How many atoms or molecules are in 5.0 moles of the following?

a. O
b. N
c.MgCl₂
d. C₂H₃NO

Answers

Answer 1

Answer:

They all have the same number of molecules or atoms which is 3.011*10²⁴ molecules or atoms.

5 moles of O = 3.011*10²⁴ molecules or atoms

5 moles of N = 3.011*10²⁴ molecules or atoms

5 moles of MgCl2 = 3.011*10²⁴ molecules or atoms

5 moles of C2H3NO = 3.011*10²⁴ molecules or atoms.

Explanation:

a)

5 moles of O = ?

1 mole of any substance is equal to Avogadro's number which is equal to 6.022×10²³molecules or atoms

From the question above,

5 moles of O = 5 × 6.022*10²³ = 3.011×10²⁴atoms or molecules.

b)

5 moles of N

From the same principle or fundamentally stated fact above,

1 mole of any substance = 6.022*10²³molecules or atom

5 moles of N = 5 × 6.024

2*10²³ = 3.011*10²⁴atoms or molecules.

c)

5 moles of MgCl₂

Same principle we used in a and b,

1 mole of any substance = 6.022*10²³ atoms or molecules

5 moles of MgCl2 = 5.0×6.022*10²³ = 3.011*10²⁴ atoms or molecules.

d)

5 moles of C₂H₃NO = ?

1 mole of C₂H₃NO = 6.022*10²³molecules or atoms

5 moles = x molecules or atoms

x = 5 × 6.024

2*10²³ = 3.011*10²⁴ atoms or molecules

What this proves is that no matter the compound, molecule or element, as long as they have equal amount of moles, they'll have the same number of atoms, molecules or particles.

Answer 2

Answer:

a. 3.011x10²⁴ atoms of O in 5 moles.

b. 3.011x10²⁴ atoms of N in 5 moles.

c. 3.011x10²⁴ atoms of MgCl₂ in 5 moles.

d. 3.011x10²⁴ atoms of C₂H₃NO in 5 moles

Explanation:

A mole is defined as the number of atoms in exactly 12.000g of ¹²C.

This number is equal to 6.022x10²³. That means 1 mole is equal to 6.022x10²³.

Thus:

a. O . 5 moles of oxygen (An atom) are:

5 moles O ₓ (6.022x10²³ atoms of O / mole) = 3.011x10²⁴ atoms of O in 5 moles

b. N . Also, 5 moles of nitrogen are:

5 moles N ₓ (6.022x10²³ atoms of N / mole) = 3.011x10²⁴ atoms of N in 5 moles

c. MgCl₂ . Magnesium chloride is a molecule. Again, 1 mole of MgCl₂ contains 6.022x10²³ molecules and 5 moles are:

5 moles MgCl₂ ₓ (6.022x10²³ molecules of MgCl₂ / mole) = 3.011x10²⁴ atoms of MgCl₂ in 5 moles

d. C₂H₃NO. 5 moles of C₂H₃NO are:

5 moles  C₂H₃NO ₓ (6.022x10²³ molecules of  C₂H₃NO / mole) = 3.011x10²⁴ atoms of C₂H₃NO in 5 moles

As you can see, number of molecules of 1 mole doesn't depend on the nature of the substance.


Related Questions

The empirical formula for a compound consists of the symbols for the elements in the compound without any subscripts.
Select one:
True
False

Answers

Answer:

True

The empirical formula gives the simplest whole number ratio of atoms of each element in a compound.

why the chemical reaction between zinc and dilute hydrochloric acid is called displacement reaction​

Answers

Explanation:

The reaction between sulfuric acid, H2SO4 , and the base sodium hydroxide, NaOH , is a neutralization reaction. Na2SO4 is the salt sodium sulfate. ... For example, the reaction you've chosen is an acid-base reaction (also known as a neutralization reaction).

