Answer:
C⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
A divergent boundary is when two tectonic plates move apart from one another.
Answer:
A tectonic boundary where two plates are moving away from each other and new crust is forming from magma that rises to the Earth's surface between the two plates. The middle of the Red Sea and the mid-ocean ridge (running the length of the Atlantic Ocean) are divergent plate boundaries.
Explanation:
what compound of formula c8h10 would exhibit the following 1h nmr: d 1.2 (t, 3h), d 2.6 (q, 2h), d 7.1 (br. s, 5h)?
To determine the compound of formula C8H10 that exhibits the given 1H NMR spectrum, we need to analyze the chemical shifts and coupling patterns of the signals.
The 1H NMR spectrum shows three signals at the following chemical shifts: d 1.2 (t, 3H), d 2.6 (q, 2H), and d 7.1 (br. s, 5H). The "t" and "q" stand for "triplet" and "quartet," respectively, which indicate the number of neighboring protons that are coupling to the signal. The "br. s" stands for "broad singlet," which indicates that the signal is a broad peak that arises from the overlapping of several signals.
Based on the given 1H NMR spectrum, we can identify the three types of protons in the molecule and the number of protons that give rise to the coupling patterns.
The signal at d 1.2 (t, 3H) corresponds to a set of three protons that are adjacent to two sets of two protons each. This suggests a tert-butyl group, which is composed of three equivalent methyl groups (CH3) attached to a tertiary carbon atom.
The signal at d 2.6 (q, 2H) corresponds to a set of two protons that are adjacent to a set of three protons. This suggests a methylene group (CH2) attached to a quaternary carbon atom.
The signal at d 7.1 (br. s, 5H) corresponds to a set of five protons that are not coupled to any other protons. This suggests a set of five aromatic protons, possibly in a disubstituted benzene ring.
Putting all of these pieces of information together, we can propose that the compound is 1,3,5-tri-tert-butylbenzene, which has the molecular formula C8H10 and the following structure:
t-butyl t-butyl
| |
H3C -- C -- C -- C -- C -- C -- CH3
| |
t-butyl H3C
This structure has three equivalent tert-butyl groups, a methylene group, and a set of five aromatic protons, which are consistent with the observed 1H NMR spectrum.
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One of the line in the emiion pectrum of odium ha a wavelength of 590 nm. What i the frequency of thi line?
The line which has the wavelength of 590 nm in the sodium emission spectrum is yellow light whose frequency in the spectrum of sodium is 5.09×1014 sec−1.
To explain this let’s understand that the speed of light is equal to the product of wavelength and frequency.
Speed of light i.e. c =3⋅10^8ms
Also the wavelength(v) = 590 nm/5.9⋅10−7m
Now putting the formula we can state that v=cλ
Using all this together we can find λ i.e. frequency will be division of wavelength by speed of light and the answer will be =5.09×1014 sec−1
(5.9*10-7m/ 3.10^8 ms)
The emission spectrum of any chemical element/compound helps us in understanding the frequencies of electromagnetic radiation whose emission is due to an atom/molecule which transits from any high energy state to the lower energy state.
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As a result of this process, the proportions of oxygen and carbon dioxide in
air breathed in and air breathed out change.
Which one of the statements is true? Tick the correct box. [1]
- Air breathed out has less carbon dioxide and more oxygen than air breathed in.
- Air breathed out has less carbon dioxide and less oxygen than air breathed in.
- Air breathed out has more carbon dioxide and less oxygen than air breathed in.
- Air breathed out has more carbon dioxide and more oxygen than air breathed in.
Answer:
the third one
Explanation:
When you breathe in, you inhale oxygen and exhale carbon dioxide
A gas occupies a volume of 120 mL at 700 mm Hg. What will happen to the volume of the gas if the pressure is changed to 1500 mm Hg at constant temperature
Answer:
56 mLExplanation:
The new volume can be found by using the formula for Boyle's law which is
\(V_2 = \frac{P_1V_1}{P_2} \\\)
where
P1 is the initial pressure
P2 is the final pressure
V1 is the initial volume
V2 is the final volume
From the question we have
\(V_2 = \frac{700 \times 120}{1500} = \frac{84000}{1500} = \frac{840}{15} \\ = 56\)
We have the final answer as
56 mLHope this helps you
A carbohydrate on analysis gave the following composition: carbon = 40.0%; hydrogen = 6.71%, and oxygen made up the rest.
