when 40. 0 g of ammonia and 50. 0 g of oxygen are mixed and allowed to react .1.57 moles is the theoretical yield of water and 1.87 moles in balanced chemical
= 1*14.01 + 3*1.008
= 17.034 g/mol
mass(NH3)= 40.0 g
use:
number of mol of NH3,
n = molar mass of ammonia
=(40 g)/(17.03 g/mol)
= 2.348 mol
Molar mass of O2 = 32 g/mol
mass(O2)= 50.0 g
use:
number of mol of O2,
n = molar mass of oxygen
=(50 g)/(32 g/mol)
1.562 mol or 1.57 mol
Balanced chemical equation is:
4 NH₃ + 5 O₂ -> 6 H₂O + 4NO
4 mol of NH3 reacts with 5 mol of oxygen for 2.348 mol of NH3, 2.935 mol of O2 is required But we have 1.562 mol of O2 so, use O2 in next calculation
According to balanced equation mol of H2O formed = (6/5)* moles of oxygen
= (6/5)*1.562
= 1.875 mol
= 1.87 mol
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Question 1 (1 point) Some historians think that drinking wine from (answer) -glazed vases contributed to the fall of the Roman Empire.
Some historians think that drinking wine from lead-glazed vases contributed to the fall of the Roman Empire.
What is wine and ancient Rome?Rome played a significant role in the history of wine. The first people to have an impact on winemaking on the Italian peninsula were the ancient Greeks and Etruscans.
Scientific advancements and an expanding understanding of winemaking were both brought about by the expansion of the Roman Empire. Rome had a significant impact on the history of today's important wine-producing regions in France, Germany, Italy, Portugal, and Spain.
Because the Romans believed that wine was a daily necessity, the beverage was "democratic" and widely available to everyone, including slaves, peasants, and aristocrats, both men and women. To ensure a consistent supply of wine for Roman soldiers and colonists, viticulture and wine production spread throughout the empire.
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3) Examine the list of molecules below. Place an X on the line next.
Compounds are made up of two or more bound elements.
Here, H2O, CO2, CH4 are Compounds.
How are molecules and compounds different from elements and mixtures?Students must be able to distinguish between molecules, compounds, elements, and mixtures by understanding very small features. A substance called a molecule is made up of two or more atoms that are joined together. such as oxygen O2. Compounds are made up of two or more bound elements, such the NaCl in table salt. Elements are substances that are unbreakable, pure, and have the same number of protons in their nuclei, such as gold Au, oxygen O, and hydrogen H. Mixtures are composed of two or more different substances but do not chemically link together.To learn more about : Molecules
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a mixture contains only nacl and fe(no3)3. a 0.456 gram sample of the mixture is dissolved in water, and an excess of naoh is added, producing a precipitate of fe(oh)3. the precipitate is filtered, dried and weighed. its mass is 0.107 g. calculate the mass percent of fe(no3)3 in the sample.
Answer:
0.23 mass percent
Explanation:
The molar mass of Fe(NO3)3 is 241.9 g/mol and the molar mass of NaCl is 58.5 g/mol. This means that for every 1 mol of Fe(NO3)3, there are 4.14 mol of NaCl. In a 0.456 gram sample, this would be 0.01098 moles or 109 mg of Fe(NO3)3 and 0.456 * (4.14 mol / 1 mol) = 1.892 grams or 1892 mg of NaCl
10. Personal eyeglasses provide as much protection as
a. A face shield
b. Safety glasses
c. Splash Proof chemical goggles
d. None of the above
Answer: D- None of the above
-
Eliminate a face shield, a face shield covers your entire face, while glasses only cover your eyes and around your eyes. Glasses are glass while shield covers are usually plastic.
Eliminate Safety glasses because, again, eye glasses only cover your eyes and the surrounding areas of your eyes with glass, the gaps beside and under them allow chemical incidents to go into your eyes. Safety glasses wrap around your head and usually completely sheild you eyes.
