What mass of sulphuric acid can be made from 8g of SO3
(SO3+H2O==>H2S04)

09.8g
18.2g

Answers

Answer 1

Answer:

10 g H₂SO₄

General Formulas and Concepts:

Chemistry - Stoichiometry

Reading a Periodic TableUsing Dimensional Analysis

Explanation:

Step 1: Define

Given:   8 g SO₃

RxN:   SO₃ + H₂O → H₂SO₄

Step 2: Identify Conversions

Molar Mass of S - 32.07 g/mol

Molar Mass of O - 16.00 g/mol

Molar Mass of H - 1.01 g/mol

Molar Mass of SO₃ - 32.07 + 3(16.00) = 80.07 g/mol

Molar mass of H₂SO₄ - 2(1.01) + 32.07 + 4(16.00) = 98.09 g/mol

Step 3: Stoichiometry

\(8 \ g \ SO_3(\frac{1 \ mol \ SO_3}{80.07 \ g \ SO_3} )(\frac{1 \ mol \ H_2SO_4}{1 \ mol \ SO_3} )(\frac{98.09 \ g \ H_2SO_4}{1 \ mol \ H_2SO_4} )\) = 9.80042 g H₂SO₄

Step 4: Check

We are given 1 sig fig. Follow sig fig rules and round.

9.80042 g H₂SO₄ ≈ 10 g H₂SO₄


Related Questions

where does energy come from? newsela

Answers

Answer:

All of our energy comes from the sun.

Explanation:

The sun sends out huge amounts of energy through its rays every day. Without the sun, life on earth would not exist, since our planet would be totally frozen.

suppose you place 3.55 ml of a substance into a graduated cylinder. the graduated cylinder has a mass of 12.55 g when empty and a mass of 15.08 g after adding the substance.

Answers

The mass of the substance is calculated by subtracting the empty graduated cylinder's mass from the mass of the cylinder with the substance: 15.08 g - 12.55 g = 2.53 g.

We subtract the empty graduated cylinder's mass from the substance's mass to find its mass. The empty cylinder weighs 12.55 g, whereas the filled one weighs 15.08 g. 2.53 g separates them.

The graded cylinder's substance added 2.53 g. This calculation assumes the graduated cylinder does not affect measured mass.

The substance's mass (2.53 g) is calculated by subtracting the initial (12.55 g) from the final (15.08 g). This method uses the mass difference before and after adding a substance to a container to measure its mass.

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Categorize each statement as true or false. 1. Buffers are effective at resisting pH changes when large amounts of acid or base are added to a solution :
2. Chemical buffers are important to industrial production and to living systems. 3. Chemical buffers have specific ranges and capacities. The buffer capacity is the pH range that is maintained when acids and bases are added to a

Answers

1 True

2 True

3 True

True. Buffers are solutions that resist changes in pH when small amounts of an acid or base are added to them. However, they are also effective at resisting pH changes when large amounts of an acid or base are added to the solution. Buffers work by using a weak acid and its conjugate base or a weak base and its conjugate acid to neutralize the added acid or base and maintain a relatively constant pH.

True. Chemical buffers play an important role in both industrial production and living systems. In industrial settings, buffers are used in the production of medicines, food and beverages, and other products. In living systems, buffers help maintain the proper pH levels for biological processes to occur. For example, blood contains buffers that regulate the pH and ensure that enzymes and other biological molecules work properly.

True. Chemical buffers have specific ranges and capacities. The buffer capacity is the amount of acid or base that can be added to the solution before the pH changes significantly. A buffer's pH range is the range of pH values over which it can effectively resist changes in pH. The buffer capacity and pH range depend on the concentration of the buffer components and the dissociation constants of the weak acid and weak base used to make the buffer. Buffers with higher concentrations of buffer components and weaker acids or bases have a higher buffer capacity and broader pH range.

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How many moles of Ba(NO3)2 are there in 0.25 L of a 2.00 M Ba(NO3)2 solution?
Use Molarity equals StartFraction moles of solute over liters of solution EndFraction..
0.13 mol
0.50 mol
2.25 mol
8.0 mol

Answers

Answer:

0.5moles

Explanation:

Given parameters:

Volume of solution= 0.25L

Molarity of solution = 2.00M

Unknown:

Number of moles  = ?

