paradichlorobenzene, a material used in moth balls, is known to go directly tfrom a solid form to a gaseous form. this process is known as

Answers

Answer 1

Answer:

sublimation

Explanation:

The process of a substance going directly from a solid form to a gaseous form is called sublimation. Therefore, in the case of paradichlorobenzene used in mothballs, it undergoes sublimation when it transitions directly from a solid state to a gaseous state without passing through the liquid state.


Related Questions

Answer the questions that follow
1. State the equation used to find the amount of substance (n)

Answers

n=m/mm

Amount of Substance (n) = Mass/Molar mass

The Lewis dot diagram for an unidentified element is shown below. Which element
could X represent?
Olithium
calcium
O argon
sulfur
*
X*

Answers

The lewis dot diagram for the given element *X* is of Calcium element where two unpaired electrons are present.

Since calcium has an atomic number of 20 and argon, a noble gas, has an atomic number of 18, calcium is included in the second column of the periodic table.

Since we are discussing the 2⁺ cation, it has already experienced two electron losses. We can tell because every electron has a charge of 1, therefore losing a charge of 1 is equivalent to acquiring a charge of 1.

Additionally, neutral Ca initially had two electrons because it is on the second column or group. Ca₂⁺ has no valence electrons since 2 -2=0.

Drawing the Lewis structure is therefore not too difficult; all you need to do is write Ca and note that it has a 2+ charge.

So, the given element is Calcium.

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One mole of gas at STP occupies a volume of
a 22.0L
b 20.0L
c 224
d 25.0 L

Answers

Answer: 22.4 L

Explanation:

the constant for one mol of gas at STP is always 22.4 L and this constant is used in equations when converting from L to mol or mol to L

hope this helps :)

In science lab, Ellie combined sugar and distilled water. Ellie made

A. a mixture, which must be separated by chemical processes.

B. a compound, which must be separated by chemical processes.

C. a mixture, which can be separated through physical processes.

D. a compound, which can be separated through physical processes.

Answers

Answer:

C

Explanation:

Copper has average atomic mass of 63.546 amu. It's two isotopes are Cu-63 (which is 69.17% abundant and has a mass of 62.9296 amu) and Cu-65. From this information, calculate the mass of Cu-65.

Answers

Answer: 69.152% → 63^Cu

30.848% → 65^Cu

Explanation:

As you know, the average atomic mass of an element is determined by taking the weighted average of the atomic masses of its naturally occurring isotopes.

Simply put, an element's naturally occurring isotopes will contribute to the average atomic mass of the element proportionally to their abundance.

Explanation:

The oxidation and coordination numbers of cobalt in the compound [Co(NH3)5Cl]Cl2 are, respectively:
oxidation number [ Select ] ["+1", "+2", "+3", "+6"]
coordination number [ Select ] ["6", "8", "5"]

Answers

For a coordination compound of cobalt,\([Co(NH_3)_5Cl]Cl_2\), the oxidation and coordination number of cobalt in this compound are +3 and 6 present in option(1) and option(3) respectively.

The oxidation state or number of an atom is equal to the total number of removed electrons from an element (i.e., positive oxidation state) or added to an element (i.e., negative oxidation state) to reach its present state. Its possible value can be positive, negative, or zero.

Coordination number is defined as the number of legends bounded or attached by central metal. For example, in the compound [Cr(NH₃)₂Cl₂Br₂ ]⁻ , Cr³⁺ is a central atom that has six legends bounded with it so coordination number is 6.

We have a coordination compound of cobalt \([Co(NH_3)_5Cl]Cl_2\)

As we know oxidation state of chlorine,Cl and amonia, NH3 are -1 and 0 respectively. So, \([Co(NH_3)_5Cl]^{2 + } \), using oxidation state formula, oxidation number of cobalt, x

=> x + 5(0) - 1 = 2

=> x = 2 + 1 = 3

so, oxidation state is 3. Also, central metal is Co³⁺ and the number of legends bounded by central metal = 6. Hence, required value is 6.

