Kinetic energy directly proportional to the speed and/or the masses of a raised object.
What is kinetic energy?An item possesses kinetic energy when it is in motion. Applying force is necessary if we wish to accelerate an item. We must put forth effort in order to apply a force. Once the job is finished, energy is transferred to the item, which then moves at a new, constant speed.
The amount of kinetic energy that is transmitted is determined by the mass and speed attained. The relationship between kinetic energy and an object's mass and squared velocity is given by K.E. = 1/2 mv².
Thus, Kinetic energy directly proportional to the speed and/or the masses of a raised object.
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In horses, having chestnut hair (E) is dominant o having black hair (e). A homozygous dominant p is crossed with a homozygous recessive parent.the Punnett square shows the possible genotypes o offspring. Each offspring will express a phenotype of _________ hair.
Answer:
chestnut
Explanation:
In horses, having chestnut hair (E) is dominant over having black hair (e). If a homozygous dominant parent (EE) is crossed with a homozygous recessive parent (ee), the Punnett square will show that all of the offspring will have the genotype Ee (heterozygous).
Since the chestnut hair trait is dominant, all of the offspring will express the phenotype of chestnut hair, regardless of their genotype.
Therefore, each offspring will have chestnut hair.
I hope this helps! Let me know if you have any other questions.
camphor has a lower melting point range than that of borneol. does this make sense in terms of its structure? explain your reasoning.
Compared to borneol, camphor has a narrower melting point range. Does the structure of this make sense? Describe your thinking.
The melting and boiling points of alcohols are usually lower than those of ketones. the intermolecular hydrogen bond's brightness. As a result, the melting point is greater in the boreal. Camphor is a substance that is waxy, flammable, and transparent and has a strong aroma. Its molecular structure contains the terpenoid molecule C10H16O. It grows on the large East Asian evergreen tree known as the camphor laurel (Cinnamomum camphora). Alcohols are substances with the general chemical formula R-OH, where R is an alkyl or a substituted alkyl group. Therefore, alcohols are alkane derivatives that include one or more H.
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Look at the image shown.
H-H
What does this image represent?
Linear molecule with one domain
Linear molecule with two domains
Tetrahedral molecule with four domains
O
Trigonal planar molecule with three domains
define diffusion
pls answer ASAP
Answer:
Diffusion is the movement of particles from an area of high concentration to an area of low concentration.
Explanation:
Lithium has two isotopes with mass number 6 and 7. If the relative atomic mass of
lithium is 6.94, determine the percentage abundance of each isotope.
Answer: 86.14%, 100.86%
Explanation:
The relative atomic mass of an element is the average mass of the isotopes of the element, taking into account the abundance of each isotope. To determine the percentage abundance of each isotope, we can use the following formula:
Percentage abundance = (isotope mass / relative atomic mass) x 100
For the isotope with mass number 6, the percentage abundance would be:
(6 / 6.94) x 100 = 86.14%
For the isotope with mass number 7, the percentage abundance would be:
(7 / 6.94) x 100 = 100.86%
So the isotope with mass number 6 has an 86.14% abundance, and the isotope with mass number 7 has a 100.86% abundance. The sum of these two percentages is slightly greater than 100 because the relative atomic mass is an average and does not take into account the abundance of each isotope.
The air in your classroom contains a mixture of gases, including oxygen and nitrogen.
Which term best describes the solubility of the gases?
Answer:
The solubility of gases in a liquid or another gas is a measure of the extent to which the gas can dissolve in the liquid or gas. It is usually expressed as the amount of gas that can dissolve in a given volume of liquid or gas at a specific temperature and pressure. The solubility of gases in a mixture, such as the air in your classroom, can vary depending on the specific gases present and their relative proportions.
pls award brainliest!
Explanation:
what is the molality of a lithium chloride solution produced by dissolving 14.40 g of licl (42.39 g/mol) in 115 g of water?
Molality of a lithium chloride solution produced by dissolving 14.40 g of licl (42.39 g/mol) in 115 g of water is 2.96.
Molality is calculated by the formula -
Molality = number of moles of solutes ÷ weight of solvent in kilograms
Number of moles of solute = mass ÷ molecular mass
Number of moles of solute = 14.40/42.39
Performing division
Number of moles of solute = 0.34
Keep the values in formula to find the molality
We know, 1000 gram is 1 kilogram
Mass of water = 0.115 kilograms
Molality = 0.34/ 0.115
Performing division
Molality = 2.96
Thus, molality is 2.96.
