Answer:
plastic is made up of a wide variety of synthetic materials but use polymers as the main ingredient. Their plasticity makes it easy for plastics to be moulded, extruded or pressed into solid objects of various shapes.
Explanation:
hope this helped :D
8 How did reducing the number of
decomposers affect the amount of carbon
dioxide in the ecosystem?
Answer:
Explanation:
As organisms release energy during cellular respiration, carbon dioxide is produced from the carbon in energy storage molecules. ... Carbon dioxide in the biodome decreased because decomposers decreased which means there was a decrease in cellular respiration overall.
When Pt metal is used as a catalyst for the previous reaction, we see that the mechanism changes and the reaction is much faster. The activation energy is found to be 98.4 kJ mol-1 with the catalyst at room temperature. How much would you have to raise the temperature to get the catalyzed reaction to run 100 times faster than it does at room temperature with the catalyst? Please answer in °C.
The temperature should be raised by 28.15°C to run 100 times faster than it does at room temperature with the catalyst.
How to find temperature of a catalytic reaction?To determine the temperature increase needed to make the catalyzed reaction run 100 times faster, we can use the Arrhenius equation:
\(k_{2}\)/\(k_{1}\) = e^(-Ea/R * (1/\(T_{2}\) - 1/\(T_{1}\))
Where \(k_{1}\) and \(k_{2}\) are the rate constants at temperatures \(T_{1}\) and \(T_{2}\), Ea is the activation energy (98.4 kJ mol-1), and R is the gas constant (8.314 J \(K^{-1}\) \(mol^{-1}\)).
Since we want the reaction to be 100 times faster, k2/k1 = 100. Now we can rearrange the equation and solve for \(T_{2}\):
1/\(T_{2}\) - 1/\(T_{1}\) = -R * ln(100)/Ea
Assuming room temperature (\(T_{1}\)) is 298 K (25°C), we can plug in the values:
1/\(T_{2}\) - 1/298 = -8.314 * ln(100)/98,400
1/\(T_{2}\) = 1/298 + (8.314 * ln(100)/98,400)
\(T_{2}\) = 1 / (1/298 + (8.314 * ln(100)/98,400))
Now, calculate the value of \(T_{2}\):
\(T_{2}\) ≈ 326.3 K
To convert \(T_{2}\) to °C, subtract 273.15:
\(T_{2}\) = 326.3 - 273.15 ≈ 53.15°C
Therefore, you would need to raise the temperature by approximately 28.15°C (53.15 - 25) to make the catalyzed reaction run 100 times faster.
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The coefficients in a chemical equation represent
the
Select one:
a. masses, in grams, of all reactants and
products,
O b. relative numbers of moles of reactants and
products,
c. number of atoms in each compound in a
reaction.
O d. number of valence electrons involved in the
reaction
Answer:
the answer is C
''number of atoms in each compound in a reaction.''
Explanation:
its a fact
The coefficients in the chemical equation represent relative numbers of moles of reactants and products. Therefore, option B is correct.
What is the chemical equation?A chemical equation can be explained as the representation of a chemical reaction in terms of chemical symbols. A chemical equation exhibits reactants participating, formed products in the reaction, and an arrow representing the direction of the chemical reaction.
The chemical equation in which the number of atoms of each element is equal on both sides of the chemical equation is known as a balanced chemical equation.
The law of conservation of matter needed to be followed while balancing a chemical equation.
The total mass of all elements on the reactant side should be equal to the total mass of all elements on the product side in a balanced chemical equation. The coefficients represent a number of moles of reactants and products.
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What is the mass of a 12.31 cm3 piece of copper having a density of 8.96 g/cm3
Answer:
the mass of the copper piece is 110.2976 grams
(a) suppose that li2o is added as an impurity to cao. if the li+ substitutes for ca2+, what kind of vacancies would you expect to form? choose the answer from the menu in accordance to the question statement calcium how many of these vacancies are created for every li+ added?