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can someone help me solve the questions below using the data table below please

DATA TABLE:

Mass of flask and vinegar solution- 25.17g
Mass of flask- 15.12g
Volume of vinegar solution (in mL)- 10.00ml
Initial volume of NaOH (in mL)-0.00ml
Final volume of NaOH (in mL)-39.00ml

CALCULATIONS:
Mass of vinegar solution- 10.0503g
Volume of NaOH used in titration (in mL)-39.00ml

can someone help me solve the questions below using the data table below pleaseDATA TABLE: Mass of flask

Answers

The percent by mass of acetic acid in the vinegar is 2.33%.

Below are the steps to solve the given problem using the data table given below:

Step 1: Calculate the mass of the vinegar. Given,Mass of flask and vinegar solution- 25.17gMass of flask- 15.12gMass of vinegar solution = Mass of flask and vinegar solution - Mass of flask= 25.17 g - 15.12 g= 10.05 g

Step 2: Calculate the moles of NaOH used in the titration.Molarity of NaOH solution is 0.1 M.Moles of NaOH = Molarity × Volume of NaOH usedMoles of NaOH = 0.1 M × 39.00 mL (since the initial volume of NaOH is 0.00 mL)Moles of NaOH = 0.0039 moles

Step 3: Determine the moles of acetic acid used in the reaction.The balanced chemical equation for the reaction between NaOH and acetic acid (the main component of vinegar) is given below:CH3COOH + NaOH → CH3COONa + H2OMoles of NaOH = Moles of CH3COOH (since they react in a 1:1 ratio)Moles of CH3COOH = 0.0039 moles

Step 4: Calculate the mass of acetic acid used in the reaction.Molar mass of acetic acid is 60.05 g/mol.Mass of CH3COOH = Moles of CH3COOH × Molar mass of CH3COOH= 0.0039 moles × 60.05 g/mol= 0.234 gStep 5: Calculate the percent by mass of acetic acid in the vinegar.Percent by mass of acetic acid = (Mass of CH3COOH / Mass of vinegar solution) × 100%= (0.234 g / 10.05 g) × 100%= 2.33%.

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write a 2-page plan on what would you do to secure your database project. be sure to consider the following: potential security risks recommended security protocols

Answers

Some security practices for databases are:-distinct web servers and database serversUse firewalls for web applications and databases.User Access to a Secure DatabaseUpdate Your Operating System And Patches FrequentlyAuditing and tracking database activity

What is security for databases?

Database security refers to all the precautions businesses take to guard against hacks into their database management system (DBMS) and every piece of associated software. This involves implementing policies, practices, and tools designed specifically to safeguard the stored sensitive data. Small businesses that manage and collect huge amounts of data should also have database security standards in place because this problem is not just a problem for big businesses.

The finest database security practices listed below can help keep your databases secure from intruders.

1. Separate Web and Database Servers

In the conventional sense, this entails securing, locking, and providing access controls for your database server to keep away unauthorized visitors. It also entails maintaining the database on a distinct physical system from those used to operate web servers or applications.

2. Use firewalls for web applications and databases.

A firewall should be used to safeguard your database server against threats to database security because it by default blocks traffic. Only traffic from certain applications or web servers that require access to the data should be permitted. The firewall ought to prevent your database from opening outbound connections unless absolutely necessary.

3. User Access to a Secure Database

The database should only be accessible by the fewest individuals feasible. Administrators should only be granted access when they need it and only for as long as they need it to do their duties. Although this may not be feasible for smaller businesses, at the very least permissions should be handled through the use of groups or roles rather than being directly granted.

4. Update Your Operating System And Patches Frequently

To safeguard against the most recent vulnerabilities, it's crucial to routinely upgrade your operating system and database software with all security patches installed. Unless there is a compelling reason for any to be disabled, you should also make sure that any database security controls offered by the database are enabled (most are by default).

5. Auditing and tracking database activity

This entails keeping an eye on logins (and login attempts) to the database and operating system as well as routinely checking logs to look for unusual activity. To inform the appropriate team members when potentially dangerous activity is found, you may also generate alerts.

