Observation statements: When the mass of the sun is larger, Earth moves around the sun at a slower pace.
When the mass of the sun is smaller, Earth moves around the sun at a faster pace.
When Earth is closer to the sun, its orbit becomes faster.
When Earth is farther from the sun, its orbit becomes slower.
Hypothesis:
The gravitational force between two objects depends on their masses and the distance between them, as described by the law of universal gravitation. Therefore, if we change the mass of the sun or the distance between Earth and the sun, we should observe changes in the speed and shape of Earth's orbit around the sun.
Results:
Our observations confirm our hypothesis. When we increased the mass of the sun, we noticed that Earth's orbit around the sun became slower.
How to explain the informationConversely, when we decreased the mass of the sun, Earth's orbit became faster. This is consistent with the idea that larger masses exert a stronger gravitational force, which in turn affects the speed and shape of Earth's orbit.
Similarly, when we moved Earth closer to the sun, we observed that its orbit became faster, while moving it farther away from the sun resulted in a slower orbit. This is because the gravitational force between Earth and the sun is stronger when they are closer together, and weaker when they are farther apart. Therefore, the speed and shape of Earth's orbit are influenced by both the mass of the sun and the distance between Earth and the sun.
Overall, our observations suggest that the laws of universal gravitation played a crucial role in the formation and evolution of the Solar System, as they determine the dynamics of planetary motion and the stability of planetary orbits.
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what density will an object have if the mass of it ia 46g and it takes up 561 mL of space?
Several weather variables are used to measure weather conditions. Identify 3 weather variables and their instruments that you would use to observe and collect data to determine the relationship between air mass movements and changes in weather.
The following are three weather variables and the tools that can be used to observe and gather data on them to ascertain how air mass movements and weather changes are related:
Temperature is a crucial factor in comprehending weather conditions and is measured using a thermometer.The quantity of water vapor in the air is known as humidity, and it is measured with a hygrometer. An anemometer and a wind vane are used to measure the speed and direction of the wind, respectively. Temperature: For instance, a high temperature means the air is warm and light, and it will rise. Conversely, if the temperature is low, the air will sink since it is heavy and chilly.Air pressure: High-pressure regions are known for having calm, sunny skies, whereas low-pressure regions are known for having gloomy, stormy skies.Wind speed: The direction of the wind can be used to determine the nature and movement of an air mass. The air mass is traveling from the north to the south, for instance, if the wind is blowing from the north.Scientists can discover patterns and connections between changes in weather and changes in air mass movement by observing and recording data on these meteorological variables.
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*
2. Which of the following is an example of mass?
O A. 7 cm3 of air in a balloon
B. 1 mL of water in a test tube
O C. 4 centimeter piece of string
D. 8 kilograms of bananas
Balance the equations by inserting coefficients as needed.
CaH₂ + H₂O Ca(OH)₂ + H₂
The balanced equation is \(CaH_{2} + 2 H_{2} O = Ca(OH)_{2} + 2 H_{2}\).
The above equation is a redox reaction. A chemical equation is said to be balanced when the total mass of atoms on the reactant and product side are equal. This means that the number of atoms on both side must also be equal.
We have, \(CaH_{2} + H_{2} O = Ca(OH)_{2} + H_{2}\).
The number of atoms of Calcium (one on both sides) and Hydrogen(four on both sides) are equal. Whereas, there are 2 atoms of Oxygen on the right-hand side and only 1 atom of Oxygen on the left-hand side. So, we can put the coefficient of 2 on the molecule that has Oxygen on the left-hand side to balance them out. i.e.,
\(CaH_{2} + 2H_{2} O = Ca(OH)_{2} + H_{2}\)
Now, there are 6 atoms of Hydrogen on the left-hand side but only 4 on the right-hand side. To balance this, we can put the coefficient of 2 on the Hydrogen molecule on the right-hand side.
