The mass of each gas present in a 1.10 L sample of the gas mixture at 25.0 °C is as follows:
Mass of N2: 0.0462 gMass of O2: 0.0309 gMass of He: 0.0213 gTo calculate the mass of each gas, we need to use the ideal gas law and the partial pressure of each gas.
First, we calculate the number of moles of each gas using the equation:
n = PV / RT
For N2:
n(N2) = (236 torr * 1.10 L) / (0.0821 L·atm/mol·K * 298.15 K) = 0.0100 moles
For O2:
n(O2) = (159 torr * 1.10 L) / (0.0821 L·atm/mol·K * 298.15 K) = 0.0067 moles
For He:
n(He) = (131 torr * 1.10 L) / (0.0821 L·atm/mol·K * 298.15 K) = 0.0055 moles
Next, we calculate the mass of each gas using their respective molar masses:
Mass = moles * molar mass
For N2:
Mass(N2) = 0.0100 moles * 28.0134 g/mol = 0.280 g ≈ 0.0462 g
For O2:
Mass(O2) = 0.0067 moles * 31.9988 g/mol = 0.216 g ≈ 0.0309 g
For He:
Mass(He) = 0.0055 moles * 4.0026 g/mol = 0.022 g ≈ 0.0213 g
Therefore, the mass of each gas in the given gas mixture is approximately:
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The camel stores the fat tristearin
(C57H110O6) in its hump. As well as being
a source of energy, the fat is also a source of
water because, when it is used, the reaction
2 C57H110O6(g) + 163 O2(g)
114 CO2(g) + 110 H2O(ℓ)
takes place. What mass of water is available
from 4.2 pound of this fat?
4.2 pounds of tristearin contains approximately 990.825 grams or 2.184 pounds of water.
The chemical formula of tristearin (C57H110O6) states that it is made up of 57 carbon atoms, 110 hydrogen atoms, and 6 oxygen atoms. It is a saturated fat commonly found in animal and vegetable fats. A camel stores the fat tristearin in its hump, which is a source of energy as well as water. The reaction that takes place when tristearin is used in the body is as follows:2 C57H110O6(g) + 163 O2(g) → 114 CO2(g) + 110 H2O(l)We need to calculate the mass of water that is available from 4.2 pounds of tristearin. The first step is to convert 4.2 pounds to grams.1 pound = 453.592 gramsTherefore,4.2 pounds = 4.2 x 453.592 = 1910.9424 grams Next, we need to calculate the molar mass of tristearin.Molar mass of C57H110O6 = (57 x 12.01) + (110 x 1.01) + (6 x 16.00) = 909.51 g/molThe equation tells us that 2 moles of tristearin react with 163 moles of oxygen to produce 110 moles of water. Therefore, we can calculate the number of moles of tristearin in 1910.9424 grams.(1910.9424/909.51) moles of tristearin = 2.100 moles of tristearin According to the equation, 2 moles of tristearin produce 110 moles of water. Therefore, 2.100 moles of tristearin will produce 110/2 = 55 moles of water.The mass of 55 moles of water is given by:Mass = number of moles x molar mass of water= 55 x 18.015 g/mol= 990.825 grams.
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When the medium is uniform, how do light waves travel through it?
a. vibrating motion
b. circular motion
c. irregular motion
d. straight line motion
Answer:
d.straight line motion
Answer:
d.) straight line motion
Explanation:
i just took the k12 test
Consider atoms of the following elements. Assume that the atoms are in the ground state.
(A) S (B) Ca (C) Ga (D) Sb (E) Br
1. The atom that contains exactly two unpaired elec¬trons
2. The atom that contains only one electron in the highest occupied energy sublevel
(A) Sulfur (S) is the atom that contains exactly two unpaired electrons, and (E) Bromine (Br) is the atom that contains only one electron in the highest occupied energy sublevel.