Solution:

To solve this problem;

  Molarity is the number of moles of solute in a given volume of solution, so

 Number of moles  = molarity x volume

 Now insert the parameters and solve;

  Number of moles  = 0.25 x 2  = 0.5moles

Answer:

b

Explanation:

got it right on test

For each of the following pairs, tell which solution contains the larger total concentration of ions.
a.0.10 M HCl and 0.05 M HCl
b.0.10 M HCl and 0.10 M HF
c.0.10 M HCl and 0.10 M CaCl2

Answers

Therefore, pH equals 1, and the solution is 1.

How to Calculate the pH of a 0.10 M solution of HCl?An evaluation of a substance's or solution's acidity or basicity. On a scale from 0 to 14, pH is calculated. A pH value of 7 is neutral on this scale, i.e., neither acidic nor basic. More basic substances have a pH value more than 7, whereas more acidic substances have a pH value less than 7."Potential of Hydrogen" is what pH stands for in its entire form. The negative logarithm of the H+ ion concentration is known as pH.

pH = - log (conc. of H+ ions) because we know that (.10)

pH = - log(1/10)

pH = -(0-1) (0-1)

pH = -(-1) (-1)

hence, pH of.10 M HCL and pH=1.

Answer is one.

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A solution of pH 7 has
Group of answer choices

the same concentration of H+ and OH‑

more OH- than H+

no H+ and no OH-

more H+ than OH-

Answers

Answer: same concentration

Explanation:

H+ makes it more acidic, OH- makes is more basic. 7 is neutral so it has the same amount of both.

4 × 10-5 cm in scientific notation

Answers

Answer:

400000

Explanation:

First, figure out what 10^5 is. It is 100000. Then multiply it by 4 and there is your answer!

Also if it is 4x10^-5, it is 0.00004!

Oh yeah! If you want it to be in scientific notation, it is: 4x10^5

Since that I didn't quite understand what you are trying to question, it is either 4x10^5 or 4x10^-5!

Question 7 of 14
How much energy is released if a sample loses 0.001 kg mass through
radioactive decay?
OA. 3× 102 J
B. 9 × 10¹3 J
O C. 3 × 105 J
OD. 9×1019 J

Answers

Answer:

as we know that E= mc²

E= .oo1×(3×10⁸)²

E= .001×9×10¹⁶

we can right .001 =1×10‐³

E=1×10-³×9×10¹⁶

E=9×10¹³

ans is B 9×10¹³

9×10¹³J is the energy that is released if a sample loses 0.001 kg mass through radioactive decay. Therefore, the correct option is option B.

What is energy?

Energy, which is observable in the execution of labor as well as in the form of light and heat, is the quantitative quality that's also transferred to something like a body or to any physical system in physics. Energy can be transformed in form but cannot be created or destroyed, according to the rule of conservation of energy. The joule is the SI's (International System of Units) unit of measurement of energy (J).

A moving object's kinetic energy, an object's potential energy, an object's elastic energy, chemical energy linked to chemical reactions, electromagnetic radiation's radiant energy, and the internal energy of a thermodynamic system are examples of common kinds of energy.

E= mc²

E=0 .001×(3×10⁸)²

E=0.001×9×10¹⁶

E=9×10¹³J

Therefore, the correct option is option B.

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Approximately how many formula units of NaCl are in 116.88g of table salt (NaCl), knowing that the molar mass of NaCl is 58.44g/mol?

Answers

Answer:

116.88g of table salt (NaCl) contains two formula units

Explanation:

Now,

We know that 1 formula unit of sodium chloride has a molar mass of 58.44g/mol

Hence;

Mass of 1 formula unit = 58.44g

Mass of x formula units = 116.88g

x = 116.88g * 1 formula unit/58.44g

x = 2 formula units

Therefore;

116.88g of table salt (NaCl) contains two formula units

Answer:

There are  1.2044 × 10²⁴ formula units of NaCl in 116.88 g of table salt (NaCl)

Explanation:

A formula unit is an empirical formula of the smallest collection or number of atoms in an ionic or covalent combination from which a compounds formula can be established and which are used to represent the compound stoichiometrically

Sodium chloride is an ionic compound and is represented by the formula unit NaCl as it composed of ions and is not therefoe represented by a molecular formula

The given mass of the table salt, NaCl = 116.88 g

The molar mass of NaCl = 58.44 g/mol = The mass of 1 mole of NaCl

1 mole of NaCl contains one Avogadro's number or 6.022 × 10²³ formula units of NaCl,

∴ 58.44 g of NaCl contains 6.022 × 10²³ formula units of NaCl

116.88 g of NaCl will have (116.88/58.44) × 6.022 × 10²³ = 1.2044 × 10²⁴ formula units of NaCl

The number of formula units of NaCl in 116.88 g of table salt (NaCl) =  1.2044 × 10²⁴ formula units of NaCl.