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in the presence of sulfuric acid, this alcohol is dehydrated to form a pair of alkenes through an e1 mechanism. draw either of the major alkene products of this reaction.
in the presence of sulfuric acid, this alcohol is dehydrated to form a pair of alkenes through an e1 mechanism.hence we treat alcohol with H2SO, the main product is elimination. As we can see in the given reaction, the lone pair of oxygen electrons attached to the alcohol form a bond with the hydrogen of H2SO4 in step 1.
In the second step, H2O separates from the parent ring, resulting in a positive charge on the ring. In the third step, hydrogen is removed from the carbon next to the carbonium carbon, resulting in the formation of an alkene. An alkene is a hydrocarbon with a carbon-carbon double bond in organic chemistry. Alkene is frequently used as a synonym for olefin, which is any hydrocarbon with one or more double bonds. Monoalkenes are classified into two types: terminal and internal. The E1 mechanism, also known as unimolecular elimination, typically involves two steps: ionisation and deprotonation. As an intermediate during ionisation, a carbocation is formed. The carbocation loses a proton during deprotonation.
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What are the potential benefits from storing cord blood? What are the risks or costs?
Answer:
Cord blood contains cells called hematopoietic stem cells. These cells can turn into any kind of blood cell and can be used for transplants that can cure diseases such as blood disorders, immune deficiencies, metabolic diseases, and some kinds of cancers.
Explanation:
WILL GIVE BRAINLIEST
5. If water is added to magnesium nitride, ammonia gas is produced when
the mixture is heated. Mg3N2 (s) + H2O -> NH3 (g) + MgO (s). When excess water is added to 10.3 g of magnesium nitride, what volume of
ammonia will be collected at 24 deg C and 753 mm Hg?
Answer:
0.112L, good luck reading the whole thing
Explanation:
To find the volume of ammonia that will be produced when water is added to magnesium nitride, we need to first determine the number of moles of magnesium nitride that are present in 10.3 g of the compound. To do this, we can use the formula for the molar mass of a compound, which is given by:
molar mass = mass / moles
where mass is the mass of the compound and moles is the number of moles of the compound. Since the mass of magnesium nitride is given as 10.3 g, we can rearrange the formula to solve for the number of moles of the compound:
moles = mass / molar mass
The molar mass of magnesium nitride is given by the formula Mg3N2, which has a molar mass of 148 g/mol. Substituting this value into the formula for the number of moles of the compound and substituting the mass of magnesium nitride, we get:
moles = 10.3 g / 148 g/mol
= 0.069 mol
Since the balanced chemical equation for the reaction of magnesium nitride with water is given by:
Mg3N2 (s) + H2O -> NH3 (g) + MgO (s)
we can use the mole ratio between the reactants and products to determine the number of moles of ammonia that will be produced when 0.069 mol of magnesium nitride reacts with water. Since the equation is balanced, the mole ratio between the reactants and products is 1:1, meaning that for every 1 mole of magnesium nitride that reacts with water, 1 mole of ammonia will be produced. Therefore, the number of moles of ammonia that will be produced when 0.069 mol of magnesium nitride reacts with water is 0.069 mol.
To find the volume of ammonia that will be produced at 24 deg C and 753 mm Hg, we can use the ideal gas law, which is given by:
PV = nRT
where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature. Since the pressure and temperature of the reaction are given as 753 mm Hg and 24 deg C, respectively, we can rearrange the ideal gas law to solve for the volume of ammonia that will be produced:
V = nRT / P
Substituting the values for the number of moles of ammonia, the ideal gas constant, and the pressure and temperature of the reaction into the formula, we get:
V = (0.069 mol) * (0.08206 L * atm / mol * K) * (297 K) / (753 mm Hg)
= 0.112 L
Therefore, the volume of ammonia that will be produced when 10.3 g of magnesium nitride is reacted with water at 24 deg C and 753 mm Hg is 0.112 L.
If the reaction (NH4)3CO3 <--> 2NH3 + CO2 + H2O were at equilibrium, what would happen if the volume of the container were increased. Justify your answer
C₂H5OH + 202 → 2CO₂ + 3H₂O + 1367 kJ What is the mole ratio between water and carbon dioxide? ? mol H₂O mol CO2 Fill in the green blank.
Answer: There is a 3:2 mole ratio between these two compounds.
