a major textile dye manufacutrer developed a new yellow dye. the dye has a percent composition of 75.95%C, 17.72%n and 6.33%H by mass with a molar mass of about 240g/mol. determine the molecular formula of the dye

Answers

Answer 1

The molecular formula of dye:

A major textile dye manufacturer developed a new yellow dye with a molecular formula [tex]C_{15}N_{3}H_{15}[/tex].

Given:

Percentage composition:

C = 75.95%

N = 17.72%

H = 6.33%

Molar mass = 240 g

To find: molecular formula of dye

Calculation:

Let's assume the mass of the compound is 100 gm.

So,  Mass of C = 75.95 gm

Mass of N = 17.72 gm

Mass of H = 6.33 gm

The number of moles = given mass/mass

Therefore, the number of moles of C = 75.95/12 = 6.33

The number of moles of N = 17.72/14 = 1.27

Number of moles of H =6.33/1 = 6.33

Simplest ratio:

C = 6.33/1.27 = 4.98 =5

N = 1.27/1.27 = 1

H = 6.33/1.27 = 4.98 =5

Therefore, the empirical formula is [tex]C_{5}NH_{5}[/tex]

The mass of empirical formula = 12 x 5 + 14 + 1 x 5 = 79 gm

Number of moles= molar mass/ empirical formula

n = 240/79 = 3.04 =3

Therefore, molecular formula = empirical formula x n

Hence, molecular formula = [tex]C_{15}N_{3}H_{15}[/tex]

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Related Questions

To demonstrate the formation of iron (iii) chloride from iron fillings

Answers

Iron (iii) chloride is obtained by vapor condensation from the reaction between chlorine gas and iron fillings.

How can iron (iii) chloride be formed from iron fillings?

Iron (ii) chloride can be formed from iron fillings in the laboratory as follows:

Iron fillings + Cl₂ → FeCl₃

Chlorine gas is introduced into a reaction vessel containing iron fillings and the iron (iii) chloride vapor formed is obtained by condensation.

In conclusion, iron (iii) chloride is formed by the the direct combination of iron fillings and chlorine gas.

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Consider the reaction and its equilibrium constant at 25.0 ∘C :

CO(g)+2H2(g)⇌CH3OH(g) , Kp=6.09×10−3

A reaction mixture contains P(CO)=0.265atm , P(H2)=0.265atm , and P(CH3OH)=0.265atm .

Is the reaction mixture at equilibrium?

Since Qp>Kp , the reaction is not at equilibrium
Since Qp Since Qp=Kp , the reaction is at equilibrium
Since Qp=Kp , the reaction is not at equilibrium

Answers

Since Qp>Kp , the reaction is not at equilibrium.

What is the equilibrium constant?

The equilibrium constant shows the extent to which reactants are converted into products.

Now we have to obtain the Qp as follows;

Qp =[CH3OH]/[CO] [H2]^2

Qp = 0.265/(0.265) (0.265)^2

Qp = 14.2

Now we know that Kp = 6.09×10−3, Since Qp>Kp , the reaction is not at equilibrium.

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Equation is balanced already

How many grams of propane are
needed to react completely with 48 grams of oxygen?
How many grams of carbon dioxide will be produced? (I-8 marks)

2 C4H10 13 O₂ = 8 CO2 +10 H₂O

Answers

Answer:

1.) 13 g C₄H₁₀

2.) 41 g CO₂

Explanation:

To find the mass of propane (C₄H₁₀) and carbon dioxide (CO₂), you need to (1) convert mass O₂ to moles O₂ (via molar mass), then (2) convert moles O₂ to moles C₄H₁₀/CO₂ (via mole-to-mole ratio from equation coefficients), and then (3) convert moles C₄H₁₀/CO₂ to mass C₄H₁₀/CO₂ (via molar mass). It is important to arrange the ratios in a way that allows for the cancellation of units. The final answers should have 2 sig figs to match the sig figs of the given value.