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i need help balancing the equation and number 4

 i need help balancing the equation and number 4

Answers

Explanation:

I hope this helps answer your questions

 i need help balancing the equation and number 4

_____has particles with the greatest average kinetic energy

a
Ice water
b
Hot water
c
Warm water
d
Room temperature water

Answers

Answer:

c warm water

Explanation:

Kinetic energy is related to temperature. The molecules in a glass of warm water have more kinetic energy (they move faster – see Racing Molecules) than the molecules in a glass of cold water. The temperature of a substance is the average* amount of kinetic energy its molecules have.

Answer:

hot water

Explanation:

how many moles are present in 10.0 grams of sodium hydroxide

Answers

Answer:

0.25

Explanation:

no.of moles =10/40

Aspirin is made commercially by adding acetic anhydride to an aqueous solution of salicylic acid. if 200. g of acetic anhydride is added to 138 g of salicylic acid what is the theoretical yield?

Answers

So, the theoretical yield of aspirin in this reaction is 180.16 grams.To determine the theoretical yield of aspirin, we need to calculate the limiting reactant and use stoichiometry.First, let's find the number of moles for acetic anhydride and salicylic acid:

Molar mass of acetic anhydride (C4H6O3) = 102.09 g/molNumber of moles of acetic anhydride = mass / molar mass = 200 g / 102.09 g/mol = 1.96 molMolar mass of salicylic acid (C7H6O3) = 138.12 g/mol
Number of moles of salicylic acid = mass / molar mass = 138 g / 138.12 g/mol = 1 mol

Next, we need to compare the moles of each reactant to determine the limiting reactant. The reactant with fewer moles will limit the amount of product that can be formed. In this case, salicylic acid is the limiting reactant because it has fewer moles (1 mol) compared to acetic anhydride (1.96 mol).

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a fifth of distilled spirits is equal to about ___ ml.

Answers

It's always important to drink responsibly and avoid drinking and driving. A fifth of distilled spirits is equal to about 750 ml.

Distilled spirits are beverages that have been distilled to increase their alcohol content.

Ethanol, a by product of sugar fermentation, is the primary component of alcoholic beverages.

Distilled spirits are also known as hard liquor or spirits in the beverage industry and include gin, vodka, brandy, tequila, and whiskey.

There are a few facts about distilled spirits:

All distilled spirits are distilled, but not all distilled beverages are distilled spirits.

Distilled spirits include a variety of drinks, including whiskey, brandy, vodka, and gin, among others.

It's always important to drink responsibly and avoid drinking and driving.

Conclusively, a fifth of distilled spirits is equal to about 750 ml.

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the key component of smog is group of answer choices sulfur dioxide. particulate matter. carbon monoxide. ground-level ozone.

Answers

The key component of the smog is ground-level ozone.

The Ground-level ozone that is O₃ is the major component of the smog. This is formed from the photochemical reactions and with the pollutants like as the volatile in the organic compounds, the carbon monoxide and the nitrogen oxides (NOx) and it will emitted from the vehicles, and the industry.

Ozone at the ground level is very harmful air pollutant, this is because of the effects on the people and to the environment, and it is the main source of the smog. The smog is the air pollution is that the reduces visibility.

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A researcher uses several procedures to separate a rock sample into different chemicals. A mass of 50 grams of one chemical is produced. If this chemical cannot be separated into other chemicals, then it is best described as.

Answers

A researcher uses several procedures to separate a rock sample into different chemicals. A mass of 50 grams of one chemical is produced. If this chemical cannot be separated into other chemicals, then it is best described as the element.

The element is pure form of the substance. If this chemical cannot be separated into other chemicals, then it is an element. element is a substance which can not be further broken into simpler substance.

Thus, A researcher uses several procedures to separate a rock sample into different chemicals. A mass of 50 grams of one chemical is produced. If this chemical cannot be separated into other chemicals, then it is best described as the element.

