded after the solar system.
the Bohr's model > <
A solid tablet is dropped into a glass of water. The tablet completely dissolves after a few minutes.
Dissolving the solid tablet in water is a physical change as the chemical composition of the substance doesn't change.
What is a physical change?A physical change can be described as a change that occurs when some of the features of the matter change but the identity does not. Physical changes are dived into categories as reversible and irreversible. For example, the melting of ice is a reversible physical change as the melted ice can be refrozen.
Physical change can be described as a kind of change where only the physical properties of a substance such as color, odor, solubility, etc. can undergo change. During physical changes, no chemical bonds between atoms in the substance are broken or formed.
The chemical composition as well as the nature of matter remains unchanged during a physical change. The molecules of the substance can be rearranged without changing the internal composition.
Dissolving the solid tablet in water can not change the chemical composition of the tablet while the carbon tablet undergoes a chemical reaction with water and produce carbon dioxide.
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Final answer:
The question is about the chemical process of a solid dissolving in water, known as dissolution. Factors like stirring, temperature, and surface area can affect the rate of dissolution, with practical applications observed in dissolving salt or sugar.
Explanation:
The process of a solid tablet dissolving in water is a chemical phenomenon where the solid substance breaks down and disperses throughout the liquid, forming a homogeneous solution. This is termed dissolution. The rate of dissolution can be influenced by several factors, such as stirring, temperature, and the surface area of the solid. To illustrate, consider the dissolution of table salt (NaCl) in water, which breaks apart into its constituent sodium and chloride ions, each surrounded by water molecules.
The faster dissolution of granulated sugar compared to sugar cubes in tea serves as a practical example of how surface area affects dissolution rates. Heating can also accelerate the process, as seen when a solute dissolves more quickly in hot water.
In experiments such as adding an effervescent tablet to a balloon over a test tube of water, we can observe not only dissolution but also possibly a chemical reaction releasing gas, which inflates the balloon. To further understand these processes, students might perform exercises such as determining mass before and after dissolution or crystallization practices that involve the careful addition and heating of solvents to dissolve solids.
What is the name of the following formula: P4O10
a
tetraphosphorus decoxide
b
phosphorus (X) oxide
c
diphosphorus octoxide
d
phosphorus oxide
The name of the following chemical formula P₄O₁₀ is tetraphosphorus decoxide .
What is chemical formula?
Chemical formula is a way of representing the number of atoms present in a compound or molecule.It is written with the help of symbols of elements. It also makes use of brackets and subscripts.
Subscripts are used to denote number of atoms of each element and brackets indicate presence of group of atoms. Chemical formula does not contain words. Chemical formula in the simplest form is called empirical formula.
It is not the same as structural formula and does not have any information regarding structure.It does not provide any information regarding structure of molecule as obtained in structural formula.
There are four types of chemical formula:
1)empirical formula
2) structural formula
3)condensed formula
4)molecular formula
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What subatomic particle is specifically responsible for combining the atoms together to form a new substance?
The electron, through the formation of chemical bonds, is the subatomic particle responsible for holding atoms together, which allows for the creation of new substances.
The subatomic particle specifically responsible for holding atoms together to form new substances is the electron. Atoms are joined to one another through chemical bonds which involve the sharing or exchange of electrons between atoms. As atoms come together, these interactions give rise to molecules with distinct properties, transforming reactants into products during a chemical reaction. Hence, while protons determine the identity of an element, electrons are key to the formation of molecules and compounds, the building blocks of matter.
Lead oxide is formed when a lead cation that has a charge of 2+ combines with an oxygen anion that has a charge of 2-. Using the crisscross method, write the formula for lead oxide.
Answer : The formula for lead oxide is, [tex]PbO[/tex]
Explanation :
As we know that the lead is a metal having the atomic number 82. The symbol of lead is, (Pb). The charge on lead is (+2).
The element oxygen is the non-metal having the atomic number 8. The symbol of oxygen is, (O). The charge on oxygen is, (-2).
When the lead combine with the oxygen, it forms lead oxide. It is an ionic compound in which the a metal react with the non-metal and combine with the an ionic bond by the criss-cross method.
Hence, the formula of the lead oxide is, [tex]PbO[/tex]
The heat required to change a unit mass of a solid to a liquid at the melting point is called the
What must always be true about a chemical reaction based on chemical reactions?
The reaction 2k(s) + br2(l) → 2kbr(s) is a(n) ______________ reaction.
Answer:
The correct answer is oxidation-reduction.