What is the process that keeps heat from being transferred between two substances is

Answers

Answer:

Conduction, Convection, and Radiation .......

A 75.0-liter canister contains 15.82 moles of argon at a pressure of 546.8 kilopascals. what is the temperature of the canister? the temperature of the canister is k.

Answers

The temperature of the canister is 311.82(OR 312)K

Given:

volume of canister = 75.0-liter

moles of argon = 15.82 moles

pressure = 546.8 kilopascals

To Find:

temperature of the canister

Solution: Pressure of argon = 546.8 kPa

Conversion factor: 1 atm = 101.325 kPa

According to Ideal gas law,

PV = nRT

where P is the pressure, V is the volume, n is the number of moles, R is the universal gas constant, and T is the temperature

T = PV/nR = (5.4 atm x 75.0 L) / (15.82 x 0.0821 L.atm.mol-¹K-¹)

T = 311.82 K

Hence the temperature of the canister is 311.82 K.

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why does turmeric stain on white shirt is turned to red when it is washed with soap?​

Answers

This happens because the soap solution is basic in nature which changes the colour of turmeric in the curry stain to red. Turmeric is a natural indicator.

Urgent!!!

Type the correct answer in the box. Express your answer to three significant figures.


The half-life of carbon-14 is 5,730 years. Dating organic material by looking for C-14 can’t be accurately done after 50,000 years.


Suppose a fossilized tree branch originally contained 4.30 grams of C-14. How much C-14 would be left after 50,000 years?


Use the formula N = N0(1/2)^t/T .


A tree branch that originally had 4.3 grams of carbon-14 will have _____ grams after 50,000 years.

Answers

Answer:

0.0102 g

Explanation:

A common formula for determining the amount of sample remaining in terms of its half-life is

where

t = 50 000 yr

Calculate n

n = 50 000/5730

n = 8.726

===============

N₀ = 4.30 g Calculate N

N = 4.30 × 2.36 × 10⁻³

N₀ = 0.0102 g

Explanation:

CORRECT THIS ANSWER

MARK A BRAIN LESS ANSWER

CARRY ON LEARNING

Directions: Fill in the blanks to complete the idea. 1. Constellations are group of that form pattems in the night sky 2. Ursa Major, Cassiopeia, and Orion are some common 3. Stars are used to tell and time, predict weather, and to serve as birth sign

PASAGOT PO NG MAAYOS
KAILANGAN LANG PO
BRAINLIEST+FOLLOW+HEART+POINT
BAD ANSWER-REPORT

Directions: Fill in the blanks to complete the idea. 1. Constellations are group of that form pattems

Answers

1. Constellations are group of stars that form pattems in the night sky

2. Ursa Major, Cassiopeia, and Orion are some common constellations.

3. Stars are used to tell directions and time, predict weather, and to serve as birth sign.

What makes up nearly all of the atom's mass?
OA. The sum of all neutrons and electrons
OB. The sum of all protons and electrons
OC. The sum of all isotopes
OD. The sum of all protons and neutrons
SUBMIT

What makes up nearly all of the atom's mass?OA. The sum of all neutrons and electronsOB. The sum of all

Answers

The total of all protons and neutrons is Option D, which is the right response. Protons, neutrons, and electrons are the three fundamental particles that make up an atom.

The nucleus of an atom is made up of protons and neutrons, which are collectively referred to as nucleons and are primarily responsible for an atom's mass. Neutrons weigh 1.6749 x 10-27 kg, whereas protons weigh 1.6726 x 10-27 kg.

Protons and neutrons make up the majority of an atom's mass when added together. However, electrons contribute very little to the mass of the atom due to their much smaller mass of 9.11 x 10-31 kg. As a result, Option D is the right response.

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Could someone help me answer these questions with the answer and typed steps for how each answer was found? I asked this question previously but, I could not read the handwritten answer.

7. A 25 g soil sample was extracted with 75 mL of NH4OAc (pH 7.0), and the filtrate was analyzed
on an atomic absorption unit. The following results were obtained:

100 mg/L Ca2+, 45 mg/L Mg2+, 85.5 mg/L K+, 94.2 mg/L Al3+ and 8.0 mg/L H+.


a. What is the CEC in cmol(+)/kg for this sample?
b. What is the % B.S. for this soil?
c. What is the % acid saturation for this soil sample?

