When 0.60 mol NH3 is decomposed in a 1 Liter flask at 850 K, the equilibrium concentration of NH3 is measured as 0.12 M. Given that ammonia decomposes according to the reaction 2 NH3(g) <=> N2 (g) + 3H2 (g), what is Kc for the reaction?

Answers

Answer 1

To find the value of Kc for the given reaction, we need to use the equilibrium concentrations of the reactants and products.

To find the value of Kc for the given reaction, we need to use the equilibrium concentrations of the reactants and products. The balanced equation tells us that for every 2 moles of NH3 that decompose, 1 mole of N2 and 3 moles of H2 are produced. Therefore, at equilibrium, the concentration of NH3 is 0.12 M, and the concentrations of N2 and H2 are (0.60 - 2x) M and (1.8 - 3x) M, respectively (where x is the amount of NH3 that decomposes in moles).
Using the equilibrium concentrations in the expression for Kc, we get:
Kc = [N2]^1[H2]^3/[NH3]^2
Kc = [(0.60 - 2x) M]^1[(1.8 - 3x) M]^3/[0.12 M]^2
Simplifying this expression and solving for x, we get:
Kc = 4x^2 - 7.5x + 3.12
x = 0.099
Substituting this value of x into the expression for Kc, we get:
Kc = 0.0317 M^-1
So the value of Kc for the given reaction at 850 K is 0.0317 M^-1.

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Related Questions

pure water contains a water molecules, hydronium ions, and hydroxide ions. b water molecules only. c hydronium ions only. d hydroxide ions only.

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Option b is correct. Pure water contains only water molecules and does not have any hydronium or hydroxide ions.

The presence of these ions indicates that the water has undergone some kind of chemical reaction or has dissolved some other substance. In pure water, the concentration of both hydronium and hydroxide ions is very low, around 10^-7 moles per liter. This concentration is the basis for the pH scale, which measures the acidity or alkalinity of a substance. The pH of pure water is 7, indicating that it is neutral. Pure water contains water molecules (H2O), hydronium ions (H3O+), and hydroxide ions (OH-). Although it predominantly consists of water molecules, a small fraction undergoes a process called autoionization. In this process, two water molecules interact, with one donating a proton to the other, forming hydronium and hydroxide ions. The correct answer is option A, as all three components are present in pure water.

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a cookie made with a high proportion of eggs, sugar, and liquid, a low proportion of fat and a strong flour will be very

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A cookie made with a high proportion of eggs, sugar, and liquid, a low proportion of fat and a strong flour will be very tender and soft.

The high amount of eggs and sugar provides moisture and tenderness to the cookie, while the low proportion of fat prevents it from becoming too greasy or heavy. The strong flour provides structure and helps the cookie hold its shape while baking. This type of cookie is often referred to as a "cake-like" cookie and is popular for its light and fluffy texture. It's important to note that the ratio of ingredients plays a critical role in determining the final texture and taste of the cookie.

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it took 28.45 ml of 0.1124 m naoh to reach the endpoint when titrating a sample containing 0.4307 g of an unknown acid how many moles of sodium hydroxide were used?

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It took 28.45 ml of 0.1124 m naoh to reach the endpoint when titrating a sample containing 0.4307 g of an unknown acid approximately 0.0032 moles of NaOH were used in the titration.

To determine the number of moles of sodium hydroxide (NaOH) used, we can use the equation:

Moles of NaOH = Volume of NaOH (in liters) × Molarity of NaOH

First, we convert the volume of NaOH used from milliliters to liters:

Volume of NaOH = 28.45 ml = [tex]28.45 * 10^{(-3)}[/tex] L = 0.02845 L

Next, we substitute the known values into the equation:

Moles of NaOH = 0.02845 L × 0.1124 mol/L = 0.0032 mol

Therefore, approximately 0.0032 moles of NaOH were used in the titration.

