A bicyclist is stopped at the entrance to a valley, as sketched below. Where would the bicyclist have the highest potential energy? Where would The bicyclist have the lowest potential energy? Where would bicyclist have the highest kinetic energy? Where would the bicyclist have the highest speed winning? Conversation with the bicyclist’s Kinetic energy be higher at A or B? With a bicycle is potential energy be higher at A or B? What’s a bicyclist total energy we hire at A or B? Supposed to bicyclist lets off the brakes and coast down into the valley without peddling. Even if there was no friction or air resistance to slow her down, what is the farthest point the bicyclist could reach without peddling?

A Bicyclist Is Stopped At The Entrance To A Valley, As Sketched Below. Where Would The Bicyclist Have

Answers

Answer 1

Step 1 - Understanding the relation of potential energy, kinectic energy and the conservation of energy

The potential energy is the energy related to a body that can start moving under the influence of a force anytime soon.

The kinf of potential energy depends on the force that could act on the body. When a body is lifted, because gravity can pull it back, we say that this body has gravitational potential energy

Kinetic energy, on the other hand, is related to actual movement. It depends on the mass as well as on the velocity of the body. When we lift an object and drop it next, all the potential energy will be converted to kinetic energy, i.e., the velocity of the object we dropped will be also proportional to the height. It cannot gain more energy.

Step 2 - Interpreting the problem

Now that we know how potential and kinetic energy work, we can start working on the problem. Since potential energy is directly proportional to height, the highest potential energy would be attained at F.

The lowest potential energy, on the other hand, woud be attained at D, i.e., the smaller height.

The highest kinetic energy would be attained when all the potential energy is converted to kinetic energy, i.e., when the bicyclist, starting at A, loses its potential energy reaching D

The speed is directly proportional to the kinetic energy: the higher the speed, the higher the kinetic energy. Since the kinetic energy, as we saw, is the greatest at D, the velocity will also be the greatest at this point.


Related Questions

Where are non metals located in the periodic table?

Answers

Answer: Right Side

Explanation: The nonmetals or non-metals are a group of elements located on the right side of the periodic table (except for hydrogen, which is on the top left).

Answer: non-metals are on the right side of the periodic table. They are located to the right of the line (usually appears as a dark latter). Note that hydrogen is not located there but it is also a non-metal.

How is related the calorific capacity of a substance with its temperature?

Answers

The calorific capacity of a substance related to the temperature when specific heat of a substance ∆Q changes.

What is specific heat?

Specific heat is defined as the heat required to raise the temperature of 1 gram of a substance by one degree.

Specific heat = q/(∆T × mass of the substance)

What is Heat capacity?

Heat Capacity is defined as the amount of heat required to raise the temperature of the system by one degree.

Units of heat capacity :

The unit of heat capacity are joule/kelvin or joule/Celsius.

Heat capacity at constant volume = dU/dTHeat capacity at constant pressure = dH/dT

Thus, we concluded that the calorific capacity of a substance related to the temperature when specific heat of a substance ∆Q changes.

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Determine the quantity in moles of RbF that are in 57.0 grams of RbF.

Answers

The quantity of moles in 57.0grams of RbF is 0.545mol.

How to calculate number of moles?

Moles is the base unit of amount of substance i.e. the amount of substance of a system which contains exactly 6.022 × 10²³ elementary entities (atoms, ions, molecules, etc.).

The number of moles of a substance can be calculated by dividing the mass of the substance by its molar mass.

No of moles = mass ÷ molar mass

Molar mass of RbF = 85.467 + 18.998 = 104.5g/mol

moles = 57.0g ÷ 104.5g/mol = 0.545mol

Therefore, 0.545moles is the quantity of moles of RbF in 57.0grams of the compound.

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Helpppp

Use the reaction below to solve this problem.

Answers

68.7mL
Explanation:
• 1st. we write the reaction
2HCI(ag) + Ca(OH)2(s)
› CaCI2 (ag) + 2H20
(1).
2ns, we find moles of Ca(OH)2
moles= concentration x volume = 0.125mol/L
X0.05L=6.25X10^-3moles
• we find moles of HCI
mole ratio between HCI and Ca(OH)2 is 2:1
thus moles of HCI=2/1 x
6.25X10^-3moles=1.25x10^-2moles
• we find volume of HC
the concentration is 0.182mol/L
we know that 1L=0.182mol
thus =1.25X10^-2moles / 0.182mol x
1L=0.0687L
Volume of HCI required is 68.7mL

Which of the following statements does not describe the structure of an atom? The electron cloud is a small and compacted space around the nucleus? The electron cloud is a small and compacted space around the nucleus? Protons are positively charged sub-atomic particles? Or Electrons are negatively charged subatomic particles?

