A 0.2 g sample of pyrolusite is analyzed for manganese content as follows. Add 50.0 mL of 0.1 M solution of ferrous ammonium sulfate to reduce the MnO2 to Mn2 . After reduction is complete, the excess ferrous ion is titrated in acid solution with 0.02 M KMnO4, requiring 15.0 mL. Calculate the percent manganese in the sample as Mn3O4.

Answers

Answer 1

Answer:

66.7%

Explanation:

The reaction for the titration of the excess ferrous ion is:

5Fe⁺² + MnO₄⁻ + 8H⁺ → 5Fe³⁺ + Mn²⁺ + 4H₂O

We calculate the moles of Fe⁺² from the used moles of KMnO₄:

0.02 M * 15.0 mL = 0.30 mmol KMnO₄0.3 mmol KMnO₄ * [tex]\frac{5mmolFe^{+2}}{1mmolKMnO_4}[/tex] = 1.5 mmol Fe⁺²

Then we substract those 0.30 mmol from the original amount used:

0.1 M * 50.0 mL = 5.0 mmol Fe⁺²5.0 - 1.5 = 3.5 mmol Fe⁺²

The reaction between ferrous ammonium sulfate and MnO₂ is:

2Fe⁺² + MnO₂ + 4H⁺ → 2Fe³⁺ + Mn²⁺ + 2H₂O

So we convert those 3.5 mmol Fe⁺² that were used in this reaction to MnO₂ moles:

3.5 mmol Fe⁺²  * [tex]\frac{1mmolMnO_2}{2mmolFe^{+2}}[/tex]= 1.75 mmol MnO₂

Then we convert MnO₂ to Mn₃O₄, using the reaction:

3MnO₂ → Mn₃O₄ + O₂1.75 mmol MnO₂ * [tex]\frac{1mmolMn_3O_4}{3mmolMnO_2}[/tex] = 0.583 mmol Mn₃O₄

Finally we convert Mn₃O₄ moles to grams:

0.583 mmol Mn₃O₄ * 228.82 mg/mmol = 133.40 mg Mn₃O₄

And calculate the percent

0.2 g = 200 mg133.40 / 200 * 100% = 66.7%

Related Questions

How is zinc chloride formed

Answers

Answer:

Explanation:

Zinc chloride, ZnCl2, can be prepared by a direct reaction or by evaporating the aqueous solution formed in various reactions. It is strongly deliquescent (water-absorbing) and is utilized as a drying agent and as a flux.4

plz mark as brainliest

1. Name the structure that the arrow points to

Answers

Answer:

i have been doing research and i think its the style. if not its the pollen tube.

Explanation:

Hope i helped!

Answer:

stigma

Explanation:

name the element whose atomicity is triatomic​

Answers

Answer:

OZONE...............

An unknown metal has a mass of 77.3 g. When 3610 J of heat are added to the sample, the sample temperature changes by 52.1 ∘C. Calculate the specific heat of the unknown metal. Metal Specific heat (J/g⋅∘C) aluminum 0.897 tin 0.210 strontium 0.301 barium 0.204 calcium 0.650 nickel 0.440

Answers

Answer:

specific heat = .897 J /g°C

Explanation:

Quantity of heat added = mass x specific heat x rise in temperature

3610 = 77.3 x specific heat x 52.1

specific heat = .897 J /g°C

Unknown metal is Aluminium .

what causes convection currents in a gas or liquid?​

Answers

Answer:

Convection currents are caused by a temperature difference in gases and liquids. As one area becomes warmer than another the molecules have more energy and start vibrating more vigorously thus spreading out and becoming less dense. This means that the less dense parts will become more buoyant causing them to rise.

Explanation:

Answer:

Convection currents are caused by a temperature difference in gases and liquids.  

Explanation:

As one area becomes warmer than another the molecules have more energy and start vibrating more vigorously thus spreading out and becoming less dense. This means that the less dense parts will become more buoyant causing them to rise.

Mr. Juan is husband of Maria, before they get married Maria knows that her husband cannot make a baby since he cant produce sperm. But during their 2 years in marriage, Maria got pregnant. Is Juan can file a case to Maria? What it is? Support your answer?​

Answers

Answer:

yes but first he need to check himself

Explanation:

bcoz if he cannot produce a sperm than she might have cheated him and the baby might be of someone other.