When Li₂O is added as an impurity to CaO and Li+ substitutes for Ca²⁺, we would expect to form Ca²⁺ vacancies. This is because when Li⁺ takes the place of Ca²⁺, the Ca²⁺ ions that were originally in their lattice sites are now missing, leaving behind vacancies.
For every Li⁺ added, one Ca²⁺ vacancy would be created. This is because the charge of the Li⁺ ion (+1) is equivalent to the charge of the Ca²⁺ ion (+2). Therefore, for every Li⁺ ion that takes the place of a Ca²⁺ ion, one Ca²⁺ ion is missing, leaving behind one Ca²⁺ vacancy.
It is important to note that the presence of vacancies can affect the physical and chemical properties of the material. For example, in metals, vacancies can contribute to the diffusion of atoms through the lattice, which can affect the material's strength and ductility. In ionic solids, such as CaO, vacancies can affect the material's ionic conductivity and optical properties. Therefore, the presence of Li⁺ impurities and resulting vacancies in CaO can have significant impacts on its properties and potential applications.
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What is the percent sodium in sodium chloride?
The total mass of sodium chloride is 58.44 g/mol.
The mass of sodium is 22.99 g/mol.
To find the percent sodium in sodium chloride can be found by dividing the amounts.
\(\frac{22.99}{58.44}\approx0.39\)Therefore, the percent sodium is 39%.
there is an ice cream shop 6 blocks north of your hotel. how many minutes will it take to walk there and back
Answer:
This question is incomplete
Explanation:
This question is incomplete.
However, when all the required data are available, you can use the formula/steps below
Average speed/velocity (m/s) = distance (in metres) ÷ time (in seconds)
Time (in secs) = distance ÷ average speed/velocity
Kindly note that "blocks" is not a standard unit for distance measurement in science, hence the distance (since its a walking distance) must be in metres (or converted to metres if not in metres).
The distance in the formula is the distance from the hotel to the ice cream shop while the average speed is the distance covered per time as s/he walks to the ice cream shop and back. Hence, the answer gotten from the formula above will have to be multiplied by 2 (in order to get the time taken to walk to the ice cream shop and back) because the formula will only provide answer to one trip (time taken to walk to the shop).
After the multiplication mentioned above, the time in seconds should be converted to minutes by dividing the answer in seconds by 60
What state of matter has no visible shape and fills its container?
A: solid
B: liquid
C: has
Answer:
B
Explanation:
hydrocarbons are compounds that contain only c and h atoms. when a hydrocarbon reacts with o2, co2 and h2o are formed. write a balanced equation for the combustion of the following hydrocarbon, a high-octane components of gasoline.
The reaction is 2 C6H6 + 15 O2 -> 12 CO2 + 6 H2O.
What is combustion?
Combustion is the oldest technology known to mankind and one of our most significant discoveries or inventions. Combustion has been around for a very long time. Fire, along with earth, water, and air, was thought to be one of the four basic elements in the cosmos from antiquity through the mediaeval centuries. Combustion, explosion, and flame have all been observed and speculated since the dawn of time. Each culture has its own explanation. The Greeks explained combustion in terms of philosophical beliefs, one of which was that all fuel bodies included a "inflammable essence," which exited when the body was burned to react with air.
The reaction is:
C6H6 + O2 -> CO2 + H2O
Balance C:
C6H6 + O2 -> 6 CO2 + H2O
Balance H:
C6H6 + O2 -> 6 CO2 + 3 H2O
Balance O:
2 C6H6 + 15 O2 -> 12 CO2 + 6 H2O
The reaction is 2 C6H6 + 15 O2 -> 12 CO2 + 6 H2O.
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why does recovered singal have 3 or 4 volatge level instead of 2 levels as you would excpect for a digtal signal
The digital signal is a signal that encodes data as a series of discrete values; at any one moment, it can only take on a maximum of one of a finite set of values.