Answers

Atoms are made up of protons and neutrons in the center, with electrons circling in orbitals outside the nucleus.

As a result, option c is the right answer.

What is an atom's structure?

A complicated collection of electrons with negative charges grouped in specified shells around a positive-charged nucleus is an atom. This nucleus, which is made up of protons and neutrons, holds the majority of the atom's mass (except for common hydrogen which has only one proton). Every atom is nearly the same size.

The electron is a specific location where an electrons is most likely to be found. We can't see where an electrons is, but we can utilize its wave equation to calculate the likelihood that it is in a specific place.

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X If I want to measure the mass of a fly in metrics, What should I use

Answers

If want to measure the mass of a fly in metrics use a scale or a balance.

What is the most used metric system?

The current international standard metric system and the one that is most generally used worldwide is the International System of Units (Système international d'unités, or SI). It is a development of Giorgi's MKSA system, with the meter, kilogram, second, ampere, kelvin, candela, and mole as its fundamental units.

What tool should you use to measure mass?

A balance is used to estimate an object's mass for the majority of commonplace objects. The balance compares the target object to a known mass object. Digital scientific balances and beam balances, like a triple beam balance, are examples of several sorts of balances.

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The drawing shows Earth's revolution around the Sun.

Based on the drawing, what season are students in Florida experiencing when Earth is at position 1?

Answers

According to the image, it can be inferred that the students in Florida are in summer when the earth is in position 1.

What relationship does the movement of the earth have with the seasons?

The seasons are a term that refers to each of the periods of time in which the year is divided, with a duration greater than the months, characterized by the typical behavior of some meteorological variable. They occur cyclically and inverted between one hemisphere and another.

In general, the seasons are divided in this way:

Position 1: June 21 - September 23

Boreal Summer

I invest Austral

Position 2: September 23 - December 21

boreal autumn

southern spring

Position 3: December 21 - March 21

boreal winter

Ausral Summer

Position 4: March 21 - June 21

boreal spring

southern autumn

According to the above, it can be inferred that in position 1 the students from Florida will be in the summer season because Florida is in the boreal hemisphere of the earth (Northern hemisphere).

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Help me PLEEEEEAAASSEE ASAP I BEG YOU IF YOU KNOW THE ANSWER Which compares the effectiveness of methane and nitrous oxide as a greenhouse gas with that of carbon dioxide. Both methane and nitrous oxide are more effective greenhouse gases than carbon dioxide.
Both methane and nitrous oxide are more effective greenhouse gases than carbon dioxide.


Neither methane nor nitrous oxide is a more effective greenhouse gas than carbon dioxide.

Neither methane nor nitrous oxide is a more effective greenhouse gas than carbon dioxide.


Only methane is a more effective greenhouse gas than carbon dioxide.

Only methane is a more effective greenhouse gas than carbon dioxide.


Only nitrous oxide is a more effective greenhouse gas than carbon dioxide.

Only nitrous oxide is a more effective greenhouse gas than carbon dioxide.

Answers

Both methane and nitrous oxide are more effective greenhouse gases than carbon dioxide.

Measured over twenty years methane is eighty times more powerful than carbon dioxide and causes global warming, while nitrous oxide is 280 times more powerful. During the industrial age, carbon dioxide caused about 10 times more warming than nitrous oxide. But laughing gas is stronger. One pound of gas heats the atmosphere about 300 times more than one pound of carbon in 100 years.

Water vapor is the most powerful greenhouse gas in the Earth's atmosphere and plays a unique role among them. The amount of water vapor in the atmosphere is usually not directly changed by human actions. It depends on the air temperature. Compared to other anthropogenic greenhouse gases, carbon dioxide CO2 has the largest relative contribution to the increase in the greenhouse effect.

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Upon combustion, a 0.8009 g
g
sample of a compound containing only carbon, hydrogen, and oxygen produces 1.6004 g
g
CO2
C
O
2
and 0.6551 g
g
H2O
H
2
O
. Find the empirical formula of the compound.

Answers

The empirical formula of the compound is mathematically given as

C2H4O

This is further explained below.

What is the empirical formula?