Identify the term that matches each electrochemistry definition.

a. An electrochemical cell powered by a spontaneous redox reaction.
b. The electrode where reduction occurs.
c. The electrode where oxidation occurs
d. An electrochemical cell that takes in energy to carry out a nonspontaneous redox reaction.
e. A chemical equation showing either oxidation or reduction.

1. Cathode
2. Anode
3. Galvanic cell
4. Half reaction
5. Electrolytic cell

Answers

The correct matches are:

a. 3. Galvanic cell.

b. 1. Cathode.

c. 2. Anode.

d. 5. Electrolytic cell.

e. 4. Half reaction.

What is electrochemistry?

Electrochemistry is the study of chemical reactions in which movement of electron happen.

An electrolytic cell is the cell in oxidation and reduction occurs.

It's all about how electrical energy interacts with chemical transformation.

For example, is concerned with the study of electrochemical cells. It is concerned with cells that convert chemical to electrical energy.

Thus, the correct matches are a. 3. Galvanic cell.

b. 1. Cathode.

c. 2. Anode.

d. 5. Electrolytic cell.

e. 4. Half reaction.

Learn more about electrochemistry

https://brainly.com/question/16912983

The rms speed of the molecules of a gas at 145∘C is 187 m/s. Calculate the mass m of a single molecule in the gas.

Answers

The mass m of a single molecule in the gas is 32.19 g

The root square mean  (R.M.S) velocity V of the molecules of a really perfect fuel is given with the aid of the expression, v=sqrt(3RTM) and v=sqrt(3KTm) where R is universal gas consistent, T is absolutely the (Kelvin) temperature, m is the molar mass, okay is Boltzmann's consistent and M is the molecular mass.

The basis-mean-square speed is utilized in fuel, for the measure of the speed of debris, mentioned as the square root of the common speed-squared of the molecules in a gas. it's far represented with the aid of the equation:

Calculation:-

vrms=√3RT/M,

M = √3RT/vrms

   = 1.732 × (8.314) ×418 / 187

  = 32.19 g

Learn more about RMS speed here:-https://brainly.com/question/12896215

#SPJ1

A 50.0 mL solution of Ba(OH)2 is combined with a 150 mL solution of 0.20 M HCl. If the resulting solution has a hydroxide ion concentration of 0.12 M, what was the concentration of Ba(OH)2 in the original solution?

Answers

Answer:

0.54M of Ba(OH)2

Explanation:

When Ba(OH)2 reacts with HCl, BaCl2 and H2O are produced as follows:

Ba(OH)2 + 2HCl → BaCl2 + 2H2O

The remanent hydroxide ion is because not all Ba(OH)2 reacts. Thus, we need to find moles of Ba(OH)2 that doesn't react and moles of Ba(OH)2 that reacts. The ratio between total moles and volume of the Ba(OH)2 solution = 0.050L is the molarity of the original solution

Moles of Ba(OH)2 that doesn't react:

50mL + 150mL = 0.200L * (0.12 mol OH- / L) = 0.024 moles OH-

2 moles of OH- are in 1 mole of Ba(OH)2:

0.024 moles OH- * (1mol Ba(OH)2 / 2 mol OH-) = 0.012 moles Ba(OH)2

Moles of Ba(OH)2 that react:

0.150L * (0.20mol / L) = 0.030 moles HCl

2 moles of HCl react per mole of Ba(OH)2:

0.030 moles HCl * (1mol Ba(OH)2 / 2 mol HCl) = 0.015 moles Ba(OH)2

Total moles:

0.012mol + 0.015mol = 0.027mol Ba(OH)2 in 50mL

0.027mol Ba(OH)2 / 0.0500L =

0.54M of Ba(OH)2

H20+ SO3 ? Which compound is likely produced by the chemical reaction?​

Answers

Answer:

h2so4

Explanation:

im big brain.

2. Enumerate four Reactive Oxygen Species (ROS)

Answers

Answer:

Examples of ROS include peroxides, superoxide, hydroxyl radical, singlet oxygen, and alpha-oxygen.