(A) Sulfur (S) has an electron configuration of 1s² 2s² 2p⁶ 3s² 3p⁴. The highest energy level, or valence shell, for sulfur is the third energy level (n = 3). The 3p sublevel has four electrons (3p⁴), and among them, two are unpaired. These two unpaired electrons in the 3p sublevel make sulfur the atom that contains exactly two unpaired electrons.
(E) Bromine (Br) has an electron configuration of 1s² 2s² 2p⁶ 3s² 3p⁶ 4s² 3d¹⁰ 4p⁵. The highest occupied energy level for bromine is the fourth energy level (n = 4). The highest energy sublevel within the fourth energy level is the 4p sublevel. In the 4p sublevel, there are five electrons (4p⁵), and only one electron is needed to complete the sublevel. Thus, bromine contains only one electron in the highest occupied energy sublevel.
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**EASY**
QUESTION IN PICTURE
Please , quick help! I know this but I can’t think of it when I need it if yk what i mean lol!
Rank the following solutions in order of how acidic they are from most acidic to least acidic. (1 point) Solution A: [H3O+] of 1 x 102 M Solution B: pH 5 Solution C: [H3O+] of 1 x 10-11 M Solution D: [H3O+] of 1 x 107M Solution E: pH 9
To rank the solutions in order of acidity from most acidic to least acidic, we need to compare the concentrations of hydronium ions or pH values. Lower pH values indicate higher acidity, while higher concentrations also correspond to higher acidity.
Let's analyze each solution and determine their relative acidity:
1. Solution C: [H3O+] of 1 x 10-11 M
This solution has the lowest concentration of hydronium ions, indicating the highest acidity among the given options. Therefore, it is the most acidic solution.
2. Solution D: [H3O+] of 1 x 107 M
This solution has a significantly higher concentration of hydronium ions compared to Solution C but lower than the remaining options. It is less acidic than Solution C but more acidic than the remaining options.
3. Solution A: [H3O+] of 1 x 102 M
This solution has a higher concentration of hydronium ions compared to Solutions C and D but lower than Solution B. It is less acidic than Solutions C and D but more acidic than the remaining options.
4. Solution B: pH 5
The pH value of 5 corresponds to a [H3O+] concentration of 1 x 10-5 M. This solution has a higher concentration of hydronium ions than Solutions C, D, and A but lower than Solution E. It is less acidic than Solution C, D, and A but more acidic than Solution E.
5. Solution E: pH 9
The pH value of 9 corresponds to a [H3O+] concentration of 1 x 10-9 M. This solution has the highest pH value and the highest [H3O+] concentration among the given options. It is the least acidic solution.
Based on this analysis, the solutions ranked from most acidic to least acidic are:
1. Solution C: [H3O+] of 1 x 10-11 M
2. Solution D: [H3O+] of 1 x 107 M
3. Solution A: [H3O+] of 1 x 102 M
4. Solution B: pH 5
5. Solution E: pH 9
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At STP, iodine, I2, is a crystal, and fluorine, F2, is a gas. Iodine is soluble in ethanol, forming a tincture of iodine. A typical tincture of iodine is 2% iodine by mass.
66 Compare the strength of the intermolecular forces in a sample of I2 at STP to the strength of the intermolecular forces in a sample of F2 at STP
At STP (Standard Temperature and Pressure), iodine is present in a crystalline form, whereas fluorine is in a gaseous form. Iodine is also soluble in ethanol and produces a tincture of iodine. Typically, a 2% iodine mass is present in a tincture of iodine.