Explanation:To determine the mole ratio between water (H2O) and carbon dioxide (CO2) in the given chemical equation, you will need to balance the equation first. The balanced chemical equation is:
C2H5OH + 3O2 → 2CO2 + 3H2O + 1367 kJ
Once the equation is balanced, you can use the coefficients in front of each compound to determine the mole ratio. In this case, the coefficient for H2O is 3, and the coefficient for CO2 is 2, which means that there is a 3:2 mole ratio between these two compounds. This means that for every 2 moles of CO2, there are 3 moles of H2O produced in the reaction.
It is important to note that the mole ratio is only a way to express the relative amounts of reactants and products in a chemical reaction, and does not necessarily reflect the actual amounts of the compounds involved. To determine the actual amounts of each compound, you will need to know the mass or volume of the compounds, as well as their respective densities or molar masses.
4.0 mol Na can form 4.0 mol NaF and 2.5 mol F2 can form 5.0 mol NaF. What mass of NaF forms during the reaction? (NaF; 41.98 g/mol) [?] g NaF Round your answer to the tens place.
The mass of NaF that forms during the reaction would be 167.92 grams.
Stoichiometric problemSodium (Na) and fluorine (F) combine in a chemical reaction to form sodium fluoride (NaF) according to the following balanced equation:
[tex]Na + F --- > NaF[/tex]
From the equation, one can see that the mole ratio of Na to F is 1:1, Na to NaF is 1:1. and that of F to NaF is also 1:1.
Thus, with 4.0 mol Na and 5.0 F, 4.0 mol of NaF will also be formed. The Na will be the limiting reagent while F will be in the excess pf 1.0 mol.
Recall that, mass = mole x molar mass.
Thus, the mass of 4.0 mol Naf can be calculated as:
mass = 4.0 x 41.98
= 167.92 grams
In other words, the mass of NaF formed during the reaction would be 167.92 grams.
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once the substance is in the gas phase what would happen if you continue to increase the temperature
It is clear that as temperature rises, the kinetic energy of the particles in a perfect atomic gas also rises. This also holds true for actual gases and other ideal gases with more intricate molecular structures.
Heat energy is arbitrarily measured as "temperature" (enthalpy). When a system encounters a higher energy source, the temperature of that system rises as a result.
The result is the transmission of energy as heat, regardless of the source. Heat causes molecules to move more quickly (absorb energy), and some or all of the heat energy is transformed into kinetic energy.
Therefore, the result of heating a gas is a quicker rate of molecular motion. Because of the molecules' more frantic, frenetic mobility and subsequent collisions with the container walls, there is a rise in pressure inside the container.
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While attempting to determine the structure of a compound using elemental analysis and functional group tests, you are generally able to recover your original sample.
While attempting to determine the structure of a compound using elemental analysis and functional group tests, you are generally able to recover your original sample.
True
False
True, You can typically get your original sample back when utilizing functional group tests and elemental analysis to try to figure out a compound's structure.
Which test is applied to a compound's elemental analysis?
In an elemental analysis, the sodium test, also known as Lassaigne's test, is used to determine whether certain foreign elements, such as halogens, nitrogen, sulfur, and phosphorus, are present in an organic compound.
What analytical techniques can be used to ascertain a compound's structure?
The four primary methods are mass spectrometry, nuclear magnetic resonance (NMR) spectroscopy, infrared (IR), and ultraviolet and visible spectroscopy. A minimal amount of sample is required for spectroscopy, and after an IR, NMR, or UV spectrum has been generated, the sample can be reused.
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a fire is which type of reaction? question 11 options: reduction single replacement double replacement reaction oxidation\
A fire is a single replacement reaction.
Fire converts fuel and oxygen chemically into carbon dioxide and water. Because it is an exothermic reaction, heat is produced. The reason for this is that the chemical connections between the oxygen molecule's molecules are often weak, but the new bonds formed are more stable and result in a net production of energy. During combustion events, carbon dioxide is not directly created. Instead, a large number of intermediate molecules are utilized along the path. Incomplete combustion can occasionally result in extraordinarily large concentrations of these intermediate molecules. For example, a flame that doesn't get enough oxygen may produce carbon monoxide instead of carbon dioxide.
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The volume of a sample of water is found to be 86.3 cubic centimeters (cm3). What is the volume of the sample in mm3?
answer; 8.017*10^3
Explanation: because cube means it is multiplication of three times so we multiply 86.3 three times and again we multiply it with 100 because we need to convert it in mm and at last we put the answer in cube root ..
an aqueous solution of ammonia, nh3, has a concentration of 6.70 mol/l and has a density of 0.950 g/ml. what are the mass percent and molality of nh3 in this solution?