6. If the broken wire of the top branch
is connected, what will be true of the
lightbulbs? sc.6.P.13.1
A All of the bulbs would be lit.
B
None of the bulbs would be lit.
C Only the top bulb would be lit.
D Only the top two bulbs would be lit.
I NEED THIS !!

Answers

Answer: When two light bulbs are connected in parallel, which is true? A. The total resistance is less than the resistance of either bulb alone. B. The Voltage provided

Explanation:

Answer:

D. Only the top two bulbs would be lit.

Explanation:

When you connect the top light bulb, both the top and middle light bulbs will be lit. But, the bottom light bulb will not be lit because it is not connected. In order for a light bulb to be lit, it has to be connected on both sides by wire.

< Hope this helps! :)

Give three examples of unbalanced forces in your everyday life.

Answers

Answer:

weight force (i.e. the weight of something)

the force of a bat on the ball.

the force of the hair brush on hair when it is being brushed.

the force of your foot pushing on the pedal when you ride your bike.

Explanation:

Which two factors are leading to an increased use of natural resources?

Answers

What Drives Demand for Natural Resources?

Economic Growth. The rise of emerging markets has been the defining feature of the global economy this century.

Demographic Growth. The global population is growing and will reach 8.5 billion by 2030,
a 16.7% increase from 2015.

-Income Gains

-Environmental Change

-Technological Advancement

-Price Pressures

what special equipment did niels bohr use to develop his atomic model?

Answers

Neil Bohr used the fluorescent screen and an alpha particle detector to study the structure of an atom.

What is an atom?

An atom is defined as the smallest unit of matter which forms an element. Every form of matter whether solid,liquid , gas consists of atoms . Each atom has a nucleus which is composed of protons and neutrons and shells in which the electrons revolve.

Atoms of the same element are similar as they have number of sub- atomic particles which on combination do not alter the chemical properties of the substances.

The atom as a whole is neutral and stable due to presence of oppositely charged particles.

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The measured dipole moment of a polar covalent compound is 1.11 D with a percent ionic character of 18.2%. What is the bond length of this compound

Answers

Answer:

80.2

Explanation:

we subtract 18.2 from the total percentage which is 100%

The measured dipole moment of a polar covalent compound is 1.11 D with a percent ionic character of 18.2%. Therefore, the bond length of this compound will be 1.270 angstrom.

What is dipole moment?

Dipole moment results due to the separation of charges in a compound. Dipole moment can occur between the two ions present in an ionic bond or between the atoms present in a covalent bond. Dipole moment occurs due to the differences in electronegativity of atoms. The larger the difference in electronegativity between ions, the larger the dipole moment of the compound.

The bond length of the compound can be calculated with the help of the formula:

Measured dipole moment = 1.11 D

Theoretical bond length = 4.8×bond length

Percentage ionic character =  (μ₁ / μ₂) × 100

where, μ₁ = μ theoretical,

μ₂ = μ experimental

Putting the values in formula we get,

18.2 = (1.11/ 4.8 × bond length) × 100

Bond length = (1.11/ 4.8 × 18.2) × 100

Bond length = 111/ 87.36

Bond length = 1.270

Therefore, the bond length of the dipole is 1.270 angstrom.

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The hydrogen ion concentration of a sodium hydroxide solution is 0.00050 M. How is this concentration written in scientific notation?

A. 5.0 x 10⁻⁴M
B. 50 x 10⁴ M
C. 5.0 x 10⁴ M
D. 50 x 10⁻⁴M

Answers

Answer:

A. 5.0 x 10⁻⁴M

Explanation:

Move the decimal point in 0.00050 M to the right, counting the steps required, until it is to the right of the first non-zero number, 5 in this case.

0.00050 M  becomes 00005.0 M if we move the decimal point 4 spaces to the right.  Moving to the right means taking a negative 1 step each time,  The resulting count is -4, since we moved the decimal - 4 steps.  This becomes the exponent for the 10:  10^-4.   The 5.0 is attached to the 10^-4 to yield 5.0x10^-4 M, the answer.