Answers

The CEC for this soil sample is 675.2 cmol(+)/kg.

The % Base Saturation for this soil sample is approximately 136.62%.

The % Acid Saturation for this soil sample is approximately 60.55%.

To    calculate the CEC, % Base Saturation (B.S.), and % Acid Saturation for the given soil sample:

a. Calculation of CEC (Cation Exchange Capacity):

CEC is the sum of exchangeable cations in the soil. From the given results, we have:

CEC = Ca2+ + Mg2+ + K+ + Al3+

CEC = (100 mg/L + 45 mg/L + 85.5 mg/L + 94.2 mg/L) / (25 g / 1000)

CEC = 168.7 mg / (25 g / 1000)

CEC = 675.2 cmol(+)/kg

b. Calculation of % Base Saturation (B.S.):

% B.S. represents the percentage of CEC occupied by base cations. In this case, we consider Ca2+, Mg2+, and K+ as base cations. The formula to calculate % B.S. is:

% B.S. = (Ca2+ + Mg2+ + K+) / CEC * 100

% B.S. = (100 mg/L + 45 mg/L + 85.5 mg/L) / (168.7 cmol(+)/kg) * 100

% B.S. = 230.5 mg / (168.7 cmol(+)/kg) * 100

% B.S. = 136.62%

c. Calculation of % Acid Saturation:

% Acid Saturation represents the percentage of CEC occupied by acid cations, in this case, H+ and Al3+. The formula to calculate % Acid Saturation is:

% Acid Saturation = (H+ + Al3+) / CEC * 100

% Acid Saturation = (8.0 mg/L + 94.2 mg/L) / (168.7 cmol(+)/kg) * 100

% Acid Saturation = 102.2 mg / (168.7 cmol(+)/kg) * 100

% Acid Saturation = 60.55%

Please note that the given values were in milligrams per liter (mg/L), and the CEC and % Saturation values were calculated assuming a conversion from mg/L to cmol(+)/kg using the mass of the soil sample (25 g).

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3. Which can be decomposed by chemical change?
1) sodium
02) water
3) iron
O4) germanium

Answers

iron i think because iron

which landmark, which took nearly 200 years to build, was used by galileo to test his theory that the speed of descent was independent of an object’s mass?

Answers

The landmark in question is the Leaning Tower of Pisa, which took almost 200 years to complete.

Galileo used this tower to conduct his famous experiment, where he dropped two objects of different masses from the top of the tower to prove that the speed of descent was independent of an object's mass. At the time when Viviani asserts that the experiment took place, Galileo had not yet formulated the final version of his law of falling bodies. He had, however, formulated an earlier version which predicted that bodies of the same material falling through the same medium would fall at the same speed. This was contrary to what Aristotle had taught: that heavy objects fall faster than the lighter ones, and in direct proportion to their weight.

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Q1) You isolate evolutionarily very similar sucrases from E. coli and from a thermophilic microorganism. They catalyze the same reaction. You compare the rates of sucrose hydrolysis at 37C. Which one of the following will be TRUE for BOTH enzymes? The final extent of glucose + fructose formation will be lesser for the E. coli enzyme (final extent = ratio of products/reactants). The final extent of glucose + fructose formation will be greater for the E. coli enzyme (final extent = ratio of products/reactants). The −ΔG ∘ for catalysis will be greater for the E. coli enzyme The −ΔG ∘ for catalysis will be the same for both enzymes

Answers

The right response is d. Both enzymes will have the same ΔG for catalysis.

The reaction rate and equilibrium constant have an impact on the Gibbs free energy (ΔG). No matter the source of the enzyme, such as E. coli or a thermophilic microbe, the ΔG for a reaction is the same. As a result, both enzymes will have the same ΔG for sucrose hydrolysis.

The ΔG may be written mathematically as:

ΔG = -RT ln (K)

T is the temperature, K is the equilibrium constant, and R is the gas constant..

As both enzymes have the same reaction rate (K) and temperature (T), the reaction's ΔG  value will likewise be the same.

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Which of the following is a chemical change?
A. Water freezing to form ice
B. Sugar dissolves in water
C. Gasoline burns in a car engine
D. A piece of metal expands when it is heated

Answers

Answer:

C. would be the correct option.

Explanation:

Burning gasoline is a chemical change because when gasoline is ignited, water and carbon dioxide are produced. Water freezing to form ice would be a physical change since its state of matter has changed, but not the water itself. Sugar dissolving in water is also a physical change because all it's really doing is just forming bubbles and changing the color. Choice D. would also be a physical change since the piece of metal is still a piece of metal, it just expanded when the temperature increased.