The mass percent of [tex]NH_{3}[/tex] is 12.01% and The molarity of [tex]NH_{3}[/tex] is 8.015m
Aqueous solutions are solutions in which the solvent is water. It is most often represented by a chemical formula by adding (aq) to the appropriate chemical formula. For example, an aqueous solution of table salt or sodium chloride (NaCl) is represented as Na+(aq) + Cl-(aq)
Calculation :
Let the volume of solution be 1 L
So, number of mol of \ in 1 L solution will be = 6.70 mol
Mass NH3 = mol x molar mass
= 6.70 mol x 17.031 g/mol
= 114.1 g
Mass of solution = density x volume
= 0.950 g/mL x 1000 mL
= 950 g
Mass percent of NH3 = ( mass NH3 / mass solution ) x 100
putting values :
= (114.1 g / 950 g ) x 100
= 12.01 %
Mass of solvent = mass of solution - mass NH3
= 950 g - 114.1 g
= 835.9 g
1 kg = 1000 g
mass of solvent in kg = 835.9 / 1000 kg
= 0.8359 kg
Molality = mol solute / mass solvent in kg
= 6.70 mol / 0.8359 kg
= 8.015 m
So, mass percent NH3 = 12.01 %
molality of NH3 = 8.015 m
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FILL IN THE BLANK. A factor (x − a)k, k > 1, yields a ________ ________ x = a of ________ k.
A factor (x - a) raised to k, k > 1, yields a repeated zero x = a of multiplicity k.
In mathematics, a polynomial is an expression consisting of uncertainties and coefficients that involve only addition, subtraction, multiplication, and positive integer powers of variables.
A polynomial is defined as an expression consisting of variables, constants, and exponents combined by operations such as addition, subtraction, multiplication, and division (without dividing by a variable). In mathematics and computer algebra, the polynomial multiplier or polynomial multiplier represents a polynomial or integer with coefficients in a particular domain as the product of irreducible factors with coefficients in the same domain. a domain. For example, the factorisation of x2 + 2x is x(x + 2), where x and x+2 are the factors that can be multiplied together to get the original polynomial.
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what is the molar concentration of cl- when 0.20 mol of zncl2 are dissolved in enough water to prepare 3.0 l of solution
The molar concentration of Cl- when 0.20 mol of ZnCl₂ are dissolved in enough water to prepare 3.0 l of solution is 0.13 M
What is it Chloride ion What is it?The chloride ion is the anion Cl. It is created when a molecule, such as hydrogen chloride, dissolves in water or other polar solvents, or when the element chlorine gets an electron. Sodium chloride and other chloride salts are usually highly soluble in water.
It is an electrolyte that is present in all biological fluids and is in charge of regulating the flow of liquid into and out of cells, conveying nerve impulses, and keeping the acid/base balance.
Less frequently, the "common" name of a chemical compound with one or more chlorine atoms covalently bound may contain the term chloride.
Given the molecular formula, we have two chlorine atoms for every mole of ZnCl₂
0.2 mol ZnCl₂ x 2 mole Cl⁻/ 1 mole ZnCl₂ = 0.4 mol Cl⁻
Now we will divide this by the volume of the solution as liters
Concentration = 0.4 mol Cl⁻ / 3 L = 0.13 M
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45)the pressure of a gas is 2.30atm in a 1.80l container. what is the final pressure of the gas if the volume is decreased to 1.20l?
According to Boyle's Law the pressure of a gas is 2.30atm in a 1.80l container. 3.45 atm is the final pressure of the gas if the volume is decreased to 1.20
Boyle's Law demonstrates the relationship between a gas's pressure and volume. To demonstrate, we press the plunger down to alter the gas's volume. The volume is reduced as a result, and as a result of the gas molecules' reduced space, the pressure is rising:
V1 = 1.80 L, V1 = 2.30 atm, V2 = 1.20 L, and P2 =?
P1V1=P2V2
Rearrange now to compute P2:
P2=P1V1V2 P2=2.30atm×1.80L1.20L=3.45atm
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how many molecules of water are produced by the electron-transfer chain during the complete aerobic oxidation of one molecule of pyruvate?
The water molecule produced by the electron transfer chain of one pyruvate molecule is 5H2O.
Aerobic respiration is the process of breaking down glucose compounds with the help of oxygen. Oxygen will gain electrons and then react with hydrogen ions to produce water or H2O.