Eliminate splash proof chemical goggles, this would fall into the category of safety glasses.
Of the 6 carbons in a starting molecule of glucose, at the completion of pyruvate oxidation _____ carbons are fully oxidized to _____, while _____ carbons remain in _____.
Of the 6 carbons in a starting molecule of glucose, at the completion of pyruvate oxidation two carbons are fully oxidized to CO₂, while four carbons remain in acetyl groups.
Pyruvate is a compound containing 3 carbon molecules formed from the first stage of glycolysis. One glucose molecule is reduced to two pyruvate molecules in the cytosol of the cell. The pyruvate then enters the matrix of the mitochondria, where pyruvate oxidation takes place.
Pyruvate oxidation is the reaction that connects glycolysis to the citric acid cycle or the Kreb's cycle. In eukaryotic cells, it occurs in the matrix of the mitochondria, but in prokaryotic cells, it occurs in the cytoplasm.
First, a carboxyl group is removed from the pyruvate. This carboxyl group is reduced to carbon dioxide (CO₂). The two-carbon molecule from the pyruvate called an acetyl is then attached to an organic compound called Coenzyme A (CoA), forming acetyl-CoA. This acetyl-CoA is the end product of pyruvate oxidation and acts as fuel for the next stage of cellular respiration, the citric acid cycle.
Thus, at the end of pyruvate oxidation, two carbon atoms of the 6 carbons in the starting glucose molecule are oxidized to two molecules of CO₂, while the remaining four carbons are in acetyl-CoA.
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what information can be obtained from a combustion analysis? select all that apply. multiple select question. molecular mass of an organic compound percent composition of an organic compound empirical formula of an organic compound molecular formula of an organic compound
Percent composition of an organic compound and Empirical formula of an organic compound this information can be obtained from a combustion analysis.
The empirical formula of a compound can be determined through combustion analysis, but the chemical formula cannot be (other techniques can though). Once known, the empirical formula can be used to determine the chemical formula. Combustion analysis involves burning an organic compound that has a mixture of the elements C, H, N, and S. The mass of the combustion products is then recorded. This knowledge allows us to determine the empirical formula of the original chemical. The empirical formula of sulfur monoxide, abbreviated SO, and disulfuric dioxide, abbreviated S2O2, are two straightforward examples of this idea. The solenoid is a particular kind of electromagnet, and its function is to produce a controlled magnetic field through a coil twisted into a compact helix. In the figure below, the solenoid is depicted. A wire coil serves as the solenoid, and a soft iron plunger serves as the piston.
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Scientists discovered a rock formation in the mountains that
contains some amount of Uranium-235. Upon further testing you
learn that the rock is composed of 25% Uranium-235. Knowing that
the rock is 1.426 billion years old, how long is the half-life of
Uranium-235?
The half-life of the Uranium-235, given that 25% of it is remaining in the rock is 713 million years
How do i determine the half-life?We know that half life is the time taken for half of a substance to decay.
Thus, to obtain the half life of the Uranium-235, we shall calculate the number of half lives that has elapsed while in the rock. This can be obtained as follow:
Original amount of Uranium-235 (N₀) = 100%Amount remaining of Uranium-235 (N) = 25%Number of half-lives (n) =?2ⁿ = N₀ / N
2ⁿ = 100 / 25
2ⁿ = 4
2ⁿ = 2²
n = 2
Knowing that 2 half lives has already elapsed, we shall determine the half-life of the Uranium-235. This can be obtained as follow:
Number of half-lives (n) = 2 Age of rock (t) = 1.426 billion years Half-life (t½) = ?t = n × t½
Divide both sides by n
t½ = t / n
t½ = 1.426 / 2
t½ = 713 million years
Therefore, we can conclude that the half-life is 713 million years
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using the periodic table, what characteristics of sodium would be essential to know when investigating sodium substitutes in salts?
Answer: Element Sodium (Na), Group 1, Atomic Number 11, s-block, Mass 22.990. Sources, facts, uses, scarcity (SRI), podcasts, alchemical symbols, videos and images.