500 cc of 2N Na2CO3 are mixed with 400 cc of 3N H2SO4 and volume was diluted to one litre. Will the resulting solutiomacidic,basic or neutral?Also calculate the molarity of the dilute solution.​

Answers

Answer:

Given info : 500 cc of 2N Na2CO3 are mixed with 400 cc of 3N H2SO4 and volume was diluted to one litre. To find : will the resulting solution is acidic , basic or neutral ? Calculate the molarity of the dilute solution. solution : no of moles of Na2CO3 = normality/n %3D - factor x volume 2/2 x 500/1000 = 0.5 mol %D no of moles of H2SO4 = 3/2 x 400/100O = 0.6 mol %3D We see, Na2CO3 + H2S04 => Na2S04 + CO2 + H2O Here one mol of Na2C03 reacts with one mole of H2SO4. So, 0.5 mol of Na2CO3 reacts with 0.5 mol of H2SO4. so, remaining 0.1 mol of H2SO4 makes solution acidic. Now molarity of solution = remaining no of moles of H2SO4/volume of solution= 0.1/1 = %3D 0.1M

"When 500 cc of 2N [tex]Na_{2}CO_{3}[/tex] is mixed with the 400 cc of 3N [tex]H_{2} SO_{4}[/tex] and volume was diluted to one liter then solution will be acidic and molarity will be 0.55 mol"

What is Molarity?

The molar concentration of a chemical species, specifically a solute in a solution, is measured in terms of the amount of material per unit volume of solution.

It is given that normality of [tex]Na_{2}CO_{3}[/tex] is 2 and [tex]H_{2} SO_{4}[/tex] is 3. It can be written in term of molarity like, the molarity of [tex]Na_{2}CO_{3}[/tex] is 0.1 M and molarity of [tex]H_{2} SO_{4}[/tex] is 1.5 M.

Now calculate the number of moles in [tex]Na_{2}CO_{3}[/tex]

For [tex]Na_{2}CO_{3}[/tex] = 500 cc / 1000 cc/L ×0.1 mol/L =0.05 mol.

For [tex]H_{2} SO_{4}[/tex] = 400 cc/ 1000 cc/L × 1.5mol /L = 0.60 mol.

It can be said that 0.05 mol reacts with  0.05 mol [tex]H_{2} SO_{4}[/tex] .

Now calculate the molarity of  [tex]H_{2} SO_{4}[/tex] solution= 0.55 mol /L = 0.55 mol.

Hence, remaining 0.1 mol solution will make acidic.

To know more about molarity click here.

https://brainly.com/question/4401006

#SPJ2

how many atoms does sodium hypochlorite have?

Answers

Answer:

NaClO; the contained elements ae Na, Cl, O.

Someone please help me!!!!

Answers

Double replacement :

2Na₃PO₄+3CaCl₂⇒6NaCl + Ca₃(PO₄)₂

Further explanation

1. A single replacement reaction is a chemical reaction in which one element replaces the other elements of a compound to produce new elements and compounds

2. Double-Replacement reactions. Happens if there is an ion exchange between two ion compounds in the reactant to form two new ion compounds in the product

3. Combination/syntesis : 2 or more reactants combine to form a new compound

4. Decomposition : the reactant is decomposed into 2/more products

If we look at the reaction options available, all of them can be included in the double replacement reaction, but we only choose the reaction from Sodium phosphate and Calcium chloride which leads to options: C because it is balanced (from the number of atoms in the same reactant and product) and is in accordance with the chemical formula of each compound (both products and reactants)

ammonia is______a base

Answers

Answer:

Ammonia is moderately a base

Ammonia is a Moderately base

A car's fuel efficiency is 39.0 miles per gallon. What is its fuel efficiency in kilometers per liter? (1.6094 km=1 mile)(1 gallon=3.79 L)

Answers

Answer:

the fuel efficiency in kilometers per liter is 16.561 kilometer per liter

Explanation:

The computation of the full efficiency in kilometers per liter is shown below:

39.0 miles ÷ gallon = (39.0 miles ÷ gallon) × (1.6094 km ÷ 1 miles)  × (1 gallon ÷ 3.79 L)

Now cut the opposite miles and gallons

So, the fuel efficiency would be

= 16.561 kilometers per liter

Hence, the fuel efficiency in kilometers per liter is 16.561 kilometer per liter

What is the pH of a 0.164 M monoprotic acid whose Ka is 9.217 × 10−3?

Answers

Answer:

The pH of the solution is 1.68.

Explanation:

Hope this helped!

A solution is made by dissolving

37.5 g of sodium sulfide (Na2S) in

217 g of water.

What is the molality of the solution?

Answers

Answer:

2.21m

Explanation:

Molality, m, is defined as the ratio between moles of solute (The substance that is in less amount, sodium sulfide) and kilograms of solvent (Water, in this case).