Aerobic respiration consists of four stages, the first stage is glycolysis, where glucose is converted into two pyruvic acids, 2 NADH, and 2 ATP. Then 2 pyruvic acids are converted into 2 acetyl co-A and 2 NADH in the process of oxidative decarboxylation. 2 acetyl co-A is converted to 4 CO2, 6 NADH, 2FADH2, and 2 ATP in the kreb cycle. In the final stage of electron transport 10 NADH and 2 FADH2 are converted to 34 ATP and 10H2O. So in 1 pyruvic acid 5 H2O molecules are produced during the electron transport process.
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4.0 mol Na can form 4.0 mol NaF and 2.5 mol F2 can form 5.0 mol NaF. What mass of NaF forms during the reaction? (NaF; 41.98 g/mol) ? ] g NaF Round your answer to the tens place. g NaF
The mass of NaF forms during the reaction of 4.0 m Na and 2.5 mol [tex]F_2[/tex] to form 4.0 mol NaF would be 167.92 grams.
Stoichiometric problemSodium (Na) and Fluorine molecule ([tex]F_2[/tex]) reacts to form NaF according to the following balanced equation:
[tex]2Na + F_2 --- > 2NaF[/tex]
Now, according to the illustration, 4.0 mol of NaF is formed. Thus half of our problems have already been solved.
Recall that the mass of a substance is the product of the number of moles of the substance and its molar mass. This is mathematically expressed as:
mass = mole x molar mass
We already know that 4.0 mol of NaF was formed and the molar mass of NaF was given as 41.98 g/mol. Thus:
Mass of 4.0 mol of NaF = 4.0 x 41.98
= 167.92 grams
In other words, the mass of NaF that would be formed during the reaction will be 167.92 grams.
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gases w and x react in a closed, rigid vessel to form gases y and z according to the equation above. the initial pressure of w(g) is 1.20 atm and that of x(g) is 1.60 atm. no y(g) or z(g) is initially present. the experiment is carried out at constant temperature. what is the partial pressure of z(g) when the partial pressure of w(g) has decreased to 1.0 atm?
Chemistry is the study of substances and bonds. There are two different sorts of elements: metals and bases.
0.20 atm is the right response.
What exactly is partial pressure?Each gas in a mixture of gases has a partial pressure, which is the notional pressure of that gas if it occupied the complete volume of the initial mixture at the same temperature on its own.
A mixture of ideal gases has a total pressure equal to the sum of its constituent gases' partial pressures.
Consider the subsequent response.
Z = W(g) + X(g) Y(g) (g)
Using an ICE chart, we can determine the partial pressure of Z at a moment we'll refer to as the equilibrium.
We label each row with the pressure or change in pressure for each of the three stages: Initial, Change, and Equilibrium.
Y(g) + Z = W(g) + X(g) (g)
I 1.20 1.60 0 0 C -x -x +x +x E 1.20 -x 1.60 -x x x
The partial pressure of W at equilibrium is 1 atm.
As a result, Z has a pressure of x = 0.20 atm.
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how many moles of sodium chloride will be produced from the neutralization of 2.4 moles of hydrochloric acid?
From the neutralization of 2.4 moles of hydrochloric acid sodium chloride will be produced 2.4 moles.
HCl + NaOH ⇄NaCl + H2O
1 moles of HCl and 1 moles of NaOH needed to produce 1 mole of NaCl .
2.4 moles of HCl and 2.4 moles of NaOH needed to produce 2.4 mole of NaCl .
When determining how much of a substance there is, the concept of a mole is helpful. When dealing with particles at the atomic (or molecular) level, it is well understood that even a single gram of a pure element includes a vast number of atoms. The mole notion is widely utilized in this context. The most common unit of measurement is the "mole," which is a count of many particles. The number 6.02214076*1023, commonly known as the Avogadro constant, is frequently denoted by the letter "NA". Among the elementary entities that can be represented in moles are atoms, molecules, monoatomic and polyatomic ions, as well as other particles (such as electrons)
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the star r coronae borealis varies irregularly due to emission of clouds of this element. the atmosphere of cw leonis is dominated by this element. in addition to transition metal oxides and lithium, compounds containing this element are characteristic of spectra of brown dwarfs. the immediate cause of
The star r coronae borealis varies irregularly due to emission of clouds of carbon.
The R Coronae Borealis (RCB) stars are known for their prolific production of dust, which results in their pronounced, recognizable brightness declines. The stars are carbon-rich and hydrogen-deficient. There are significant extended dust shells around several RCB stars, including the star itself, R Coronae Borealis (R CrB).