Explanation:
How does an electron move from the ground state to an excited state?It absorbs energy.It becomes a neutron.It releases energy.It becomes a proton.
In this question, we have to determine the way in which an electron move from a ground state to an excited state, and the way this occurs is by absorbing energy, when the right amount of energy hits the electron, this electron will jump to a higher energy level. Therefore the answer will be the 1st option
Calculate the frequency of the yellow light emitted by a sodium lamp if the wavelength is
5.88 x 10 meters.
I know the question says [tex]5.88\times10[/tex] meters, but I'm assuming the exponent wasn't copied because the wavelength of yellow light is around eight orders of magnitude smaller. This calculation is done with the assumption that [tex]\lambda = 588 \text{ nm} = 5.88\times 10^{-7} \text{ m}[/tex].
The speed of light is the wavelength multiplied by the frequency:
[tex]\lambda\nu = \text{c}[/tex]
Then you can rearrange and solve
[tex]\nu=\dfrac{\text{c}}{\lambda}=\dfrac{3.00\times 10^8 \text{ m/s}}{5.88\times10^{-7} \text{ m}} = 5.10\times10^{14} \text{ s}^{-1} \text{ or Hz}[/tex]
How are all of Earth's water reservoirs connected to the ocean?
Answer:
Through intermolecular constant tube routes
is nh4hco3 acidic, neutral, or basic? if is it not neutral, compare their ka and kb values to determine if it is acidic or basic and explain your reasoning
Ammonium acetate is a salt formed from ammonium hydroxide (weak base) and acetic acid (weak acid).
NH4OH + CH3COOH 1 CH3COO-NH4+ + H2O
Here, pKb for NH4OH = 4.8
And, pKa for CH3COOH = 4.74
Now, for a salt of weak acid and weak base
pH = 7 + 0.5 (pKa - pKb)
pH = 7 + 0.5 (4.74 - 4.8)
pH = 7 + 0.5 (- 0.06)
pH = 7 - 0.03
pH = 6.97
Since, pH is slightly less than 7, it is slightly acidic (almost neutral).
Ammonium acetate and acetic acid are frequently combined to form a buffer solution because they are the salt of two weak acid and base. At low pressures, ammonium acetate is flammable. As a result, while preparing samples for mass spectrometry, it has been utilised to substitute cell buffers that include non-volatile salts. Due to this, it is frequently used as a buffer for mobile phases in HPLC systems with ELSD detection. This has also been done with other volatile salts, like ammonium formate.
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Which is a benefit of using synthetic polymers, such as nylon?
Synthetic polymers are lightweight.
Synthetic polymers are produced in small quantities.
Synthetic polymers are biodegradable.
Synthetic polymers are inexpensive to recycle.
Answer:
Synthetic polymers are inexpensive to recycle.
Answer:
It's A
Explanation:
why is the carbon tube is more stronger than steel?
The very light weight of carbon tube makes it far more stronger than steel.
Understanding the impact of carbon fibreAside the fact that carbon fibre has more strength than its respective steel, its durability is also an important property which makes it of better use. This implies that it can be used over a long period of time.
However, the great advantage it has over steel or any other metal is that it is very cheap to produce or manufacture.
Carbon is a chemical element found in the group 4 of the periodic table. It has atomic number of 6, valence electrons of 4, proton number of 6, neutron number of 6 and has 6 electrons.
In conclusion, carbon fibre is more stronger than steel in all characteristics including its safety.
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how many total atoms are in paradichlorobenzene
Answer:12
Explanation:
The chemical formula is C₆H₄Cl₂, where the Chlorines are bonded to opposite sides of the benzene ring (because of steric strain) and each of the double bonded Carbons have a Hydrogen attached to them.