Generally, The empirical formula of a chemical compound is the most straightforward representation of the atom counts in the molecule as whole numbers.

As a straightforward illustration of this idea, consider the empirical formula of sulfur monoxide, which is denoted by the symbol SO, and compare it to the empirical formula of disulfur dioxide, which is denoted by the symbol S2O2.

moles of CO_2=[tex]\frac{ 1.6004 }{44.01}[/tex]

moles of CO_2= 0.0364 moles

moles of H_2O=[tex]\frac{0.6551}{ 18.01 }[/tex]

moles of CO_2= 0.0364 moles

It takes 0.0364 moles of carbon to make up 1 mole of carbon dioxide.

1 mole of H2O contains 2 moles of hydrogen, which is equal to 2 times 0.0364, or 0.0728 moles of hydrogen.

C & H = 0.0364 x 12.01

C & H= 0.437 g C

0.0728 x 1.008 = 0.0734 gH

Mass O = 0.8009 -(0.437 + 0.0734)

Mass O= 0.2905 g

O moles=[tex]\frac{0.2905}{16}[/tex]

O moles= 0.0182 moles

C = [tex]\frac{0.0364}{ 0.0182}[/tex]

C= 2

H =[tex]\frac{0.0728}{ 0.0182}[/tex]

H = 4

O =[tex]\frac{0.0182}{ 0.0182 }[/tex]

O= 1

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The Rf value is used to produce a final confirmation of the identify of a substance.

True or False

Answers

The Rf value is used to produce a final confirmation of the identify of a substance its true sentence

In thin-layer chromatography, the retention factor Rf is used to compare and help identify compounds and the Rf value of a compound is equal to the distance traveled by the compound divided by the distance traveled by the solvent front both measured from the origin and Rf values are used to determine polarity, relative masses, and relative solubility's, among other things

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Which substances have the same empirical formula?
Sample Formula
1 CH3OH
2 CH2O
3 C6H12O6
4 C2H4O2
5 C7H5O2
6 C8H8
a. Samples 1 and 3
b. Samples 1, 2, and 4
c. Sample 1 and 4
d. Samples 2, 3, and 4

Answers

D) Samples 2, 3, and 4
Because when you simplify 3.C6H12O6, you get CH2O. And when you simplify 4.C2H4O2, you get CH2O. The simplified answers are the same as 2.CH2O. For sample 3 you divide by 6 and for sample 4 you divide by 2.

how many grams of silver iodide, AgI, are produced from 43.3 g of calcium iodide, CaI2?

Answers

Taking into account the reaction stoichiometry, 121.89 grams of AgI are produced from 43.3 g of calcium iodide.

Reaction stoichiometry

In first place, the balanced reaction is:

CaI₂ + 2 AgNO₃ → 2 AgI + Ca(NO₃)₂

By reaction stoichiometry (that is, the relationship between the amount of reagents and products in a chemical reaction), the following amounts of moles of each compound participate in the reaction:

CaI₂: 1 moleAgNO₃: 2 molesAgI: 2 molesCa(NO₃)₂: 1 mole

The molar mass of the compounds is:

CaI₂: 166.9 g/moleAgNO₃: 169.87 g/moleAgI: 234.77 g/moleCa(NO₃)₂: 164 g/mole

Then, by reaction stoichiometry, the following mass quantities of each compound participate in the reaction:

CaI₂: 1 mole ×166.9 g/mole= 166.8 gramsAgNO₃: 2 moles ×169.87 g/mole= 339.74 gramsAgI: 2 moles ×234.77 g/mole= 469.54 gramsCa(NO₃)₂: 1 mole ×164 g/mole= 164 grams

Mass of AgI formed

The following rule of three can be applied: if by reaction stoichiometry 166.8 grams of CaI₂ form 469.54 grams of AgI, 43.3 grams of CaI₂ form how much mass of AgI?

mass of AgI= (43.3 grams of CaI₂×469.54 grams of AgI)÷ 166.8 grams of CaI₂

mass of AgI= 121.89 grams

Finally, 43.3 grams of CaI₂ form 121.89 grams of AgI.

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Consider the reaction.2 Pb(s) + O₂(g) →→→ 2 PbO(s)->An excess of oxygen reacts with 451.4 g of lead, forming 316.9 g of lead(II) oxide. Calculate the percent yield of the reaction.