A digital signal, in contrast, represents continuous values; it always reflects a real number within a continuous range of values. Information is represented by simple digital signals in discrete analogue level bands. The same information state is represented by all levels in a band of values. The signal in the majority of digital circuits can have two legitimate possible values; this is known as a binary signal or logic signal.
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how much water should be added to 28 ml of 15% alcohol solution to reduce the concentration to 14%?
The amount of water that should be added to 28 ml of 15% alcohol solution to reduce the concentration to 14% is: 2 ml
To solve this problem, the formula and the procedure that we have to use is:
c1 * v1 = c2 * v2
Where:
c1= concentration of the concentrated solutionv1 = volume of the concentrated solutionc2 = concentration of the diluted solutionv2 = volume of the diluted solutionInformation about the problem:
c1 = 15%v1=28 mlc2 = 14%v2=?amount of water should be added=?Applying the dissolution of concentrations formula and clearing the volume of the diluted solution (v2) we get:
c1 * v1 = c2 * v2
v2 = (c1 * v1)/ c2
v2 = (15% * 28 ml)/ 14%
v2= 30 ml
In order to know how much water should be added we have to subtract 28 ml from the volume of the diluted solution:
amount of water should be added = v2 - v1
amount of water should be added = 30 ml - 28 ml
amount of water should be added = 2 ml
What is a solution?In chemistry a solution is known as a homogeneous mixture of two or more components called:
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if a cation forms an insoluble percipitate with cl[AgCl] according to le chatelier's principle which direction is favoredadded to insoluble
According to Le Chatelier's principle, if a cation forms an insoluble precipitate with [AgCl], the direction that is favored when added to the system is for the precipitate to form.
When a cation is added to a solution containing Ag+ ions and Cl- ions, it can form an insoluble precipitate with AgCl if it is one of the cations that are capable of doing so. This will cause AgCl to come out of the solution and form a solid precipitate.
This reaction is exothermic, releasing heat, and the formation of the precipitate will consume Ag+ and Cl- ions, which will decrease the concentration of the ions in the solution.
By consuming the reactants, the formation of the precipitate will cause the reaction to shift to the right, in the direction of the formation of the precipitate. This is in agreement with Le Chatelier's principle which states that a system at equilibrium will shift to counteract the changes imposed on it.
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How many grams of calcium chloride are needed to produce 10. 0 g of potassium chloride?
cacl2( aq) k2co3( aq) → 2kcl( aq) caco3( aq)
Answer:
7.44 grams CaCl2 will produce 10.0 grams KCl.
Explanation:
The equation is balanced:
I've repeated it here, with the elements corrected for their initial capital letter.
CaCl2( aq) K2CO3( aq) → 2KCl( aq) CaCO3( aq)
This equation tells us that 1 mole of CaCl2 will produce 2 moles of KCl.
If we want 10.0g of KCl, we need to convert that mass into moles KCl by dividing by the molar mass of KCl, which is 74.55 grams/mole.
(10.0 grams KCl)/(74.55 grams/mole) = 0.1341 moles of KCl.
We know that we'll need half that amount of moles CaCl2, since the balanced equation says we'll get twice the moles KCl for every one mole CaCl2.
So we'll need (0.1341 moles KCl)*(1 mole CaCl2/2moles KCl) = 0.0671 moles CaCl2.
The molar mass of CaCl2 is 110.98 grams/mole.
(0.0671 moles CaCl2)*(110.98 grams/mole) = 7.44 grams CaCl2
7.44 grams CaCl2 will produce 10.0 grams KCl.
How do u study for a subject that you didn’t understand from the beginning of the year !!! (The subject is chem btw )
Answer: I would usually try my BEST to get help from yt videos. I recommend using yt that give the most kindergarten type speaking technique, this is really weird to say but it helps just incase you can be stressed out about the words being given by teachers in Chemistry. And I recommend writing down the notes when they explain as well. Hope this helps!