The intensity of emitted gamma rays at a given energy is known to be directly proportional to the abundance of unstable isotopes that decay with that emission. Thus, the intensity of gamma rays emitted at 1.634 MeV is a measure of the abundance of 20F nuclei. The plot of Ln (intensity) vs time gives a linear response with slope = -k.

Calculate the half-life, t1/2, using equation (7), for 20F from each of the six replicate channel A runs and enter your results below. Be sure to use the correct number of sig figs in your responses. Remember, the slope values you measured can be displayed by clicking on the Data Summary tab. We're supposed to find individual half life for each of the trials, not an average.

Trial 1 Slope: -0.0629 s

Trial 2 Slope: -0.058 s

Trial 3 Slope: -0.0627 s

trial 4 Slope: -0.0661 s

Trial 5 Slope: -0.0599 s

trial 6 Slope: -0.0574

Answers

To calculate the half-life, t1/2, for 20F from each trial, we can use the equation:
t1/2 = -ln(2) / slope


Let's calculate the half-life for each trial:
Trial 1:
t1/2 = -ln(2) / -0.0629 s
t1/2 ≈ 11.0 s (rounded to the correct number of sig figs)

Trial 2:
t1/2 = -ln(2) / -0.058 s
t1/2 ≈ 12.0 s (rounded to the correct number of sig figs)
Trial 3:
t1/2 = -ln(2) / -0.0627 s
t1/2 ≈ 11.1 s (rounded to the correct number of sig figs)
Trial 4:
t1/2 = -ln(2) / -0.0661 s
t1/2 ≈ 10.5 s (rounded to the correct number of sig figs)
Trial 5:
t1/2 = -ln(2) / -0.0599 s
t1/2 ≈ 11.6 s (rounded to the correct number of sig figs)
Trial 6:
t1/2 = -ln(2) / -0.0574 s
t1/2 ≈ 12.1 s (rounded to the correct number of sig figs)
Please note that these values are rounded to the correct number of significant figures.

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Nick is in the lab and accidentally spills a beaker of hydrochloric acid (HCI) and a beaker of sodium hydroxide (NaOH). The two chemicals mix on the lab table. The equation below represents the reaction that occurs. HCI + NaOH -> H2O + NaCI What two ways can this reaction be classified? a. neutralization and single displacement b. neutralization and double displacement c. combustion and single displacement d. combustion and double displacement

Answers

The given chemical reaction is: HCl + NaOH → NaCl + H2O. It is a neutralization reaction and also double displacement reaction. Option b.

The reaction given is a neutralization reaction as this reaction is between an acid and a base and the end result of the reaction is to form salt and water. As, Hydrochloric acid (HCI) is an acid and Sodium hydroxide (NaOH) is a base, it will produce water and a salt, sodium chloride (NaCI) when they react with each other. Hence, option B is correct. Neutralization and double displacement are the two ways through which the given reaction can be classified.

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If a gas at 25.0 °C occupies 3.60 liters at a pressure of 1.00 atm, what will be its
volume at a pressure of 2.50 atm?

Answers

Answer:

1.44 L

Explanation:

If the temp does not change

P1V1 = P2V2

1 * 3.6   = 2.5 * V2

V2 = 1.44 L

The lowest allowable energy state of an atom is called its .

Answers

The lowest allowable energy state of an atom is called its ground state . Hope this helps (:

What is the concentration of H+ at pH 4 in moldm-3 ?

Answers

Answer:

The pH of a solution is a measure of its concentration of hydrogen ions. The higher the concentration of H + ions in an acidic solution, the lower the pH. A pH of 1 represents a hydrogen ion concentration of 0.1 mol/dm 3.

...

pH and hydrogen ion concentration.