Which of the elements shown has an atomic mass of 20 amu?

A) A
B) B
C) C
D) D

Which of the elements shown has an atomic mass of 20 amu?A) AB) BC) CD) D

Answers

The elements shown have an atomic mass of 20 amu is Neon.

What is atomic mass?

The atomic number of an atom is its total number of protons and neutrons.

Neon has an atomic mass of about 20 this isotope contains 10 protons and 10 neutrons.

Actually, Neon would be listed as having an atomic mass of about 20.18 because of a mixture of isotopes.

Z= Atomic number the number of protons in the nucleus which defines the element.

In this case,  Z=10 and this means neon but there are also 10 neurons in the nucleus of the major isotope which gives it 20Ne.

Hence, option D is the correct answer.

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What maximizes (increase) entropy during dissolution of the proteins?

Answers

During dissolution of proteins, the factors that maximize (increase) entropy include an increase in temperature, an increase in the number of molecules in solution, and a decrease in the amount of order in the protein structure.

Additionally, the presence of chaotropic agents, such as urea or guanidinium chloride, can also increase entropy by disrupting the protein's hydrogen bonds and hydrophobic interactions.

Ultimately, maximizing entropy during protein dissolution helps to facilitate the process of protein unfolding and can aid in the purification or analysis of the protein.

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A 10.0-g sample of krypton has a temperature of 25 °C at 563 mmHg. What is the volume, in milliliters, of the krypton gas?
Express your answer to three significant figures and include the appropriate units.

Answers

The volume, in milliliters, of the krypton gas is 523ml.

The Ideal gas law is the equation of state of a hypothetical ideal gas. It is a good approximation to the behaviour of many gases under many conditions, although it has several limitations. The ideal gas equation can be written as

                                    PV = nRT

where,

P = Pressure

V = Volume

T = Temperature

n = number of moles

Given,

Mass = 10g

Pressure = 563 mm Hg

Temperature = 298 K

moles of Kr =mass / atomic mass

= 10 / 84

= 0.119 moles

PV = nRT

563 × V = 0.119 × 8.314 × 298

V = 0.523L = 523ml

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what water has 97% of water

Answers

Answer:

ocean

Explanation:

because its easy

The answer would be Ocean

All of the light reaching Earth from celestial objects is moving towards the red

Answers

Celestial objects' light is redshifted.

The redshift of light is caused by the Doppler effect, which occurs when an object is moving away from an observer. As celestial objects move away from Earth, their emitted light waves become stretched, which makes them appear redder. This is known as redshift.

The amount of redshift can be used to determine how fast an object is moving away from us and how far away it is. Redshift is a crucial tool in studying the universe, as it allows astronomers to measure distances to very distant objects and study the expansion of the universe. The observed redshift is consistent with the hypothesis that the universe is expanding.

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In what state of matter do the particles spread apart and fill all the space availble to them?

a)energy
b)liquid
c)solid
d)gas

Answers

D) Gas
Because it is a state of matter consist of particles that have a defined volume or shape.

What determines how high-pitched or low-pitched sounds are? (Select all that apply.) Pitch is determined by the volume of the sound. Pitch is determined by the wavelength of the sound wave. Pitch is determined by the direction of the sound. Pitch is determined by the distance between points of compression.

Answers

Answer:

frequency

Explanation:

Sounds are higher or lower in pitch according to the frequency of vibration of the sound waves producing them. A high frequency (e.g., 880 hertz [Hz; cycles per second]) is perceived as a high pitch and a low frequency (e.g., 55 Hz) as a low pitch.

how does chain length affect the properties of crude oil fractions?

Answers

Explanation:

As the hydrocarbon chain length increases, viscosity increases. As the hydrocarbon chain length increases, flammability decreases. hydrogen in the fuels are oxidised, releasing carbon dioxide, water and energy. The boiling point of the chain depends on its length.

Hopefully this helps! :)

Explanation:

As the hydrocarbon chain length increases, viscosity increases. As the hydrocarbon chain length increases, flammability decreases. hydrogen in the fuels are oxidised, releasing carbon dioxide, water and energy. The boiling point of the chain depends on its length.

How can you use a chemical reaction to produce a gas?