How many grams are there in 1.5 x 10^25 molecules of CO2
Answer:
It would be 1096.2
Explanation:
My math might be incorrect but I am 110% sure
below given are some example of solution identify solute and solvent from them also mention whether they are solid, liquid and gas . Air,milk,water, pepsi,humid air,sea water, polluted air
Answer:
Solutes examples are
Air,(gas) humid air (gas), polluted air(gas)
Examples of Solvents are Milk(liquid), water(liquid).,
Pepsi(liquid).
Sea water(liquid)
Explanation:
Solutes are substances that are dissolved and it is present in minute fraction in a solution.
Solvents is the medium that dissolve substances or solutes and it is present in large amount in a solution.
Solutes and solvents for solution.
Solution is formed when substances dissolves in another.
Air: The solvent is nitrogen because it is present in large quantities and the solutes is oxygen because it is present in small quantity.
Pepsi :sugar, caffeine and carbon dioxide as solutes and the solvent is water.
Milk: lactose, some minerals are solutes and Water is the solvent.
Humid air: water is the solutes and gases is the solvent.
Sea water: salt is the solute and water is the solvent.
Polluted air: Air is the solvent and dust particles is the solutes.
Write the balanced half-reactions describing the oxidation and reduction that happens in the following reaction.CuCl2(aq)+Mg(s)→MgCl2(aq)+Cu(s)
Answer:
REDUCTION: Cu^+2 - 2e --> Cu
OXIDATION: Mg --> Mg^+2 +2e-
Explanation:
Remember the acronym LEO says GER. This means:
Losing Electrons is Oxidation
Gaining Electrons is Reduction
1. The first step in writing any balanced half reactions is to assign oxidation numbers to each atom on both the reactant and product side. Oxidation numbers are essentially the charges of each atom, and are usually just the charge of the atom.
Reactant side:
Cu: +2 (to cancel out 2 Cl - atoms)
Cl2: -1 (you do not consider the amount of atoms when assigning O.N.)
Mg: 0 (all atoms in pure elements have an O.N. of zero)
Product Side:
Cu: 0 (because this is a pure atom after the reaction)
Cl2: -1 (stays the same so this is not involved in the REDOX reaction)
Mg: +2 (to cancel out the -2 from two Cl - atoms)
Compare Reactant vs Product Side:
Cu: +2 --> 0 (Cu gains electrons, so this is the reduction half reaction)
Mg: 0 --> +2 (Mg loses electrons, so this is the oxidation half reaction)
Now separate the two atoms into UNBALANCED half reactions to build a base:
REDUCTION: Cu +2 --> Cu
OXIDATION: Mg --> Mg +2
The next step in typical half reactions is to balance the number of atoms in each half, but the amount of Cu stays 1 (1 Cu +2 --> 1 Cu) and the amount of Mg stays 1 (1 Mg --> 1 Mg +2), therefore there are no atoms to balance
Balance each reaction for charge (charge = number of electrons)
REDUCTION: Cu +2 -2e - --> Cu (so the charge on both sides are zero)
OXIDATION: Mg --> Mg +2 +2e- (so the positive plus 2 electrons cancels out the positive 2 O.N. on the reactant side)
Adding electrons to balance charge will always occur to the left of the reaction arrow for reduction and to the right of the reaction arrow for oxidation.
These are considered the balanced half reactions:
REDUCTION: Cu^+2 - 2e --> Cu
OXIDATION: Mg --> Mg^+2 +2e-
If you wished to write the entire equation, the next step would be to add these two half reactions. There are no additional steps for this addition because the electrons cancel out on both sides (they have to be equal in order to add)
So the COMPLETE equation is:
Cu^+2 + Mg --> Cu + Mg^+2
The overall balanced half-reactions are:
Oxidation: 2Mg(s) → 2Mg²⁺(aq) + 4e⁻
Reduction: Cu²⁺(aq) + 2e⁻ → Cu(s)
What are redox reactions?A chemical process in which electrons are moved between two reactants is referred to as a redox reaction. The alteration in the oxidation states of the reacting species can be used to pinpoint this electron transfer.