Concentration pH

0.001 mol/dm 3 3

0.0001 mol/dm 3 4

Explanation:

Answer:

0.0001

That the answer your welcom

Which compound is composed of calcium and chlorine?
CO
CaCl2
CaF2
CsF

Answers

The compound that is composed of calcium and chlorine is CaCl₂

How do I determine the compound that contains calcium and chlorine?

To know which of the compound that contains calcium and chlorine, we must know the symbol of calcium and chlorine. This is shown below:

Calcium is a group 2 element with atomic number of 20 and a symbol of Ca

Chlorine is a group 17 element with atomic number of 17 and a symbol of Cl

With the above information, we can determine the compound that contains calcium and chlorine as follow:

The compound that contains calcium and chlorine must have Ca and Cl in it.

Thus, the compound that contains calcium and chlorine is CaCl₂

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naming ionic compounds what are the structural units that make up ionic compounds and how are they named?

Answers

The naming ionic compounds  the structural units that make up ionic compounds are cations as positively charged specie and the anions , negatively charged species.

The the structural units that make up ionic compounds are cations as positively charged specie and the anions , negatively charged species. There are some rules given below :

1) The name of the cation is by the name of the anion.

2) If cation has fixed charge then the name is same as  element.

3) For naming the anion the name of the element is used with the suffix ide.

The some examples are :

CaO = calcium oxide

AlN = aluminum nitride

Fe²⁺ = ferrous

Fe³⁺ = ferric

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How much of each solution should you add to the vial, if your goal is to have 500 mL of media with a final concentration of 5 mM magnesium sulfate

Answers

To achieve a final concentration of 5 mM magnesium sulfate in 500 mL of media, you should add 2.5 mL of 1 M magnesium sulfate solution to the vial.


To calculate the amount of magnesium sulfate solution to add to the vial, you first need to know the concentration of the stock solution that you have on hand. Assuming you have a 1 M (molar) solution of magnesium sulfate, you can use the following formula:

C1V1 = C2V2

where C1 is the initial concentration of the solution (1 M), V1 is the volume of the solution added (unknown), C2 is the desired final concentration (5 mM or 0.005 M), and V2 is the final volume (500 mL or 0.5 L).

Rearranging the formula to solve for V1, we get:

V1 = (C2V2) / C1

Plugging in the values, we get:

V1 = (0.005 M x 0.5 L) / 1 M

V1 = 0.0025 L or 2.5 mL

Therefore, to achieve a final concentration of 5 mM magnesium sulfate in 500 mL of media, you should add 2.5 mL of 1 M magnesium sulfate solution to the vial.

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6. What is the [OH-] concentration in a solution with a [H3O+] of 5.2 x 10- M? a​

Answers

Answer:

The concentration of hydroxide ions in the given solution is approximately 1.92 x 10^-10 M.

Explanation:

To calculate the answer of the concentration of hydroxide ions ([OH-]) in a solution with a given concentration of hydronium ions ([H3O+]), we will use the concept of the ion product of water (Kw) here at a given temperature.

What do you mean by concentration of ions?

The concentration of ions refers to the amount of ions present in a solution, typically expressed as moles of ions per unit volume of the solution. It represents the measure of the abundance or density of ions in the solution.

In pure water at 25°C, the concentration of hydronium ions = the concentration of hydroxide ions, and the ion product of water (Kw) is defined as:

Kw = [H3O+] × [OH-] = 1.0 x 10^-14

Given: [H3O+] = 5.2 x 10^- M

To solve [OH-] we will rearrange the equation:

[OH-]  = Kw / [H3O+]

[OH-] = (1.0 x 10^-14) / (5.2 x 10^- M)

[OH-] ≈ 1.92 x 10^-10 M

Therefore, the concentration of hydroxide ions in the given solution is approximately 1.92 x 10^-10 M.

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Why do ionic compounds include at least one metal?

Answers

Ionic compounds include at least 1 metal because metals need to donate electrons. (In ionic bonds one compound takes electrons, therefore you need a metal to donate electrons).

Otherwise, with two non-metals the compounds would likely share electrons.