Answers

In this question, we have the following reaction:

2 Pb + O2 -> 2 PbO

We have to find the percent yield of this reaction, we have:

451.4 grams of Pb

316.9 grams of PbO, this is the actual yield, we will have to find the theoretical yield now

In order to find the theoretical yield, we need to know how many moles of Pb we have in 451.4 grams, the molar mass of Pb is 207.2g/mol

207.2g = 1 mol

451.4 g = x moles

207.2x = 451.4

x = 451.4/207.2

x = 2.18 moles of Pb in 451.4 grams

According to the molar ratio of Pb and PbO, we have the ratio of 2 moles of Pb to form 2 moles of PbO, therefore if we have 2.18 moles of Pb, we will also have 2.18 moles of PbO.

Now we need to find the theoretical mass of PbO, using its molar mass, 223.2g/mol

223.2g = 1 mol

x grams = 2.18 moles

x = 2.18 * 223.2

x = 486.6 grams of PbO is the theoretical yield

Now to find the percent yield, we need to use the following formula:

%yield = (actual yield/theoretical yield)*100

%yield = (316.9/486.6)*100

%yield = 65

The percent yield of this reaction will be 65%

Based on the diagram, describe the relationship between the deer population and biodiversity in forest c

Answers

Not adversely but deer population do effects the biodiversity in a way that plant diversity specifically get reduced.

What is biodiversity and how deer population effects the biodiversity?Biodiversity refers to the population of all plants and animals living on the earth along with other species.Now deer population is a bane and a boon both to the natural ecosystem, to the diverse unification of species on Earth.Deer in the forest eat the plants that tastes good and leave the ones that do not , even if it is the product or leaves of the same plants.This led to trouble in colonial growth of plants again , which reduces plants in that area.And deer population in every possible forest suffers this issue and collectively it accounts for a big biodiversity reduction.

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4. A balloon filled with 2 L of air is at 313 K. Suppose the temperature increases to 600 K. Calculatewhat happens to the volume of the balloon.

Answers

According to Charle's law, a balloon at 600 K has a volume of 3.83 L.

Describe Charles's law.

Charles' law states that, under constant pressure, the volume a given amount of gas fills is directly proportional to its absolute temperature. For instance, when the temperature drops during the winter, a basketball placed outside in the ground would contract.

Mathematically, Charles' law can be written as V1/T1 = V2/T2, where V1 denotes the volume at the beginning, T1 the temperature at that point, and V2 the volume at the end with T2 the temperature at that point.

The following examples of how Charles' law is applied in real life:

Helium balloons shrink when it's cold outside.

From Charles' law, V/T = constant

V₁/T₁ = V₂/T₂

or, 2/313 = V₂/600

or, V₂ = (2x600)/313

          = 3.83

Hence, form Charles' law we conclude the volume of balloon at 600 K is 3.83 L.

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Write the balanced NET ionic equation for the reaction when (NH4)2CO3 and CaCl2 are mixed in aqueous solution.

Answers

The balanced NET ionic equation for the reaction when (NH₄)₂CO₃  and CaCl₂ are mixed in aqueous solution.

  Ca²⁺(aq)  +   CO₃²⁻(aq)     --->   CaCO₃(s)

The reaction is :

(NH₄)₂CO₃        +    CaCl₂  ----->    NH₄Cl      +    CaCO₃

1) the balanced molecular eqaution :

(NH₄)₂CO₃(aq)     +    CaCl₂(aq)  ----->    2NH₄Cl(aq)      +    CaCO₃(s)

2) split strong electrolytes into ions : complete ionic equation

2NH₄⁺  +  CO₃²⁻   +   Ca²⁺   +   2Cl⁻  ----->    2NH₄⁺    +   2Cl⁻  +  CaCO₃

3) eliminate the spectator ions on both sides of ionic equation:

CO₃²⁻(aq)   +   Ca²⁺(aq)  --->   CaCO₃(s)

4) The net ionic equation is :

Ca²⁺(aq)  +   CO₃²⁻(aq)     --->   CaCO₃(s)

Thus, The balanced NET ionic equation for the reaction when (NH₄)₂CO₃  and CaCl₂ are mixed in aqueous solution.

  Ca²⁺(aq)  +   CO₃²⁻(aq)     --->   CaCO₃(s)

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The combustion of propane may be described by the chemical equation
C₂H₂(g) +50₂(g) → 3 CO₂(g) + 4H₂O(g)
How many grams of O₂(g) are needed to completely burn 27.6 g C₂H, (g)?