Answer:
53.29%oxygen
Explanation:
math and stuff
Which system is responsible for the production of red blood cells?
hormone erythropoietin (EPO) is responsible for the production of red blood cells.
Alpha particles have a ____charge.
+1
+2
-1
0
Explanation:
Alpha particles have a (+2) charge.
When a substance changes from a solid to a liquid what is it called brainlest
A.Freezing
B.Boiling
C.Sublimating
D.Melting
Which term is NOT submicroscopic?
A. atom
B. ion
C. pen
D. molecule
when a lead acid car battery is recharged by the alternator, it acts essentially as an electrolytic cell in which solid lead(ii) sulfate is reduced to lead at the cathode and oxidized to solid lead(ii) oxide at the anode. suppose a current of 26a is fed into a car battery for 71 seconds. calculate the mass of lead deposited on the cathode of the battery.
To calculate the mass of lead deposited on the cathode of a lead-acid car battery when a current of 26A is fed for 71 seconds, we need to consider the Faraday's law of electrolysis.
By determining the number of moles of electrons transferred during the reduction reaction, we can calculate the corresponding mass of lead deposited.
According to Faraday's law of electrolysis, the mass of a substance deposited during an electrolytic process is directly proportional to the number of moles of electrons transferred. To calculate the mass of lead deposited on the cathode, we need to determine the number of moles of electrons transferred.
Given that the current is 26A and the time is 71 seconds, we can calculate the total charge transferred using the formula Q = I * t, where Q is the charge in coulombs, I is the current in amperes, and t is the time in seconds. Substituting the values, we have Q = 26A * 71s = 1846C.
Since one mole of electrons corresponds to 96,485 coulombs, we can calculate the number of moles of electrons transferred by dividing the total charge by the Faraday constant: 1846C / 96,485 C/mol = 0.0191 mol.
The balanced reduction half-reaction for the deposition of lead is Pb^2+(aq) + 2e^− -> Pb(s). From the balanced reaction, we see that 2 moles of electrons are required to deposit 1 mole of lead.
Therefore, the number of moles of lead deposited on the cathode is 0.0191 mol / 2 = 0.00955 mol.
To calculate the mass of lead, we need to multiply the number of moles by the molar mass of lead, which is 207.2 g/mol: 0.00955 mol * 207.2 g/mol = 1.98 g.
Thus, the mass of lead deposited on the cathode of the car battery is approximately 1.98 grams.
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How does the human body build the complex
molecules it needs?
Dehydration synthesis reactions build molecules up and generally require energy, while hydrolysis reactions break molecules down and generally release energy. Carbohydrates, proteins, and nucleic acids are built up and broken down via these types of reactions, although the monomers involved are different in each case
Answer:
Dehydration synthesis reactions build molecules up and generally require energy, while hydrolysis reactions break molecules down and generally release energy. Carbohydrates, proteins, and nucleic acids are built up and broken down via these types of reactions, although the monomers involved are different in each case.
Explanation:
The [Ni (H2O) 6]2+ ion has an absorption maximum at about 725 nm, whereas the [Ni (NH3) 6]2+ ion absorbs at about 570 nm. Predict the color of [Ni (H2O) 6]2+.The ion has an absorption maximum at about 725 , whereas the ion absorbs at about 570 . Predict the color of .greenblueyellowredvioletSubmitMy AnswersGive UpPart BPredict the color of Ni (NH3) 6]2+.Predict the color of .redblueyellowvioletgreenSubmitMy AnswersGive UpPart CThe [Ni (en)3]2+ ion absorption maximum occurs at about 545 nm, and that of the [Ni (bipy) 3]2+ ion occurs at about 520 nm. From these data, indicate the relative strengths of the ligand fields created by the four ligands involved.Rank ligands from strongest to weakest ligand field. To rank items as equivalent, overlap them.Water | Ammonia | ethylenediamine |bypyridine
The color of a transition metal complex is directly related to the wavelengths of light that it absorbs. The absorption of light by a complex occurs when an electron transitions from a lower energy level to a higher energy level.