The catalytic converter of a secondary air injection system converts the hydrocarbons and carbon monoxide to _______ and _______.

Answers

The catalytic converter of a secondary air injection system converts the hydrocarbons and carbon monoxide to carbon dioxide (CO2) and water (H2O). It is a fundamental part of a vehicle.

Catalytic converter and air injection systems

A catalytic converter refers to the device observed in a car and/or vehicle, which is used to remove different contaminant gases.

In general, the catalytic converter is placed close to the car engine and reduces the release of hydrocarbons.

In general, the air injection system is connected to the catalytic converter in order to provide useful oxygen required for oxidation reactions.

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The following table lists the specific heat capacities of select substances:
Water (3110 {~g}) is heated until it just begins to boil. If the water absorbs 5.39 × 10^{5} {

Answers

The specific heat capacity of water is 4.18 J/(g K) and the given amount of water is more than 100 grams. We need to calculate the energy absorbed by the water to reach boiling point when 5.39 × 10^5 J of heat is supplied.

The amount of water used is not provided in the question, therefore, let's first calculate the energy required to raise the temperature of 100g of water from room temperature (25°C) to its boiling point (100°C) using the formula,Q = m × c × ΔTwhere,Q = energy absorbedm = mass of waterc = specific heat capacity of waterΔT = change in temperature of water= 100 - 25 = 75°C (since the water is heated until it just begins to boil)Thus,Q = \(100 g × 4.18 J/(g K) × 75°C= 31350 J= 31.35 kJ\) of energy is required to heat 100g of water from 25°C to 100°C.

Now, let's determine the mass of water using the amount of heat energy supplied:Q =\(m × c × ΔT, where Q = 5.39 × 10^5 Jm = Q / (c × ΔT)= 5.39 × 10^5 J / (4.18 J/(g K) × 75°C)= 204.55 g\)(approx.)Therefore, more than 100 g of water is required to absorb 5.39 × 10^5 J of heat to reach its boiling point.

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Which is the correct number of moles of NO that is produced from 13.2 moles of oxygen
gas, O2?
4NH3 + 502 —> 4N0 + 6H2O

Answers

Answer:

10.6 mol NO

General Formulas and Concepts:

Math

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Chemistry

Stoichiometry

Using Dimensional AnalysisExplanation:

Step 1: Define

[RxN - Balanced] 4NH₃ + 5O₂ → 4NO + 6H₂O

[Given] 13.2 mol O₂

Step 2: Identify Conversions

[RxN] 5 mol O₂ → 4 mol NO

Step 3: Stoich

[DA] Set up:                                                                                                     \(\displaystyle 13.2 \ mol \ O_2(\frac{4 \ mol \ NO}{5 \ mol \ O_2})\)[DA] Multiply/Divide [Cancel out units]:                                                         \(\displaystyle 10.56 \ mol \ NO\)

Step 4: Check

Follow sig fig rules and round. We are given 3 sig figs.

10.56 mol NO ≈ 10.6 mol NO

arrange: create the correct electron configuration for argon. then, click next element to get to potassium (k). click once in the first 3d orbital, and then click check. what feedback is given?

Answers

The feedback will depend on the specific configuration entered by the user. However, if the correct electron configuration for argon is entered (1s2 2s2 2p6 3s2 3p6), and then the user clicks on the first 3d orbital for potassium, the feedback should indicate that this is an incorrect configuration because potassium's electrons first fill the 4s orbital before occupying the 3d orbitals.

As per the question given,  

What exactly is feedback?

Feedback happens when a system's outputs are routed back as inputs as part of a cause-and-effect chain that creates a circuit or loop. The system is said to feed back onto itself.

What exactly do you mean by configuration?

In general, a configuration is the arrangement - or the act of arranging - of the pieces that comprise a whole.