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this question requires a numerical response. do not include units in your answer. report your answer to three decimal places.the battery in a car consumes 1.00 g of pb(s) at the anode to provide the starting current and converts it to pbso4(s). how many minutes will it take to recharge (i.e. convert the pbso4(s) back to pb(s)) if the alternator produces 1.36 a of current? the mw of pb is 207.2 g/mol and the mw of pbso4 is 303.3 g/mol. give your answer in minutes.

Answers

To calculate the time it takes to recharge the battery, we need to use the concept of Faraday's laws of electrolysis.

Faraday's second law states that the amount of substance deposited or liberated at an electrode during electrolysis is directly proportional to the quantity of electricity passed through it.
First, let's find the number of moles of pb(s) consumed during discharge. We can use the molecular weight of pb to convert grams to moles:

1.00 g Pb x (1 mol Pb / 207.2 g Pb) = 0.004825 mol Pb.
Since 1.36 A of current flows through the battery during charging, we can calculate the number of Coulombs (C) of charge passed through the battery per second using the equation: Q = I * t, where Q is the charge in Coulombs and I is the current in Amperes. Thus, Q = (1.36 A) * (1 s) = 1.36 C.
Now, let's find the number of moles of pbso4(s) formed during discharge. Each mole of pb(s) consumes two moles of electrons to convert to pbso4(s). Therefore, the number of moles of pbso4(s) formed is equal to twice the number of moles of pb(s) consumed: 2 * 0.004825 mol Pb = 0.00965 mol PbSO4.
To calculate the time required for recharging, we divide the quantity of electricity passed (1.36 C) by the number of Coulombs required to produce 1 mol of pbso4(s). This can be calculated using Faraday's constant, F = 96485 C/mol. Thus, t = Q / (F * n), where t is the time in seconds, Q is the charge in Coulombs, F is Faraday's constant, and n is the number of moles of pbso4(s) formed.
t = (1.36 C) / (96485 C/mol * 0.00965 mol)

= 0.1456 s.
Finally, we convert the time to minutes by multiplying by 60 seconds per minute:

t = 0.1456 s * (1 min / 60 s)

= 0.00243 minutes.
Therefore, it will take approximately 0.00243 minutes (or about 0.146 seconds) to recharge the battery.

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To calculate the time it will take to recharge the battery, we need to use the concept of Faraday's law of electrolysis.

First, let's find the number of moles of PbSO4(s) that is formed by the consumption of 1.00 g of Pb(s) at the anode. To do this, we divide the mass of Pb(s) by its molar mass:

1.00 g Pb / 207.2 g/mol = 0.00482 mol Pb

Next, we can use the stoichiometry of the reaction to find the number of moles of electrons transferred during the conversion of PbSO4(s) back to Pb(s). The balanced equation shows that 2 moles of electrons are transferred for every 1 mole of PbSO4(s) formed:

0.00482 mol Pb * 2 mol e-/1 mol PbSO4 = 0.00964 mol e-

Now, we can use Faraday's law to calculate the total charge (Q) required to convert PbSO4(s) back to Pb(s):

Q = n * F

where n is the number of moles of electrons transferred and F is Faraday's constant (96485 C/mol).

Q = 0.00964 mol e- * 96485 C/mol = 932.194 C

Finally, we can calculate the time (t) required to recharge the battery using the equation:

t = Q / I

where I is the current produced by the alternator (1.36 A).

t = 932.194 C / 1.36 A = 685.15 s

To convert seconds to minutes, we divide by 60:

685.15 s / 60 s/min = 11.419 min

Rounded to three decimal places, it will take approximately 11.419 minutes to recharge the battery.

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why are glass, quartz and plastics not used as ir sample holders?

Answers

Answer:

not used as sample holders because --> are opaque and absorb ir radiation

Explanation:

glass/quartz would absorb the IR radiation and mask the absorbtion of your sample.

IR sample holders must be made out of transparent materials. The glass, quartz, and plastics are not used as IR sample holders.

What is meant by transparent materials?