The energy difference between these levels corresponds to a particular wavelength of light, which determines the color of the complex.In the case of the [Ni (H2O) 6]2+ ion, the absorption maximum occurs at 725 nm, which corresponds to the complementary color of green. Therefore, this complex appears to be green in color. On the other hand, the [Ni (NH3) 6]2+ ion has an absorption maximum at 570 nm, which corresponds to the complementary color of yellow. Thus, this complex appears to be yellow in color.The [Ni (en)3]2+ ion has an absorption maximum at 545 nm, which is closer to the blue end of the spectrum than the [Ni (bipy) 3]2+ ion, which absorbs at 520 nm. This suggests that the ligand field created by ethylenediamine is stronger than that of bipyridine, which is consistent with the fact that ethylenediamine is a stronger ligand than bipyridine. Similarly, the ligand field created by ammonia is weaker than that of water, which is consistent with the fact that ammonia is a weaker ligand than water.Therefore, the ranking of ligands from strongest to weakest ligand field would be: ethylenediamine > water > bipyridine > ammonia. This ranking is based on the observed absorption maxima of the corresponding complexes, which reflect the relative strengths of the ligand fields created by the different ligands.For such more question on wavelength
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The colors of transition metal complexes depend on ligand field strength and energy differences in d orbitals. [Ni(H2O)6]2+ appears blue-green due to a 725 nm absorption max, while [Ni(NH3)6]2+ appears yellow with a 570 nm max. Ligand field strength ranks as ethylenediamine > bipyridine > water > ammonia.
A) The [Ni(H2O)6]2+ ion appears blue-green in color due to its absorption maximum at about 725 nm.
B) The [Ni(NH3)6]2+ ion appears yellow in color due to its absorption maximum at about 570 nm.
C) The relative strengths of the ligand fields created by the four ligands involved can be ranked as follows, from strongest to weakest: ethylenediamine > bipyridine > water > ammonia.
The colors of transition metal complexes depend on the energy difference between the d orbitals and the ligand field. The absorption maximum is related to this energy difference, and therefore the color observed. In the case of [Ni(H2O)6]2+, the blue-green color is due to its absorption maximum at about 725 nm, whereas the yellow color of [Ni(NH3)6]2+ is due to its absorption maximum at about 570 nm. The ligand strength can also affect the color, as seen in the relative strengths of the ligand fields created by water, ammonia, ethylenediamine, and bipyridine, with ethylenediamine being the strongest ligand field and bipyridine being the weakest.
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How do I add up all the energy to get the total energy emitted?
Answer:
To calculate the amount of heat released in a chemical reaction, use the equation Q = mc ΔT, where Q is the heat energy transferred (in joules), m is the mass of the liquid being heated (in kilograms), c is the specific heat capacity of the liquid (joule per kilogram degrees Celsius).
Explanation:
If there were two bricks of the same mass, as shown below, what would happen to the acceleration of the bricks if the same force pushed them? Explain in newtons law of motion
According to Newton's Second Law of Motion, the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass.
Therefore, if the same force is applied to two bricks of the same mass, their acceleration would be the same.
In the equation F = ma, where F is the net force, m is the mass, and a is the acceleration, we can see that if the mass of the bricks is the same, and the force applied is the same, the acceleration would be identical for both bricks. This means that they would experience the same rate of change in their velocity when the force is applied.
Regardless of the size or shape of the bricks, as long as their mass remains the same and the applied force is identical, Newton's Second Law states that their acceleration will be equal. This law demonstrates the fundamental relationship between force, mass, and acceleration in objects.
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a 1.16 mol sample of an element has a density of 13.55 g/cm3. if the sample occupies a volume of 17.17 cm3, what is the molar mass of the element?
To determine the molar mass of the element, we will use the formula:$$\mathrm{Molar\ mass}=\frac{\mathrm{Density}}{\mathrm{Moles}/\mathrm{Volume}}$$Given:$$\mathrm{Density}=13.55\:\mathrm{g/cm^3}$$$$\mathrm{Moles}=1.16\:\mathrm{mol}$$$$\mathrm{Volume}=17.17\:\mathrm{cm^3}$$.
Given that, density = 13.55 g/cm3molar mass = ?mass of sample = density x volume$$\therefore \ \text{mass of sample} = \mathrm{density} \times \mathrm{volume}$$$$\Rightarrow\mathrm{mass} =13.55 \:\mathrm{g/cm^3} \times 17.17 \:\mathrm{cm^3}=232.7315\:\mathrm{g}$$Now, Molar mass is given by,$$\mathrm{Molar\ mass}=\frac{\mathrm{Density}}{\mathrm{Moles}/\mathrm{Volume}}$$$$\Rightarrow\mathrm{Molar\ mass}=\frac{13.55\:\mathrm{g/cm^3}}{1.16\:\mathrm{mol}/17.17\:\mathrm{cm^3}}=103.1\:\mathrm{g/mol}$$Therefore, the molar mass of the element is 103.1 g/mol.