Phones are an essential mode of communication in today’s world. People use phones to communicate with their family members, colleagues, to call for help, and to educate others. Phones have transmitters and receivers within them because they both transmit and receive information. During this process, radio waves from a phone are transmitted to a cell tower. The tower receives the information and then transmits it to the phone of the person it is intended for. Remote areas often have poor cell phone reception because they do not have many cell towers nearby. Describe one way to solve this problem.
Answer:
Cell phones combine phone technology with computer technology, and the pairing has made an unprecedented amount of information available to humans all over the world.
The reaction you will be performing requires a source of chloride ion, which is the required nucleophile. A sodium chloride solution would be much more safe than a hydrochloric acid solution. Why is acid required?.
Acid protonates the hydroxyls of the starting material, turning them into a better leaving group.
A salt is a compound formed when the negative ions from an acid combine with the positive ions of a base.
Neutralization is a chemical reaction between an acid and a base that takes place in a water solution, the products of which are water and salts.
NaOH (aq) + HCl (aq) → NaCl (aq) + H₂O (l)
What is crystallization?The process of turning a liquid substance into a highly structured solid whose atoms or molecules are arranged in a well defined three-dimensional crystal lattice is known as crystallisation. A unit cell is a crystal's tiniest discrete component. There are millions of these unit cells throughout the crystal. The primary use of crystallisation is as a separation process to separate pure crystals of a chemical from an impure mixture. The process of crystallisation is used to extract pure salt from seawater, which is another significant use. To create pure alum crystals from impure alum, crystallisation can also be used. Since it also gets rid of the soluble contaminants, crystallisation is believed to be more efficient in such circumstances than evaporation.To learn more about crystallisation, refer
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0.370 moles of a and 0.370 moles of b are placed in a 1.00-l closed container, heated to 700 °c and allowed to reach equilibrium. what is the concentration of c once equilibrium is established?
The concentration of C is found to be 0.0739M on establishment of equilibrium using the equilibrium constant.
The ratio of the concentration of the products to the concentration of the reactants, each increased to their respective stoichiometric coefficients, is the equilibrium constant of concentration (denoted by Kc) of a chemical process at equilibrium.
Any equilibrium reaction has an equilibrium constant that is determined by the ratio of the concentrations of the chemicals on the right to the concentrations of the substances on the left. Keep in mind that the products are always listed before the reactants when writing a ratio.
Molarity of A = No. of moles / volume
Molarity of A = 0.370 / 1L = 0.370M
[tex]Kc = \frac{[C] [D]}{[A]^2}[/tex]
Kc = [tex]\frac{(x)(x)}{(0.290 - 2x)^2}[/tex] = 0.270
[tex]0.08x^2[/tex] – 0.3132x + 0.022707 = 0
x = 0.0739M
Result:
The concentration of C is 0.0739M once equilibrium is established.
The complete and correct question is in the image.
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600 grams of ping pong balls (Pb) is equal to how many dozen ping pong balls?
Could you also show how you got your answer because I’m confused on how I’d solve it?
600grams of ping-pong balls is equal to 0.204doz of ping-pong balls.
What is a ping-pong ball?When table tennis became a competitive sport, celluloid replaced the original primary ping pong ball material of cork as the industry standard.
Throughout the 1900s, these 38mm-diameter balls served as the industry standard for table tennis. We didn't notice a significant difference in the production of ping pong balls until the year 2000.
As we know,
1 doz of ping pong balls = 2.94×10^3 g
thus, 2.94×10^3g of ping pong balls = 1 doz
1 g of ping pong balls = 1/2.94×10^3 doz
600 g of ping-pong balls = 600/2.94×10^3 doz
= 0.204 doz
Hence, 600grams of ping-pong balls is equal to 0.204doz of ping-pong balls.
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Do stable isotopes tend to have a similar amount of protons to neutrons or a very different amount of protons to neutrons? Why do you think that is? State your answer in 2-4 sentences.
Stable isotopes tend to have a very different amount of protons to neutrons because the ratio of protons and neutrons is nearly 1 or less than 1.5, whereas the number of protons and neutrons in unstable isotopes is greater than 1.5
What are isotopes of elements?Isotopes of elements are atoms of the same elements having the same number of protons but different numbers of protons.