Thus, we get the final balanced equation as :\(CaH_{2} + 2 H_{2} O = Ca(OH)_{2} + 2 H_{2}\)
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Select the words that correctly complete the sentences. A class uses 10 students to model a lithium atom. Each student represents a particle in the atom. Three students wear signs with a “+” sign, representing (electrons / neutrons / protons). The four students with “0” signs represent (neutrons / protons / electrons ). Each of the remaining students wear a “–” sign, representing (protons / electrons / neutrons)
Answer:
Explanation:
Protons.
Electrons.
Neutrons.
I hope I helped you! :)
Help me out
On another planet, the isotopes of titanium have the given natural abundances.
The average atomic mass of titanium on the given planet is approximately 46.68164 atomic mass units (u). The average atomic mass may vary depending on the specific isotopic composition of titanium found on different celestial bodies or regions.
To calculate the average atomic mass of titanium on the given planet, we need to consider the natural abundances and masses of each isotope of titanium.
The average atomic mass is calculated by multiplying the natural abundance of each isotope by its respective mass and summing them up.
Let's perform the calculation step by step:
Step 1: Multiply the abundance of each isotope by its mass:
(73.700% * 45.95263 u) + (15.000% * 47.94795 u) + (11.300% * 49.94479 u)
Step 2: Calculate the individual contributions from each isotope:
= (0.737 * 45.95263) + (0.150 * 47.94795) + (0.113 * 49.94479)
Step 3: Add up the individual contributions:
= 33.84765431 + 7.1921925 + 5.64179347
Step 4: Sum up the contributions:
= 46.68164 u
Therefore, the average atomic mass of titanium on the given planet is approximately 46.68164 atomic mass units (u).
It's important to note that the calculation assumes the provided natural abundances are accurate and representative of the titanium isotopes on that planet.
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An electron has a
charge.
An electron has a negative charge.
The charge of an electron is a fundamental property of the particle, and it is denoted by the symbol "e." The magnitude of the charge of an electron is approximately 1.602 × 10^-19 coulombs (C). This value is considered the elementary charge and is used as a reference for other charges. The charge of an electron plays a significant role in determining the behavior and interactions of atoms and molecules. It is opposite in sign to the charge of a proton, which is positive. The electron's charge allows it to interact with other charged particles, such as protons and ions, through electrostatic forces. Electrons are subatomic particles that orbit the nucleus of an atom in specific energy levels or orbitals. They contribute to the overall stability and chemical properties of atoms and participate in chemical bonding and reactions. The movement of electrons between atoms is what enables the formation of chemical bonds and the sharing or transfer of electrons to create ions. In summary, the charge of an electron is negative, and it plays a fundamental role in the structure and behavior of atoms and molecules.
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write 0.006 in exponential form
\(\huge\pink{Answer}\)
0.0006 in scientific notation is 6 × 10-4
Step by step Explanation:All numbers in scientific notation or standard form are written in the form
m × 10n, where m is a number between 1 and 10 ( 1 ≤ |m| < 10 ) and the exponent n is a positive or negative integer.
To convert 0.0006 into scientific notation, follow these steps:
Move the decimal 4 times to right in the number so that the resulting number, m = 6, is greater than or equal to 1 but less than 10
Since we moved the decimal to the right the exponent n is negative
n = -4
Write in the scientific notation form m × 10n
= 6 × 10-4
Therefore,
6 × 10-4 is the scientific notation form of 0.0006 number and 6e-4 is the scientific e-notation form for 0.0006
HOPE IT HELPS ☺️Use your understanding of the ideal gas law to
identify the correct relationships among the
variables.
Pressure is
Temperature is
Volume is
Moles are
The ideal gas relationships among the variables are PV = nRT
An ideal gas is a theoretical gas composed of many randomly transferring factor particles that aren't difficult to interparticle interactions. the best gasoline idea is beneficial because it obeys the precise gas law, a simplified equation of country, and is amenable to evaluation under statistical mechanics.
Volume is a degree of occupied three-dimensional space. it's far more frequently quantified numerically the usage of SI-derived gadgets or by way of diverse imperial gadgets. The definition of length is interrelated with the extent.