The strength of the intermolecular forces in I2 (iodine) at STP is significantly higher than the strength of the intermolecular forces in F2 (fluorine) at STP. This is because of the difference in the bonding type, which is the primary factor that affects the strength of the intermolecular forces. Iodine is bonded covalently in its crystalline form, with every I2 molecule sharing electrons with another I2 molecule, making it a very strong intermolecular force. This bond is also known as a covalent bond. On the other hand, fluorine is bound by weak van der Waals forces due to its gaseous form, which are primarily dipole-dipole interactions. Since they are less polar, the van der Waals forces in F2 are weaker than in I2. These intermolecular forces are weaker because fluorine is in a gaseous form, while iodine is in a crystalline form. Hence, the strength of the intermolecular forces in I2 is much greater than the strength of the intermolecular forces in F2.For such more question on intermolecular
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At STP, iodine (I2) is a solid crystal and fluorine (F2) is a gas. A sample of I2 at STP is held together by van der Waals forces, which are weaker intermolecular forces. On the other hand, a sample of F2 at STP is held together by much stronger intermolecular forces than I2 due to its smaller size.
Therefore, F2 has stronger intermolecular forces than I2. It can be explained in a long answer as follows:At standard temperature and pressure, iodine (I2) is a solid crystalline substance. Its physical state is a solid because the intermolecular forces that bind the iodine molecules together are weak van der Waals forces. These forces are much weaker than chemical bonds, and they hold molecules in a condensed phase like a liquid or a solid. The forces of attraction between the iodine atoms in I2 are much weaker than the forces of attraction between the fluorine atoms in F2.
As a result, the boiling point of I2 is much lower than the boiling point of F2. F2 is a gas at STP since it is held together by much stronger intermolecular forces than I2 due to its smaller size. Fluorine has an electron density that is spread out over a larger area than iodine, making it more polarizable. The larger polarizability leads to stronger instantaneous dipoles and, as a result, stronger London dispersion forces. Since intermolecular forces are responsible for determining the physical state of a substance, F2 is a gas, whereas I2 is a solid. As a result, F2 has stronger intermolecular forces than I2.
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A plot of the Maxwell distribution of veloc- ities for a number of different gases measured at the same temperature shows that O, as the molecular mass increases, the spread of speeds widens. ,as molecular mass increases, fewer molecules have speeds close to their average speed. as the molecular mass increases, a higher pro- portion of molecules have very high speeds. as molecular mass increases, the distribution stays the same. as the molecular mass increases, the average speed decreases.
The Maxwell distribution of velocities describes the distribution of speeds of gas molecules at a given temperature. It is based on the kinetic theory of gases and provides insights into the behavior of gas molecules.
As the molecular mass of a gas increases, several characteristics of the Maxwell distribution change. Firstly, the spread of speeds widens. This means that the range of velocities observed for heavier gases becomes broader compared to lighter gases. In other words, the distribution of speeds becomes more spread out Secondly, fewer molecules have speeds close to their average speed. The average speed of gas molecules is determined by the temperature, but as the molecular mass increases, the likelihood of individual molecules having speeds very close to the average decreases. This suggests that there is a greater dispersion or variation in the speeds of molecules in heavier gases. Lastly, as the molecular mass increases, a higher proportion of molecules have very high speeds. This means that heavier gas molecules are more likely to exhibit velocities that are significantly higher than the average speed. This trend can be attributed to the increased mass of the molecules, which affects their kinetic energy and consequently their speeds.
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find the oxidation number of hydrogen in HNC.
Answer:
+1
Explanation:
The oxidation number of Hydrogen atom is +1. As Nitrogen is more electronegative than Carbon, the oxidation number of Nitrogen is - 3. The Net charge on the compound is zero.
(hope that helps)
You push a wagon that has a mass of 24 kg. If the net force on the wagon is 5 N south, what is the wagon's acceleration?
2. How many moles of salt are present in 1.5L of a 5.OM salt water solution?
Answer:
There are 7.5 moles of salt
Explanation:
5.0M means that in every liter of solution, there are 5 moles of salt. So, 1.5L of solution times 5 moles per liter equals 7.5 moles
What do you predict might happen if groundwater sources around the world continue to be depleted faster than they are restored?
I'll mark brainliest!