Molar Mass (C₄H₁₀): 4(12.011 g/mol) + 10(1.008 g/mol)

Molar Mass (C₄H₁₀): 58.124 g/mol

Molar Mass (CO₂): 12.011 g/mol + 2(15.998 g/mol)

Molar Mass (CO₂): 44.007 g/mol

Molar Mass (O₂): 2(15.998 g/mol)

Molar Mass (O₂): 31.996 g/mol

2 C₄H₁₀ + 13 O₂ ----> 8 CO₂ + 10 H₂O

 48 g O₂             1 mole             2 moles C₄H₁₀            58.124 g
---------------  x  -----------------  x  -------------------------- x  ------------------  =  
                         31.996 g              13 moles O₂               1 mole

=  13 g C₄H₁₀

 48 g O₂             1 mole               8 moles CO₂            44.007 g
---------------  x  -----------------  x  -------------------------- x  ------------------  =  
                         31.996 g              13 moles O₂               1 mole

=  41 g CO₂

What is the coefficient for oh−(aq) when s2−(aq) no3−(aq) → s(s) no(g) is balanced in basic aqueous solution?

Answers

From the balanced redox equation of the reaction, the coefficient of OH⁻ is 8.

What is the balanced redox equation of the reaction?

A redox equation is the equation of a redox reaction in which oxidation and reduction occurs simultaneously.

The given redox reaction takes place in a basic solution

The balanced redox equation of the reaction is given below:

4 H₂O(l) + 3 S²⁻(aq) + 2 NO₃⁻(aq) ---> 3 S(s) + 2 NO + 8 OH⁻(aq)

In conclusion, a redox equation is balanced when oxidation and reduction occur to the same extent.

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The combustion reaction of propane is described by the reaction.
C3H8 +502 + 4H₂O + 3C0₂.
How many moles of O₂ are required to generate 3 moles of CO₂?

Answers

Answer:

[tex]\huge\boxed{\sf 5\ moles\ of\ oxygen}[/tex]

Explanation:

Chemical Reaction:

[tex]C_3H_8+5O_2 \longrightarrow 4H_2O+3CO_2[/tex]

From the reaction, we can say that,

1 mole of propane and 5 moles of oxygen produce 4 moles of water and 3 moles of carbon dioxide.

So, to generate 3 mole of carbon dioxide, 5 moles of oxygen are required. (as shown in the chemical reaction!)

[tex]\rule[225]{225}{2}[/tex]

A mole is a name for a specific number of things. What is the value of a mole? write the number using scientific notation. By what other name is it known? (2 points)

Answers

The value of a mole is 6.022 ×[tex]10^{23}[/tex]. The other name of mole is Avogadro's number.

The mole is define as  6.022 ×[tex]10^{23}[/tex] of the chemical unit like atoms , molecules, ions or others.It is very convenient unit because of huge numbers o f atoms, molecules or others. This is very important unit used by chemist.

One mole = atomic Mass of atoms / molecular mass of molecule

Example: one mole of sodium = 23 g = atomic mass

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Which of the following is an oxidation-reduction reaction?
SO2(g) + H2O(l) Right arrow. H2SO3(aq)
CaCO3(s) Right arrow. CaO(s) + CO2(g)
Ca(OH)2(s) + H2CO3(l) Right arrow. CaCO3(aq) + 2H2O(l)
C6H12O6(s) + 6O2(g) Right arrow. 6CO2(g) + 6H2O(l)

Answers

B. The chemical reaction that represents oxidation - reduction reaction is CaCO3(s) → CaO(s) + CO2(g).

Oxidation reduction reaction

In oxidation reduction reaction, the oxidizing agent is reduced while reducing agent is oxidized.

In the chemical equation below;

CaCO3(s) → CaO(s) + CO2(g)

Calcium (ca) is oxidized calcium (II) ion while the carbon (IV) oxide is reduced carbon (IV) oxide.

Thus, the chemical reaction that represents oxidation - reduction reaction is CaCO3(s) → CaO(s) + CO2(g).

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Answer: The answer is B

Explanation: on edge

1. What is lithification? Explain how this process takes place.
2. Why do the rock layers differ in color?
3. If you see a sedimentary outcrop and red layers of sand are at the top of pale layers of rock, what does this tell you about the ages of the rock layers?