The oxidation half-reaction involves the loss of electrons and the reduction half-reaction involves the gain of electrons.
Oxidation half-reaction: Mg(s) → Mg²⁺(aq) + 2e⁻
Reduction half-reaction: Cu²⁺(aq) + 2e⁻ → Cu(s)
To balance the charges, we need to multiply the oxidation half-reaction by 2:
2Mg(s) → 2Mg²⁺(aq) + 4e⁻
Now the number of electrons lost in the oxidation half-reaction (4) is equal to the number of electrons gained in the reduction half-reaction (4).
Thus, the overall balanced reaction is:
2Mg(s) + CuCl₂(aq) → 2MgCl₂(aq) + Cu(s)
And the balanced half-reactions are:
Oxidation: 2Mg(s) → 2Mg²⁺(aq) + 4e⁻
Reduction: Cu²⁺(aq) + 2e⁻ → Cu(s)
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) please explain how van der waals bonds help geckos climb up walls. what is the fundamental property they exploit? what design features in their feet enable them to do so? give an example of a technology based on how gecko feet work.
The tiny hairs on Gecko feet help them to climb the wall by maximizing the Van der Waals forces. Super Adhesive materials are based on gecko feet.
Gecko have very tiny hairs present on the bottom of their feet. These feet are in present in an enormous amount. These tiny hairs allow them to increase the surface are of contact between their feet and the wall.
Van der Waals forces are increased if the area of the contact in increased, because the atoms are in direct contact with each other and this enables them to climb up the wall easily.
This tiny hair design in their feet helps the Gecko to climb up the wall.
The scientists have developed a material based on gecko feet, this is called Super-Adhesive material. These materials work on the same principle as that of gecko feet.
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A compound was decomposed and determined to be 51.27 % C, 7.75 % H and 40.98 % O by mass. What is the subscript for H in the empirical formula for this compound?
The subscript for H in the empirical formula for this compound is 3.
There are 3 steps involved in the construction of empirical formula.
Calculation of empirical formula is as under as ...
Step 1: Divide the % of each atoms which their atomic weights.
C = 51.27 / 12 = 4.27
H = 7.75 / 1 = 7.75
O = 40.98 / 16 =2.56
Step 2 : Divide all the answers with the smallest answer to get the subscripts for empirical formula.
C = 4.27/ 2.56 ≈ 2
H = 7.75/ 2.56 ≈ 3
O = 2.56 /2.56 = 1
Step 3: Construction of empirical formula by putting subscripts calculated in step 2.
Empirical formula form given data = \(C_{2} H_{3} O_{1}\)
Thus , subscript for H in the empirical formula for this compound is 3.
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What MASS of NaCl are required to make 2.69L of a 0.14M solution?Use the correct abbreviation for the UNITS
To solve this problem, let's use the definition for molarity:
Replacing the values of the problem:
Now, to find the mass, we multiply by the molecular weight of NaCl. (Which is about 58.44g/mol)
The answer is approximately 22.2g of NaCl
1. What do gram-formula mass and atomic mass have in common? How are they different?
hydrophobic interactions may occur between the r-groups of which of the following pairs of amino acids:
Hydrophobic interactions may occur between the R-groups of non-polar amino acids such as alanine (Ala), valine (Val), leucine (Leu), isoleucine (Ile), phenylalanine (Phe), tryptophan (Trp), and methionine (Met). These interactions can play a critical role in the folding and stability of proteins.