Glass may travel entirely through transparent materials without any light bouncing back. Comparatively, translucent materials permit some light to pass through while also reflecting some light off their surface. All light is reflected off the surface of opaque materials.

Glass, Quartz, and plastics are not used as IR sample holders because they are opaque to IR radiation and would absorb in the IR spectrum and mask the absorption of the sample.

IR sample holders must be made out of transparent materials.

Therefore, glass, quartz, and plastics are not used as IR sample holders.

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How are reflecting telescopes different from refracting telescopes?

Answers

Reflecting telescopes are preferred for scientific research because they are better suited for gathering large amounts of light and producing high-quality images. However, refracting telescopes are still popular for amateur astronomers and for viewing objects on Earth.

Reflecting telescopes are different from refracting telescopes because reflecting telescopes use mirrors, whereas refracting telescopes use lenses. The reflecting telescope was invented in 1668 by Sir Isaac Newton, and it has since become one of the most popular types of telescopes.
Reflecting telescopes use a mirror to gather and focus light, while refracting telescopes use a lens to do the same thing. Reflecting telescopes can be made much larger than refracting telescopes because it is easier to make large mirrors than it is to make large lenses. The mirror in a reflecting telescope is placed at the back of the telescope, and it gathers and reflects light back to a secondary mirror, which then reflects the light to the eyepiece. The eyepiece is where the observer looks through the telescope.In contrast, the lens in a refracting telescope is placed at the front of the telescope, and it gathers and bends light as it passes through. The lens focuses the light onto an eyepiece at the back of the telescope. Refracting telescopes are generally smaller than reflecting telescopes because of the difficulty of making large lenses.
Another difference between reflecting and refracting telescopes is the way they are constructed. Reflecting telescopes have a simple tube that houses the mirrors and eyepiece, while refracting telescopes have a more complex design with a long tube that contains the lens and eyepiece.

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1) Which diagram shows an element?
2) which diagram shows a mixture?
3) which diagram shows a compound?
4)which diagram only shows atoms chemically bonded together?
5) which diagram shows different atoms of matter physically combined together?

1) Which diagram shows an element?2) which diagram shows a mixture? 3) which diagram shows a compound?4)which

Answers

Answer:

r

I think 1 option okkkkkkkkkkkkk

Explanation:

mhfs4trfsetc fthcfeencfgeh,cbwjh vbytbnmdtuh3lg dl5flnfwk3t kqre,fvbt,klkkkjh

is C2S6 ionic or covalent

Answers

Answer:

Ionic

Explanation:

I heard this somewhere

One intresting note is that bleach has a lower measured pH than given based on its color. Why is that? (Hint: what is bleach used for)

Answers

It is used for cleaning and other use. Higher pH means stronger base.

What measuring tool would you use to measure the area of a
football field? Taking into account the tool you just chose, to what
decimal place would you record your answer? (make up some
numbers that represent the dimensions of the field and use them to
explain your answer)

Answers

Measuring tool would you use to measure the area of a football field is used a tender wheel

If you need to measure much longer lengths for example the length of a football pitch then you could use a trundle wheel then you use it by pushing the wheel along the ground and it clicks every time it measures one meter and to measure the football field area then

Area = length×breadth

Area = 90m×45m

Area = 4.05m²

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1. What do gram-formula mass and atomic mass have in common? How are they different?

Answers

Because they do not have the same qualities therefore they are different

Two bottles are connected with a valve. In bottle A, there are 2.4 L of nitrogen gas at 1.8 atm. In bottle B, there are 4.8 L of nitrogen gas at 1.8 atm.
After opening the valve, what is the pressure of nitrogen gas?
Please answer in atmospheres.
I will give brainliest please answer quickly!
My

Answers

Answer:

1.8 atm

Explanation:

For bottle "A"

P1 = 1.8 atm V1 = 2.4L, P2 = ?, V2 = 2.4 + 4.8 L = 7.2 L,

Thus using P1•V1 = P2•V2, we have;

P2 = (1.8 × 2.4)/7.2 = 0.6 atm

For bottle "B"

P1 = 1.8 atm, V1 = 4.8L, P2 = ?, V2 = 7.2L,

P2 = (1.8 × 4.8)/7.2 = 1.2 atm

We will now add the individual pressures of each bottle;

Total pressure = P(A) + P(B)

Total pressure = 0.6 + 1.2

Total pressure = 1.8 atm.