Answers

Lithification simply refers to the process in which deposited loose grains of sediment are converted into rock.

Rock layer differ in colour because they are determined by the environment where they are deposited

What is a rock?

Rock is a solid mineral material which forms part of the surface of the earth

So therefore, lithification simply refers to the process in which deposited loose grains of sediment are converted into rock.

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What amino acid residue present in the specificity pocket allows trypsin to bind to peptides containing arg or lys?

Answers

The amino acid residue present in the specificity pocket allows trypsin to bind to peptides containing arg or lys will be "Asp".

Chymotrypsin breaks down peptide bonds following side chains with a lot of mass or fragrance, like those found in the amino acids phenylalanine as well as tyrosine. The substrate-binding site, also known as the specificity pocket, contains deep and features hydrophobic side chains.

A medium-sized globular protein called trypsin, also known as serine protease 1, serves as a pancreatic serine protease. This enzyme breaks down peptides on the C-terminal portion of the amino acid sequences lysine as well as arginine to hydrolyze bonds.

Therefore, the amino acid residue present in the specificity pocket allows trypsin to bind to peptides containing arg or lys will be "Asp".

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In Keq expressions, "[]" represents of reactants and products.
a)concentration
b)temperature
c)moles
d)mass

Answers

Answer: concentration

Explanation:

This is a fact.

A sample of propane (C3H8) has a mass of 0.47 g. The sample is burned in a bomb calorimeter that has a mass of 1.350 kg and a specific heat of 5.82 J/(g • °C). How much energy is released by the reaction if the temperature of the calorimeter rises by 2.87°C?
Use q equals m C subscript p Delta T..
7.85 kJ
10.6 kJ
22.5 kJ
47.9 kJ

Answers

Propane is burned in a 1.350-kg bomb calorimeter with a specific heat of 5.82 J/g.°C. For a temperature rise of 2.87 °C, the energy released is 22.5 kJ.

What is a bomb calorimeter?

It is a device that can measure heats of combustion, used in various applications such as calculating the calorific value of foods and fuels.

A sample of propane is burned in a bomb calorimeter with a mass (m) of 1.350 kg and a specific heat (c) of 5.82 J/g.°C. All the energy released by the propane is absorbed by the bomb calorimeter.

If the temperature rises by 2.87 °C (ΔT), we can calculate the energy released (Q) using the following expression.

Q = c × m × ΔT = 5.82 J/g.°C × 1,350 g × 2.87 °C × (1 kJ/1000 J)

Q =  22.5 kJ

Propane is burned in a 1.350-kg bomb calorimeter with a specific heat of 5.82 J/g.°C. For a temperature rise of 2.87 °C, the energy released is 22.5 kJ.

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Answer:

22.5 kj

Explanation:

Cesium-137 has a half life of 30.0 years. If initially there are 8.0 kg of cesium-137 present in a sample, how many kg will remain after 60.0 years

Answers

Mass after 60 years:

2 kg of cesium-137 will remain after 60.0 years.

What is Half-life?

The duration needed for a quantity to decrease to half of its initial value is known as the half-life.

Given:

N0 = is the initial amount of cesium-137 = 8.0 Kg

N = is the amount remaining after a time =  Unknown

t =  Duration of cesium-137 decay in 8.0 Kg = 60 years

t1/2 = half-life of cesium-137 = 30.0 years

Formula = N/No = (1/2)^t/t1/2

After putting the value:

N/8= (1/2)^60/30

N/8= (1/2)^2

N/8= 1/4

4N= 8

N= 8/4

N= 2 Kg

As a result, 2 Kg of cesium-137 will be present after 60 years.

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25. Which is an irreversible process?
1) mixing of two gases by diffusion
2) Evaporation of water at 373k and 2atm
pressure
3) Dissolution of Nacl in water
4) All are correct
(S

Answers

The answer is 1) mixing of two gases by diffusion.

Once 2 gases are mixed by diffusion, they cannot be obtained from the mixture of gases. Hence, it is considered to be an irreversible process.