Thus, we need to convert mass of sodium sulfide to moles using its molar mass and grams of water to kilograms:

Moles Na2S (Molar mass: 78.0452g/mol):

37.5g * (1mol / 78.0452g) = 0.48 moles Na2S

Kilograms water:

217g * (1kg / 1000g) = 0.217kg

Molality:

0.48 moles Na2S / 0.217kg =

2.21m

Answer:

2.21

Explanation:

5. What is metallic bonding?
6. Why are metals shiny?

Answers

Answer:

Metallic bonding is found in metals and their alloys. When the atoms give up their valence electrons, they form ions. These ions are held together by the electron cloud surrounding them. Metals are shiny because they have a lot of free (i.e. delocalized) electrons that form a cloud of highly mobile negatively charged electrons on and beneath the smooth metal surface in the ideal case. ... In the absence of any external EM field, the charges in the plasma are uniformly distributed within the metal.

Explanation:

In metallic bonding, the electrons are “surrendered” to a common pool and become shared by all the atoms in the solid metal.

What does this passage explain about people?

why mothers favor some children over others

the contrasting sides of human nature

why there is harmony in all things

left- and right-handedness

Answers

Answer:

the contrasting sides of human nature

Explanation:

I took the test

How are changes of state different from chemical change?

Answers

Question:

How are changes of state different from chemical change?

Answer:

Physical changes alter only the size, shape, form or matter state of a material. Water boiling, melting ice, tearing paper, freezing water and crushing a can are all examples of physical changes.

On the other hand, chemical changes are a bit different. In a chemical change, a new substance is formed.

Answer:

Chemical change happens when a substance changes they molecular structure, it often involves change in color (rusting iron), transfer of energy (copper smelting), or gas bubbling.

Changes of state is a physical change. An example is ice, it melts to create water. Water then can be freezed back to ice. Water is still H2O in both states(solid/liquid) Dissovling is another example. You can dissolve salt in water and can separate it by evaporating water and leaving the salt behind.

Explanation:

In the reaction of silver nitrate with copper metal, metallic silver comes out of solution, and the solution turns blue. This as a ________ reactio

Answers

Answer:

Single displacement reaction.

Explanation:

Hello!!

In this case, since the reaction between silver nitrate and copper metal is:

[tex]2AgNO_3(aq)+Cu(s)\rightarrow 2Ag(s)+Cu(NO_3)_2(aq)[/tex]

As silver was forming silver nitrate, due to the presence of copper, which has the capacity to displace silver out of the salt, we notice the formation of solid silver and a resulting copper (II) nitrate which is blue in aqueous solution.

Therefore, this is a single displacement reaction, because the the lonely copper displaced the silver.

Best regards!

A sheet of aluminum measures 55.0 cm by 23.3 cm. If the volume is 2.90 cm^3 what is the thickness of the foil?

Express your answer with the appropriate units.

Answers

Answer:

0.0023 cm

Explanation:

The following data were obtained from the question:

Length (L) = 55 cm

Breadth (B) = 23.3 cm

Volume (V) = 2.9 cm³

Thickness (T) =?

Thus, we can obtain the thickness of the aluminum foil as illustrated below:

V = L × B × T

2.9 = 55 × 23.3 × T

2.9 = 1281.5 × T

Divide both side by 1281.5

T = 2.9/1281.5

T = 0.0023 cm

Therefore, the thickness of the aluminum foil is 0.0023 cm

What volume will be occupied by 33.0 grams of CO2 at 500 torr and 27 °C?

Answers

Answer:

V = 27.98 L

Explanation:

Given data:

Mass of CO₂ = 33.0 g

Pressure = 500 torr

Temperature = 27°C

Volume occupied = ?

Solution:

Number of moles of CO₂:

Number of moles = mass/molar mass

Number of moles = 33.0 g/ 44 g/mol

Number of moles = 0.75 mol

Volume of CO₂:

PV = nRT

R = general gas constant = 0.0821 atm.L/ mol.K  

Now we will convert the temperature.

27+273 = 300 K

Pressure = 500 /760 = 0.66 atm

By putting values,

0.66 atm×V = 0.75 mol × 0.0821 atm.L/ mol.K  × 300 K

V = 18.47 atm.L/0.66 atm

V = 27.98 L

The volume that will be occupied by 33.0 grams of CO2 at 500 torr and 27 °C is 28.11L.