An ideal gas is described as one for which both the extent of molecules and forces between the molecules are so small that they have got no effect on the behavior of the gas. The real gas that acts almost like a really perfect gasoline is helium. that is due to the fact helium, in contrast to maximum gases, exists as an unmarried atom, which makes the van der Waals dispersion forces as low as viable
relation
PV = nRT
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The United States experienced a decrease in the real GDP, high inflation, and a
rising unemployment rate. The United States
was in the middle of an economic boom
appeared to be entering a recession
was in an economic slump
was in a stagnant economic period
The United States experienced a decrease in the real GDP, high inflation, and arising unemployment rate.
The United States appeared to be entering a recession.A recession is a decline in economic activity, characterized by declining GDP, high unemployment rates, and increased unemployment benefits. Economic analysts and the media commonly use a two-quarter consecutive decline in real GDP as a definition of a recession.
The United States is considered to have entered a recession in the 1970s, which was characterized by an energy crisis, inflation, and recession. However, by the end of the decade, the economy had improved, and it entered into the 1980s with a strong economic performance.
The 1970s were a period of high inflation, low growth, and an oil crisis, which had a significant impact on the United States economy. Therefore, it can be concluded that The United States was in the middle of an economic boom before the 1970s recession and entered a recession in the 1970s due to a decrease in the real GDP, high inflation, and arising unemployment rate.
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characteristics. of. rusting
Answer: metal turn orange and weaker as it gets oxidised
Explanation:
What volume (in L) of 1.20 M FeCl₂ would be required to obtain 0.850 moles of Cl⁻ ions?
Therefore, the volume of 1.20 M FeCl₂ required to obtain 0.850 moles of Cl⁻ ions is 0.354 L.
What is Moles?
One mole of a substance is defined as the amount of that substance that contains the same number of entities, such as atoms, molecules, or ions, as there are in 12 grams of carbon-12. This number, known as Avogadro's number, is approximately 6.022 x 10²³.
The molecular formula for FeCl₂ shows that it contains 2 chloride ions (Cl⁻) for each FeCl₂ molecule. Therefore, the number of moles of Cl⁻ ions is twice the number of moles of FeCl₂.
Given that we want to obtain 0.850 moles of Cl⁻ ions, we can calculate the number of moles of FeCl₂ required as follows:
moles of FeCl₂ = 0.850 moles Cl⁻ ions / 2 = 0.425 moles FeCl₂
To calculate the volume of 1.20 M FeCl₂ required to obtain 0.425 moles, we can use the formula:
moles = concentration (in M) x volume (in L)
Rearranging this formula to solve for volume, we get:
volume (in L) = moles / concentration (in M)
Substituting the values we have, we get:
volume (in L) = 0.425 moles / 1.20 M = 0.354 L
Therefore, the volume of 1.20 M FeCl₂ required to obtain 0.850 moles of Cl⁻ ions is 0.354 L.
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What is the volume of foil for 14.45cm times 8.55 cm times 0.550 g
The volume of foil for 14.45cm times 8.55 cm times 0.550 g is
67.95 cm^3
Volume = lenght * breadth * height
= 14.45cm * 8.55 cm * 0.550 cm
= 67.95 cm^3
Volume is the amount of space an object take upA measure of the size of a body or region in three-dimensional space.amount of space occupied by an object L x W x Hcubic centimeters is the basic unit for measuring the volume of solids and gasesvolume is a Three Dimensional existing in three dimensions; having length, width, and height.Cubic Yard is the volume of a cube is one yard on each side.Cubic Meter is the volume of a cube is one meter on each side.To know more about Volume visit :
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How many grams of propionic acid are produced by the reaction of 135.8 g of K2Cr2O7?
The mass of the acid that is produced is 17.02 g.
How do we find the mass of the propionic acid?We have to know something about the idea of stoichiometry to enable us to be able to find out the mass of the propionic acid that can be produced in this reaction.