3 dissolution of NaCl in water, since chemical changes are irreversible

Influence of bromine and iodine chemistry on annual, seasonal, diurnal, and background ozone: CMAQ simulations over the Northern Hemisphere

Answers

It does not have a strong seasonal influence on ozone over the Northern Hemisphere.

Ozone

Three oxygen atoms make up ozone, a highly reactive gas. The stratosphere, the upper atmosphere of the planet, and the lower atmosphere both include this naturally occurring and artificial substance (the troposphere). Ozone has an impact on life on Earth, but only depending on where it resides in the atmosphere.

Molecular oxygen and solar ultraviolet (UV) light interact to naturally create stratospheric ozone. The "ozone layer," which is located 6 to 30 miles above the Earth's surface, decreases the quantity of dangerous UV light that reaches the surface.

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The isotope 226Ra has a half-life for radioactive decay of 1600 Y. How long will it take the amount of 226 Ra in a sample of 226RaCl2 to decrease by 25%

Answers

the correct answer is 226Ra is half and long as radioactive decay

Which diagram is the correct electron dot diagram for magnesium?



A.
A symbol of magnesium M g has four dots representing four free electrons.

B.
A symbol of magnesium M g has three dots representing three free electrons.

C.
A symbol of magnesium M g has one dot representing one free electron.

D.
A symbol of magnesium M g has two dots representing two free electrons.

Answers

Answer:

D.) A symbol of magnesium Mg has two dots representing two free electrons.

Explanation:

Magnesium is located in the second group (column) of the periodic table. Elements located here have 2 valence electrons in their outermost shell. Thus, the electron dot diagram of magnesium has 2 dots symbolizing the 2 valence electrons.

true or false, Valence bond theory states that a bond between two atoms is the strongest when the nuclei of the atoms are touching each other.

Answers

Valence bond theory stating that a bond between two atoms is the strongest when the nuclei of the atoms are touching each other is true.

What is Valence bond theory?

This theory states that when two valence orbitals of two different atoms overlap on each other, the bond is usually strong.

The bond formed in this scenario is usually covalent which involves sharing of the valence electrons.

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The element with the lowest melting point is: Select one: a. B b. Al c. Ga d. Tl e. All of these have the same melting point.

Answers

The element with the lowest melting point is Ga.
Hence, Option (C) is correct answer.

What is Melting point ?

Melting point is usually defined as the temperature at which solid changes to liquid.

What is the order of melting point of  B, Al, Ga, Tl ?

The melting point order of B, Al, Ga, Tl is B > Al> Tl > Ga due to structural changes, melting point increases from Ga to Tl. Hence Ga has the lowest melting point among all these.

Thus from the above conclusion we can say that The element with the lowest melting point is Ga.
Hence, Option (C) is correct answer.

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Carbon-14 can be used to date remains as far back as ____________.
A. 60,000 years
B. the 1940's
C. 710 million years
D. 5700 years

Answers

A. Carbon-14 can be used to date remains as far back as 60,000 years.

What is carbon dating?

Carbon dating is a method for determining the age of an object containing organic material by using the properties of radioactive isotope of carbon.

Carbon-14 dating can be used to estimate the age of carbon-bearing materials up to about 58,000 to 62,000 years old.

Thus, Carbon-14 can be used to date remains as far back as 60,000 years.

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C 3 H 6 (g) + O 2(g) --------------> CO 2(g) + H 2 O (g)
What volume of C 3 H 6 to produce 34.7 L of H 2 O at a temperature of 29.4◦ C and a pressure of 0.762 atm?

Using the equation above solve the following: How many liters of CO 2 can be produced from 18.7 g of O 2 at STP?

Answers

As per ideal gas equation ,

 [tex]C_{3}H_{6}[/tex] Volume   = 11.56 L

[tex]CO_{2\\}[/tex] volume =  8.62L

What is Ideal gas equation?