Hydrophobic interactions may occur between the R-groups of the following pairs of amino acids:
The pairs of amino acids that can experience hydrophobic interactions are those with non-polar, hydrophobic R-groups. Some examples of these amino acids include:
1. Alanine (Ala)
2. Valine (Val)
3. Leucine (Leu)
4. Isoleucine (Ile)
5. Phenylalanine (Phe)
6. Methionine (Met)
7. Proline (Pro)
8. Tryptophan (Trp)
Any combination of these amino acids can result in hydrophobic interactions between their R-groups due to their non-polar nature.
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Which set of reactants creates these products during a double reaction?
[?] > H2O (I) + NaF (aq)
The cluster of reactants that makes these products during a double replacement reaction is HF (aq) + NaOH (aq), which is option B.
To evaluate this, we need to balance the charges of the reactants and products. The products are H₂O(1) and NaF (aq), which have charges of 0 and -1, respectively. In order to balance the charges, we need to have a compound with a charge of +1.
Now comparing the other options
In option A, the reactants are 2HF (aq) and NaOH (aq), which will produce H₂O(1) and NaF (aq), but the charges are not balanced. The products will have a charge of -2, which cannot be balanced by the reactants.
In option B, the reactants are HF (aq) and NaOH (aq), which would make H₂O(1) and NaF (aq). The charges are balanced, with the reactants having a charge of 0 and the products keeping a charge of -1 + 0 = -1.
In option C, the reactants are HF (aq) and 2NaOH(aq), which will produce H₂O(1) and NaF (aq), but the charges are not balanced. The products would have a charge of -3, which cannot be balanced by the reactants.
Option D has the wrong chemical formulas for the reactants.
Therefore, the correct answer is B. HF (aq) + NaOH (aq).
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What does "DNA only builds in the 5-3 prime direction" mean? Is the leading strand always 5-3 and is the lagging strand always 3-5?
"DNA only builds in the 5'-3' direction" means that the replication of DNA occurs in a specific direction, from the 5' end (the phosphate group) to the 3' end (the hydroxyl group) of each strand.
The leading strand is always 5'-3' because it is synthesized continuously in the direction of the replication fork. On the other hand, the lagging strand is not continuous and must be synthesized in fragments called Okazaki fragments, which are later joined together.
The lagging strand is 3'-5' because it is synthesized in the opposite direction to the leading strand. This is because DNA polymerase, the enzyme responsible for DNA replication, can only add nucleotides to the 3' end of a growing strand.
To replicate the lagging strand, the DNA must be synthesized in short fragments in the opposite direction to the replication fork and then joined together later.
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(C)
C21H44 can be cracked to produce ethene.
Cz1H44 — 3C2H4 + C15H32
Relative formula mass (M) of C21H44 = 296
Calculate the mass of C21H44 needed to produce 50.4 kg of ethene.
Answer:
177.3kg C₂₁H₄₄
Explanation:
Based on the chemical reaction:
C₂₁H₄₄ → 3C₂H₄ + C₁₅H₃₂
Where 1 mole of C₂₁H₄₄ produce 3 moles of ethene, C₂H₄.
To solve this question we need to determine the moles of ethene in 50.4kg. 1/3 these moles are the moles of C₂₁H₄₄ that must be added:
Moles Ethene -Molar mass: 28.05g/mol-
50.4kg = 50400g * (1mol / 28.05g) = 1796.8 moles of ethene
Moles C₂₁H₄₄:
1796.8 moles of ethene * (1 mol C₂₁H₄₄ / 3 mol C₂H₄) = 589.93 moles C₂₁H₄₄
Mass C₂₁H₄₄:
589.93 moles C₂₁H₄₄ * (296g / mol) = 177283g =
177.3kg C₂₁H₄₄PLEASE URGENT HELP!! 30 POINTS!!!!!!
Answer:
CH³–C=CH——CH³–CH=CH²
Explanation:
THIS IS PROPYNE TO PROPENE
What would be most likely to happen if some of the proteins in one of the photosystems were to change shape due to a rise in temperature?.
It cause a decrease in the formation of NADPH.
What is protein ?
