Draw every stereoisomer for 1,2-difluoro-1,2-dimethylcyclopentane. Use wedge-and-dash bonds for the substituent groups, and be sure that they are drawn on the outside of the ring, adjacent to each other.

Answers

Answer 1

Answer:

See figure 1

Explanation:

In this question, we have to find first the chiral carbons on 1,2-difluoro-1,2-dimethylcyclopentane. Carbons 1 and 2. Then, using the Cahn–Ingold–Prelog priority rules. We can draw all the stereoisomers. If we have 2 chiral carbons we will have (\(2^n=2^2=4\)) 4 isomers. With this in mind we can have the R,R isomer; the S,S isomer; the S,R isomer, and the R,S isomer. We have to remember that:

Priority 1 = "F"

Priority 2= "C"

Priority 3= "CH2"

Priority 4 = "CH3"

I hope it helps!

Draw Every Stereoisomer For 1,2-difluoro-1,2-dimethylcyclopentane. Use Wedge-and-dash Bonds For The Substituent

Related Questions

A chemical equation is shown: C2H4 + O2 → CO2 + H2O According to the law of conservation of mass, how many atoms of oxygen exist in the products of this reaction? (3 points) 2 4 6 8

Answers

Answer:

6 oxygens on the product side

Explanation:

1) balance the equation:

C2H4 + 3O2 → 2CO2 + 2H2O

2) calculate the number of oxygens on the product side

2CO2=4

2H2O=2

According to the law of conservation of mass, there are 6  atoms of oxygen in the product of this reaction.

What is law of conservation of mass?

According to law of conservation of mass, it is evident that mass is neither created nor destroyed rather it is restored at the end of a chemical reaction .

Law of conservation of mass and energy are related as mass and energy are directly proportional which is indicated by the equation E=mc².Concept of conservation of mass is widely used in field of chemistry, fluid dynamics.

Law needs to be modified in accordance with laws of quantum mechanics under the principle of mass and energy equivalence.This law was proposed by Antoine Lavoisier in the year 1789.

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Is pyrophoric a chemical or physical property

Answers

Answer:

Pyrophoricity is a property of metals and oxides of lower oxidation states, including radioactive ones, in which they spontaneously ignite during or after stabilization.

A student applies a force to a box with a mass of 30 kg. If the student applies the same force to a box with a mass of 15 kg, which best describes the effect on the acceleration of the 15-kg box?

Answers

The effect on the acceleration of the 15-kg box would be that it would experience a greater acceleration than the 30-kg box.

Newton's second law

According to Newton's second law of motion, the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. Therefore, for a given force, an object with a smaller mass will experience a greater acceleration than an object with a larger mass.

In this scenario, if the student applies the same force to both the 30-kg box and the 15-kg box, the 15-kg box will experience a greater acceleration than the 30-kg box. This is because the smaller mass of the 15-kg box means that it has less inertia and requires less force to accelerate.

Therefore, the effect on the acceleration of the 15-kg box would be that it would experience a greater acceleration than the 30-kg box.

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what is the formula for Hydrophosphic acid? (options) (i have a test retake don’t let me down !)

what is the formula for Hydrophosphic acid? (options) (i have a test retake dont let me down !)

Answers

C. H3P

Why:

This is because there are 3 hydrogen molecules and one phosphorus

Milk of magnesia, which is an aqueous suspension of magnesium hydroxide, is used as an antacid in the reaction below. How many molecules of HCl would have to be present to form 34.52 g of MgCl₂?
Mg(OH)₂(s) + 2 HCl(aq) → 2 H₂O(l) + MgCl₂(aq)

Answers

Approximately 4.37 x 10^23 molecules of HCl would be required to form 34.52 g of MgCl₂.

To determine the number of molecules of HCl required to form 34.52 g of MgCl₂, we need to use the molar mass and stoichiometry of the balanced equation:

Mg(OH)₂(s) + 2 HCl(aq) → 2 H₂O(l) + MgCl₂(aq)

The molar mass of MgCl₂ is 95.21 g/mol.

First, we need to calculate the number of moles of MgCl₂ formed:

Moles of MgCl₂ = mass of MgCl₂ / molar mass of MgCl₂

Moles of MgCl₂ = 34.52 g / 95.21 g/mol

Moles of MgCl₂ = 0.363 mol

According to the balanced equation, the stoichiometric ratio between HCl and MgCl₂ is 2:1. Therefore, the moles of HCl required can be calculated as follows:

Moles of HCl = 2 * Moles of MgCl₂

Moles of HCl = 2 * 0.363 mol

Moles of HCl = 0.726 mol

To calculate the number of molecules, we need to use Avogadro's number, which is approximately 6.022 x 10^23 molecules/mol.

Number of molecules of HCl = Moles of HCl * Avogadro's number

Number of molecules of HCl = 0.726 mol * 6.022 x 10^23 molecules/mol

Number of molecules of HCl = 4.37 x 10^23 molecules

Therefore, approximately 4.37 x 10^23 molecules of HCl would be required to form 34.52 g of MgCl₂.

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Alka was making tea in a kettle. Suddenly she felt intense heat from the puff of steam gushing out of the spout of the kettle. She wondered whether the temperature of the steam was higher than that of the water boiling in the kettle. Comment. (2)​

Answers

It is likely that the temperature of the steam is higher than the temperature of the water boiling in the kettle. The intense heat felt by Alka from the puff of steam supports this observation.

In general, the temperature of steam produced from boiling water is higher than the temperature of the water itself. When water boils, it undergoes a phase change from a liquid to a gas, forming steam.

During this phase change, the water absorbs heat energy from the heat source, such as a stove or electric kettle, and converts it into the latent heat of vaporization.

The boiling point of water is 100 degrees Celsius (212 degrees Fahrenheit) at standard atmospheric pressure. At this temperature, the water molecules have enough energy to overcome the intermolecular forces and transition into the gaseous state.

However, steam is hotter than the boiling point of water because it contains additional heat energy in the form of latent heat. The heat energy absorbed during vaporization is stored as latent heat within the steam. As the steam gushes out of the spout of the kettle, it releases this latent heat energy, which can be felt as intense heat.

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A Basketball weighs approximately 2.35 kg. What is the mass of the basketball in grams?

Answers

Answer:

Explanation:

A Basketball Weigh in Grams? A 29.5 inch (75 cm) basketball typically weighs about 624 grams (g). A 28.5 inch (72.4 cm) basketball weighs about 567 grams (g).

ONE MINUTE PLSSSS!!! WILL GIVE BRAINLIEST
Carbon has an atomic number of 6 and an atomic mass of 12. If it is a neutral atom then it has 6 protons, ______ neutrons, and _____ electrons.

13 neutrons and 6 electrons
6 neutrons and 6 electrons
7 neutrons and 7 electrons
12 neutrons and 12 electrons

100 POINTS!!!!!!! <3

Answers

Answer:

6 neutrons and 6 electrons

Explanation:

I got it right ;) good luck

The liquid hydrogen/oxygen rocket will burn for about 8 minutes at a rate of 90,000 gallons of liquid hydrogen per minute. The density of liquid hydrogen is 70.85 g/L. How many moles of water vapor will be generated during the 8 minute burn of this rocket?

Answers

The number of moles of the water that was evaporated is  12083467.5 moles of water.

What moles of water is evaporated?

We know that the number of moles that we have can be gotten as the ratio of the mass to the number of moles of the object. Now we know that from the question, we have the volume of the hydrogen to be 90,000 gallons. We have to convert this volume to liters.

Given that;

1 gallon = 3.79 L

90,000 gallons  = 90,000 gallons  * 3.79 L/1 gallon

= 341100 L

Then we have the density of the hydrogen to be 70.85 g/L

Mass of the hydrogen =  70.85 g/L *  341100 L

= 24166935 g

Number of moles of the hydrogen reacted = 24166935 g/2 g/mol

= 12083467.5 moles

If 2 mole of hydrogen gives 2 moles of water

12083467.5 moles of hydrogen gives 12083467.5 moles of water

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For the given reactions determine if the entropy increases or decreases.

A) 2 KClO3 (s)⇌2 KCl (s)+3 O2 (g)

B) CoCl2 (s)+6 H2O (g)⇌CoCl2⋅6H2O

Answers

Entropy increases in reaction 1 due to increase in the number of particles while entropy decreases in reaction 2 due to decrease in the number of particles.

Entropy refers to the degree of disorderliness in a system. The higher the entropy, the more disorderly the system is and the lower the entropy, the less disorderly the system is. We must note that entropy increases with increase in the number of particles.

In the reaction,  2 KClO3 (s)⇌2 KCl (s)+3 O2 (g), entropy increases because one of the products is a gas and the number of particles increases from left to right. In the second reaction, CoCl2 (s)+6 H2O (g)⇌CoCl2⋅6H2O, entropy decreases because the number of particles decreases.

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Why KHPo4 ignore effective as a buffer but kh2po4 is not

Answers

KH2PO4 is a more suitable choice as a buffer because it has a greater buffering capacity due to the presence of the weak acid and its conjugate base.

KHPo4 is not considered an effective buffer compared to KH2PO4 due to its limited buffering capacity. The effectiveness of a buffer is determined by the concentration and dissociation properties of its conjugate acid-base pair.

KH2PO4 is a salt composed of the weak acid H2PO4- and its conjugate base HPO4^2-. In an aqueous solution, KH2PO4 can dissociate to release H+ ions from the H2PO4- component, which acts as a weak acid, and the HPO4^2- component can accept H+ ions, acting as a weak base. This allows KH2PO4 to effectively resist changes in pH when small amounts of acid or base are added to the solution.

On the other hand, KHPo4 consists of the strong acid H3PO4 and the weak base HPO4^2-. H3PO4 fully dissociates in water, providing a large concentration of H+ ions, making it difficult for the HPO4^2- to effectively act as a base and maintain pH stability.

Therefore, KH2PO4 is a more suitable choice as a buffer because it has a greater buffering capacity due to the presence of the weak acid and its conjugate base.

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why hydride ion is strong base than hydroxide ion?

Answers

Answer:

The hydride ion,H−is a stronger base, so it will abstract a proton from the water. As the water will give protons, so water will work as an acid and an acid-base reaction will take place. Hydride ions get protons from water and form hydrogen gas and hydroxide ions.

Sodium hydride is the chemical compound with the empirical formula NaH. This alkali metal hydride is primarily used as a strong yet combustible base in organic synthesis. NaH is a saline (salt-like) hydride, composed of Na+ and H− ions, in contrast to molecular hydrides such as borane, methane, ammonia, and water.

3. How much white soft paraffin and zinc oxide is required to make 300g of the product? Rx Zinc oxide...12% Salicylic acid...1% Starch...15% White soft paraffin q.s to 100%​

Answers

White soft paraffin is used as a barrier cream, forming an oil layer on the skin's surface to prevent water from evaporating.

Define zinc oxide?

Zinc oxide is a topical medication used to treat or prevent minor skin irritations such as burns, cuts, and diaper rash. Some items can be used as sunscreen.

Zinc Oxide which is also known as Calamine or Zinc White is an inorganic compound. It basically occurs naturally as the mineral zincite. It is mostly manufactured synthetically.

Zinc oxide powders are commonly found in foot powders and makeup. It is also used as an ointment in diaper rash and sun protection products.

Zinc oxide is a sunscreen ingredient derived from minerals. Zinc oxide is ideal for both daily and intense sun exposure due to its ability to block the broadest spectrum of UV light. It protects against both UVA and UVB rays.

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Which of the following statements correctly describes density?

Answers

Answer:

Helper

Explanation:

is the expaltin of the explatin

You have a 50.0g samples of silver, a 50g sample of iron, and a 50g sample of water. You add 100 J of energy to each sample. Which substance will have the largest resulting temperature change? Which substance will have the smallest temperature change?

Answers

Answer:

Silver.

Explanation:

Hello!

In this case, we can consider the specific heat as the property that we can analyze in order to answer to this question. In such a way, as the specific heat is known as the energy required to modify the temperature of 1 g of the substance by 1 °C, since the masses of all the substances are the same, we can that their specific heats are respectively 0.240, 0.444 and 4.184 J/(g°C), from the equation:

\(Q=mCp\Delta T\)

We can see that the higher the specific heat (Cp) the lower the change in temperature considering their inversely proportional relationship. However, as 100 J of energy is applied to all the substances, we can see that silver will exhibit the largest temperature change because a higher change is needed to fit with the provided energy.

Best regards.

Where do most organisms that live in water get oxygen from?Give a word, not a formula.

Answers

Answer:

Surely with water

Ok, but how?

There are many Hydrogen Bond between H2O moleculs and london bonds. When fishes take water with their gill,they are broke london bonds. And they can take their needs, Oxygen. Only this.

Good luck :D

pls help ive only found the answers for “from yellow to blue”

pls help ive only found the answers for from yellow to blue

Answers

Answer:

C. and D.

Explanation:

As the problem states, a solution containing bromothymol blue would turn from blue into yellow whenever CO₂ gas is added to it.

When a person exhales, their breath contains CO₂. Thus blowing air into the solution through a straw would add CO₂ to the solutionYeast cells react with sugar and water and produce alcohol, CO₂ and energy; thus turning the solution yellow.

Is A fireplace poker glows red when you heat it in the fire a Chemical or
Physical change?

Answers

A fireplace poker glowing red when you heat it in the fire is referred to as a physical change.

What is Physical change?

This change is a reversible one in the physical properties of a substance such as the size, color etc. Physical change doesn't alter or change the chemical composition of a substance and no new products are formed in this process.

A fireplace poker glowing red when you heat it in the fire doesn't change the composition and is reversible when allowed to cool down which is why physical change was chosen as the most appropriate choice.

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True or False? pH can only be between 1 and 14.TrueFalse

Answers

Answer: The sentence given is false.

Explanation:

The question requires us to determine if the sentence given by the question ("pH can only be between 1 and 14") is true or false.

The pH value is matematically defined as:

\(pH=-log\lbrack H^+\rbrack\)

where [H+] is the concentration of H+ ions in solution.

If the concentration of H+ is too high, such as in an acid battery, the pH of a solution can reach 0. However, its value cannot be negative. Therefore, we can say that the pH scale ranges from 0 (very acidic medium) to 14 (very alkaline medium).

Considering the sentence given, we can say that it is false.

What is true of spontaneous reactions?
O They are indicated by a negative change in Gibbs free energy.
O They have a positive value of AS.
O They are instantaneous.
O They always release heat.

Help 20pts

Answers

1. They are indicated by a negative change in Gibbs free energy.

Explanation: Spontaneous reactions are those that occur without any external input of energy. A negative change in Gibbs free energy (ΔG) indicates that a reaction is spontaneous. The other options do not always hold true for spontaneous reactions. The value of entropy change (ΔS) can be positive or negative, spontaneous reactions are not necessarily instantaneous, and they do not always release heat.

ammonia chemically reacts with oxygen gas to produce nitric oxide and water. what mass of oxygen gas is consumed by the reaction of 8.4 g of ammonia?

Answers

the mass of nitric oxide produced by the reaction of 8.4 g of oxygen gas is 4.32 g. ammonia chemically reacts with oxygen gas to produce nitric oxide and water.

What oxygen is used for?

Common uses of oxygen include production of steel, plastics and textiles, brazing, welding and cutting of steels and other metals, rocket propellant, oxygen therapy, and life support systems in aircraft, submarines, spaceflight and diving.

Why is oxygen important?

Oxygen helps organisms grow, reproduce, and turn food into energy. Humans get the oxygen they need by breathing through their nose and mouth into their lungs. Oxygen gives our cells the ability to break down food in order to get the energy we need to survive.

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what are the two main phases of cell division

Answers

Answer:

Mitosis meiosis

Explain:

Mitosis is where the cell splits into 2 more cells (diploid)

Meiosis is where the cell splits into 2, and then split again, making 4 (haploid)

) Chromate/Dichromate Equilibrium. Yellow chromate ion reacts with hydrogen ion to form (by condensation and loss of H2O) the orange dichromate ion:

Answers

Answer:

Explanation:

The Chromite ore is used for the production of Chromate/dichromate formation.

\(4FeCr2O4 + 8Na2CrO4+7O2 \\\) →\(8NaCrO4 +2Fe2O3 +8CO2\\yellow\)

so\(Na2CrO4\) is called Chromite ore which is of yellow color.

\(Na2CrO4 +2H^+\) → \(Na2CrO4 +2Na^+ +H2O\)

                                \(Orange\)

so when sodium chromate is reacted with hydrogen ion it forms sodium dichromate which is of orange color

Now

\(Na2Cr2O7+2KCl\)→\(K2Cr2O7 + NaCl\)

The chromate and dichromate are interconvertible in aqueous solution depending upon the PH of solution

Acid medium: \(Cr2O4^2-\) \(2H^+\)→\(Cr2O7^2-\)\(+H2O\)

Base:\(Cr2O7^2- +2OH^-\)→  \(CrO4^2- +H2O\)

Hence Chromate and dichromate are interconvertible and hold and equilibrium.

¿What is a sulphurous gas?​

Answers

¿What is a sulphurous gas?

Sulfur dioxide (SO) is a colorless gas with a pungent odor particular. Also called sulfite, it was used from centuries ago and its purpose is to preserve the aromas of the wine and the elimination of bacteria. It is also used in preservatives and antioxidants, and the food industries

They use it in dried fruit juices, jams and juices.

A group of students are studying the movement of thermal energy. The teacher asks the students to place the palms of their hands flat on their tabletops and describe what is happening. Which statement below best describes why the table feels cold?

Answers

Answer:

The table feels cold because it is at a lower temperature than the students' hands, and thermal energy is being pulled into the table.

Explanation:

The thermal conductivity of the table is low and so it feels cold.

What is Thermal Conductivity?

Thermal conductivity is the measure of the ability of a material to conduct heat.

The rate at which heat is transported by conduction through a material's unit cross-section area when a temperature gradient exits perpendicular to the area is known as thermal conductivity.

Thermal energy is the energy contained within a system that accounts for the temperature of the system.

The human body cannot measure the temperature of any object but it can feel the difference in the temperature.

If one body is at 20 degrees Celsius, and an object is at 30 degrees Celsius, then the body will feel hot when the object is touched.

Similarly, when the students touched the table, the conductivity of the wood is very low, and it feels cold.

The thermal energy of the table is lower than the thermal energy of the body.

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Club soda is an aqueous solution of carbon dioxide. A sample of club soda is titrated with 0.04202M NaOH(aq) according to the reaction equation below:
CO2(aq)+2NaOH(aq)→Na2CO3(aq)
If it takes 32.14 mL of 0.04202M NaOH(aq) to react with a 25.00 mL sample of club soda, what is the concentration of CO2 in club soda (in g/L )?

Club soda is an aqueous solution of carbon dioxide. A sample of club soda is titrated with 0.04202M NaOH(aq)

Answers

The concentration of CO2 in club soda is approximately 1.1964 g/L.

To find the concentration of CO2 in club soda, we need to use the stoichiometry of the reaction and the volume and concentration of the NaOH solution used.

The balanced equation for the reaction is:

CO2(aq) + 2NaOH(aq) → Na2CO3(aq)

From the stoichiometry of the equation, we can see that 1 mole of CO2 reacts with 2 moles of NaOH. Therefore, the moles of CO2 can be calculated using the volume and concentration of NaOH solution used.

Given that 32.14 mL of 0.04202 M NaOH solution was used, we can calculate the moles of NaOH:

moles of NaOH = volume (L) × concentration (M)

moles of NaOH = 32.14 mL × 0.04202 mol/L

moles of NaOH = 0.001351 mol

According to the stoichiometry of the equation, 1 mole of CO2 reacts with 2 moles of NaOH. Therefore, the moles of CO2 can be calculated as:

moles of CO2 = (moles of NaOH) / 2

moles of CO2 = 0.001351 mol / 2

moles of CO2 = 0.0006755 mol

Now, we need to convert the moles of CO2 to grams. The molar mass of CO2 is approximately 44.01 g/mol.

mass of CO2 = moles of CO2 × molar mass of CO2

mass of CO2 = 0.0006755 mol × 44.01 g/mol

mass of CO2 = 0.02979 g

Finally, we need to express the concentration of CO2 in club soda in g/L. We are given that the sample of club soda used is 25.00 mL.

concentration of CO2 = (mass of CO2) / (volume of club soda in L)

concentration of CO2 = 0.02979 g / (25.00 mL × 0.001 L/mL)

concentration of CO2 = 1.1964 g/L

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6. A sample of a gas at 77°C and 1.33 atm occupies a volume of 50.3 L. How many moles of the gas are present? (Hint: Since moles have been asked, which equation has the moles listed in the equation. Use that to solve this problem).

Answers

The number of moles of the gas at 77°C and 1.33 atm occupies a volume of 50.3 L is 2.35 moles. It can found with the help of Ideal gas equation.

What is Ideal Gas equation ?

The ideal gas equation is formulated as : PV = nRT.

In this equation, P refers to the pressure of the ideal gas, V is the volume of the ideal gas, n is the total amount of ideal gas that is measured in terms of moles, R is the universal gas constant, and T is the temperature.

Given ;

Pressure = 1.33 atmVolume = 50.3 ltrTemperature = 77 (+273 k) = 350K

We know ;

Gas constant (R) = 0.081 L atm/mol K

Formula used ;

n = PV / RT

n = 1.33 x 50.3 / 0.081 x 350k

  =  2.35 moles.

Hence, The number of moles of the gas at 77°C and 1.33 atm occupies a volume of 50.3 L is 2.35 moles

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The molecular formula for glucose is C6H12O6. What would be the formula for a polymer made by linking ten glucose molecules together by dehydration reactions?
A
C20H120060
B
C60H100050
C
C60H102051
D C60H111051

Answers

The correct option is (a) i.e. C20H120O60. If the molecular formula for glucose is C6H12O6. C20H120O60 be the formula for a polymer made by linking ten glucose molecules together by dehydration reactions.

A chemical process known as dehydration reaction synthesis unites two smaller molecules by removing atoms from each of them. Based on the structure of hydrocarbons, aliphatic and aromatic organic substances can be further subdivided. Several chemical reactions involving organic molecules can result in the formation of new compounds with altered atom-bonding arrangements. Others just entail the displacement or substitution of atoms, while some chemical reactions result in the synthesis of molecules. Synthesis or combination reactions combine two chemicals to form a single molecule. For instance, when Mg and O2 are mixed, MgO is produced (magnesium oxide). "Dehydration reactions are chemical processes in which a water molecule is eliminated from the reactant molecule. The technique of mixing two chemicals while eliminating water molecules is known as dehydration synthesis. This is because "dehydration" is defined as "losing water," while "synthesis" is defined as "creating a new material." As a result, "dehydration synthesis" refers to the process of "losing water" while creating new chemicals.

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how to find moles, when given molar mass

Answers

To find moles when given the molar mass, you can use the concept of molar mass as a conversion factor.Molar mass represents the mass of one mole of a substance, expressed in grams per mole (g/mol).

To calculate moles, divide the given mass of the substance by its molar mass. The equation is:

moles = mass / molar mass

For example, if you have 56 grams of carbon dioxide (CO2) and want to find the number of moles, you need to know the molar mass of CO2, which is approximately 44 g/mol. Using the equation above:

moles = 56 g / 44 g/mol

moles ≈ 1.27 mol

Therefore, there are approximately 1.27 moles of carbon dioxide in 56 grams.

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I need help with this please fast

I need help with this please fast

Answers

4) The volume of the HCl used is 9.500 mL while the volume of the NaOH used is 3.800 mL.

5) Molarity of sodium hydroxide is obtained from; Molarity of HCl * 1/2

What is titration?

By reacting an unknown component with a known quantity of a different chemical known as a titrant, titration is a laboratory procedure used to measure the concentration of an unknown substance, often a solute dissolved in a liquid.

The endpoint of a titration can be detected in a number of ways, depending on the specific titration being performed.

4)

Volume of the Acid used = Initial reading - Final reading = 25.00 - 15.50 = 9.500 mL

Volume of the base used = 8.80 - 5.00 = 3.800 mL

5)

We know that the mole ratio is 1:2 and the implication of this is that the set up to obtain the molarity of the sodium hydroxide solution is Molarity of HCl * 1/2

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In the following exercises, find the Taylor series of the given function centered at the indicated point.141, 1+x+x + x143. cos x at d = 2x The temperature yesterday was -14 degrees Fahrenheit. Today the temperature rose 14 degrees Fahrenheit . What is the current temperature? Prior to surgery, some routine lab work is done. The results show that Jill has leukocytosis. This is 100 points..Draw a Political Cartoon of Abraham Lincoln elected president. Or John Brown raids Harpers Ferry. Once you did it, upload it to your own brainly like a question so i can save it. Unless u can send it as an image. Thank you. Calculate the difference in binding energy per nucleon for the isobars 23/11 Na (23 being the mass number and 11 being atomic number) and 23/12 Mg. The first recorded account of ice cream in the United States was in 1744. In a written letter, a guest of Maryland Governor William Bladen detailed a delicious frozen dessert featuring strawberries and milk. The invention of electricity and manufacturing meant that ice cream could be made and kept much more easily, and the popularity of the frozen treat grew quickly across the country.To start, ice cream was served in a dish. It wasn't until the late 19th century that the ice cream cone made its first appearance. As with ice cream itself, there has always been some controversy over who the true inventor of the ice cream cone was. It is claimed that in 1896, a man by the name of Italo Marchiony invented the ice cream cone in New York City. He was granted a patent for this cup-shaped invention in 1903. Then, in 1904, ice cream was served in a true conical-shaped cone by Ernest Hamwi at the St. Louis World Fair. Whoever the true inventor was, the discovery caught on, and by 1924, Americans were eating over 200 million ice cream cones a year!What are two main ideas presented in the passage? aTechnology allowed ice cream to be made more efficiently, and Ernest Hamwi invented the first ice cream cone. bTechnology was developed to meet the demands for ice cream, and there are disagreements about who invented the ice cream cone. cThe invention of electricity allowed ice cream to be easily made, and ice cream was first served in a dish. dThe Maryland Governor was the first person to have strawberry ice cream, and there are disagreements about who invented the ice cream cone. 50 1. Consider the following LP model: max 2 = 3x + 2x2 s.t. 2x + x 100, x + x 80, * 40, x1, x > 0. (a) Write the dual of the above model. (b) Solve either primal or dual problem with a technique of your choice. Then, show that the optimal objective function values of primal and dual problems are equal. Note that you shouldn't solve both problem from scratch. Use your knowledge of geography and economics to suggest reasons for the large Latinopopulations in the Southwest, in Florida, and in certain states of the middle Atlantic region and eastnorth central regions.EXPLAINNNN make a graph on f(x)=3/2(x+1)(x5) a chemical equation is a statement using chemical that expresses both the identities and the relative of the reactants and products involved in a chemical or physical change. multiple choice question. numbers; masses formulas; quantities formulas; masses names; quantities (15)Baffled by the idea of discarding perfectly good soap. (16) Kayongo asked the hotel for an explanation.What is the correct way to write sentences (15) and (16)?a) He was baffled by the idea of discarding perfectly good soap, Kayongon asked the hotel for an explanation.b) While baffled by the idea of discarding perfectly good soap. Kayongon asked the hotel for an explanation.c) Baffled by the idea of discarding perfectly good soap, Kayongon asked the hotel for an explanation.d) The sentences are written correctly. Janesa has 24 coins in her pocket worth exactly $1.00. She tells her younger brother Jackson that he can have the coins if he correctly guesses how many of each coin she has. She gives him the hint that there are only nickels and pennies. Enter the correct answer in the box. Write your answer in the form y - mx + b, using the appropriate inequality symbol in place ofthe equal sign.What inequality is shown in the graph? 3(47)=27How do I solve this