The given information is about the element's sample. The formula for molar mass is used to find out the unknown molar mass of the given element.
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Which electromagnetic wave has the longest
wavelength? Describe the energy level and
frequency of this wave.
Answer:
radio waves
Explanation:
which has the longest wavelength and lowest frequency and energy. Ultraviolet light (UV) is divided into three regions: UV A, wavelength = 400 - 320 nm UV B, wavelength = 320 - 280 nm
What type of model does the information below represent
The type of model represented by the information given in the image is a mathematical model (option C).
What is a model?A model is a simplified representation used to explain the workings of a real world system or event.
The following are the types of model there are;
Mathematical model; which usually describes a system by a set of variables and a set of equations that establish relationships between the variables. The particle theory of matter is a model that describes the arrangement and movement of particles in a substance. Analogy models are such that shows relationship or resemblance of objects.Based on the equation given above, the type of model illustrated is a mathematical model.
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Determine the mass of zirconium_______________, silicon__________________, and oxygen________________, found in 0.3384 mol of zircon, ZrSiO4, a semiprecious stone. Your answer must have the correct number of significant figures.Enter the number only, with no units.
1) Determine the mass of zirconium
Convert moles of zircon into moles of zirconium
\(\text{molesofZr}=0.3384molesofZrSiO_4\cdot\frac{1\text{molofZr}}{1molofZrSiO_4}=0.3384\text{molesofZr}\)Convert moles of zirconium into mass of zirconium (g)
\(\text{gramsofZr}=0.3384\text{molesZr}\cdot\frac{91.224\text{ g Zr}}{1\text{molofZr}}=30.87\text{ g Zr}\)2) Determine the mass of Silicon
Convert moles of zircon into moles of silicon
\(\text{molesofSi}=0.3384molesofZrSiO_4\cdot\frac{1\text{molofSi}}{1molofZrSiO_4}=0.3384\text{molesofSi}\)Convert moles of silicon into mass of silicon (g)
\(\text{gramsofSi}=0.3384\text{molesofSi}\cdot\frac{28.085\text{ g of Si}}{1\text{molofSi}}=9.504\text{ g Si}\)3) Determine the mass of Oxygen
Convert moles of zircon into moles of oxygen
\(\text{molesofO}=0.3384molesofZrSiO_4\cdot\frac{4\text{molofO}}{1molofZrSiO_4}=1.3536\text{molesofO}\)Convert moles of oxygen into mass of oxygen
\(\text{gramsofO}=1.3536\text{molesofO}\cdot\frac{15.999\text{ g O}}{1\text{mol of O}}=21.66gO\)The mass of zirconium is 30.87 g
The mass of silicon is 9.504 g
The mass of oxygen is 21.66 g
if the mixture is 130.0 grams what is the mass of the water
1. 30.0 g
2. 70.0 g
3. 100.0 g
4. 160.0 g
Answer: 160.0g
Explanation:
130g < 160g
How many atoms of titanium are in 0.085 mol of titanium
Answer:
5.12x10^23 atoms
Explanation:
To find atoms, you need to use Avogadro's number. Here is the equation:
0.085 mol x 6.022x10^23 atoms = 5.12x10^22 atoms of titanium
Keep in mind that units need to cancel and make sure to double check those sig figs!
One of the main jobs of _________ is to support the leaves
The flowers
the seeds
the roots
the stem
Answer:
Stem
Explanation:
Answer:
option-(d) stem
Explanation:
Stems have four main functions which are: Support for and the elevation of leaves, flowers and fruits. The stems keep the leaves in the light and provide a place for the plant to keep its flowers and fruits. Transport of fluids between the roots and the shoots in the xylem and phloem...
I hope it help you
While it's not possible in every situation, what is the safest solution to protect yourself from chemical hazards in the work environment?.
The safest solution to protect yourself from chemical hazards in the work environment is to wear PPE kit.
What function does PPE serve?
PPE, or personal protective equipment, is clothing and gear used to reduce exposure to dangers that might result in life-threatening diseases and injuries at work. These diseases and injuries might be brought on by exposure to workplace risks such as chemical, radioactive, physical, electrical, or mechanical ones.