With respect to hemoglobin loading, please explain the relationship between binding of oxygen (O2) and carbon monoxide (CO) to the hemoglobin molecules
The binding of oxygen and carbon monoxide to hemoglobin is determined by their affinities for the heme iron center in the hemoglobin molecule.
Their affinities for the heme iron center in the hemoglobin molecule control the binding of oxygen and carbon monoxide to hemoglobin. Compared to oxygen, hemoglobin has a stronger affinity for carbon monoxide. This affinity results from the stronger bond that carbon monoxide forms with heme iron. An open coordination site on the iron atom in the heme group allows for interactions with either oxygen or carbon monoxide.
Compared to the bond formed by oxygen and iron, the one formed by carbon monoxide is both more potent and stable. As a result, hemoglobin shows a preference for binding carbon monoxide over oxygen when both gases are present.
Serious consequences for human health may result from this predilection for carbon monoxide binding. Hemoglobin quickly bonds to carbon monoxide molecules in situations when carbon monoxide is present, such as in cases of carbon monoxide poisoning, which decreases hemoglobin's ability to deliver oxygen. Life-threatening oxygen depletion in tissues and organs can result from this. Due to hemoglobin's high affinity for carbon monoxide, even very low levels of this gas can have a major impact on the body's ability to carry oxygen.
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If the Earth did not have internal energy, explain what would happen to the carbon cycle and why?
Answer: Carbon cycle wouldn't be able to create rock formation. Respiration, consumption, combustion (such as fossil burning) are all part of the carbon cycle. They would all be possible without internal energy. Except rock formation.
Explanation:
Which of the following stretches tend to be the least intense?
a. O-H (alcohol)
b. O-H (carboxylic acid)
c. C-H
d. C=O
e. C=C
Among the given options, the stretch that tends to be the least intense is the C-H stretch (option c). This is because the C-H bond is relatively weaker compared to other bonds, such as O-H.
Option (c) is correct.
When a molecule undergoes a vibrational stretch, the intensity of the stretch is influenced by the strength of the bond being stretched. In general, stronger bonds require more energy to stretch, resulting in higher intensity vibrational modes. Weaker bonds require less energy and have lower intensity vibrational modes.
The C-H bond is typically considered to be relatively weak compared to other bonds, such as O-H or C=O. As a result, the stretching of C-H bonds tends to have a lower intensity compared to the stretching of other bonds. This means that the C-H stretch is typically less intense and requires less energy to occur.
Therefore, the correct option is (c) C-H bond.
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If a radioactive isotope has a half-life of 400 million years, how long will it take for 50% of the material to change to the daughter product?
If a radioactive isotope has a half-life of 400 million years, it will take 400 million years for 50% of the material to change to the daughter product.
How long it takes for half of the radioactive atoms to decay is known as the half-life of the isotope. A radioactive isotope's half-life is the amount of time it takes for half of the parent material to decay to the daughter product. It's worth noting that a half-life isn't a fixed amount of time for each radioactive isotope.
The following formula can be used to calculate the amount of radioactive isotope remaining after a given period of time:
t=ln(N₀/N) / λ
Where:
t= time elapsedN₀= initial quantity of isotopeN= quantity of isotope after a given timeλ= decay constantFor this problem, we need to solve for the time (t) at which 50% of the radioactive isotope has decayed:
0.5N₀ = N₀ e^(-λt)
0.5 = e^(-λt)
t = ln(0.5) / (-λ)
We know that the half-life of this isotope is 400 million years, which means that λ is equal to:
ln(2) / (400,000,000 years)
λ = 0.00000000017 / year
Substituting that value into the formula:
t = ln(0.5) / (-0.00000000017 / year)
t ≈ 400,000,000 years
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A compound or material formed by a chemical reaction is known as the ____ of that reaction.
Answer:
Its is the product.
Explanation:
how many moles are 2.54×10^29 molecules of H20
Answer:
Explanation: The number of atoms is an exact number, the number of mole is an exact number; they do not affect the number of significant figures. The average mass of one mole of H2O is 18.02 grams. This is stated: the molar mass of water is 18.02 g/mol.