Amino acids, which are used to make proteins, are tiny building blocks that are joined together in lengthy chains and number in the hundreds or thousands. Proteins are created by combining 20 different types of amino acids.
What is temperature?
Temperature is an indicator of the system's atoms' or molecules' typical kinetic energy. According to the zeroth law of thermodynamics, when two things are in thermal equilibrium, there is no heat transfer between them and they therefore have the same temperature.
If proteins in photosystem one were to change shape this would cause a decrease in the formation of NADPH.
Therefore, it cause a decrease in the formation of NADPH.
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19 What is the "skin" of the cell?
Answer:
d cell membrane:)
Explanation:
true statements about ozone include which of the following? i. ozone is a precursor of acid rain. ii. contact with ozone can be injurious to human health. iii. ozone absorbs some wavelengths of ultraviolet radiation (a) ii only (b) iii only (c) i and iii only (d) ii and iii only (e) i, ii, and iii
The statements (ii) and (iii) are the true statement which include about ozone . So, option (d) is correct choice.
The ozone layer is the layer that surrounds the earth and contains a high concentration of O₃ ozone. Ozone O₃ is a gas molecule composed of three oxygen atoms. Ozone is commonly known as photochemical "smoke" and is harmful to respiration.
It is formed by the dissociation of two atoms forming oxygen. It is a harbinger of acid rain. Exposure to ozone can harm human health. Ozone absorbs some wavelengths of ultraviolet radiation and protects the earth's surface from dangerous radiation. Therefore, it is clear from the above discussion that (ii) and (iii) are correct statements about ozone.
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A sphere of radius 0.457 m, temperature 32.2 ∘
C, and emissivity 0.924 is located in an environment of temperature 82.9 ∘
C. At what rate does the sphere (a) emit and (b) absorb thermal radiation? (c) What is the sphere's net rate of energy exchange? (a) Number (b) Number Units Units
a) The sphere emits thermal radiation at a rate of 139.75 Watts.
b) The sphere absorbs thermal radiation at a rate of 37.66 Watts.
c) The sphere's net rate of energy exchange is 102.09 Watts.
What are the rates of thermal radiation emission, absorption, and net energy exchange for the sphere?To calculate the rates of thermal radiation emission and absorption, we can use the Stefan-Boltzmann law, which states that the rate of thermal radiation emitted or absorbed by an object is proportional to its surface area, temperature, and the Stefan-Boltzmann constant.
a) The rate of thermal radiation emitted by the sphere can be calculated using the formula:
Emitting Rate = emissivity * surface area * Stefan-Boltzmann constant * (\(temperature^4 - environment\ temperature^4\))
Plugging in the given values:
Emitting Rate = \(0.924 * (4\pi * (0.457)^2) * 5.67 \times 10^{-8} * ((32.2 + 273.15)^4 - (82.9 + 273.15)^4)\)
Emitting Rate ≈ 139.75 Watts
b) The rate of thermal radiation absorbed by the sphere can be calculated in a similar way but using the environment temperature as the object's temperature:
Absorbing Rate = emissivity * surface area * Stefan-Boltzmann constant * (\(environment\ temperature^4 - temperature^4\))
Plugging in the given values:
Absorbing Rate = \(0.924 * (4\pi * (0.457)^2) * 5.67 \times 10^{-8} * ((82.9 + 273.15)^4 - (32.2 + 273.15)^4)\)
Absorbing Rate ≈ 37.66 Watts
c) The net rate of energy exchange is the difference between the emitting rate and the absorbing rate:
Net Rate = Emitting Rate - Absorbing Rate
Net Rate = 139.75 Watts - 37.66 Watts
Net Rate ≈ 102.09 Watts
Therefore, the sphere emits thermal radiation at a rate of 139.75 Watts, absorbs thermal radiation at a rate of 37.66 Watts, and has a net rate of energy exchange of 102.09 Watts.
Note: The units for all the rates are Watts.
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