IDEAL GAS LAW:

The volume of an ideal gas can be calculated using the ideal gas law equation as follows:

PV = nRT

Where;

P = pressure (atm)V = volume (L)n = number of moles (mol)R = gas law constant (0.0821 Latm/molK)T = temperature (K)

According to this question;

P = 500torr = 0.657atmV = ?n = 33/44 = 0.75molT = 27°C = 27 + 273 = 300K

0.657 × V = 0.75 × 0.0821 × 300

0.657V = 18.4725

V = 18.4725 ÷ 0.657

V = 28.11L

Therefore, the volume that will be occupied by 33.0 grams of CO2 at 500 torr and 27 °C is 28.11L.

Learn more about ideal gas law at: https://brainly.com/question/4147359

Which diagram shows what can happen when a small force affects the lithosphere without causing a break?
o
O
M

Answers

The answer is answer choice b hope I could help!

How are protons and neutrons different from and similar to each other?

Answers

Answer: similar: Protons and neutrons have approximately the same mass, about 1.67 × 10-24 grams. Different:Protons are a type of subatomic particle with a positive charge. And  Neutrons are a type of subatomic particle with no charge (they're neutral).

Explanation:

hope that helped

Answer:

similarity:Protons and neutrons have about the same mass

Difference protons have a positive charge while neutrons have no charge

Explanation:

How many milliliters of 6.2 M M HCl H C l solution are needed to obtain 0.18 mol m o l of HCl H C l ?

Answers

Answer:

29 mL HCl

General Formulas and Concepts:

Chem

Molarity = moles of solute / liters of solution

Explanation:

Step 1: Define

6.2 M HCl

0.18 mol HCl

x L mol HCl

Step 2: Define conversions

1 L = 1000 mL

Step 3: Find L

6.2 M HCl = 0.18 mol HCl / x L HCl

(x L HCl)(6.2 M HCl) = 0.18 mol HCl

x L HCl = 0.18 mol HCl / 6.2 M HCl

x = 0.029032 L HCl

Step 4: Convert

[tex]0.029032 \ L \ HCl(\frac{1000 \ mL \ HCl}{1 \ L \ HCl} )[/tex] = 29.0323 mL HCl

Step 5: Check

We are given 2 sig figs. Follow sig fig rules.

29.0323 mL HCl ≈ 29 mL HCl

Answer:

29 mL HCl

Explanation:

What would be the mass, in grams, of 1.505 x 1023 molecules of carbon disulfide?

Answers

Answer:

19g

Explanation:

Given:

  Number of molecules  = 1.505 x 10²³molecules

 

 Formula of compound  = CS₂

Unknown:

Mass of the compound

Solution:

 A mole of every substance contains 6.02 x 10²³molecules. Using this we can find the number of moles from number of molecules given;

    6.02 x 10²³molecules makes up 1 mole of a substance

     1.505 x 10²³molecules will contain [tex]\frac{1.505 x 10^{23} }{6.02 x 10^{23} }[/tex]   = 0.25mole of CS₂  

Mass of CS₂  = number of moles x molar mass

 Molar mass of CS₂  = 12 + 2(32) = 76g/mol

 Mass of CS₂  = 0.25 x 76 = 19g

 

             

A chemist prepares a solution of calcium sulfate (CaSO4) by measuring out 0.232 g of calcium sulfate into a 300.mL volumetric flask and filling the flask to the mark with water. Calculate the concentration in mol/L of the chemist's calcium sulfate solution. Be sure your answer has the correct number of significant digits.

Answers

Answer:

5.6667*10^-3mol\L

Explanation:

get the number of moles:

0.0232\(40+32+16+16+16+16)=1.7*10^-3

get the consentration:

1.7*10^-3 \0.3=5.6667*10^-3mol\L

What molecules are needed to make atp

Answers

Answer:

APT is made of a nitrogen base (adenine), a ribose sugar, and three phosphate groups.

Hope this helped! :)

Answer:

The energy released from each molecule of glucose is used to attach a phosphate to each of four molecules of adenosine diphosphate (ADP) to produce two molecules of adenosine triphosphate (ATP) and an additional molecule of NADH.