When we look at the reaction equation, we can see that it taken two moles of the dichromate to be able to produce one mole of the propionic acid and also, the molar mass of the dichromate is
By the use of this fact;
Number of moles of the dichromate = 135.8 g/294 g/mol = 0.46 moles
2 moles of the dichromate produced 1 mole of the propionic acid
0.46 moles produces
0.46 moles * 1 mole / 2 moles
= 0.23 moles
Mass of the acid = 0.23 moles * 74 g/mol = 17.02 g
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Question 3Describe the energy in nuclear fuel and the way in witch it’s converted to electrical energy
The energy in nuclear fuel comes from the fission (splitting) or fusion (merging) of atomic nuclei. When the nucleus of an atom is split or merged, a large amount of energy is released in the form of heat and radiation. This energy is known as nuclear energy, and it is one of the most concentrated forms of energy known to us.
To convert nuclear energy into electrical energy, we typically use a nuclear reactor, which is a device that uses controlled nuclear reactions to generate heat. The heat is then used to produce steam, which drives a turbine connected to a generator. The generator converts the mechanical energy of the turbine into electrical energy, which can be distributed to homes and businesses through a power grid.
In more detail, the nuclear reactor contains fuel rods that are made of a radioactive material, such as uranium-235 or plutonium-239. When a neutron strikes the nucleus of one of these atoms, it causes the nucleus to split into two smaller nuclei, along with the release of additional neutrons and a large amount of heat. This process is known as nuclear fission, and it is sustained in the reactor by controlling the rate of neutron production and absorption.
The heat produced by nuclear fission is transferred to a coolant, such as water or gas, which carries the heat to a heat exchanger. In the heat ex
Which element has a full valance shell of eight electrons?
Fluorine
Oxygen
Neon
Sodium
Answer:
Neon
Explanation:
All noble gases have 8 valence electrons except helium.
Noble gases include Helium, neon, argon, krypton, xenon, redon.
Electronic configuration of neon:
Ne₁₀ = [He] 2s² 2p⁶
All other options are incorrect because,
Electronic configuration of Fluorine:
F₉ = [He] 2s² 2p⁵
Fluorine have seven valence electrons.
Electronic configuration of oxygen:
O₈ = [He] 2s² 2p⁴
Oxygen have six valence electrons.
Electronic configuration of sodium:
Na₁₁ = [Ne] 3s¹
sodium have one valence electron.
Which statement best describes the polarity of the molecule Pl3?
Phosphorus triiodide is a nonpolar molecule.
Why is PI3 non polar?We have to note that the polarity of a molecule would have a lot to do with the shape of the molecule. In other words, the arrangement of the atoms in the molecules tell us if the molecule would be polar or not.
The three iodine atoms are symmetrically positioned around the center phosphorus atom because the molecule has a trigonal pyramidal structure. As a result, the three P-I bonds' respective dipole moments cancel out and provide a net dipole moment of zero.
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Which portion of a molecule of F2O has partial positive charge?
Question 3 options:
A)
The F atoms
B)
The central O atom
C)
The partial charge on each atom is zero
D)
The partial charge on each atom is negative
The partial charges on each fluorine atom are negative. Option B) The central O atom is the correct answer. Option B
The partial charges in a molecule are determined by the electronegativity values of the atoms involved. Electronegativity is the ability of an atom to attract electrons towards itself in a chemical bond. In the case of \(F_2O\), fluorine (F) is more electronegative than oxygen.
Fluorine is the most electronegative element on the periodic table, meaning it has a high ability to attract electrons. Oxygen is also relatively electronegative but less so than fluorine. When fluorine atoms bond with oxygen, the shared electrons will be pulled more towards the fluorine atoms, creating a polar covalent bond.
In \(F_2O\), each fluorine atom will pull the shared electrons towards itself, resulting in a higher electron density around the fluorine atoms. This creates a region of partial negative charge around the fluorine atoms.