Consider the vaporization of liquid water to steam at a pressure of 1 atm. In what temperature range is it a spontaneous process?
The vaporization of liquid water to steam is a spontaneous process when the temperature is above its boiling point at a pressure of 1 atm.
At 1 atm, the boiling point of water is 100 degrees Celsius or 212 degrees Fahrenheit. When the temperature of the water reaches or exceeds this value, the average kinetic energy of the water molecules increases, allowing more molecules to overcome the intermolecular forces and escape into the gas phase. At temperatures below the boiling point, water molecules have lower average kinetic energy, and the intermolecular forces between the water molecules are stronger. In this case, the rate of evaporation is slower, and the process is non-spontaneous. However, it is important to note that even at temperatures below the boiling point, water molecules with higher kinetic energy can still evaporate from the surface. Above the boiling point, the kinetic energy of the water molecules is sufficient to overcome the intermolecular forces completely, and the evaporation process becomes more rapid and spontaneous. The water molecules have enough energy to transition into the gas phase without requiring additional external energy input. It is crucial to maintain a temperature within the appropriate range to ensure a spontaneous vaporization process. If the temperature falls below the boiling point, the process may slow down or stop altogether. Conversely, if the temperature rises significantly above the boiling point, it may result in superheating, where the water remains in the liquid state despite being above the boiling point. This can be unstable and potentially lead to a sudden, explosive boiling known as a "bump." Therefore, maintaining a temperature within the range of the boiling point of water at 1 atm pressure ensures a spontaneous and controlled vaporization process.
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how much water, in grams, can be made from 3.58 × 1024 hydrogen molecules? answer in units of g.
To determine the amount of water that can be made from a given number of hydrogen molecules, the molar ratio between hydrogen and water needs to be considered. Based on the balanced chemical equation for the formation of water, 2 moles of hydrogen molecules (H2) react to form 2 moles of water (H2O). Using the Avogadro's number and molar mass of water, the calculation can be performed to find the mass of water in grams.
The balanced chemical equation for the formation of water is:
2H2(g) + O2(g) → 2H2O(l)
From the equation, it can be observed that 2 moles of hydrogen molecules (H2) react to produce 2 moles of water (H2O).
Using Avogadro's number (6.022 × 10^23 molecules per mole), we can determine the number of moles of hydrogen molecules present in 3.58 × 10^24 hydrogen molecules:
Number of moles of hydrogen = (3.58 × 10^24) / (6.022 × 10^23) = 5.95 moles
Since the molar ratio between hydrogen and water is 2:2, we can conclude that 5.95 moles of hydrogen will produce 5.95 moles of water.
To find the mass of water, we need to multiply the number of moles of water by the molar mass of water. The molar mass of water (H2O) is approximately 18.015 g/mol.
Mass of water = 5.95 moles × 18.015 g/mol = 107.17 g
Therefore, approximately 107.17 grams of water can be made from 3.58 × 10^24 hydrogen molecules.
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What does thermal energy refer to?
A. The chemical energy in reactions
B. The heat transferred between objects
C. The kinetic energy of particles within a system
D. The energy obtained from the sun
SUBMIT
Answer:
c
Explanation:
Thermal Energy has been the type of energy that refers to the kinetic energy of particles contained in a system. Hence, the correct option is (C).
What is thermal energy?
Thermal energy is the energy contained within a system as a result of its temperature. Thermodynamics, a branch of chemistry, states how heat is transmitted through multiple systems and how work is done in the process by the virtue of the first law of thermodynamics.
The thermal energy speeds the movement and collision of the particles present within the system. It is found in electric heat, geothermal, coals, etc. It is due to the kinetic energy that allows the movement of the particles.
Therefore, option C. the kinetic energy contained in the particles results in thermal energy.
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The atomic number of a made-up element is 413. What would you also know about this element with the given information?