Isotopes of elements may either be stable isotopes or unstable isotopes.
Stable isotopes are isotopes whose nuclei do not spontaneously decay and emit nuclear particles as well as radiation. Stable isotopes usually have a proton and neutron ratio that is less than 1 : 1.5.
Unstable isotopes are isotopes whose nuclei spontaneously decay and emit nuclear particles as well as radiation. Unstable isotopes usually have a proton and neutron ratio that is greater than 1 : 1.5. The spontaneous decay of unstable isotopes is due to the presence of the excess neutrons in the nucleus of the atom.
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e absorbency of a certain towel is considered normal if the towel is able to hold between six and eight ml. the first checks for materials result in absorbency measures of 6.2 ml and 7.2 ml. what possible values for the third reading m will make the average absorbency normal?
The third value which will make the average absorbency normal lies in the range of 4.6 ml and 10.6 ml.
It can be determined using the following calculation,
The first two values of absorbency are 6.2 ml and 7.2 ml
Also, the absorbency of a towel is considered normal if it can hold between 6 and 8 ml. So obviously the third value will lie within the same range. Let the third value be ‘X’.
‘X’ lies between 6 and 8
The average absorbency of the third reading will be 6.2 + 7.2 + X/3
So combining these two
6 < 6.2 + 7.2 + X /3 < 8
6 < 13.4 + X/3 < 8
Multiplying by 3
18 < 13.4 + X < 24
Subtracting by 13.4
18 - 13.4 < X < 24 - 13.4
4.6 < X < 10.6
Hence the third reading of average absorbency lies between 4.6 ml and 10.6 ml.
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a 62.5 g lump of gold at 650 k is dropped into 165 g of h2o(l) at 298 k in a perfectly insulated container at 1 bar pressure. calculate the temperature of the system once equilibrium has been reached. assume that the values for cp,m(au)
The temperature of the system in equilibrium is 301.96 K.
The equilibrium temperature of the system depends on the heat released from both gold and water. The total heat received by the system will equal to total heat released by objects. It should follow
Q released = Q received
The heat can be defined by
Q = m . c . ΔT
where Q is heat, m is mass, c is the specific heat constant and ΔT is the change in temperature.
The given parameters are
m1 = 62.5 g = 0.0625 kg
T1 = 650 K
m2 = 165 g = 0.165 kg
T2 = 298 K
c1 = 126 J/kgK
c2 = 4200 J/kgK
Lets assume that the value of equilibrium temperature is T. Hence,
Q released = Q received
m1 . c1 . ΔT1 = m2 . c2 . ΔT
0.0625 . 126 . (T1 - T) = 0.165 . 4200 . (T - T2)
0.0625 . 126 . (650 - T) = 0.165 . 4200 . (T - 298)
5118.75 - 7.875T = 693T - 206514
700.875T = 211632.75
T = 301.96 K
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how cells in unicellular and multicellular organisms perform the tasks needed for life.
Cells in unicellular and multicellular organisms perform the tasks needed for life as unicellular and multicellular organisms have various cell functions. A multicellular organism has cells that are specialized to execute various tasks that work together to maintain the organism as a whole, as opposed to a unicellular organism that depends entirely on one cell to carry out all of its duties.
Bacteria, protists, and yeast are examples of unicellular creatures. A paramecium, for instance, is a unicellular organism with a slipper-like form that is found in pond water. Food vacuoles are organelles that are used to digest the food that is ingested from the water. In order to maintain the health of the cell and, by extension, the organism, nutrients from the food move through the cytoplasm to the nearby organelles.
Multicellular creatures have more than one cell, and groupings of cells can differentiate to perform diverse, specialized tasks. Early in a person's development, cells in the body start differentiating to become numerous types of cells, including blood cells, nerve cells, skin cells, muscle cells, and others. Under a microscope, it is simple to see how these cells differ from one another. Each type of cell adopts a specific form to best suit its function since its structure and function are related.