Conversely, the oxygen atom will have a region of lower electron density and, therefore, a partial positive charge. This is because the shared electrons spend more time around the fluorine atoms due to their higher electronegativity.
Option B
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Which statement about the relationship between laws, hypotheses, and theories is true?
The burning of fossil fuels, like coal, oil, and natural gas, DO NOT contribute to the presence of greenhouse gases in the atmosphere.
True
or
False
Answer:
false statements because they are all nonrenewable resources
Write any four difference between metals and non metals.
Answer:
metals are malleable and ductile.
Non metals are non malleable and ductile.
Metals are good conductor of heat and electricity.
Non metals are bad conductor of heat and electricity.
Metals are lustrous.
Non metals are non lustrous.
Metals are strong and tough.
Non metals are not strong or tough.
Hope it helps you.Thank you
Answer:
1metal are good conductor of heat and electricity
2metal are ductile and mellability .
3it doesnot get brittle .
4metal are hard .
and for nonmetle you can just add
the local high school recently passed a rule reducing how much teachers can count homework as a part of a student's grade. Consequently, a larger portion of the students stop doing their homework. A teacher there decides to conduct there experiment. All of his classes get an optional ''test guide'' to help them study for their test.
An experiment occurs when we want to study the relationship between the dependent and the independent variable. We know that the independent variable is the variable that is manipulated in the experiment and the dependent variable variable is the variable that undergoes a change as we change the independent variable.
It must be known that an experiment is the only way that we could be able to establish a cause and effect relationship. In other words, the results of an experiment tell us categorically if the effect owes to a supposed cause as was captured in the hypothesis of the experiment.
In this case we have the following in this experiment;
The independent variable is the use or absence of the test guide
The dependent variable is the overall performance in the academic year
The control group is the group that did not use the test guides
The experimental group is the group that used the test guides
The constants are the method of instruction, the structure of the test and the difficulty of the test.
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Missing parts;
The local high school recently passed a rule reducing how much teachers can count homework as part of a student's grade. Consequently, a larger portion of the students stop doing their homework. A teacher there decides to conduct an experiment. All of his classes get an optional "test guide" to help them study for their tests. He allows two classes to use the "test guides" (that they must fill in and complete) on their exams. He hypothesizes that students will complete the test guides and learning will occur from filling them out. In his other 2 classes, the teacher does not allow students to use test guides on the exam, and consequently very few of them filled them out. After the 2017-2018 year is over, he wants to compare scores between the 4 classes on the final exam to see if allowing students to use test guides during each test throughout the year improved their later overall performance.
Independent Variable: _____________________________ Dependent Variable: ___________________________________
Experimental Group: _______________________________ Control Group: _________________________________________
3 constants: ______________________________________________________
I need some help on this question please!
A chemist has 3.45 x 1022 molecules of P2O5. How many grams of P2O5 does the chemist have?
Thanks to anyone who helps!
To convert the number of molecules of P₂O₅ to grams, we need to use the Avogadro's number and the molar mass of P₂O₅ .
How many grams of P₂O₅ does the chemist have according to the question?The molar mass of P₂O₅ can be calculated as follows:
2 × molar mass of P + 5 × molar mass of O
= 2 × 30.97 g/mol + 5 × 15.99 g/mol
= 61.94 g/mol + 79.95 g/mol
= 141.89 g/mol
Therefore, the molar mass of P₂O₅ is 141.89 g/mol.
Now, we can use Avogadro's number to convert the number of molecules to moles:
3.45 × 10²² molecules / 6.022 × 10²³ molecules/mol
= 0.0573 moles
Finally, we can use the molar mass of P₂O₅ to convert moles to grams:
0.0573 moles × 141.89 g/mol = 8.14 grams
Therefore, the chemist has 8.14 grams of P₂O₅ .
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How would you prepare 0.400L of 0.155M Sr(OH)2 from solid Sr(OH)2?
Initially, we will consider only solutions of a solid in ... (d) Calculate the volume (in mL) of 0.1065 M Sr(OH)2 required to titrate 25.00 mL of 0.2465 M.