Explanation:

Other Questions
im in band and i got some missing assignments please help.1st one:Send me 3 Rhythm Patterns which equal 4 beat using Notes and Rests together. No whole notes or whole rests can be used.2nd one:Send me 3 Rhythm Patterns which equal 4 beat using RESTS Only. No notes and no whole rests can be used.3rd one: Send me 3 Rhythm Patterns which equal 4 beat using NOTES Only. No rests and no whole notes can be used The invention of airplanes revolutionized transportation. It also helped scientists study hurricanes more closely. This is can example of ____ influencing _____?. Determine which characters, settings, and objects could appear only in a fantasy story and which could appear in both fantasies and realistic fiction.1. A talking flower:2. George Washington:3. A flying carpet:4. A land made entirely of candy:5. Washington, DC: For every 10 students there needs to be 1 chaperone during the trip to the 5 museum. Which of the following ratios does not represent the student to chaperone ratio. 1:1010 to 1 10:1 10/1Other: Which method can be used to find the range of a set of data? Find the difference between the maximum and minimum values. Find the difference between the upper and lower quartiles. Find the median of the upper half of an ordered data set. Find the sum of the maximum and minimum values. "Once upon a time there were two countries, at war with each other. In order to make peace after many years of conflict, they decided to build a bridge across the ocean. But because they never learned each other's language properly, they could never agree on the details, sothe two halves of the bridge they started to build never met. To this day the bridge extends farinto the ocean from both sides, and simply ends half way, miles in the wrong direction fromthe meeting point. And the two countries are still at war."-Vera NazarianThe story above most closely reminds us of which Mesopotamian legend?A. The Tower of BabelB. The Ten CommandmentsC. Hammurabi's CodeD. The Flood if a cylinder has a volume of 99 cubic centimeters , what is the volume of a cone with the same dimensions HURRY IM ON A TEST PLEASE!!!!!Which of the following were present in the Roman Empire as the decline began? Corrupt leadersWeakened economySocial problemsAll were present in the Roman Empire as the decline began Back to Content4,05 Quiz Archetypes Allusions and SourceRead these excerpis.excerpt from "Araby" by James JoyceThe wild garden behind the house contained a centralapple-tree and a few straggling bushes, under one ofwhich I found the late tenant's rusty bicycle-pump.excerpt from "Genesis 2.9" from the BibleRefer to Explorations in Literature for a completeversion of this story.Which phrase best explains how Joyce's allusion tothe passage from Genesis - particularly hisassociation between the tree in the boy's back gardenand the tree of the knowledge of good and evil in theBible - impacts "Araby"?The LORD God made all kinds of trees grow out ofthe ground-trees that were pleasing to the eye andgood for food. In the middle of the garden were thetree of life and the tree of the knowledge of good andevil.It emphasizes the theme that people mustconfront and overcome problems posedby the natural world.It adds a sense of mystery to the story anda level of uncertainty about the maincharacter's goal.It suggests the idea that the maincharacter learns a hard lesson in the story.It indicates that the story is set in a placewhere loss and death are constantpresences. FOR THE PEOPLE WHO DO RSM:you cant highlight the questions anymore so- if g(x) =x over 2 + 3 find g (4) Desceibe the structure of the phospholipid bilayer The greatest achievement of ________ was the translation of the Old and New Testaments from Hebrew and Greek into Latin. What did the Lewis and Clark expedition achieve? can someone tell me the answer please ? What is one difference between the national libraries df Latin America and the Library ofCongress?A. The Library of Congress has many additional functions,B. The Library of Congress is a repository of national treasures,C. The Library of Congress does not lend any books,D. The Library of Congress is very large and historical (A star if you answer this question) A school bus is traveling at 11.1 m/s and has amomentum of 152,625 kgm/s. What is the mass of the bus? Which of the inequalities matches the graph below?Graph of an inequality with shading above the line passing through points (-6,4) and (0,2)LaTeX: y\ge-3x+2y3x+2y3x+2LaTeX: y\ge-\frac{1}{3}x+2y13x+2y13x+2LaTeX: y\le-3x+2y3x+2y3x+2LaTeX: y\le-\frac{1}{3}x+2 Read each explanation. Then, identify whether it is objective. The hidden springs created dangers for both the man in the story and the real-life prospectors. They contributed to the harshness of the environment and could make survival difficult. This optimism was unrealistic, as it led both the man in the story and the real-life prospectors deeper into the harsh environment, not closer to their goals. These excellent examples show defeat in both the man and the real-life prospectors and demonstrate reasons the man and the prospectors never should have ventured into the Yukon. The largest country in South America is Peru Colombia Brazil Argentina