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WHICH LAW BEST EXPLAINS THIS? GIVING BRAINLIST TO CORRECT ANSWER

WHICH LAW BEST EXPLAINS THIS? GIVING BRAINLIST TO CORRECT ANSWER

Answers

The law that can be used to explain this is the Henry's law. Option A

What is the Henry's law?

Henry's law is a theory that explains the connection between a gas's solubility in a liquid and its partial pressure. According to this, the amount of a gas that dissolves in a liquid is directly proportional to the partial pressure of the gas above the liquid when the temperature is constant.

Mathematically;

C = k * P

C = the concentration of the dissolved gas in the liquid

k = Henry's law constant

P = the partial pressure of the gas

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Why are x-rays and the radiation emitted by radioisotopes called ionizing radiation?

Answers

Answer:

The radiation has enough energy to knock electrons off some atoms of a bombarded substance producing ions.

Explanation:


Using the above scenario, which of these would have the largest amount of available energy?
A) grass
B) grasshopper
C) snake
D) hawk

Answers

Answer:

Grass

Explanation:

The higher up you go in a food chain, the less energy available and the more you have to use to acquire energy.

why does water and oil explode when heated together?

Answers

Answer: The reaction is so aggressive, since there is no combination of water and oil. When the water is poured into the beaker of burning oil, it falls to the bottom and, due to the extreme heat, it vaporizes into steam almost instantaneously. ... This oxygenates the oil and produces a massive blaze.

Explanation:

Hope This Helps!!! : )

what is the result of applying too much sample to the tlc plate?

Answers

Answer:

If the TLC plate runs samples which are too concentrated, the spots will be streaked and/or run together. If this happens, you will have to start over with a more dilute sample to spot and run on a TLC plate.

Explanation:

Arrange the steps in order to describe how photons and carbon dioxide (CO2) contribute to the warming of Earth.

CO2 in the atmosphere absorbs infrared
photons.

CO2 in the atmosphere emits infrared photons back toward Earth.

Photons from the Sun strike Earth and become infrared photons.

Earth radiates infrared photons into the atmosphere

The Sun radiates sunlight (visible)
photons

Answers

The Sun radiates sunlight (visible)  photons

Photons from the Sun strike Earth and become infrared photons.

Earth radiates infrared photons into the atmosphere

CO2 in the atmosphere absorbs infrared  photons.

CO2 in the atmosphere emits infrared photons back toward Earth.

Certain gases are known to contribute towards global warming. Such gases are called greenhouse gases. The infrared rays from the sun are absorbed by these gases as they are re-emitted from the earth and re-emitted.

The sun radiates photons to the earth which is re-radiated into outerspace from the earth's surface. CO2 and other greenhouse gases absorbs these gases and re-emit them to the earth thereby causing a gradually rise in the temperature of the earth called global warming.

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PLEASE HURRY 10mins left !!

_______ scientists study the properties of substances that are either synthetic or natural.

Answers

Answer:

Chemists

Explanation:

The answer is:

Materials

Can buffer happen with a strong acid and a salt?
The question: 0.2 HCl and 0.2 NaCl

Answers

A buffer can not be made from  a strong acid and a salt.

What is a buffer?

We know that the term buffer has to do with the type of solution that we use to prevent any kind of change in the acidity or the alkalinity of a solution. In order words, the buffer is the type of solution that is used to prevent a change in the pH of the system.

Unfortunately, there can not be a buffer that is made from a strong acid and a strong base. Rather we can only have a buffer that is made from a weak acid and its salt  or a buffer that is made from a weak base and its salt.

Since HCl is  a strong acid and NaCl is a salt of  strong acid, it then follows that the combination of HCl and NaCl can never be used as a buffer.