How many grams of oxygen is present in 36g of water?

Answers

Answer:

32 gm O

Explanation:

there are 16 gm of O in each 18 gm of water ....the other two grams are H

so there would be 32 gm of oxygen in 36 gm water

4. Which of the following nuclear equations has an incorrect characterization?
a) Bi+a → At+2n; fission
b) H+H → He +n; fusion
c) N+aO+p; bombardment
d) 234Th → +Pa; decay

4. Which of the following nuclear equations has an incorrect characterization?a) Bi+a At+2n; fissionb)

Answers

Nuclear equation which has incorrect characterization is \(\rm ^{209}_{83}Bi +\rm ^{4}_{2} \alpha \--- > \rm ^{211}_{85}At + 2 \rm ^{1}_{0}n; fission\).

Fission is the process in which the nucleus of the atom splits into two more daughter nuclei. It was discovered by a German chemist named, Otto Hahn in 1938.

Spontaneous fission was discovered by Flyorov in 1940.

Energy is released during nuclear fission. As the heavy nuclei, breaks down into the lighter species. In a typical nuclear fission reaction, more than one neutron is released by each dividing nucleus.

The transformation which is occurring in the given reaction is not the fission hence this is the incorrect characterization.

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How do I add up all the energy to get the total energy emitted?

How do I add up all the energy to get the total energy emitted?

Answers

Answer:

To calculate the amount of heat released in a chemical reaction, use the equation Q = mc ΔT, where Q is the heat energy transferred (in joules), m is the mass of the liquid being heated (in kilograms), c is the specific heat capacity of the liquid (joule per kilogram degrees Celsius).

Explanation:

Which particles affect the mass number?
Select one:
a. protons, electrons
b. protons, neutrons
c. electrons, neutrons
d. protons only

Answers

b, protons and neutrons

: Define Vapor Pressure Group of answer choices The pressure exerted on the container of a gas and liquid The pressure exerted by a gas in a closed container The pressure exerted by a liquid in a closed container The pressure exerted by a gas over a liquid once the system has reached equilibrium.

Answers

Vapor pressure refers to the pressure exerted by a gas over a liquid once the system has reached equilibrium. Specifically, it is the pressure exerted by the vapor phase of a substance in a closed container when the rate of evaporation equals the rate of condensation. At equilibrium, the vapor pressure represents the tendency of the liquid molecules to escape into the gas phase.

The vapor pressure is influenced by factors such as temperature and the nature of the liquid. As temperature increases, the kinetic energy of the liquid molecules increases, leading to more evaporation and higher vapor pressure. Different liquids have different vapor pressures at the same temperature due to variations in intermolecular forces.

Vapor pressure plays a crucial role in various phenomena, including boiling, evaporation, and the behavior of volatile substances. It is an important property used in fields such as chemistry, thermodynamics, and material science.

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Imagine a campfire on a cold day. At first, the temperature of each log is as cold as the air around it. A few hours after the fire has burned out, the temperature of the ashes will also be cold. But in between, when the fire is burning, the temperature of the logs and surrounding air is very hot. What is the source of this thermal energy? For the answer, begin by identifying the reactants and products for the overall chemical reaction of burning wood. Wood is mostly carbohydrates, the bulk of which is cellulose. Cellulose is made up of hundreds to thousands of glucose groups connectected by oxygen molecules. The chemical formula for cellulose is (C6H12O6)n, where n is the number of glucose groups. For more manageable models, carbohydrates will be modelled as glucose with a chemical formula of C6H12O6.

Answers

Answer:

See explanation

Explanation:

From the statement of the first law of thermodynamics, energy is neither created nor destroyed, but is transformed from one form to another.