Answers

137.6 grams of oxygen are needed to completely burn 27.6 grams of C₂H₂ during the combustion of propane in the equation.

What is combustion?Combustion is the reaction of a substance with oxygen with a deliberate amount of heat and light release.There are several kinds of combustion rapid combustion, spontaneous combustion, and Explosive also.

The molar mass of C₂H₂ = 32 g

Molar mass of oxygen = 32 g

Therefore, the moles of propane is given as

27.6/ 32

=0.86 moles

Usually 1 equivalent of C₂H₂ will consume 5 equivalent of oxygen. So, 0.86 moles will consume

0.86 × 5

= 4.3

So, moles of oxygen will be

4.3 × 32

= 137.6 g

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Hydrochloric acid reacts with zinc, giving zinc chloride and hydrogen.Also,hydrochloric acid in concentrated aqueous solution undergoes electrolysis (with electrodes inert).
Define:
a) the mass in grams of the product in the cathode, if there are 0.5 mol/100 ml of HCl in the solution;
b) boiling under normal conditions of the gas obtained in the anode, if the pH of the acid is 2;
c) the mass in grams of the metal obtained in the cathode (electrolyzed glass), if the salt of zinc is formed by the interaction of 3.65 g of hydrochloric acid with zinc.

Answers

Hydrochloric acid reacts with zinc, giving Hydrogen gas and zinc chloride.

What occurs to zinc when zinc and hydrochloric acid interact?An aqueous solution of hydrogen chloride is hydrochloric acid, often called muriatic acid. It is a colorless solution with an overpowering odor.Hydrogen gas and zinc chloride are quickly formed when zinc and hydrochloric acid interact.Zinc metal displaces the hydrogen in a single displacement process to produce zinc chloride and hydrogen gas. Because the related reaction is exothermic, a significant amount of heat is produced: ZnCl2(aq) + H2 + Zn (s) + 2HCl (g)

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Which is the formula for calculating the mass number of an atom?

A protons + neutrons


B quarks + protons


C protons + electrons


D neutrons + electrons

Answers

Answer:

A: protons + neutrons

Explanation:

protons and neutrons both have the same mass. Their mass is much greater than the mass of an electron so it is deemed negligible

The line N is at a wavelength of 590 nm. Calculate the frequency of this light in Hertz

Answers

Answer:

5.08 x 10¹⁴ Hz

Explanation:

To find the frequency, you need to use the following equation:

f = c / λ

In this equation,

-----> f = frequency (Hz)

-----> c = speed of light (3.00 x 10⁸ m/s)

-----> λ = wavelength (m)

After converting the wavelength from nm to m, you can plug the given values into the equation and solve for "f".

 590 nm                     1 m
----------------  x  ------------------------  =  5.90 x 10⁻⁷ m
                              1 x 10⁹ nm

f = c / λ                                                              <----- Given equation

f = (3.00 x 10⁸ m/s) / (5.90 x 10⁻⁷ m)                <----- Insert values

f = 5.08 x 10¹⁴ Hz                                             <----- Divide

hexane has a density of 0.659 g/ ml. How many milliliters (mL) would a student need to pour in order to get 49.5 g if he hexane?

Answers

Answer:

75.114ml

Explanation:

volume = mass÷ density

. What is the molar mass of sulfuric acid, (H2SO4), a substance frequently used to commit horrific violent crimes against women? Show your work.

Answers

The molar mass of sulfuric acid, (H2SO4), is 98.079 g/mol.
The molar mass of sulfuric acid is 98.076.

12) When the pH of a solution decreases, what does that mean for the hydrogen ion concentration?

Answers

When the pH of a solution decreases, hydrogen ion concentration increases

The overall concentration of hydrogen ion is inversely related to its pH and can be measured on the pH on the pH scale which is from 1 to 14 and therefore the more hydrogen ions present, the lower the pH conversely the fewer hydrogen ions the higher the pH as the concentration of hydrogen ion is logarithmically inversely proportional to pH and pH of solution is decreased then hydrogen ion concentration will increase by the power of 10

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What are the wastes product from cellular respiration

Answers

The waste products of aerobic cellular respiration are carbon dioxide and water.

You are running a genetics experiment. Which of the following will help you obtain the copies of the gene you need?
A. Plasmid
B. Ribosome
C. Nucleus
D. Mesosome

Answers

Plasmids help you obtain the copies of the gene you need.