Answer:
number of protons in the atom
Explanation:
Everything else has something to do with neutrons or weight, which you cannot know from just the atomic number. The atomic number is how many protons are in an element
phosphine, if you need to make 6.5 moles of p4o10, how many moles of ph3 is required for the reaction
To produce 6.5 moles of [tex]P_4O_{10[/tex], we would need 26 moles of [tex]PH_3[/tex].
To determine the number of moles of [tex]PH_3[/tex] required to produce 6.5 moles of [tex]P_4O_{10[/tex], we need to consider the balanced chemical equation for the reaction. The balanced equation for the combustion of phosphine ([tex]PH_3[/tex]) to form tetraphosphorus decoxide ([tex]P_4O_{10[/tex]) is:
4 PH3 + 10 O2 → P4O10 + 6 H2O
From the balanced equation, we can see that 4 moles of [tex]PH_3[/tex] react to produce 1 mole of [tex]P_4O_{10[/tex]. Therefore, the ratio of moles of [tex]PH_3[/tex] to moles of [tex]P_4O_{10[/tex] is 4:1.
If we want to produce 6.5 moles of [tex]P_4O_{10[/tex], we can calculate the number of moles of PH3 required using this ratio:
6.5 moles P4O10 × (4 moles [tex]PH_3[/tex] / 1 mole P4O10) = 26 moles PH3
Therefore, to produce 6.5 moles of [tex]P_4O_{10[/tex], we would need 26 moles of [tex]PH_3[/tex].
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Which statement correctly describes extreme weather?
O A. Extreme weather events follow normal climate patterns.
o O B. Extreme weather events are random occurrences.
O C. Extreme weather events started with global warming.
O D. Extreme weather events are unpredictable until they strike.
Answer: A
Explanation:
Extreme weather events follow normal climate patterns.
How do i design a controlled experiment to appropriately test a hypothesis?
Answer:
you need only one independent variable because if not, you wont know what factors have changed your experiment.
Explanation:
Which of the following groups is matched with a correct anatomical feature?
A) foraminifera→silicon-rich tests
B) dinoflagellata→holdfast
C) diatoms→tests made of cellulose
D) phaeophyta (brown algae)→
blade
Among the given options, the correct match between a group and its anatomical feature is: C) Diatoms → tests made of cellulose.
Diatoms are a type of algae belonging to the phylum Bacillariophyta. They are known for their intricate and delicate cell walls called tests or frustules. These tests are composed primarily of silica, making option A incorrect. Dinoflagellates (option B) are unicellular organisms that possess two flagella and do not have a holdfast. Phaeophyta, or brown algae (option D), have structures called blades that serve as their leaf-like photosynthetic organs. Hence, the correct match is diatoms having tests made of cellulose.
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a 12 percent semiannual coupon bond matures in 9 years. the bond has a face value of $1,000 and a current yield (cy) of 11.46 percent. what is the bond’s yield to maturity (ytm)?
The bond's yield to maturity (YTM) is 11.46%.
To calculate the bond's yield to maturity (YTM), the current yield and capital gains yield must be determined. Then, add the two yields together to get the YTM. Capital gains yield (CGY) is defined as the change in price of the bond divided by the price at the beginning of the period, all of which must be divided by the number of periods. Capital gains yield is a prediction of how much the value of an investment would rise or fall over a period of time based on the rate of return earned on the investment over that period of time.
The current yield formula is:
CY = C / P
where C is the coupon rate and P is the current price of the bond.
From this we can say that,
CY = 12% / P
where P is $1,000 / 2^9 = $389.42
CY = 12% / $389.42 = 3.08%
To determine the CGY, substitute the given values in the formula:
11.46% = CY + CGYCGY = 11.46% - 3.08% = 8.38%
Finally, we'll use the formula for yield to maturity (YTM) which is given by:
YTM = CY + CGYYTM = 3.08% + 8.38% = 11.46%
Therefore, the bond's yield to maturity (YTM) is 11.46%.