Thermal energy is possessed by the hot air while the fire is burning. This  thermal energy was obtained from the chemical energy stored in carbohydrates(cellulose) that is present in wood material. As the combustion proceeds, chemical energy stored in chemical bonds of the wood material converts into thermal energy (heat energy). The chemical reaction involved in the combustion of wood can be simplified as shown below; n represents the number of glucose units that combine to make up the cellulose present in the wood material.

nC6H12O6(s) + 6nO2(g) ===> 6nCO2(g) + 6nH2O(g)

n may even be as much as thousands of glucose units.

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At the initial allocation, Ann will give up 5 C for 1 F (MRS for Ann is 5, with F on the horizontal axis and C on the vertical axis) while Bill is willing to give up 2 C for 1F (MRS for Bill is 2). (a)Explain why the initial allocation is NOT Pareto efficient. (2 marks) (b)If they are to trade F and C with each other, who would be selling / buying what to ensure such a trade would be Pareto superior (i.e. one of them can be made better off without making the other worse off)? Explain your answer. (2 marks) (c)After the trade you mentioned in part b), how would the MRS of Ann and Bill change? Explain your answer. (2 marks) (d) In a competitive equilibrium, in what range will the relative price fall within? Explain your answer. (2 marks) 4. Briefly describe the two types of unemployment that Mankiw discusses and the causes of each. Helmets can prevent a serious injuries. Not all teen use them, however. Find out how many sports related injuries occurs among teens each year. Write an article for the school or community newspaper encouraging teens to use protective gear how do i calculate an enlargement if 3 oranges cost 2 kobo. what is the cost of 54 oranges Connecting intercepts and zeros lesson 20-1 answer key In this problem, we'll discover why we always see quadratic functions for equations of motion. Near the surface of the earth, the acceleration due to gravity is almost constant - about 32 ft/sec^2. Velocity is an antiderivative of acceleartion. Determine the "general antiderivative" of the acceleartion function a(t) = 32. v(t) = [The variable is t, not x, and don't forget +C!] Now consider a chem student who shows up to chem lab without proper footwear. The chem prof, in a fit of rage, throws the student (or just their shoes) out of the lab window. Let's assume the prof threw the shoes straight up with a velocity of 20 ft/sec, meaning v(0) = 20. Find the exact formula for the velocity v(t) of the shoes at second t after they were thrown. [Hint: what do you need +C to be?] v(t) = For the velocity function you just found, write its general antiderivative here. s(t) = = The window where the shoes were thrown from is about 30 feet above the ground. Find the equation s(t) that describes the position (height) of the shoes. s(t) = A restaurant charges $8 per burger basket ordered. The charles family orders at least 3 burger baskets but no more than 7 burger baskets a week. If x, represents the number of burger baskets ordered the total cost can be represented by f(x) = 8.50x. What is the domain of the function for this situation?A- 8,32,40,48,56B- 3,4,5,6,7,C- 3D- 8 A baby gains 11 pounds in its first year of life. The baby gained 45 pounds during the first four months and 3 pounds in4its second four months. How much did the baby gain in the last four months?o 3 apopoundsO132 poundsO O4 poundsO 5 pounds In the sentence Gavin is the new president of operations, the sentence pattern is subject-verb subject-action verb-object subject-linking verb-complement inverted In the sentence My supervisor and I recently interviewed four outstanding candidates for the accounting position, the word supervisor functions as a(n) noun adverb adjective pronoun The average annual per capita consumption of fuel, in gallons, for a forty-year period is shown.Year0 5 10 15 20 25 30 35 40Fuel Consumed (gallons) 654 711 712 675 619 563 527 527 584What polynomial models these data?G(a) = 1.50x2 + 18.31x + 654.01O G(x) = 0.025x3 - 1.50x? + 18.31x + 654.01G(x) = 0.02523 + 654.01O G(x) = 0.0252 + 18.31x + 654.01 what is difference between heridity and scenescence The area of a rectangle can be expressed by 2x^2 - 7x - 4 If the rectangle has an area of 45, find the positive value for x