:
Explanation:
Calculate the number of hydrogen atoms in a 110.0 sample of tetraborane(B4H10) . Be sure your answer has a unit symbol if necessary, and round it to 4 significant digits.
Answer:
\(1.242 \times 10^{25}\text{ atoms H}\)
Explanation:
You must convert the mass of B₄H₁₀ to moles of B₄H₁₀, then to molecules of B₄H₁₀, and finally to atoms of H.
1. Moles of B₄H₁₀
\(\text{Moles of B$_{4}$H}_{10} = \text{110.0 g B$_{4}$H}_{10} \times \dfrac{\text{1 mol B$_{4}$H}_{10}}{\text{53.32 g B$_{4}$H}_{10}} = \text{2.063 mol B$_{4}$H}_{10}\)
2. Molecules of B₄H₁₀
\(\text{No. of molecules} = \text{2.063 mol B$_{4}$H}_{10} \times \dfrac{6.022 \times 10^{23}\text{ molecules B$_{4}$H}_{10}}{\text{1 mol B$_{4}$H}_{10}}\\\\=1.242 \times 10^{24}\text{ molecules B$_{4}$H}_{10}\)
3. Atoms of H
\(\text{Atoms of H} = 1.242 \times 10^{24}\text{ molecules B$_{4}$H}_{10} \times \dfrac{\text{10 atoms H}}{\text{1 molecule B$_{4}$H}_{10}}\\\\= \mathbf{1.242 \times 10^{25}}\textbf{ atoms H}\)
What is the primary function of the chromosome?
Answer:
Store the genetic instructions needed to specify traits.
In DNA, the primary function of chromosome is store the genetic instructions needed to specify traits.
What is DNA?
DNA is a hereditary material which is present in human beings as well as all other living organisms. Every cell which is present in an organism's body has DNA which is the same. Most of the DNA is situated in the cell's nucleus and small amount of it can be found in the cell's mitochondria as well.
Information which is stored in DNA is stored as codes made up of four chemical bases namely, adenine, thymine , cytosine and guanine.Human DNA consists of 3 billion bases .The order of the bases determines information which is required for building and maintaining an organism.
DNA bases are capable of pairing up with each other. Adenine pairs with thymine and guanine pairs up with cytosine .Each base is also attached to a sugar molecule and a phosphate group. A base, phosphate sugar are together called as nucleotides.
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HELP ME SOLVE THIS NEUTRAL REDOX REACTION USING HALF METHOD, I BEEN STUCK ON IT FOR 2 HOURS
H6TeO6 + Br2 = TeO2 + BrO3-
The balanced equation of the redox reaction is given as follows:
5 H₆TeO₆ + 2 Br₂ + 12 H₂O → 5 TeO₂ + 4 BrO₃⁻ + 24 H⁺What is the balanced equation of the reaction?The balanced equation of the reaction is determined using the half-reaction method.
The given equation of the redox reaction is:
H₆TeO₆ + Br₂ ----> TeO₂ + BrO₃⁻
Reduction half-reaction:
H₆TeO₆ → TeO₂
The oxidation state of Te changes from +6 to +4, showing that it has lost gained electrons.
H₆TeO₆ → TeO₂ + 2e⁻
Oxidation half-reaction:
Br₂ → BrO₃⁻
The oxidation state of Br changes from 0 to +5, showing that it has lost five electrons.
Balancing the electrons transferred and the atoms by adding electrons, H₂O, and H⁺ to the appropriate sides:
Br₂ + 6 H₂O → 2 BrO₃⁻ + 12 H⁺ + 10 e⁻
The number of electrons transferred in both half-reactions balanced is by multiplying the oxidation half-reaction by 5 and the reduction half-reaction by 2:
5 (H₆TeO₆ → TeO₂ + 2 e⁻) → 5 H₆TeO₆ → 5 TeO₂ + 10 e⁻
2 * (Br₂ + 6H₂O → 2 BrO₃⁻ + 12 H⁺ + 10e⁻) → 2 Br₂ + 12 H₂O → 4 BrO₃⁻ + 24 H⁺ + 20 e⁻
The two half-reactions are added together and the electrons are canceled out to obtain the balanced redox reaction:
5 H₆TeO₆ + 2 Br₂ + 12 H₂O → 5 TeO₂ + 4 BrO₃⁻ + 24 H⁺
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What is the length of the pencil in cm?