PV = nRT

[tex]C_{3} H_{6}[/tex] gas burns in air according to following equation:

[tex]2C_{3}H_{6}[/tex] + [tex]9O_{2}[/tex] → [tex]6CO_{2}[/tex] + [tex]6H_{2} O[/tex]

Volume of [tex]C_{3} H_{6}[/tex] produced;

Step 1 : Calculate the moles of [tex]H_{2} O[/tex]

PV = nRT

n = PV / RT

n = 0.762 × 34.7 / 0.08206 × 302.55

n = 1.065 mol

Step 2: Calculate the moles of [tex]C_{3} H_{6}[/tex]

1.065 mol [tex]H_{2} O[/tex]× 2 mol [tex]C_{3} H_{6\\}[/tex] / 6 mol [tex]H_{2} O[/tex]

= 0.355 mol

Step 3 : Calculate new volume

V = 0.355 × 0.08206 × 302.55 / 0.762

V = 11.56 L

Volume of [tex]CO_{2}[/tex] produced;

Step 1: Calculate the moles of [tex]O_{2}[/tex]

18.7g [tex]O_{2}[/tex] × 1 mol [tex]O_{2}[/tex] / 32 g [tex]O_{2}[/tex]

= 0.58 mol

Step 2: calculate the moles of [tex]CO_{2}[/tex]

0.58 mol × 6mol [tex]CO_{2}[/tex] / 9 mol [tex]O_{2}[/tex]

= 0.38 mol

Step3: convert mol to litres

0.38 × 22.7L / 1mol [tex]CO_{2}[/tex]          [22.7L = 1mol]

= 8.62 L

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Chemical A has a toxicity level of 1 and chemical B has a toxicity level of 2. If a mixture of the two chemicals has a toxicity level of 3, what can we say about the results of the mixture

Answers

If chemical A has a toxicity level of one and chemical B has a toxicity level of two and the mixture of these two chemicals has a toxicity level of three, it means that the mixture of these two chemicals form a synergistic mixture.  This is condition is known as synergism.

A synergistic effect is exerted when a greater effect is exerted than the added effect of both the chemicals together. This is applicable for toxic chemicals as well as non-toxic chemicals. Synergism can be dangerous in the case of both toxicology or chemicals in general. The greater effect of toxic chemicals can result in a dangerous mixture, which could prove to have fatal effects in many cases.  The opposite of synergistic effect is antagonistic effect. The antagonistic effect is the effect where the overall effect of these two chemicals would be less than the sum of the effects imparted by the individual chemicals.

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Given the following equation: 2 AgNO3 CaCl2 --> 2 AgCl(s) Ca(NO3)2 What is the net ionic equation:

Answers

The net ionic equation is:

2Ag⁺(aq) + 2Cl⁻(aq) → 2AgCl(s)

How to write a net ionic equation?

The given equation is:

2AgNO₃ (aq) + CaCl₂ (aq) → 2AgCl(s) + Ca(NO₃)₂ (aq)

A double displacement reaction occurs when silver nitrate and calcium chloride are combined. Silver chloride precipitate and a calcium nitrate solution are the results of the reaction.

Break down all the soluble electrolytes, that are present in an aqueous form, into their respective ions:

2Ag⁺(aq) + 2NO³⁻(aq) + Ca²⁺(aq) + 2Cl⁻(aq) → 2AgCl(s) + Ca²⁺(aq)+ 2NO³⁻(aq)

Now remove all the spectator ions present in the equation. The spectator ions should be removed after comparing the reactant and product sides of the revised reaction. These dissolved ions are known as spectator ions if they exhibit the same form on both sides. No reaction occurs if everyone is a spectator ion.

Now write the net ionic equation:

2Ag⁺(aq) + 2Cl⁻(aq) → 2AgCl(s)

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Half-life expressions can be derived from?

Answers

Different half-life expressions can be chemically derived from integrated rate laws.

What are integrated rate laws?

In chemistry, the expression 'integrated rate laws' makes reference to the integration of different rate laws.

The constant rate refers to the specific amount of a given substrate or reactant that is used in a chemical reaction to produce a specific amount of product during such reactions.

The constant rate is very useful to determine the time required to generate a given amount of a product in a given chemical reaction (expressed per unit of time).

In conclusion, different half-life expressions can be chemically derived from integrated rate laws.