This calculation is based on the concept of molarity, which relates the number of moles of a solute to the volume of the solution. In this case, the molarity of NaOH is given as 0.1124 M, and by multiplying it by the volume in liters, we obtain the number of moles of NaOH used in the titration.

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a small steel bead (d = 0.1 mm, rhos = 7900 kg m-3) is released in a large container of fluid. when the gravitational and drag forces on the bead balance, the drag force can be expressed as:

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The drag force acting on a small steel bead in a fluid can be determined when it reaches a state of equilibrium with the gravitational force.

When a small steel bead is released in a fluid, it experiences both gravitational force and drag force. The drag force is the resistance encountered by the bead as it moves through the fluid. At equilibrium, the gravitational force and drag force balance each other out, resulting in a constant velocity for the bead.

The drag force can be expressed using the drag equation, which relates the drag force to the fluid properties, the shape of the object, and its velocity. The drag force on the bead can be determined using the equation:

Fd = 0.5 * Cd * A * ρ * v^2

where Fd is the drag force, Cd is the drag coefficient (which depends on the shape of the object and the fluid properties), A is the cross-sectional area of the bead, ρ is the density of the fluid, and v is the velocity of the bead.

In this case, the drag force and gravitational force are equal when the bead reaches a state of equilibrium. By setting the drag force equal to the gravitational force (mg, where m is the mass of the bead and g is the acceleration due to gravity), the velocity at equilibrium can be determined. This allows for the calculation of the drag force acting on the small steel bead in the fluid.

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All of the following statements are true about color,EXCEPT:
a. It is a phenomenon of light
b. it is a group of electromagnetic waves
c. It can be seen of wavelengths are reflected off an object
d. It does not depend on presence of light

Answers

The correct answer is d. Color does depend on the presence of light. Color is a perceptual phenomenon that occurs when light is absorbed, reflected, or transmitted by an object.


The correct answer is d. Color does depend on the presence of light. Color is a perceptual phenomenon that occurs when light is absorbed, reflected, or transmitted by an object. It is a property of light that depends on its wavelength. When white light passes through a prism, it is separated into different colors, which are the different wavelengths of the electromagnetic spectrum. These colors are red, orange, yellow, green, blue, indigo, and violet. These colors combine to create the visible spectrum of light. Color can be seen when certain wavelengths are absorbed by an object and other wavelengths are reflected back to our eyes. The colors we see depend on the wavelengths of light that are reflected or absorbed. Therefore, color is a phenomenon of light, it is a group of electromagnetic waves, and it can be seen if certain wavelengths are reflected off an object.

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pure water partially breaks down into charged particles in a process called a hydrolysis. b self-ionization. c hydration. d dissociation.

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The correct term for the breakdown of pure water into charged particles is dissociation. This process occurs when water molecules separate into ions, such as H+ and OH-.

It is important to note that pure water has a neutral pH of 7, which means that the concentration of H+ and OH- ions is equal. This process is different from self-ionization, which refers to the reaction where a molecule ionizes itself. Hydration refers to the process of a solute dissolving in water and being surrounded by water molecules, while hydrolysis is a chemical reaction where water is used to break down a compound.

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5. In one method of manufacturing nitric acid, ammonia is oxidized to nitrogen monoxide and water:
How many grams of water will be produced in a reaction of 2800. L. of nitrogen trihydride?
4NH₂(g) + 50.(g) → 4NO(g) + 6H₂O)
03/16/2023 12:03

Answers

The balanced chemical equation for the reaction is:

4NH3(g) + 5O2(g) → 4NO(g) + 6H2O(g)

From the equation, we can see that for every 4 moles of NH3 reacted, 6 moles of H2O are produced. Therefore, we can use the following conversion factors:

4 moles NH3 → 6 moles H2O
1 mole NH3 → 6/4 moles H2O
1 mole NH3 → 1.5 moles H2O

To convert the volume of NH3 gas to moles, we need to use the ideal gas law:

PV = nRT

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

Assuming standard temperature and pressure (STP), which is 0°C and 1 atm, the volume of 2800 L of NH3 gas contains:

n = PV/RT = (1 atm)(2800 L)/(0.08206 L·atm/mol·K)(273 K) ≈ 1214.5 moles NH3

Using the conversion factor above, we can calculate the number of moles of H2O produced:

n(H2O) = n(NH3) × (1.5 moles H2O/1 mole NH3) ≈n(H2O) = 1214.5 moles NH3 × (1.5 moles H2O/1 mole NH3) ≈ 1821.75 moles H2O

Finally, we can convert the number of moles of H2O to grams using the molar mass of water:

m(H2O) = n(H2O) × M(H2O) = 1821.75 moles H2O × 18.015 g/mol ≈ 32,787 g or 32.787 kg

Therefore, approximately 32.787 kg or 32,787 g of water will be produced in the reaction of 2800 L of NH3 gas.

2-propanol is shown below. draw the structure of its conjugate base. (ch3)2choh

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The conjugate base of 2-propanol is isopropoxide ion or 2-propanoxide ion, which has a negatively charged carbon and oxygen atoms.

2-propanol, also known as isopropanol or rubbing alcohol, is a type of alcohol that is commonly used as a disinfectant, solvent, and fuel additive. When it is dissolved in water, it can form a weak acid due to the presence of the hydroxyl group (-OH) that can donate a proton (H+).
The conjugate base of 2-propanol can be formed by removing a proton from the hydroxyl group. This results in the formation of the negatively charged species called isopropoxide ion or 2-propanoxide ion (CH3)2CHO-.
The structure of the isopropoxide ion can be represented as CH3-C(-)H-O(-). The negative charge is delocalized between the carbon and oxygen atoms, making it a stable conjugate base.
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an acid with a pka of 8.0 is present in a solution with a ph of 6.0. what is the ratio of base to acid?

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the ratio of base to acid in the solution is 0.01. The ratio of base to acid can be determined using the Henderson-Hasselbalch equation: pH = pKa + log([base]/[acid]).

Rearranging the equation, we get [base]/[acid] = 10^(pH-pKa). Substituting the given values, we get [base]/[acid] = 10^(6-8) = 0.01. Therefore, the ratio of base to acid is 0.01 or 1:100. To find the ratio of base to acid in a solution, you can use the Henderson-Hasselbalch equation: pH = pKa + log ([base]/[acid]). In this case, the pKa is 8.0 and the pH is 6.0. Plugging these values into the equation, we get:
6.0 = 8.0 + log ([base]/[acid])
Now, we need to solve for the ratio [base]/[acid]. First, subtract 8.0 from both sides:
-2.0 = log ([base]/[acid])
Next, use the inverse logarithm (10^x) to remove the log:
10^(-2.0) = [base]/[acid]
This results in:
0.01 = [base]/[acid]
Thus, the ratio of base to acid in the solution is 0.01.

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Identify the properly written and balanced equation for the precipitation reaction between ammonium sulfide and cobalt(II) chloride. please choose the correct answer from the following choices, and then select the submit answer button. answer choices
A. (NH4)2S+2 CoCl2 → CoS + NH4CI
B. (NH4)2S+ CoCl → COS + 2 NH4CI
C. NH4S + CoCl2 → CoS2 + 2 NH4CI
D. NHS+COCICOS + NH4Cl

Answers

Your answer: A. (NH4)2S + 2 CoCl2 → CoS + 2 NH4Cl. This equation shows that when ammonium sulfide is added to cobalt(II) chloride, a precipitation reaction occurs, resulting in the formation of solid cobalt sulfide and aqueous ammonium chloride.

The properly written and balanced equation for the precipitation reaction between ammonium sulfide and cobalt(II) chloride is A. (NH4)2S+2 CoCl2 → CoS + 2 NH4CI. This equation shows that when ammonium sulfide is added to cobalt(II) chloride, a precipitation reaction occurs, resulting in the formation of solid cobalt sulfide and aqueous ammonium chloride. This equation is balanced because there are an equal number of atoms on both sides of the equation. It is important to use a balanced equation in chemistry to ensure that the reactants and products are in the correct proportions and to accurately calculate stoichiometric ratios.
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Calculate to three significant digits the density of boron trifluoride gas at exactly −5°C and exactly 1atm . You can assume boron trifluoride gas behaves as an ideal gas under these conditions.

Answers

The density of boron trifluoride gas at exactly -5°C and exactly 1 atm is approximately 3.29 g/L.

To calculate the density of boron trifluoride ([tex]BF_3[/tex]) gas at -5°C and 1 atm, we can use the ideal gas law and the molar mass of [tex]BF_3[/tex].

The ideal gas law is given by PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature in Kelvin.

First, we need to convert -5°C to Kelvin. Kelvin temperature is obtained by adding 273.15 to the Celsius temperature.

-5°C + 273.15 = 268.15 K

Next, we need to find the molar mass of [tex]BF_3[/tex]. The molar mass of boron (B) is approximately 10.81 g/mol, and the molar mass of fluorine (F) is approximately 18.998 g/mol. Since [tex]BF_3[/tex] contains one boron atom and three fluorine atoms, the molar mass of [tex]BF_3[/tex] is:

Molar mass of [tex]BF_3[/tex] = 1(B) + 3(F) = 10.81 g/mol + 3(18.998 g/mol) = 83.805 g/mol

Now, we can rearrange the ideal gas law to solve for the density (d):

d = (molar mass of [tex]BF_3[/tex] * P) / (R * T)

Substituting the known values:

d = (83.805 g/mol * 1 atm) / (0.0821 L·atm/(mol·K) * 268.15 K)

Calculating the density:

d ≈ 3.29 g/L

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- What is the change in enthalpy when 36.00 g of aluminum reacts with excess ammonium nitrate
(NH4NO3) according to the equation: (5 points)
2A1+ 3NH4NO3 → 3N2 + 6 H₂O + Al2O3 AH = -2030kJ

Answers

To determine the change in enthalpy when 36.00 g of aluminum reacts with excess ammonium nitrate (NH4NO3) according to the given equation, we need to use the molar mass of aluminum and the stoichiometry of the reaction.

The molar mass of aluminum (Al) is 26.98 g/mol.

First, we need to calculate the moles of aluminum (Al) in 36.00 g of aluminum:

moles of Al = mass of Al / molar mass of Al
moles of Al = 36.00 g / 26.98 g/mol ≈ 1.334 mol

From the balanced equation, we can see that the stoichiometric ratio between aluminum (Al) and the change in enthalpy is 2: -2030 kJ. This means that for every 2 moles of aluminum reacting, the change in enthalpy is -2030 kJ.

Next, we can use the stoichiometry to calculate the change in enthalpy for the given amount of aluminum:

change in enthalpy = moles of Al * (change in enthalpy / stoichiometric coefficient of Al)
change in enthalpy = 1.334 mol * (-2030 kJ / 2) ≈ -1362.68 kJ

Therefore, the change in enthalpy when 36.00 g of aluminum reacts with excess ammonium nitrate (NH4NO3) is approximately -1362.68 kJ.

How many grams of beryllium chloride (BeCl2) are needed to make 125 g of a 22.4% solution?

Answers

Answer: 28 grams

Explanation:

calculation of the mass :

x grams = (22.4/100) * 125 grams

to solve for x otherwise known as how many grams we need :

x grams = (22.4/100) * 125 grams

x grams = 0.224 * 125 grams

x grams = 28 grams

a compound containing nitrogen and oxygen is decomposed in the laboratory and produces 1.78 g of nitrogen and 4.05 g of oxygen.

Answers

A compound containing nitrogen and oxygen is decomposed in the laboratory and produces 1.78 g of nitrogen and 4.05 g of oxygen. one molecule of N2O decomposes to form one molecule of N2 (nitrogen gas) and one molecule of O2 (oxygen gas). Therefore, the empirical formula of the compound containing nitrogen and oxygen is N2O.

To determine the empirical formula of the compound containing nitrogen and oxygen, we need to analyze the masses of nitrogen and oxygen produced during the decomposition. Given that 1.78 g of nitrogen and 4.05 g of oxygen are obtained, we can calculate the moles of each element using their respective molar masses. The molar mass of nitrogen (N) is approximately 14.01 g/mol, and the molar mass of oxygen (O) is around 16.00 g/mol.

Moles of nitrogen = mass of nitrogen / molar mass of nitrogen = 1.78 g / 14.01 g/mol

Moles of oxygen = mass of oxygen / molar mass of oxygen = 4.05 g / 16.00 g/mol

Next, we need to determine the simplest whole-number ratio between the moles of nitrogen and oxygen. By dividing both values by the smallest number of moles obtained, we find that the ratio is approximately 1:2. This indicates that the empirical formula of the compound is N2O.

The balanced chemical equation for the decomposition can be written as:

[tex]\[\text{N2O} \rightarrow \text{N2} + \text{O2}\][/tex]

In this equation, one molecule of N2O decomposes to form one molecule of N2 (nitrogen gas) and one molecule of O2 (oxygen gas). Therefore, the empirical formula of the compound containing nitrogen and oxygen is N2O.

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the molar absorptivity of beta-carotene at 490 nm is 1.36 x 105 m-1cm-1. what is the concentration of a solution of beta-carotene that has an absorbance, a490

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The cοncentratiοn οf the sοlutiοn οf beta-carοtene can be calculated by dividing the absοrbance at 490 nm by 1.36 x 10⁵ M⁻¹cm⁻¹.

How tο calculate the cοncentratiοn οf a sοlutiοn?

Tο calculate the cοncentratiοn οf a sοlutiοn οf beta-carοtene, we can use the Beer-Lambert Law, which relates the absοrbance οf a sοlutiοn tο its cοncentratiοn.

The Beer-Lambert Law is given by:

A = ε * c * l

where A is the absοrbance, ε is the mοlar absοrptivity, c is the cοncentratiοn, and l is the path length.

In this case, we are given the mοlar absοrptivity (ε) οf beta-carοtene at 490 nm as 1.36 x 10⁵ M⁻¹ cm⁻¹ * 1 cm, and we want tο determine the cοncentratiοn (c).

Rearranging the equatiοn, we have:

c = A / (ε * l)

Substituting the values:

A = absοrbance at 490 nm

Let's assume a path length (l) οf 1 cm.

c = A / (1.36 x 10⁵ M⁻¹ cm⁻¹ * 1 cm)

Therefοre, the cοncentratiοn οf the sοlutiοn οf beta-carοtene can be calculated by dividing the absοrbance at 490 nm by 1.36 x 10⁵ M⁻¹cm⁻¹.

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hoose the substance with the highest viscosity. a) (ch3ch2)2co b) c2h4cl2 c) hoch2ch2ch2ch2oh d) ccl4 e) c6h14

Answers

The substance with the highest viscosity among the given options is c) HOCH2CH2CH2CH2OH (1-butanol).

Option c) HOCH2CH2CH2CH2OH, or 1-butanol, has the maximum viscosity of the chemicals provided. The resistance to the flow of a fluid is measured by its viscosity, which is controlled by intermolecular forces, molecular size, and shape. The largest molecular weight in this situation is that of 1-butanol, which also has a somewhat long and flexible carbon chain. Higher viscosity is a result of these properties' contribution to increased intermolecular forces. In comparison to 1-butanol, the other options—(CH3CH2)2CO (acetone), C2H4Cl2 (1,2-dichloroethane), CCl4 (carbon tetrachloride), and C6H14 (hexane)—have lower molecular weights or intermolecular interactions.

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3) do you have enough information to determine the volume of the 2-propanol in the flask in the first picture? how?

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Based on the information provided in the first picture, we cannot determine the volume of the 2-propanol in the flask with complete certainty. However, we can make some estimates based on the markings on the flask.

The flask appears to be a 500 mL volumetric flask, which means that it can hold up to 500 mL of liquid. The 2-propanol appears to be filled up to the 250 mL marking on the flask, which means that there could be approximately 250 mL of 2-propanol in the flask. However, without additional information, such as the density of the 2-propanol, we cannot determine the exact volume with complete accuracy.

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Use the following reactions with known ΔG∘rxnΔGrxn∘ values:
N2O4(g)→2NO2(g)N2O4(g)→2NO2(g), ΔG∘rxnΔGrxn∘ = 2.8 kJkJ
NO(g)+12O2(g)→NO2(g)NO(g)+12O2(g)→NO2(g), ΔG∘rxnΔGrxn∘ = - 36.3 kJkJ
Express your answer using one decimal place.

Answers

The standard Gibbs free energy change (ΔG°rxn) for the reaction N2O4(g) → 2NO2(g) is 2.8 kJ.

The responses are as follows:

Grxn = 2.8 kJ N2O4(g) 2NO2(g)

NO2(g) Grxn = -36.3 kJ NO(g) + 1/2O2(g)

2NO(g) + O2(g) = N2O4(g)

To eliminate the intermediates, we can reorder the reactions and their corresponding Grxn values:

Grxn = 2.8 kJ N2O4(g) 2NO2(g)

1/2O2(g) Grxn = -36.3 kJ from 2NO2(g) NO(g) + NO(g)

These two equations added together give us:

N2O4(g), 2NO(g), and O2(g) result in 3NO2(g)

The total of the Grxn values represents the Grxn for the intended reaction:

Grxn equals 2.8 kJ plus (-36.3 kJ) to equal 33.5 kJ.

So, for the reaction 2NO(g) + O2(g) N2O4(g), Grxn.

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what is the percent ionization of 0.20 m iodic acid? (the ka value for iodic acid, hio3, is 1.7 × 10−1.)

Answers

The percent ionization of 0.20 M iodic acid is approximately 92.3%.

To determine the percent ionization of iodic acid (HIO3), we need to calculate the concentration of ionized H+ ions compared to the initial concentration of HIO3.

The ionization of iodic acid can be represented by the following equilibrium equation:

HIO3(aq) ⇌ H+(aq) + IO3-(aq)

The equilibrium constant expression (Ka) for this reaction is given as:

Ka = [H+(aq)][IO3-(aq)] / [HIO3(aq)]

Given that the Ka value for iodic acid is 1.7 × 10^(-1), we can set up the following expression:

1.7 × 10^(-1) = [H+(aq)][IO3-(aq)] / [HIO3(aq)]

Since the initial concentration of HIO3 is 0.20 M, we can assume that the concentration of H+ and IO3- ions formed at equilibrium is x.

Thus, the equilibrium expression becomes:

1.7 × 10^(-1) = x^2 / (0.20 - x)

To simplify the calculation, we can assume that x is very small compared to 0.20, so we can approximate 0.20 - x as 0.20.

1.7 × 10^(-1) = x^2 / 0.20

Cross-multiplying, we get:

0.034 = x^2

Taking the square root of both sides, we find:

x ≈ 0.1846

The percent ionization is given by:

Percent Ionization = (concentration of ionized H+ ions / initial concentration of HIO3) * 100

Plugging in the values, we have:

Percent Ionization = (0.1846 / 0.20) * 100

Percent Ionization ≈ 92.3%

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If you know that an attacker has established an initial foothold, the next step is to identify the _____a. containment strategy b. threat sector c. recovery mode d. nvestigative approach client position (client id: integer not null position id: integer not null years experience: integer) primary key: client id, position id foreign key: (client id) references client (client id) on update cascade on delete cascade foreign key: (position id) references positions (position id) on update cascade on delete no action Prove that MATH is a rectangle if M (-5, -1), A(-6,2), T(0,4), H (1, 1). 1. Plot the points M, A, T, H on the coordinate grid. 2. Show that MATH is a parallelogram and its diagonals bisect each other Write a balanced Al(s), Ba(s), Ag(s), and Na(s) for the synthesis reaction of Br2(g). Propose a new derivative productNew derivative products are introduced into the market every day.Some products are not necessarily traded on the exchange such as forward contracts.In this task each student is asked to design a new derivative product.You are not required to use exchange traded assets as underlying assets, but the fair price of the asset should be available. Try to come up with original ideas. Write a letter to your friend describing your role model, stating what you have learnt from this person and which of his/her qualities you hope to emulate. (450 words) Find the following, ai | S "sin(x2) [ ] => sin(x) dx =? dx a. 1 b. 0 C. X d. 2 e. -1 "2. Find the volume of the solid obtained by rotating the region bounded by y=6x^2, x=2, x=3 and y=0, about the x-axis. V=? 3. Find the volume of the solid formed by rotating the region enclosed by y=e^1x+3, y=0, x=0, x=0.4y=e^1x+3, y=0, x=0, x=0.4 about the x-axis. 4. Find the average value of the function f(x)=4x5 on the interval 25x54? Let f(x) Evaluate the 9th derivative of f at x = 0. 27 f(9)(0) 0 Hint: Build a Maclaurin series for f(x) from the series for cos(x). which of these figures has a line of symmetry drawn correctly? (2 points) shape a, shape b, shape c, and shape d shape a and shape c shape b, shape c, and shape d shape a a conflict that was between the us and the soviet union. the nations never directly confronted each other on the battlefield but deadly threats went on for years. as readers we are told a lot about the lottery, but not its exact purpose. what is the motivation for the townspeople to keep having the lottery year after year? dx Find an equation of the curve having all these properties. [3 points] . It is a solution to = 12x2 - 10. The point (0,1) is a point of inflection. The slope of the tangent line at (3,16.6) since gy(y, z) = 0, then it must be true that g(y, z) = h(z). this means that f(x, y, z) = 4xy2z3 h(z), and so fz(x, y, z) = h'(z). 1 pt 1 If R is the parallelogram enclosed by these lines: - 3 - 6y = 0, -2 - by = 5, 4x - 2y = 1 and 4a - 2y = 8 then: 1, 2d - dA 4.0 - 2y R Are you smarter than a second-grader? A random sample of 55 second-graders in a certain school district are given a standardized mathematics skills test. The sample mean score is x=49. Assume the standard deviation of test scores is -15. The nationwide average score on this test is 50. The school superintendent wants to know whether the second-graders in her school district have weaker math skills than the nationwide average. Use the a-0.01 level of significance and the P-value method with the TI-84 calculator. your pharmacy is selling a drug that costs $15 for a retail price of $25. what is the percent markup for this medication? (a) identify two regions in the body where oxygen levels are very high: (b) identify two regions where carbon dioxide levels are very high: indicate whether each statement describes elastic, inelastic, or unit elastic demand. a. when cowboy blues lowers the price of their blue jeans by 5.0 %, the number of jeans sold increases by 5.0 %. elastic inelastic unit elastic b. when cowboy blues lowers the price of their blue jeans by 54.0 %, the number of jeans sold increases by 28.0 %. elastic inelastic unit elastic c. when cowboy blues raises the price of their blue jeans by 51.0 %, the number of jeans sold decreases by 57.0 %. elastic inelastic unit elastic d. when cowboy blues lowers the price of their blue jeans by 27.0 %, the number of jeans sold increases by 41.0 %. elastic inelastic unit elastic e. when cowboy blues lowers the price of their blue jeans by 24.0 %, the number of jeans sold increases by 9.0 %. elastic inelastic unit elastic what two requirements are necessary for a conspirator to be liable for crimes committed by a co-conspirator?