According to the given question:
Personal protective equipment, or "PPE," is clothing worn to reduce exposure to a range of risks. PPE examples include gloves, eye and foot protection, hard helmets, respirators, complete body suits, and protected hearing gear (earplugs, muffs).
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After a tree is cut down with a chainsaw, it is impossible to put the tiny wood chips back together
into the tree. Does this mean cutting trees with chainsaws is a chemical change? Explain.
Answer:
No, because even if you cut the tree into small pieces it’s still a tree.
Explanation:
Aluminum wiring can be a fire hazard because it can oxidize, or combine with oxygen. How many grams of aluminum are needed to react with 3.00 moles of oxygen?
Aluminum wiring can be a fire hazard because it can oxidize, or combine with oxygen. Therefore, 4moles of aluminium react with 3 moles of oxygen.
What is aluminium?Aluminum (Al), also written aluminium, is a chemical element that is a light silvery white metal in Periodic Group 13 (IIIa, or the boron group). Aluminum is the most common nonferrous metal and the most prevalent metallic element in the Earth's crust.
Aluminum is never found in its metallic form in nature due to its chemical activity, but its compounds are found to varying degrees in practically all minerals, flora, and animals.
4Al + 3O\(_2\) \(\rightarrow\) 2Al\(_2\)O\(_3\)
mole of oxygen =3 moles
the mole ratio between aluminium and oxygen is 4:3.
moles of aluminium = 4moles
Therefore, 4moles of aluminium react with 3 moles of oxygen.
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When it comes to the Equation of State, which of the below statements is/are true?
A. If temperature is held constant, volume and pressure are inversely proportional.
B. If volume is held constant, temperature and pressure are inversely proportional.
C. If pressure is held constant, then volume and temperature are inversely proportional.
D. All of the provided choices are correct!
When it comes to the Equation of State, the correct statement is D. All of the provided choices are correct!
The Equation of State is a mathematical relationship that describes the behavior of gases. In this case, all of the provided choices are true.
A. If temperature is held constant, volume and pressure are inversely proportional. This is known as Boyle's Law. When the temperature is constant, if the volume increases, the pressure decreases, and vice versa.
B. If volume is held constant, temperature and pressure are inversely proportional. This is known as Gay-Lussac's Law. When the volume is constant, if the temperature increases, the pressure also increases, and vice versa.
C. If pressure is held constant, then volume and temperature are inversely proportional. This is known as Charles's Law. When the pressure is constant, if the volume increases, the temperature also increases, and vice versa.
So, all of these statements are true and describe different relationships between the variables in the Equation of State.
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when a nucleus emits an alpha particle, the mass number of the nucleus?
a. inrease and its at. number decreases
b. decreases and its at. number decreases
c. decreases and its at. number increases
d. remainds smae and its at. number decreases
When a nucleus emits an alpha particle, the mass number of the nucleus decreases, and its atomic number also decreases.
Therefore, the correct answer is: (c). The mass number decreases and its atomic number increases.
The nuclei are incredibly tiny and dense. They are 10 thousand times smaller than an atom and have more than 99.9% of its mass! Protons, which have a positive charge, and neutrons, which have no electrical charge, make up the nucleus.
When a nucleus emits an alpha particle, the mass number of the nucleus decreases, and its atomic number also decreases.
An alpha particle is composed of two protons and two neutrons, which is equivalent to a helium nucleus (He²⁺). When an alpha particle is emitted from a nucleus, the mass number decreases by 4 (as the alpha particle has a mass of 4 atomic mass units) and the atomic number decreases by 2 (since the nucleus loses two protons).
Therefore, the correct answer is:
c. The mass number decreases and its atomic number increases.
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85.0g of barium metal are added to 275ml of 3.55M solution of hydrochloric acid, how many milliliters of hydrogen gas are collected at 18.5oC and 755.5mmHg in this single replacement reaction?