Explanation:
This reduction-oxidation reaction is given by the following semi-reactions:
[tex]Br_{2}[/tex] + 2 [tex]e^{-}[/tex] → 2 [tex]Br^{-1}[/tex] (reduction)
2 [tex]K^{0}[/tex] - 2 [tex]e^{-}[/tex] → 2 [tex]K^{1}[/tex] (oxidation)
[tex]Br_{2}[/tex] is an oxidation agent, K is a reducing agent.
This means that [tex]Br_{2}[/tex] oxidizes K by increasing its oxidation number from 0 to 1.
[tex]Br_{2}[/tex] is reduced, decreasing its oxidation number from 0 to -1.
Have a nice day!
list 4 observations that suggest a chemical change is occurring
How many stereoisomers are possible for 1 2-dichlorocyclopentane?
What turns blue litmus paper red and have a ph greater than 7?
A chemical feature that distinguishes a saturated fatty acid from an unsaturated fatty acid is the:
The chemical feature that distinguishes a saturated fatty acid from an unsaturated fatty acid is the presence of double bonds in unsaturated fatty acids, which cause a rigid bend or 'kink' in the carbon skeleton.
Explanation:In a saturated fatty acid, each carbon is bonded to two hydrogen atoms with single bonds. This means that the carbon atom in a saturated fatty acid is filled (or 'saturated') to capacity with hydrogen atoms. On the other hand, in an unsaturated fatty acid, there is at least one double bond between neighboring carbons, which causes a rigid bend or 'kink' in the carbon skeleton.
For example, palmitic acid is a saturated fatty acid containing only single bonds, and it is solid at room temperature. In contrast, oleic acid is an unsaturated fatty acid containing one double bond, and it remains liquid at room temperature.
Aluminum is a group 3a metal. which ion does a1 typically form?
Final answer:
The typical ion formed by aluminum (Al), a group 3a metal, is the cation Al³+, due to the loss of its three valence electrons upon reaction.
Explanation:
The ion that aluminum (Al), which is a group 3a metal, typically forms is Al³+, an aluminum ion. This is because aluminum falls under group 13 of the periodic table and has the valence shell electron configuration of ns²np¹. When aluminum reacts, it tends to lose all three of its valence electrons, resulting in compounds with an oxidation state of 3+. This is observed in both covalent compounds and ionic compounds like AlF3 and Al₂(SO4)3. In aqueous solutions, aluminum ions are typically found as [Al(H₂O)6]³+, commonly abbreviated as Al³+ (aq).
If you wish to warm 52 kg of water by 22 ∘c for your bath, find what the quantity of heat is needed. express your answer in calories cal.
1144000 cal is the quantity of heat is needed to warm 52 kg of water by 22 [tex]\rm ^oC[/tex] for bath.
Heat is the energy that spontaneously transfers between systems or things as a result of temperature changes in chemistry. Conduction, convection, or radiation are all possible methods of transmission. Temperature changes result through heat exchange, which frequently occurs during chemical reactions. The rate of reactions, phase transitions, and general system behaviour are all strongly influenced by this thermal energy transfer. Understanding the dynamic behaviour of matter at the molecular level requires an understanding of heat, which can be measured in quantities like joules or calories.
Q= mc(T2-T1)
m= 52 kg,
T2-T1 = 22 [tex]\rm ^oC[/tex]
C= 1 cal/g[tex]\rm ^oC[/tex]
Q= 52000g x 1 cal/g[tex]\rm ^oC[/tex] x 22C
= 1144000 cal
C= 4.184 joules/kg[tex]\rm ^oC[/tex]
Q= 52 kg x 4.184 joules/kg[tex]\rm ^oC[/tex]x 22
= 4786.496Joules
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To warm 52 kg of water by 22°C, we must first convert the mass of water to grams and then apply the specific heat of water formula. Calculating through gives us 4,787,776 joules, but requested in calories, we convert the joules to give approximately 1,144,591.5 calories of heat energy.
Explanation:The specific heat of water is 4.184 J/g °C. When we translate this into more understandable terms, it means that it takes 4.184 joules of energy to raise one gram of water by one degree Celsius. Now, to find out how much heat is needed to warm your volume of water, we must use the specific heat equation: Q = mcΔT, where 'Q' is the heat energy, 'm' is the mass of the substance being heated (in this case, water), 'c' is the specific heat of the substance, and 'ΔT' is the change in temperature.
Now all we do is substitute the relevant values into the equation: Q = 52,000g * 4.184 J/g°C * 22°C. The g (grams) cancel out, as do the °C (degrees C), leaving us with Q = 4,787,776 joules. However, you wished to express the answer in calories. To convert from joules to calories, we must remember that 1 cal = 4.184 J. So, Q = 4,787,776 / 4.184 = 1,144,591.5 cal.
Thus, you would need approximately 1,144,591.5 calories of heat energy to warm 52 kg of water by 22°C for your bath.
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