Answers

The reactions with baking powder and lemon juice is an illustration of either a nuclear reaction that results in a gas (citric acid).

What exactly do you meant by a chemical reaction?

A reaction mechanism is the transformation of one or more chemicals, known as reactants, into one or more new compounds, known as products. Chemical components or compounds make up substances. Synthesis (anabolic), breakdown (catabolic), and exchange are the three primary types of chemical processes that are significant to human physiology.

Briefing:

Baking soda and vinegar or lemon juice react swiftly to generate bubbles when combined. CO₂(g) (carbon dioxide gas) is what creates the bubbles.

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The density of aluminum is 2.70 g/mL. The volume of a solid piece of aluminum is 1.50 ml. What is its mass?

Answers

Answer:

4.05g

Explanation:

density = mass / volume

mass = density x volume

mass = 2.7 x 1.5

mass = 4.05

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Casey is an expert poker player and can make $35 an hour playing poker online.On Saturday Casey goes to a local tournament with a $15 entry fee. He plays for four hours and wins first place, taking home the $150 prize. Did Casey make an economic profit at the tournament? Show all your work Jonathan walked 5 miles in 4 hours. What was his walking rate in miles per hour? Part AGiven the information in this excerpt, what is the most likely relationship between themain plot of this play and the subplots?OA. Both concern conformity and the power society exercises over individuals.OB.0 .C.Both concern marriage and the interplay of people's true natures with theiroutward appearances and roles.Both concern self-expression and the strength it requires for an individual torebel against society.D. Both concern deception and the necessity for all people to be honest ifsociety is to survive. A ray of light is incident on a right angled prism of refractive index 1,5 , calculate the angle of refraction of the ray within the prism what moral judgment does nick make about tom and daisy in chapter nine What is the distance between -9 and 6 on the number line? Explain how you got your answer. predict the sign of delta S sys for each of the following processes.a) gasoline vapors mix with air in a car engineb) hot air expandsc) humidity condenses in cold air In the circular flow model, households sell resources to, and buy products from _______. orange seasons is comparing two mutually exclusive projects a and b. the crossover point is 9% percent. orange seasons has determined that they should accept project b if the required return is 11 percent. this implies you should: Ms. Bruno is playing a trivia game with her science class in preparation for their upcoming exam. She puts the students into small groups and gives each group a bell to ring. She prepares a series of questions. The first group to ring their bell and answer each question correctly gets a point. The group with the most points at the end of the class receives a prize. There are some advanced level ELLs in her class, and she notices that the groups with the ELLs don't have nearly as many points as the groups composed of their native English-speaking peers. What is most likely to be causing this?A. The ELLs can't understand the questions without extensive linguistic supportB. The ELLs have limited knowledge of the content.C. The ELLs don't work well with their native English-speaking peers.D. The ELLs require more time to process information Select the choice which displays proper use of a colon.A) When he hit a home run: the fans cheered.B) It was late in the afternoon: another day had come and gone.C) Here is what we brought: bacon, salad, ice cream, and cheese.D) Christopher: a man after my own heart: wouldn't reveal the secret. A key relationship in the transformation from rectangular coordinates to spherical coordinates is:_________ Last-Minute Shopper #1 paid $102 for 3 gizmos and6 thingamajigs. Last-Minute Shopper #2 paid $179for 5 gizmos and 11 thingamajigs. Assume they bothshopped at the same store and bought the samebrands and model numbers, and then answer thequestions below.a) How much did each gizmo cost?b) How much did each thingamajig cost? Two-period model using math - with a borrowing constraint Consider the following two-period model with log utility functions: Max C 1,C 2ln(C 1)+ln(C 2)s.t. C 1+ 1+rC 2=Y 1+ 1+rY 2Suppose that this household faces a borrowing constraint in period 1 . Because they cannot borrow in period 1 , it must be the case that S0, or in other words C 1Y 1. 1. Suppose Y 1=100,Y 2=100,r=0.05, and =0.95. Determine the optimal values of C 1and C 2. (Hint: First solve the problem ignoring the borrowing constraint. Then compare C 1and Y 1, and think about how the borrowing constraint would affect C 1and C 2.) 2. Now, suppose that r rises to r=0.1, while we still have Y 1=100,Y 2=100,=0.95. Determine the new optimal values of C 1and C 2. 3. No suppose we no longer have a borrowing constraint, i.e. C 1can be larger than Y 1. How does the solution change your solutions for (1) and (2). Explain your answer in words.