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A teacher divides her class into four groups. She assigns
each group the task of measuring the temperature of a
given object three times. The teacher already knows that
the temperature of the object is 31°C.
Based on each group's results, which group makes the most precise
measurements of the object's temperature?
A. Group A: 31.0°C, 32.0°C, 30.0°C
B. Group B: 29.5°C, 33.0°C, 31.8°C
C. Group C: 32.1°C, 31.9°C, 31.8°C
D. Group D: 29.0°C, 35.0°C, 32.0°C

Answers

The group that makes the most precise measurements of the object's temperature is Group C : 32.1°C, 31.9°C, 31.8°C. That is option C.

What is a precise measurement?

Precise measurement are those values that are gotten during a measurement which when compared are closest to the given constant value.

Precision refers to a value in decimal numbers after the whole number, and it does not relate with accuracy.

From the measurement gotten from the different groups, the results that are precise are the results of group C.

This is so because,

32.1-31 = 1.1

31.9-31 = 0.9

31.8- 31 = 0.8

All the values gotten are in decimals as stated above. Therefore, the group that makes the most precise measurements of the object's temperature is Group C.

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A cyclinder has a volume of 703 cm3 and a height of 18.5 cm. What can be concluded about the cyclinder

Answers

The volume of a cylinder's formula can be used to find the area of the base.

The formula - r2 h, where r is the cylinder's radius and h is its height, determines the volume of a cylinder.

The density of a cylinder is determined by its volume, which represents how much material may be immersed in it or carried inside of it. The formula r2h, where r is the radius of the circular base and h is the height of the cylinder, determines the volume of a cylinder. Any substance that can fill the cylinder consistently with liquid or another material may be used as the material.

The ratio of the base area to the height can be used to calculate the volume of a cylinder

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please help me with this question, and if u can do it on paper

Answers

1. O2 is the limiting reagent

2. Excess NH3 = 0.102 moles

3. 0.088 mol of NO is formed

4. 2.376 grams of H2O is formed

Stoichiometric problem

From the equation: [tex]4NH_3 + 5O_2 --- > 4NO + 6H_2O[/tex]

Mole ratio of NH3 and O2 = 4:5

Mole of 3.25 g NH3 = 3.25/17 = 0.19 mol

Mole of 3.50 g O2 = 3.5/32 = 0.11 mol

Equivalent mole of O2 from NH3 = 5/4 x 0.19 = 0.24 mol

Equivalent mole of NH3 from O2 = 4/5 x 0.11 = 0.088 mol

Thus, O2 is the limiting reagent.

Excess NH3 = 0.19 - 0.088 = 0.102 moles

Mole ratio of O2 and NO = 5:4

Equivalent mole of NO = 4/5 x 0.11 = 0.088 mol

Mole ratio of O2 and H2O = 5:6

Equivalent mole of H2O = 6/5 x 0.11 = 0.132 mol

Mass of 0.132 mol H2O = 0.132 x 18 = 2.376 grams

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The difference between the calculated voltage (based on standard potentials) and the actual voltage required to cause electrolysis is called .

Answers

The difference between the calculated voltage (based on standard potentials) and the actual voltage required to cause electrolysis is called overvoltage.

Electrolysis

Electrolysis is the technique of causing a chemical change in a substance by passing an electric current through it. The substance either loses or gets an electron during the chemical transition (oxidation or reduction). The procedure is carried out in an electrolytic cell, a device made up of positive and negative electrodes that are kept apart and submerged in a solution with ions that are both positively and negatively charged. The chemical that needs to be converted might either be dissolved in the solution or could form the electrode. The negatively charged electrode (cathode) receives electrical current (i.e., electrons), which travels there and combines with the components of the solution to convert them (reduced).

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In which form are water molecules most closely bonded to each other?

Answers

Answer:

In solid

Explanation:

As a solid has very tightly packed molecules which move very difficulty and only vibrate

CONCLUSIONS: Suppose a student titrated a sample of monoprotic acid of unknown concentration using a previously standardized solution of NaOH. volume of 0.125 M NaOH dispensed 24.68 mL volume of acid solution 50.00 mL Given the data in the table above, what is the concentration of the unknown acid?