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A bow and arrow that was just pulled back but not yet released has
energy.
А
potential
B
electrical
С
geothermal
nuclear
Answer:
A potential
Explanation:
potential energy is a kind of energy which rest or stays in one position
The objects rest on a position has a potential energy. The bow and arrow that was just pulled back but not yet released has energy has potential energy.
What is potential energy ?The potential energy of an object is generated by virtue of its position at height above the surface. It is the stored form of energy when the object is at rest. Whereas, kinetic energy of an object is generated by virtue of its motion.
When the object starts to move with a speed, its potential energy starts to convert into kinetic energy. Both are dependent on the mass of the object. And these energies are directly proportional to the mass.
Here, the bow and arrow are not moving with a speed they just pulled and stay on a position, so they don't have a net kinetic energy but they possess a potential energy. Hence, option A is correct.
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A reaction yields 6.26 grams of a CuCl2. What is the percent yield of CuCl2 if the theoretical yield is 18.81g?
% Yield = (Actual Yield/Theoretical Yield) x 100
Answer:
33% yield
Explanation:
6.26/18.81 =0.33280170122 = 33%
What holds solid parties together?
Answer:
The cool people like me XD
Explanation:
Answer:
Solid – In a solid, the attractive forces keep the particles together tightly enough so that the particles do not move past each other. Their vibration is related to their kinetic energy. In the solid the particles vibrate in place. The kinetic energy of the molecule is greater than the attractive force between them, thus they are much farther apart.
Explanation:
Hope this helped Mark BRAINLIEST!!!
For the Experiment, 10 mL of a DIVA Sciences’ White Vinegar sample will be dispensed and diluted to 100 mL in a 100-mL Volumetric Flask. Determine the range of initial concentrations.
Diluted DIVA Sciences’ White Vinegar (5%) Solution = ____________________ M
Diluted DIVA Sciences’ White Vinegar (8%) Solution = ____________________ M
To determine the range of initial concentrations, we need to consider the dilution process and the given information.
The initial volume of the vinegar sample is 10 mL, and it is diluted to a final volume of 100 mL. Therefore, the dilution factor is calculated by dividing the final volume by the initial volume:
Dilution factor = Final volume / Initial volume = 100 mL / 10 mL = 10
The diluted solutions are prepared by adding 10 mL of the vinegar sample to a 100 mL volumetric flask and filling it up to the mark with water. So, the final volume of each diluted solution is 100 mL.
Given that the diluted solutions are prepared from the original vinegar sample, we can infer that the percentage concentration refers to the mass/volume percentage. In this case, the percentages (5% and 8%) represent the mass of acetic acid (the main component of vinegar) present in 100 mL of the original sample.
To calculate the molarity of the diluted solutions, we need to know the molar mass of acetic acid, which is approximately 60.05 g/mol.
For the 5% solution:
Mass of acetic acid in 100 mL = (5 g / 100 mL) × 100 mL = 5 g
Using the molar mass, we can convert the mass of acetic acid to moles:
Moles of acetic acid = Mass of acetic acid / Molar mass = 5 g / 60.05 g/mol
Now, we can calculate the molarity:
Molarity (5% solution) = Moles of acetic acid / Final volume (in liters) = (5 g / 60.05 g/mol) / 0.1 L
For the 8% solution, we follow the same steps:
Mass of acetic acid in 100 mL = (8 g / 100 mL) × 100 mL = 8 g
Moles of acetic acid = Mass of acetic acid / Molar mass = 8 g / 60.05 g/mol
Molarity (5% solution) ≈ 0.833 M (rounded to three decimal places)
Molarity (8% solution) ≈ 1.333 M (rounded to three decimal places)
Therefore, the range of initial concentrations is approximately 0.833 M to 1.333 M for the diluted DIVA Sciences' White Vinegar solutions.
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