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Key Terms: You will need to know each of the following terms to complete this sample work and do well on the Unit 3 test. Please take some time to define each and familiarize yourself with them.
Metal Metalloid
Nonmetal Periodic Table of Elements
Atomic Mass Atomic Number
Electron Energy Levels
Group Neutron
Nucleus Period
Proton Valence Electrons
Isotopes Electronegativity
Compound Covalent Bond
Ionic Bond Metallic Bond
Describe 4 properties of metals:
4 properties of metals are high melting points, good conductors of electricity, good conductors of heat, high density
Metal is the any of a class of substances characterized by high electrical and thermal conductivity as well as by malleability, ductility, and high reflectivity of light
Metal Metalloid : an imprecise term used to describe a chemical element that forms a simple substance having properties intermediate between those of a typical metal and a typical nonmetalNonmetal Periodic Table of Elements : hydrogen, carbon, nitrogen, oxygen, phosphorus, arsenic and selenium are all the non-metallic elements in the periodic tableAtomic Mass Atomic Number : atomic mass is associated with the number of neutrons and protons that are present in a proper nucleus of an element as well as atomic number is usually the number of protons present in an element nucleusElectron Energy Levels : energy levels that is also called electron shells and are fixed distances from the nucleus of atom where electrons may be seenGroup Neutron : neutrons and protons are classified as hadrons and subatomic particles that are subject to the strong forceNucleus Period : nucleus period is round part of most cells that is enclosed in a double membraneProton Valence Electrons : the number of valence electrons is determined by the number of protons in the nucleusIsotopes Electronegativity : isotopes have differences in electronegativity but it is really very small in sizeCompound Covalent Bond : covalent bond consists of the mutual sharing of one or more pairs of electrons between two atomsIonic Bond Metallic Bond : ionic bonds join metals to non-metals whereas metallic bonding joins a bulk of metal atomsKnow more about metals
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Which atom in the ground state has five electrons
in its outer level and ten electrons
in its kernel?
A) C
B) Si
C) CI
D) P
Phosphorus atom in the ground state has five electrons in its outer level and ten electrons in its kernel.
What is atom?The smallest component of ordinary stuff that makes up a chemical element is an atom. Atoms that are neutral or ionized make up every solid, liquid, gas, and form of plasma. Atoms are incredibly tiny, measuring typically 100 picometers across. Ion charge or zero (neutral) electric charge.
Space makes up the majority of an atom. The rest is made up of a cloud of negatively charged electrons surrounding a positively charged nucleus made up of protons and neutrons. Compared to electrons, which are the lightest charged particles in nature, the nucleus is small and dense.
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(b)
A student filters a mixture.
Figure 1 shows the apparatus.
Beaker.
Mixture
Figure 1
F
Flask
Filter paper cone
Suggest one improvement to the apparatus.
(1)
One improvement to the filtration assembly is the presence of glass rod as glass rod helps in negation of adhesion between glassware and the supernatent.
What is filtration?Filtration is defined as a process by which solid particles which are present in liquid or gaseous medium are allowed to be removed using a filter medium which retains the particles but allows the liquid to pass through.
The requirements for filtration are a filter medium ,fluid containing particles , a mechanical device usually a filter and a driving force.The filter media is classified depending on the pore size of particles which are to be filtered.
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How will this mutation most likely affect the squirrel population?
Because the trait was caused by a mutation, it will not be passed on to any offspring, resulting in the disappearance of the trait.
Because the trait was caused by a mutation, it will be passed on to offspring over many generations, resulting in a population of darker squirrels.
If the trait is unfavorable, it will be passed on to offspring over many generations, resulting in a population of darker squirrels.
If the trait is favorable, it will be passed on to offspring over many generations, resulting in a population of darker squirrels.
This mutation most likely affect the squirrel population : if the trait is favorable , it will be passed on to offspring over many generations, resulting in a population of darker squirrels.