Answer: 0.024 ml of hydrogen gas are collected at \(18.5^0C\) and 755.5mmHg in this single replacement reaction
Explanation:
To calculate the moles :
\(\text{Moles of solute}=\frac{\text{given mass}}{\text{Molar Mass}}\)
\(\text{Moles of} Ba=\frac{85.0g}{137g/mol}=0.620moles\)
To calculate the number of moles for given molarity, we use the equation:
\(\text{Molarity of the solution}=\frac{\text{Moles of solute}\times 1000}{\text{Volume of solution in ml}}\)
\(3.55M=\frac{\text{Moles of} HCl\times 1000}{275ml}\\\\\text{Moles of }HCl=\frac{3.55\times 275}{1000}=0.976mol\)
The balanced chemical reaction is:
\(Ba+2HCl\rightarrow BaCl_2+H_2\)
According to stoichiometry :
2 moles of \(HCl\) require = 1 mole of \(Ba\)
Thus 0.976 moles of \(HCl\) will require=\(\frac{1}{2}\times 0.976=0.488moles\) of \(Ba\)
Thus \(HCl\) is the limiting reagent as it limits the formation of product and \(Ba\) is the excess reagent.
As 2 moles of \(HCl\) give = 2 moles of \(H_2\)
Thus 0.976 moles of \(HCl\) give =\(\frac{2}{2}\times 0.976=0.976moles\) of \(H_2\)
According to ideal gas equation:
\(PV=nRT\)
P = pressure of gas = 755.5 mmHg = 0.994 atm (760 mm Hg = 1 atm )
V = Volume of gas in L = ?
n = number of moles = 0.976
R = gas constant =\(0.0821Latm/Kmol\)
T =temperature =\(18.5^0C=(18.5+273)K=291.5K\)
\(V=\frac{nRT}{P}\)
\(V=\frac{0.994atm\times 0.0820 L atm/K mol\times 291.5K}{0.994atm}=24.0L=0.024ml\) (1L=1000ml)
Thus 0.024 ml of hydrogen gas are collected at \(18.5^0C\) and 755.5mmHg in this single replacement reaction
"Earth and Life Science"
Write at least three (3) expectations. What are your expectations for this subject?
2.why is the reaction mixture extracted with sodium bicarbonate? give an equation and explain its relevance.
R - CO - OH + NaHCO3 → R - CO-O- Na+ + H20 + CO2
Here Sodium bicarbonate solution is used to neutralize the excess acetic acid and the acid catalyst in the reaction mixture.
In this reaction the product sodium acetate salt is formed which can be easily removed during work up because of its complete solubility in water. The exact reaction is as follows. Baking soda or bicarbonate of soda is the popular term for sodium bicarbonate, which has the chemical formula NaHCO3 and is also known by its IUPAC designation, sodium hydrogen carbonate[9]. A sodium cation (Na+) and a bicarbonate anion (HCO3) combine to form the salt. In spite of frequently appearing as a fine powder, sodium bicarbonate is a crystalline white solid. It tastes similar to washing soda, with a mildly salty, alkaline flavor (sodium carbonate). Nahcolite is a type of naturally occurring mineral. It is a part of the mineral natron and is present in many mineral springs as a dissolved substance. Due to its long history of use and variety of names, including baking soda, bread soda, cooking soda, and bicarbonate of soda, the salt is frequently seen next to baking powder in supermarkets.
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ok the gas represented by shaded spheres twice the time it took the gas represented by unshaded spheres to effuse. molecular mass of gas represented by shaded spheres is 16g/mol. what is the closest numerical value for molecular mass of gas represented by unshaded spheres? a) 2 b) 4 c) 8 d) 18 e) 36 [this question is a variation of practice exam question
We can use Graham's law of effusion to solve this problem. Graham's law states that the rate of effusion of a gas is inversely proportional to the square root of its molecular mass.
Mathematically, this can be expressed as:
\(Rate₁ / Rate₂ = \sqrt{(M_2 / M_1)}\)
Here, Rate₁ and Rate₂ represent the effusion rates of the unshaded and shaded spheres respectively, and M₁ and M₂ represent their molecular masses.
We're given that it takes twice the time for the shaded spheres to effuse compared to the unshaded spheres. Since rate and time are inversely proportional, this means:
Rate₁ = 2 * Rate₂
Now we can plug this into Graham's law:
\((2 * Rate_1) / Rate_2 = \sqrt{(M_2 / M_1)}\)
Canceling out Rate₂, we get:
\(2 = \sqrt{(M_2 / 16)}\)
Square both sides:
4 = M₂ / 16
Now, solve for M₂:
M₂ = 4 * 16 = 64 g/mol
The closest numerical value for the molecular mass of the gas represented by unshaded spheres is not listed among the options you provided. However, based on the calculations, the answer should be 64 g/mol.
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