Answers

Concentration of unknown acid is 0.061 M

Given:

Concentration of NaOH = 0.125 M

Volume of NaOH = 24.68 mL

Volume of acid solution = 50.00 mL

To Find:

Concentration of the unknown acid

Solution: Concentration is the abundance of a constituent divided by the total volume of a mixture. The concentration of the solution tells you how much solute has been dissolved in the solvent

Here we will use the formula for concentration:

M1V1 = M2V2

0.125 x 24.68 = 50 x M2

M2 = 0.125 x 24.68 / 50

M2 = 0.061 M

Hence, the concentration of unknown acid is 0.061 M

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Help!!
Classify each diagram as an element a compound or mixture

Answers

Answer:

1. Mixture

2. Compound

3. Compound

4. Element

Explanation:

Number 1 shows two completely different types of compounds in the same space, so it is a mixture.

Numbers 2 and 3 are compounds because there aren't different types compounds as in Number 1, but the same compound repeated. 2 is a compound because while all of the circles are the same element, they are connected. O2 for example, oxygen, is a compound.

Number 4, finally, is all of the same substance, non-connected, so it shows an element.

Brainliest, please :) (Trying to become a genius so that I can continue helping more people)

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11. If your vehicle begins to skid, you should: What will it cost to carpet a rectangular floor measuring 21 feet by 18 feet if the carpet costs $25.68 per square yard? David invested $230 in a savings account that offers a 3% return on the investment. the value of david's investment will be at least $415 after a period of years. hint: use the formula a = a1 + ', where a is the amount after tyears, pis the amount invested, r is the rate of interest, and is the time period. use a calculator to compute the answer, and round it off to the nearest year. What is piaget's term for cognitive development between the ages of about 2 and 6? The function a(b) relates the area of a trapezoid with a given height of 12 andone base length of 9 with the length of its other base.It takes as input the other base value, and returns as output the area of thetrapezoid.2.b19a(b)-12..Which equation below represents the inverse function b(a), which takes thetrapezoid's area as input and returns as output the length of the other base?A. b(a)-2-9B. b(a)-+9OC. b(a)- +6OD. b(a)-9-6 Identify the commentary term from the picture: NO LINKS!! Please help me with this problem.What is the standard form of the equation of the ellipse? normally how often should B-12 supplement be used for energy?A) neverB) sparinglyC) 2 times /dayD) 3 times/ day Jasmin belongs to the chess club on her campus. She prefers to associate with other members of the chess club while avoiding people that do not belong to this group. Those people that she avoids are members of the: Which of the following BEST describes port aggregation Select the correct answer from each drop-down menu. Complete the paragraph about the Populist Party's position regarding railroads during the Gilded Age. Farmers believed that railroads were that charged rates that increased their indebtedness. They wanted the government to railroad companies. They supported because they wanted competent people who could handle such a task. Unicorns can either have straight horns (h), which are dominant, or crooked horns (h). a heterozygous straight-horned unicorn mates with a crooked-horn unicorn. 1) what mode of inheritance is happening here? Value script and value plus pdp products have a ___-tier formulary structure for 2023. Party activists are ________ likely to contribute time to party affairs and ________ likely to hold more extreme views than the partys rank-and-file voters. group of answer choices A laser is shone through a double slit and a particular interference pattern is observed on a screen some distance away. If the separation between the openings is increased, the distance between the fringes will A car heading north collides at an intersection with a truck of the same mass as the car heading east. If they lock together and travel at 28 m/s at 46 north of east just after the collision, how fast was the car initially traveling? assume that any other unbalanced forces are negligible. so confused pls help>>>> theres a pic A sector has a radius of 12 centimeters and an angle 65 degrees. find its arc length Please show work if possible! Thank you!! A 2.0 x 103 kg roller coaster travels around a vertical 24-m radius loop. If the coaster has a tangential speed of 18 m/s at the lowest point of the loop, what is the normal force that is exerted on the coaster by the track at this point?a. 5.3 x 10^4 Nb. 4.7 x 10^4 Nc. 3.0 x 10^4 Nd. 2.7 x 10^4 N URGENT WILL GIVE BRAINLIEST