What are plasmids?In contrast to a cell's chromosomal DNA, plasmids are tiny, circular, double-stranded DNA molecules.Plasmids, which are found in a wide range of microorganisms, most notably bacteria, are small, extra-chromosomal circular DNA molecules that can replicate on their own without the assistance of the host.Plasmids naturally exist in bacterial cells and certain eukaryotes as well.Plasmid genes frequently give bacteria genetic advantages, such as antibiotic resistance.Bacteria and certain other tiny creatures have little, circular DNA molecules called plasmids.Chromosomal DNA is physically distinct from plasmids, which multiply autonomously.

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Plsss I need it urgently

Answers

From the particles shown, the ones that will have a stronger attraction to each other are those in water H₂O. This is because water has a boiling point of 100°C while that of CO₂ is -78.5. Hence, while both are covalently bonded, the bonds in water are stronger.

What is a Covalent Bond?

It is to be noted that a covalent bond is formed between two atoms by the mutual use of one or more pairs of electrons. The two atomic nuclei attract these electrons at the same time. When the difference in electronegativities of two atoms is too tiny for electron transfer to produce ions, a covalent bond occurs.

The word "covalent bond" first appeared in 1939. The prefix co- denotes jointly, related in action, paired to a lesser degree, etc.; hence, a "co-valent bond" in essence indicates that the atoms share "valence," as defined in valence bond theory.

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Fe(OH)2(s) + O2(g) +OH-Fe(OH)3(s) + H2O balance in basic solution

Answers

Fe(OH)₂(s) + O₂(g) +OH → Fe(OH)₃(s) + H₂O balance in basic solution is 4Fe(OH)₂ (s) + O₂(g) + 2H₂O → 4Fe(OH)₃(s)

A basic solution is an aqueous solution containing more OH⁻ ions than H⁺ ion

The unbalanced redox equation is as follows:

Fe(OH)₂(s) + O₂(g) +OH → Fe(OH)₃(s) + H₂O

In the chemical reaction all atoms other than hydrogen and oxygen are balanced and the oxidation number of fe changes from 2 to 3 and the change in the oxidation number is 1 and the oxidation number of fe changes from 0 to -2 and for 2O atoms the change in the oxidation number is 4 and then balance the equation with increase in the oxidation number and with decrease in the oxidation number

Fe(OH)₂(s) and Fe(OH)₃(s) with 4 then,

4Fe(OH)₂(s)+O₂(g) → 4Fe(OH)₃(s)

To balance O atoms, add 2 water molecules on LHS,

4Fe(OH)₂ (s) + O₂(g) + 2H₂O → 4Fe(OH)₃(s)

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What is the difference between structure and function in plants and animal cell organelles

Answers

Answer:

cell wall

Explanation:

plant cell have cell wall and can go through the process of plasmolysis.

they also contain stoma

animal cell are smaller

What happens when a solute dissolves in water?

Answer:
Dissociate

Answers

When a solute dissolves in water, a solution is formed.

What is a solute?

A solute is any substance capable of dissolving in a solvent in order to form a solution.

When a solute dissolves in a particular solvent, it is said to be that solvent-soluble. Otherwise, it is insoluble.

Now, when the solvent in question is water, the substance is said to be water-soluble or water-insoluble as the case may be.

If a solute is water-soluble, then it forms a solution. If the solute is ionic, it does not just form a solution, it dissociates into its component ions in the solution.

If the solute is not ionic, no dissociation occurs in the solution.

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22.5g of potassium carbonate is dissolved in water and then mixed with excess aluminum nitrate. How many moles of dried precipitate should be formed?

Answers

AnswerThe required balanced reaction is given as:

Explanations

[tex]3K_2CO_3(aq)+2Al_2\operatorname{\lparen}NO_3)_3+3H_2O\rightarrow2Al(OH)_3+3CO_2+6KNO_3[/tex]

Given the following

Mass of potassium carbonate = 22.5grams

Determine the moles of potassium carbonate

Moles of potassium carbonate = mass/molar mass

22.5/138.205|

= 0.1628moles

Since the precipitate formed is aluminum hydroxide, hence the mole of precipitate formed if 3moles off K2CO3 produce 2moles of Al(OH)3 is given as:

[tex]\begin{gathered} mole\text{ of Al\lparen OH\rparen}_3=\frac{2}{3}\times0.1628 \\ mole\text{ of Al\lparen OH\rparen}_3=0.1085moles \end{gathered}[/tex]

Hence the moles of dried precipitate should be formed

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