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How many months would it take you to repay \( \$ 50000 \) by making payments of \( \$ 750 \) at the end of every month at an interest rate of \( 6 \% \) compounded monthly? Tyrese knows that when he runs over and stands quietly by his grandfather's chair, he will reach over and tickle her under his chin. _____ enables Tyrese to behave in this specific way to obtain a specific result. Problem 4: Compute (i) the trans-resistance gain, Rmf, (ii) input impedance, Rif, and (iii) output impedances, Rof and R'of of a voltage-shunt feedback amplifier, having Rm= 150, R;=5=7 k, R.= 2 ks, R= 15 kn, and = 0.03. How many atoms are in 3.2 pg of Ca? The molar mass of Ca is 40.08g/mol. The resistance R of a copper wire at temperature T = 22"Cis R = 182. Estimate the resistance - 26 Cuming that F-22 = 0,0707C (Use decimal notation. Give your answer to two decimal places.) 23.04 R(2 Which of the following compounds would have the largest enthalpy of formation? The bond energies are given in parentheses. a. H-H (436 kJ/mol) b. H-Cl (431 kJ/mol) c. H-F (567 kJ/mol) d. H-I (299 kJ/mol) e. H-Br (366 kJ/mol) Solve the following differential equation with the givenboundary conditions. - If there are infinitely many solutions, use c for anyundetermined constants.- If there are no solutions, write No Solution.- Write answers as functions of x (i.e. y = y(x)).y" +4y = 0 What happens to a target dated fund as it gets closer to the target date? It automatically re-allocates all assets into the S&P 500 Index. It gradually decreases statistical risk by increasing the allocation to bonds. It prepares to liquidate and turn all assets into an annuity. It gradually increases statistical risk by increasing the allocation to stocks. the nurse is monitoring a client postoperatively after a permanent pacemaker insertion. which finding would be most concerning to the nurse? The Walt Disney Company's annual report for the year ended September 29, 2018, includes income statements for the years ending in 2016, 2017, and 2018. Net income for these three years is as follows (all in millions): $9,790 (2016), \$9,366 (2017) and \$13,066 (2018). Further analysis of the same income statements reveals that revenues were the following amounts for these same years (all in millions): \$47,130 (2016), \$46,843 (2017), and \$50,869 (2018). State each year's net income as a percentage of revenues and comment briefly on the trend you see over the three-year period. High levels of stress over long periods of time can reduce longevity and career satisfaction.t or f Rearrange the formula for y2 In the LRC circuit, why does the sum of the voltages around the circuit not equal the applied voltage as Kirchoff's rule requires? The summation of the voltages around the circuit will become equal to the applied voltage only if all the voltages are in the same phase. But in LCR circuits the voltages across different components will be not always in same phase. Using L = 20 mH, C = 50 muF and R = 15 ohms, calculate the resonant frequency of the series LRC circuit. Show your work in the space below. omega_f = 1/squareroot LC = omega_f = 1000 rad/sec =f = 159.15 Hz Using the values from pre-lab question 2 and an applied voltage of 3.0 volts across the circuit, plot (on a separate sheet) the voltage across the resister as a function of frequency from 40 Hz to 240 Hz. A penny has a mass of 2.5 grams. It is laying on level ground. What is the normal force acting on the penny? Which of the following are solutions to the equation below?Check all that apply.4x2 + 20x + 25 = 49 What is the first period of Earth's development called?A.CambrianB.PrecambrianC.PaleozoicD.all of the above No person can serve in the office of the U.S. President for more than A. four 4-year terms B. two 4-year terms C. two 4-years terms plus one day under two years of a term served whereby ascension to the Presidency from the Vice Presidency has taken place D. one day under 10 years E. both C and D looking for counterexamples to one's own general claims is important in argument because it gives arguers an opportunity to strengthen their arguments by fine-tuning their generalizations. True or False? solve this asapProblem 11. (1 point) For each residual plot below, decide on whether the usual assump- tions: "Yi Bo + Bixi +, i = 1,...,n,&; independent N(0,0) random variables" of simple linear regression ar 4) which compound has the lowest boiling point? a) ch3cho b) ch3ch2cho c) ch3ch2oh d) ch3ch2ch2oh e) ch3coch3