Mutation can be defined as the changes in genetic material that is a change in DNA this lead to change in gene segment. mutation includes various factors such as UV light or mistakes during DNA replication . mutation leads to genetic variation in species. Mutation which offers survival advantage are favored by natural selection.
Thus, This mutation most likely affect the squirrel population : if the trait is favorable , it will be passed on to offspring over many generations, resulting in a population of darker squirrels.
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in a neutral atom, how does the number of electrons compare to the number of protons?
Answer: The no of electron and protons are equal therefore it is equal.
Answer:
The number of electrons and protons will be equal.
Explanation:
When you have a neutral atom, the protons, neutrons and electrons are all the same amounts, that's what makes it a neutral charge.
** Hope this helps!
a sample of gas occupies a volume of 54.7 ml . as it expands, it does 111.1 j of work on its surroundings at a constant pressure of 783 torr . what is the final volume of the gas?
The final volume of the gas is[tex]$1184 \mathrm{~mL}$[/tex]
This problem is based on the concept of work done in a thermodynamic process.
Thermodynamics is the science which deals with heat and work and the properties of substances. It also provides a relation between heat and work.
In thermodynamics, the work done is given by
[tex]W=-P \Delta V.[/tex]......(1)
Here, W is the work done,
[tex]$\Delta V$[/tex]
is the net change in volume and the negative sign indicates that the work has been done by the system.
This equation is expanded and written as:
[tex]$$W=-P\left(V_{\text {final }}-V_{\text {initial }}\right) .......(2)$$[/tex]
Here,
is the final volume and
[tex]$V_{\text {final }}$[/tex]
is the initial volume.
Generally,
Vinitial
760 torr [tex]$=101325 \mathrm{~Pa}$[/tex]
The pressure is given as,
783torr
Convert units of pressure as follows:
[tex]$$\begin{gathered}P=\frac{101325 \mathrm{~Pa}}{760 \text { torr }} \times 783 \\=10^5 \mathrm{~Pa}\end{gathered}$$[/tex]
The volume is given as,
[tex]$72.9 \mathrm{~mL}$[/tex]
Convert units of volume as follows:
[tex]$$\begin{gathered}V_{\text {initial }}=72.9 \mathrm{~mL} \times \frac{10^{-6} \mathrm{~m}^3}{1 \mathrm{~mL}} \\=72.9 \times 10^{-6} \mathrm{~m}^3\end{gathered}$$[/tex]
A quantity can be represented in various units. These units are related to each other by some certain values. But the calculation is done only in SI units.
Hence, conversion of these units is necessary.
Work done is given is given by the equation (2).
Substitute [tex]$111.1 \mathrm{~J}$[/tex] for
as
[tex]$10^5 \mathrm{~Pa}$[/tex]
for
and
[tex]$72.9 \times 10^{-6} \mathrm{~m}^3$[/tex]
for
[tex]$V_{\text {initial }}$[/tex]
in equation (2).
[tex]$$\begin{gathered}111.1 \mathrm{~J}=-10^5 \mathrm{~Pa}\left(V_{\text {final }}-72.9 \times 10^{-6} \mathrm{~m}^3\right) \\111.1 \mathrm{Pam}^3=-10^5 \mathrm{~Pa}\left(V_{\text {final }}-72.9 \times 10^{-6} \mathrm{~m}^3\right) \\V_{\text {final }}=1\left(111 \times 10^{-6}+72.9 \times 10^{-6}\right) \mathrm{m}^3 \\=1184 \times 10^{-6} \mathrm{~m}^3\end{gathered}$$[/tex]
Hence,
[tex]$$\begin{gathered}V_{\text {final }}=1184 \times 10^{-6} \mathrm{~m}^3 \times \frac{1 \mathrm{~mL}}{10^{-6} \mathrm{~m}^3} \\=1184 \mathrm{~mL}\end{gathered}$$[/tex]
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how might knowledge of the constellations' location in the night sky help someone who is lost?
Answer: It could help them navigate on a ship
Explanation: