the decay rate for a radioactive isotope is 5.4 percent per year. find the half-life of the isotope.

Answers

Answer 1

The half-life of a radioactive isotope is the amount of time it takes for half of the atoms in a sample to decay.

What is radioactive isotope?

A radioactive isotope is an unstable form of an element that emits radiation as it decays. It is produced when a neutron is added to the nucleus of an atom, making it unstable and prone to radioactive decay. Radioactive isotopes are used in a variety of medical, scientific and industrial applications. In medicine, they are used to diagnose and treat diseases, while in industry they are used to detect flaws in materials. In scientific research, they are used to measure age and composition of materials.

Therefore, the half-life of this isotope is 12.75 years, since it takes 5.4 percent of the atoms in a sample to decay per year. This means that if we start with a sample of 100 atoms, after 12.75 years, only 50 atoms would remain in the sample. After 25.5 years, only 25 atoms would remain, and so on. This can be calculated by taking the natural log of 2 and dividing it by the decay rate of the isotope, which in this case is 5.4%.

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Related Questions

You want to make 100mL of a 0.1M KCl solution. How many grams of KCl are needed? Note that the compound consists of potassium and chlorine, not potassium, carbon and iodine.

1). 74.5g
2). 7.45g
3). 0.745g
4). 0.0745g

Answers

According to molar concentration, 0.7455 g of  KCl are needed to make 0.1 M KCl solution.

What is molar concentration?

Molar concentration is defined as a measure by which concentration of chemical substances present in a solution are determined. It is defined in particular reference to solute concentration in a solution . Most commonly used unit for molar concentration is moles/liter.

Molar concentration is calculated by the formula, molar concentration=mass/ molar mass ×1/volume of solution in liters.

In terms of moles, it's formula is given as molar concentration= number of moles /volume of solution in liters.

Substituting values in 1st formula mentioned,mass=molarity×molar mass×volume in liters=0.1×74.55×0.1=0.7455 g.

Thus,0.7455 g of  KCl are needed to make 0.1 M KCl solution.

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how can i determine salt base and acid

Answers

Answer: You can do this by using ph strips. It should determine which is a salt base and an acid!

why must the alkyl halide product be dried carefully with anhydrous calcium chloride before the distillation?

Answers

the alkyl halide product be dried carefully with anhydrous calcium chloride before the distillation because it is a polar immiscible compound that dissolves large amounts of water without rehydrating the alkyl halide to form an alcohol.

Alkanes with one or more halogen substituents are referred to as haloalkanes or alkyl halide. They are a subset of the broader class of halocarbons, though this distinction is rarely made. Haloalkanes are widely used in industry. Haloalkanes are another name for alkyl halides. Alkyl halides are compounds formed by replacing one or more hydrogen atoms in an alkane with halogen atoms (fluorine, chlorine, bromine or iodine). The new force of attraction between alkyl halides and water molecules is weaker than the forces of attraction between alkyl halides and water molecules. As a result, despite being polar, alkyl halides are immiscible with water.

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arrange the organic compounds from most soluble in water to least soluble in water.

Answers

The increasing and decreasing order of solubility in water is      C₆H₅NH₂<(C₂H₅)NH<C₂H₅NH₂ .

What is solubility, for instance?

A typical illustration of a solution is the addition of sugar cubes to a coffee or tea drink. Solubility is a quality that aids in the dissolution of sugar molecules. Thus, the ability of a material (solute) to dissolves in a certain solvent may be characterized as solubility.

Briefing :

They can establish hydrogen bonds with water, the lower alkyl alkenes are soluble in water. However, because the hydrophobic alkyl portion of amines grows larger, their solubility diminishes as their molar mass increases.

Compared to primary amines, secondary alcohols have less hydrogen bonding than primary amines do.

In light of this, secondary amines are less soluble than primary amines.

Due to the greater hydrocarbon constituent, which helps to slow down hydrogen bond formation, aromatic amines are insoluble in water.

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you have a solution that is 5.75 wt% licl in water. what mass of solution in grams contains 1.60 g of licl? assume that the density of the solution is 1.00 g/ml.

Answers

1.60 g of LiCl is present in a bulk solution of 27.8 grams.

[tex]\frac{1.60 g LiCl * 100 g Sol}{5.75 g Licl} \\[/tex] results in a mass of a solution of 27.8 g.

In order to describe a component in a specific combination or to convey a concentration, one uses the term "mass percent." The mass percentage used to describe the solution composition indicates the mass of solute contained in a given mass of solution. Mass or moles are used to express how much solute is present. The grams of solute per gram of solution is how a solution's mass percent is defined.

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what is the condition produced when a foot is exposed to water or mud that is very cold, but above freezing tempuratures?

Answers

Trench foot is the condition produced when a foot is exposed to water or mud that is very cold, but above freezing temperatures.

What is trench foot?

Trench foot (sometimes also called immersion foot) is prolonged exposure to moist or wet environments can cause tissue damage in the soles of the feet.

Tissue damage in the trench foot does not cause the foot tissue to freeze, so it is referred to as a non-freezing injury. Trench foot can occur when the soles of the feet are wet and exposed to temperatures of 0°C to 15°C for a long time.

Trench foot is characterized by swelling of the feet, pallor, tingling, numbness, patches on the skin and itching. This happens because in the trench foot there is damage to the nerves, blood flow, muscles, and skin on the soles of the feet. The soles of the feet can also blister or form bubbles filled with water which is very at risk of causing infection.

Trench foot is generally treated by warming the soles of the feet, such as holding them close to a fire or drying them. However, it can cause redness, pain, and sometimes very light sensitivity which can last six to ten weeks.

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WILL GIVE BRAINLIEST!! pls help
(04.05 MC)


Read the chemical equation shown.


3SO2 + 2HNO3 + 2H2O → 3H2SO4 + 2NO


Which statement is true about this chemical equation?


A) H (hydrogen) was oxidized and S (sulfur) was reduced.

B) H (hydrogen) was reduced and N (nitrogen) was oxidized.

C) S (sulfur) was oxidized and N (nitrogen) was reduced.

D) S (sulfur) was reduced and N (nitrogen) was oxidized.

Answers

Based on the chemical equation of the reaction, S (sulfur) was oxidized and N (nitrogen) was reduced.

The correct option is C.

What is a redox reaction?

A redox reaction is a name for a reduction-oxidation reaction.

In a redox reaction, oxidation and reduction occur during the reaction.

Oxidation involves a loss of electrons and results in an increase in the oxidation number of the oxidized species.

Reduction involves a gain of electrons and results in a decrease in the oxidation number of the reduced species.

Considering the given equation of reaction:

3 SO₂ + 2 HNO₃ + 2 H₂O → 3 H₂SO₄ + 2 NO

The oxidation number of nitrogen changes from +5 in HNO₃to +2 in NO. Hence, it is reduced.

The oxidation number of sulfur changes from +4 tin SO₂ to +6 in H₂SO₄. Hence it is oxidized.

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The name of the compound TiS2

Answers

Answer: Titanium disulfide

Explanation:

I remember learning this in class. The TiS2 name is Titanium disulfide. If I am wrong, I am sorry it has been a long time since I learned this.

Answer: titanium disulfide

Explanation:

if you weigh out 0.205 g of salicylic acid, what is the theoretical yield for aspirin?
a. 0.157 g
b. 0.267 g
c. 0.134 g
d. 0.0786 g
e. none of the above choice

Answers

Theoretically, 0.267 g of aspirin will be produced from 0.205 g of salicylic acid.

given: 

the salicylic acid weighs 0.205 g.

the salicylic acid's molar mass is 138.12 g/mol.

the amount of acidic salicylic moles = [tex]\frac{mass}{molar mass}[/tex] = [tex]\frac{0.205}{138.12}[/tex]=0.001484 mol

One mole of aspirin is equivalent to one mole of salicylic acid.

0.001484 mol of the salicylic acid = 0.001484 mol of aspirin

the molar mass of aspirin = 180 g /mol

the mass of aspirin = moles × molar mass

= 0.001484 × 180  = 0.267 g

Thus the theoretical yield = 0.267 g.

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Acid rain occurs in some regions on Earth and has a negative impact on plants and animals. Normal rainwater
has a pH between 5.5 and 6. Which of the following is most likely to be the pH of rainwater that is classified as
acid rain?
O pH above 7
O pH of 7
O pH of 6
O pH below 5

Answers

Some parts of the world experience acid rain, which harms both plants and animals. Rainfall with a pH below 5 is referred to as acid rain.

What is acid rain?

When chemicals like sulfur dioxide and nitrogen oxide are released into the atmosphere, a chemical reaction occurs that leads to acid rain. These substances have the ability to ascend very far into the sky, where they combine and react with oxygen, water, and other chemicals to produce acid rain, which is a more severe type of ozone pollution.

Is acid rain a good or harmful thing?

Acid rain has a negative impact on agriculture, vegetation, and animals. Every nutrient required for plant growth and life is washed away

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Which of the following best describes a chemical Reaction? A. Chemical Reactions involve changing one or more substances into one or more different substances. B Chemical Reactions involve regrouping atoms or ions to form other substance. C. Chemical Reaction is the process wherein matter will not undergo chemical change. D, Chemical Reaction can be represented by using a chemical equation.â

Answers

The correct answer is chemical reactions involve changing one or more substances into one or more different substances.

Hope this helps. Please give brainliest I need five more

calcium chloride is dissolved in a beaker of water. the beaker feels warm to the touch and the temperature reading of a thermometer in the beaker rises. is this exothermic or endothermic?

Answers

when calcium chloride was dissolved in water, the system released heat into the surroundings, the flask, and thus the flask felt hot. This is an example of an exothermic reaction.

calcium chloride chemical processes known as exothermic reactions result in heat production. We described the heat flow q as negative when heat is emitted from the system to its surroundings. Therefore, the H of reaction for exothermic processes is negative. Endothermic chemical reactions are those in which the reactants take in heat energy from the environment to create products. A cooling effect results from these events because they cause calcium chloride their immediate surroundings to become cooler. The local environment warms up as a result of an exothermic process that releases heat. A process known as endothermy removes heat from the environment and cools it.

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Good luck on your finals!

Answers

I know, it’s so stressful. I haven’t had any sleep because I have to caught up with my seven classes :(
THANKS SO MUCH YOU TOO!

how many grams of strontium chloride will be needed to make 250 ml of a 0.100 srcl2 aqueous csolution? the formula mass of srcl2 is 158.52 g/mol

Answers

Grams of SrCl2 required to make 250 ml of a 0.100 srcl2 aqueous solution is 6.76 g.

We start by calculating the number of moles of SrCl2 in 558 mL of a 0.100 M solution.

0.025 mol SrCl2 per 1 liter (mol SrCl2=0.250 0.1 mol)

We can convert the above amount from moles to grams using the molar mass of SrCl2.

0.025 mol SrCl2 158.53 g1 mol

SrCl2 = 3.96 g SrCl2

MW SrCl2 = 158.53 gmol

The resulting bulk is made up entirely of solute. We calculate the mass of solid mixture required as given, assuming that the sample of SrCl2 we have is 58.6% by weight.

Mass of the solid mixture = mass of the solute/mass% ×100,

=3.96g / 58.6 ×100,

=6.76 g SrCl2.

Thus, we require 6.76 g of a solid SrCl2 mixture that is 58.6% Sr by weight.

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how long would a constant current of 4.5 amperes to produce 15 g of chromium from chromium iii sulfate solution

Answers

A constant current of 4.5 amperes to produce 15 g of chromium from chromium iii sulfate solution is t = 5.15 hours.

Calculation:-

From faraday Law

w---weight= 15g

E ---equivalent wt of Cr(III) =17.33

i----current = 4.5amp

t--- time =?

W = ( E x i  x t )/ 96,500

15 = (17.33 x4.5 x t) /96,500

t = 18561.26 sec

t = 309.35min

t = 5.15hours

Chromium is an essential trace element that can improve insulin sensitivity and improve protein carbohydrate and fat metabolism. It is a trace metal element required by humans. In addition to its effects on glucose-insulin and lipids metabolism chromium has been reported to increase lean body mass and decrease body fat percentage which may lead to weight loss in humans.

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Ill in the blank with the correct number to balance the equation: ___KClO3 → 2KCl 3O2. (Enter only a whole number. )

Numerical Anwer Expected!

Anwer for Blank 1:

Answers

Correct number to balance the equation: ___KClO3 → 2KCl 3O2 is "2".

We obtain KCl and oxygen gas from the breakdown of potassium chlorate (KClO3).

1.5 moles of O2 gas and one mole of KCl are produced from one mole of KClO3.

Therefore, the response will be:

KCL)3 - - > KCL + 3/2 O2

The entire equation will be multiplied by two in order to transform the fractional coefficient to a whole number.

2X [ KCLO3 - - > KCL + 3/2 O2 ]

A balanced equation will therefore be:

2KCLO3 - - > 2KCL + 3 O2

KClO3's coefficient is therefore "2".

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Question 4
Write the name and formula of the compound made of magnesium and fluorine.

Answers

The compound made of magnesium and fluorine is magnesium fluoride and the chemical formula is MgF₂.

What is a chemical compound?

Chemical compound in chemistry is any substance formed by the union of two or more chemical elements in a fixed ratio, the union being a chemical bond.

According to this question, magnesium and fluorine are two chemical elements. When they combine via a chemical bond, the compound formed is termed magnesium fluoride.

Magnesium fluoride is a chemical compound with chemical formula, MgF₂.

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Which phrase describes a risk associated with producing energy in a nuclear power plant?
a. depletion of atmospheric hydrogen
b. depletion of atmospheric carbon dioxide
c. production of wastes needing long-term storage
d. production of wastes that cool surrounding water supplies

Answers

Option C - Production of wastes needing long-term storage describes a risk associated with producing energy in a nuclear power plant.

                         

Electricity is produced by nuclear fission reactions in nuclear power plants. A radioactive nucleus with a large atomic mass is blasted during a nuclear fission process. As a result, the nuclear structure breaks down.

Energy is produced as a result of the widespread imperfection between the reactant and the product.

The daughter element produced in this process might also have radioactive properties. These substances have a very long half-life.

Therefore, in order to reduce the risk of radioactive contamination, this waste product needs to be stored safely for a long time.

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2. In the reaction NO+NO₂ N₂O3, an experiment finds equilibrium concentrations of [NO] = 3.8 M, [NO₂] = 3.9 M, and [N203] = 1.3 M. What is the equilibrium
constant K K for this reaction?

Answers

The equilibrium concentration, Kc for the reaction is: 0.088.

What is equilibrium concentration?

A chemical reaction is considered to be in a state of chemical equilibrium when both the reactants and the products are in a concentration that does not change over time anymore. The forward response rate and the backward reaction rate are equal in this condition.

The presence of the chemicals in equal proportions is not a requirement for equilibrium. The fact that both the forward and backward reactions proceed at the same pace indicates that the reaction has progressed to a stage where the concentrations of the reactant and product remain constant throughout time.

Kc= concentration  of  product  divided  by  concentration   of  reactant

NO +  NO₂  →  N₂O₃

or, Kc = N₂O₃ /  (No) (NO₂)

or, Kc= ( 1.3 )/{ (3.9) ×(3.8) }

or, Kc=0.088

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write the chemical equation that describes the reaction of room temperature titanium tetrachloride with water vapor to produce a titanium dioxide smokescreen. include phases.

Answers

To shed light on the process by which titanium dioxide (TiO2) nanoparticles are formed, titanium tetrachloride (TiCl4) hydrolysis has been investigated.

What takes place when TiCl4 is dissolved in water?

Hydrogen chloride (HCl) gas, which is extremely caustic and hazardous, is known to be released violently when TiCl4 reacts with water. The estimate of the scope and gravity of the effects of large accidents that have been identified, such as an unintentional spill of TiCl4, is, however, not shared by the industry.

Why is room temperature titanium chloride liquid?

An alternative strategy (which is the opposite of the solution above) would be to assert that since metal chlorides are often ionic, titanium chloride must be a tiny (covalent) molecule with weak molecular interactions if it is a liquid at room temperature.

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calculate the number of moles of magnesium, chlorine, and oxygen atoms in 2.70 moles of magnesium perchlorate, mg(clo4)2 .

Answers

The number of moles of magnesium, chlorine, and oxygen atoms in 2.70 moles of magnesium perchlorate is 2.70, 5.40, 21.60.

The formula of the compound is Mg(ClO​​​​4)2.

From the formula, we can see that 1 molecule of Mg(ClO4)2 contains 1 atom of Mg, 2 atoms of Cl and 8 atoms of O.

So 2.70 mol Mg(ClO4)2  contains

1 * 2.70 mol Mg = 2.70 mol Mg

2 * 2.70 mol Cl = 5.40 mol Cl

8 * 2.70 mol O = 21.60 mol O

So, the required answer is 2.70, 5.40, 21.60.

Therefore, the number of moles of magnesium, chlorine, and oxygen atoms in 2.70 moles of magnesium perchlorate is 2.70, 5.40, 21.60.

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Please hurry its urgent
Describe the findings at the Kewalo Basin Marine Mammal Laboratory and discuss what these findings suggest about dolphin intelligence.

Answers

Answer:

One of the key findings of the Kewalo Basin Marine Mammal Laboratory is that dolphins have complex social behaviors and are able to form strong bonds with other dolphins. They are able to communicate with each other using a variety of vocalizations and gestures, and they are also able to learn and mimic the behaviors of other dolphins.

Overall, the findings of the Kewalo Basin Marine Mammal Laboratory suggest that dolphins are highly intelligent animals with advanced social and cognitive abilities. These findings highlight the need for further research on dolphin intelligence and the importance of protecting these intelligent and fascinating animals.

predict the charges of the monatomic (single-atom) ions formed by these main-group elements.

Answers

Magnesium, Aluminum, Strontium, and Nitrogen's monatomic ions have respective charges of +2, +3, +2, and -3.

How are the ions of the magnesium, aluminium, strontium, and nitrogen atoms charged?

The valency of the atom is what determines how charged an ion is.

The amount of electrons the atom gained or lost during the process of forming an ion is indicated by the charge on the ion.

The group an element belongs to determines the charge of an ion.

As a result, the monatomic ions of magnesium, aluminium, strontium, and nitrogen have respective charges of +2, +3, +2, and -3.

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Complete Question

Predict the charge on the monatomic ions formed from the following atoms in binary ionic compounds in the following order: Magnesium, Aluminum, Strontium, and Nitrogen.

how does the number of atoms in a 27.5-gram gold ring compare to the number in a chromium ring of the same mass?

Answers

The 0.322335 number of atoms in a 27.5-gram gold ring compare to the number in a chromium ring of the same mass.

no of atoms = 27.5 /197 *N

no of atoms of copper = 27.5 /63.5 *N

ratio = 0.3223

N gold = no. of moles * 6.022*10^23  = (27.5/196.96 ) *6.022*10^23

N Copper = no. of moles * 6.022*10^23 = (27.5/63.54 ) *6.022*10^23

=> N gold/N copper =63.54/196.96  = 0.322

no. of moles of gold = 27.5/197

no. of moles of copper = 27.5/63.5

Now, no, of atoms = no. of moles * Avagadro's no.  

where Avagadros no. = 6.022*10^23

N(gold)=27.5/197 * Avagadros no.

N(copper) = 27.5/63.5 * avagadros no.

So, N(gold)/N(copper) = (27.5/197 * Avagadros no.)/(27.5/63.5 * avagadros no.)

= 63.5/197

= 0.322335

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imagine a radioactive isotope called z has a half-life of 12 hours. after 2 days, the fraction of the original amount remaining is

Answers

The remaining fraction of the original amount is 0.063 that can be calculated using the half life formula.

The half-life of a reaction is the time required for the reactant concentration to decrease to one-half its initial value. The half-life of a first-order reaction is a constant that is related to the rate constant for the reaction:

t1/2 = 0.693/k.

k = 0.693/t1/2

   = 0.693/12

   =0.05775 hour-1

By using the rate constant equation,

[A] = [Ao]*e^(-k*t)

[A] / [Ao]  =  e^(-k*48)

                    = e^ (-0.05775*12)

                     =0.063

Answer: 0.063

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nitrogen monoxide and oxygen react to form nitrogen dioxide. if 5.6 moles of no react with 3.1 moles of o 2, how many moles of the reactant in excess will remain after the reaction? (assume 100% yield.)

Answers

0.3 moles of Oxygen is excess reactant (reagent) when yield is 100% .

NO =5.6 moles

O2= 3.1 moles

2NO + O2 --> 2NO2 the chemical reaction.

the ratio of NO and O2 is 2:1

therefore for 5.6 moles of NO, 2.8 moles of Oxygen(O2) is required. So 3.1moles - 2.8 moles = 0.3 moles

The reactant in a chemical reaction that is present in a quantity that is larger than what is required to fully react with the limiting yield is known as the excess reactant. The substance(s) still present after a chemical reaction has reached equilibrium in yield are the reactant(s). Subtract the mass of excess reagent eaten from the total mass of excess reagent provided to determine the quantity of yield that is still present. Reactants in a chemical reaction are referred to as excess reagents if they are still present after the reaction is complete.

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2. if 3.45 g of sodium hydroxide is being reacted with 5.23 g of iron (iii) chloride, how many grams of iron (iii) hydroxide would be produced? show all calculations. (8 pts)

Answers

If 3.45 g of sodium hydroxide is being reacted with 5.23 g of iron (iii) chloride,  grams of iron (iii) hydroxide produced is 3.44 g.