There are three ways that the shells could develop. There are three possible explanations for these remnants: (1) they are fossil Planetary Nebula (PN) shells, which would be present if RCB stars were created by a final, helium-shell flash; (2) they are material from the white-dwarf (WD) merger that produced the RCB stars; or (3) they are materials that were lost from the star during the RCB phase.
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As a distant star moves away from Earth, the light given off by the star has a measurably lower frequency. What happens to the wavelength and energy of the photons of light when the frequency becomes lower?
a. The wavelength becomes longer, and the energy decreases.
b. The wavelength becomes shorter, and the energy decreases.
c. The wavelength becomes longer, and the energy increases.
d. The wavelength becomes shorter, and the energy increases.
As a distant star moves away from earth, a. The wavelength becomes longer, and the energy decreases.
What is wave length?The distance between two successive crests or troughs of a wave is known as its wavelength. The direction of the wave is used to measure it.
The distance a wave travels between its crests or troughs is known as its wavelength (which may be an electromagnetic wave, a sound wave, or any other wave). The peak of the wave is called the crest, while the trough is its base. Because a wavelength represents a distance or length, it is expressed in length units like meters, centimeters, millimeters, nanometers, etc.
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write net ionic equation for the following reaction: h2so4(aq)+mgco3(s)→h2o(l)+co2(g)+mgso4(aq).
The corresponding total ionic equation for the given reaction is:
H+(aq) + SO42+(aq) + MgCO3(s) ---> H2O(l) + CO2(g) + Mg2+(aq) + SO42+(aq)
Omitting the spectator ion which is the S042+ ion, we get the net ionic equation:
H+(aq) + MgCO3(s) ---> H2O(l) + CO2(g) + Mg2+(aq)
Net Ionic Equation:
A chemical reaction involving ionic species can be represented by a molecular, total, or net ionic equation. The molecular equation shows all the species in the undissociated/unionized forms. The total ionic species all the species in their dissociated/ionized ionic aqueous forms along with undissociated solid or liquid species. The net ionic equation, on the other hand, shows only those species which undergo a chemical change to form a non-aqueous species and omits any spectator ions that remain unchanged in the process.
Magnesium carbonate + Sulfuric acid → Magnesium sulfate + carbon dioxide + water.
The names of the products formed in this reaction are Magnesium sulphate, carbon dioxide and water.
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a solution is prepared by dissolving 42.23 g of nh 4 cl into enough water to make 500.0 ml of solution. calculate its molarity.
The solution's molarity will be 0.7893 mol in accordance with the question that has been provided.
Describe molarity using an example.the amount of solute in moles per solution liter. Table salt is the molecule and moisture is the liquid when it is dissolved in salt. Sodium chloride weights 58.44 grams per mole. If you dilute 58.44 grams of sodium chloride (1M) in a liter of water.
What is a 5% solution's molarity?5 grams of sucrose in 100 mL and 50 grams in 1l is referred to as a 5% solution of glucose. 180 grams od glucose will be present in 1L of a 1 molar liquid of glucose. As a result, the solution containing 5% glucose will possess a number of moles of 0.27 about 270 mili molar.
Briefing:
molar mass: 53.50 g/mol
mass: 42.23 g NH4Cl
volume: 0.500 L
mass x molar mass = 0.7893 mol
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one antifreeze solution is % alcohol and another is % alcohol. how much of each mixture should be added to make l of a solution that is % alcohol?
One antifreeze solution contains % alcohol, whereas the other does not. The next section explains how much of each combination to use to create one liter of alcohol-containing solution.
There are two requirements that must be met: (a) the combined volume of the two solutions must equal the sum of the volumes of the two solutions; and (b) the combined volume of the two solutions must contain the same quantity of alcohol as the combined volume of the two solutions.
Thus, we have two equations:
(1) V26 + V21 = V24 = 60 L
(2) c26V26 + c21V21 = c24V24
Equation (1) yields
(3) V21=60 L - V26.
Equation 2 yields the following:
(4) 0.26V26+0.21V21=0.24 60 L = 14.4 L
Equation 3 is replaced by 0.26V26+0.21(60 L - V26)=14.4 L in equation 4.
0.21V26=14.4 L, 0.05V26=1.8 L, and 0.26V26+12.6 L
V21=60 L - 36 L = 24 L,
where V26=1.8 L/0.05=36 L.
To get 60 L of 24% alcohol, combine 36 L of 26% alcohol with 24 L of 21% alcohol.
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complete question:
One antifreeze solution is 26% alcohol and another is 21% alcohol. How much of each mixture should be added to make 60 L of a solution that is 24% alcohol?