Answer:
16 cm
Explanation:
Because when you look at the ruler, it shows the length as 16 cm
how to synthesize 2-benzyl pentanoic acid from acetoacetic ester?
If you're attempting to synthesize 2 benzyl pentanoic acid from acetoacetic ester, keep in mind that you can do so fairly quickly by following these simplified instructions:
Begin by dissolving your acetoacetic ester into anhydrous diethyl ether and adding benzyl bromide and sodium hydroxide to the mix. Stir it all together at room temperature for around thirty minutes before reacting it with hydrochloric acid so that any remaining solvent evaporates out of your crude mixture; Lastly refine your creation by recrystallizing it from ethanol until you have pure 2 benzyl pentanoic acid.What is acetoacetic ester?From its pungent free scent to its solid state at temperatures ranging from 118 120°C, acetoacetic ester (better known as ethyl acetoacetate) offers significant value for those working within organic synthesis.
As one of many potent ketones utilized by researchers around the globe its unique properties make it ideal for building complex molecules essential for modern medicine and more.
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Starting with 0.3500 mol CO(g) and 0.05500 mol COCl2(g) in a 3.050 L flask at 668 K, how many moles of CI2(g) will be present at equilibrium?
CO(g) + Cl2(g)》COCl2(g)
Kc= 1.2 x 10^3 at 668 K
At equilibrium, the number of moles of \(Cl_2\) (g) will be 0.2025 mol.
1: Write the balanced chemical equation:
\(C_O\)(g) + \(Cl_2\)(g) ⟶ \(C_OCl_2\)(g)
2: Set up an ICE table to track the changes in moles of the substances involved in the reaction.
Initial:
\(C_O\)(g) = 0.3500 mol
\(Cl_2\)(g) = 0.05500 mol
\(C_OCl_2\)(g) = 0 mol
Change:
\(C_O\)(g) = -x
\(Cl_2\)(g) = -x
\(C_OCl_2\)(g) = +x
Equilibrium:
\(C_O\)(g) = 0.3500 - x mol
\(Cl_2\)(g) = 0.05500 - x mol
\(C_OCl_2\)(g) = x mol
3: Write the expression for the equilibrium constant (Kc) using the concentrations of the species involved:
Kc = [\(C_OCl_2\)(g)] / [\(C_O\)(g)] * [\(Cl_2\)(g)]
4: Substitute the given equilibrium constant (Kc) value into the expression:
1.2 x \(10^3\) = x / (0.3500 - x) * (0.05500 - x)
5: Solve the equation for x. Rearrange the equation to obtain a quadratic equation:
1.2 x \(10^3\) * (0.3500 - x) * (0.05500 - x) = x
6: Simplify and solve the quadratic equation. This can be done by multiplying out the terms, rearranging the equation to standard quadratic form, and then using the quadratic formula.
7: After solving the quadratic equation, you will find two possible values for x. However, since the number of moles cannot be negative, we discard the negative solution.
8: The positive value of x represents the number of moles of \(Cl_2\)(g) at equilibrium. Substitute the value of x into the expression for \(Cl_2\)(g):
\(Cl_2\)(g) = 0.05500 - x
9: Calculate the value of \(Cl_2\)(g) at equilibrium:
\(Cl_2\)(g) = 0.05500 - x
\(Cl_2\)(g) = 0.05500 - (positive value of x)
10: Calculate the final value of \(Cl_2\) (g) at equilibrium to get the answer.
Therefore, at equilibrium, the number of moles of \(Cl_2\) (g) will be 0.2025 mol.
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