The reaction is given as :

FeCl₃   +   3NaOH   --->  Fe(OH)₃   +   3NaCl

mass of NaOH = 3.45 g

mass of FeCl₃ = 5.23 g

moles of NaOH = mass / molar mass

                           = 3.45 / 40

                           = 0.086 mol

moles of FeCl₃ = 5.23 / 162

                         = 0.0322 mol

FeCl₃ is the limiting reactant and depends on the production of the Fe(OH)₃ .

1 mole of FeCl₃  = 1 mole of Fe(OH)₃

0.0322 mol of FeCl₃ = 0.0322 mol of Fe(OH)₃

mass of Fe(OH)₃ = moles × molar mass

                            = 0.0322 × 107

                            = 3.44 g

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calculate the ph of a buffer solution obtained by dissolving 25.0 g kh2po4(s) and 39.0 g na2hpo4(s) in water and then diluting to 1.00 l.

Answers

The pH of a buffer solution obtained by dissolving 25.0 g KH₂PO₄(s) and 39.0 g Na₂HPO₄(s) in water and then diluting to 1.00 L is 7.37

The pKa of the buffer H₂PO₄⁻/HPO₄²⁻ is 7.21. Using the H-H equation, you may determine a buffer's pH:

pH = pKa + log₁₀ [HPO₄²⁻] / [H₂PO₄⁻]

Molar mass of KH2PO4 (25.0 g, 136.086 g/mol) in moles:

moles KH2PO4 =25.0g/136.086g x = 0.1837 = moles [HPO₄²⁻]

Molecular weight of 38.0g of Na2HPO4 (141.96g/mol):

moles Na2HPO4 = moles HPO₄²⁻

moles Na2HPO4 =  38.0g / 141.96g) = 0.2677 moles.

Replacing in H-H equation:

pH = pKa + log₁₀ [HPO₄²⁻] / [H₂PO₄⁻]

pH = 7.21 + log₁₀ [0.2677] / [0.1837]

pH = 7.37

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ibuprofen has the following mass percent composition: c 75.69 % , h 8.80 % , o 15.51 % . what is the empirical formula of ibuprofen? express your answer as a chemical formula.

Answers

The empirical formula of ibuprofen is C13H18O2.

Solution:

We have a mass of each element as:

C: 75.69 g

H: 8.8 g

O: 15.52 g

Divide by molar mass to get the number of moles of each:

C: 75.69/12.01 = 6.3022

H: 8.8/1.008 = 8.7302

O: 15.52/16.0 = 0.97

Divide by smallest:

C: 6.3022/0.97 = 6.5

H: 8.7302/0.97 = 9

O: 0.97/0.97 = 1

Multiply by 2 to get the simplest whole number ratio:

C : 6.5*2 = 13

H : 9*2 = 18

o : 1*2 = 2

So the empirical formula is C13H18O2.

An empirical formula is the chemical formula of a compound that indicates the proportion of elements present in the compound but does not indicate the actual number or arrangement of atoms. This will be the smallest integer ratio of the elements in the compound.

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cis-1,2-Dimethylcyclohexane is achiral, not because there is a plane of symmetry, but because it consists of two enantiomeric conformations which interconvert rapidly via ring flipping at normal temperatures.

Answers

This rapid interconversion results in equal concentrations of both enantiomers and thus, no net optical activity. This is known as conformational equilibrium.

What is Dimethylcyclohexane?

Dimethylcyclohexane is an organic compound composed of two methyl groups attached to a cyclohexane ring.

Cis-1,2-dimethylcyclohexane is an example of a compound which is optically inactive. This is because it consists of two enantiomers which are mirror images of each other. These two enantiomers have the same physical and chemical properties; however, they are non-superimposable and their spatial arrangements are different. If a single enantiomer is present, it will have a distinct optical activity, but when both enantiomers are present in equal amounts, their net optical activity is zero.

The rapid interconversion of the two enantiomers of cis-1,2-dimethylcyclohexane occurs through a process known as ring flipping. This is when one of the two rings of the molecule flips over and switches its position with the other ring. This process happens so quickly that there is no net optical activity, as the two enantiomers interconvert and cancel each other out.

Cis-1,2-dimethylcyclohexane is important in the field of stereochemistry as it is an example of how two enantiomers can produce an optically inactive compound. This can be a useful tool in the design of chiral compounds; by ensuring that equal concentrations of the two enantiomers are present, an optically inactive compound can be formed.

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