a first order reaction has a rate constant of 0.80553 at 34.7 oc. given that the arrhenius constant for the reaction is 3.82 x 1010 sec -1, what is the value of the activation energy (in kj/mol)?

Answers

Answer 1

Therefore, the activation energy for this first-order reaction is 82.9 kJ/mol

The Arrhenius equation relates the rate constant (k) to the temperature (T) and activation energy (Ea): k = A * exp(-Ea/RT) where: A is the pre-exponential factor (Arrhenius constant) R is the gas constant (8.314 J/mol-K) We are given k, A, and T, and we want to solve for Ea. We can rearrange the Arrhenius equation as follows: ln(k/A) = -Ea/RT Multiplying both sides by (-RT) gives:ln(k/A) * (-RT) = Ea Substituting the given values:ln(0.80553/3.82e10) * (-8.314 J/mol-K) * (34.7 + 273.15) K = Ea Ea = 82.9 kJ/mol.

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Related Questions

Questlon 7 of 10
Which object will require the greatest amount of force to change its motion?
O A. A 72 kg object moving 25 m/s
O B. A 55 kg object moving 32 m/s
OC. A 75 kg object moving 22 m/s
O D. A 63 kg object moving 27 m/s

Answers

A 72 kg object moving 25 m/s will require the greatest amount of force

Further explanation

Given

mass of object and the velocity

Required

the greatest amount of force

Solution

Newton's 2nd law :

∑F = m. a  

F = force, N  

m = mass = kg  

a = acceleration due to gravity, m / s²  

Assuming the object is moving from rest (vo = 0) and the time needed to reach its velocity is the same (delta t = equal), it can be formulated:

\(\tt \Sum F=m.\dfrac{v_f-v_i}{\Delta t}\\\\F=m.\dfrac{v_f}{\Delta t}\)

So the force on an object depends on the product of its mass and velocity

Or if we use the impulse and momentum formula

\(\tt F.\Delta t=m(v_f-v_i)\\\\F,\approx m.v_f\)

So that we determine which is the greatest from the multiplication of mass and velocity will produce the greatest force as well

A 72 x 25 = 1800

B. 55 x 32 =1760

C. 75 x 22 = 1650

D.63 x 27 = 1701

Option A has the greatest force

What is the pH at the half-equivalence point in the titration of a weak base with a strong acid? The pKb of the weak base is 7.95.

a. 7.95

b. 8.75

c. 6.05

d. 5.25

Answers

Titration is the process of determining the amount of a substance in a solution by measuring the volume of a solution with a known concentration that is required to react with it. The answer to the given question is option d) 5.25.

In the titration of a weak base with a strong acid, the pH at the half-equivalence point can be calculated as follows: At the half-equivalence point, we have equal moles of the weak base and the strong acid. As a result, we get a solution that contains the weak base, its conjugate acid, and water. In the solution, there is an equilibrium between the weak base and its conjugate acid. This equilibrium has an acid dissociation constant, Ka. It's given by:

Ka = [H+][A–]/[HA]

The pKa is calculated by taking the negative logarithm of Ka:

pKa = -log(Ka)

At the half-equivalence point, [HA] = [A–] and the expression for pKa becomes:

pKa = -log([H+])

Therefore, the pH at the half-equivalence point is:

pH = 1/2 (pKb + pKa)

Given that pKb = 7.95 for the weak base, we can calculate the pKa:

pKw = 14 (at 25°C)

pKw = pKa + pKb

14 = pKa + 7.95

pKa = 6.05

Therefore, the pH at the half-equivalence point is:

pH = 1/2 (7.95 + 6.05)

pH = 1/2 (14)

pH = 7

At the half-equivalence point, the pH of the solution is equal to 7. Therefore, option d) 5.25 is incorrect.

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A 3.458 g sample of KHP, a monoprotic acid, requires 45.71 mL of a KOH solution to reach the endpoint. What is the concentration of the KOH solution? The molar mass of KHP is 204.22 g/mol. x 10! M KOH Enter your answer in scientific notation.

Answers

The concentration of the KOH solution is 0.100 M. To calculate the concentration of the KOH solution, we can use the formula:

Molarity (M) = (moles of solute) / (volume of solution in liters)

Given:

Mass of KHP (potassium hydrogen phthalate) = 3.458 g

Molar mass of KHP = 204.22 g/mol

Volume of KOH solution = 45.71 mL = 0.04571 L

First, we need to calculate the moles of KHP:

moles of KHP = (mass of KHP) / (molar mass of KHP)

moles of KHP = 3.458 g / 204.22 g/mol ≈ 0.01693 mol

Next, we can calculate the concentration of the KOH solution:

Molarity of KOH solution = (moles of KOH) / (volume of solution)

Molarity of KOH solution = 0.01693 mol / 0.04571 L ≈ 0.370 M

Converting the concentration to scientific notation, we have:

Molarity of KOH solution ≈ 3.70 x 10^-1 M

Therefore, the concentration of the KOH solution is approximately 0.100 M.

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21. An object appears blue when seen in sunlight. The same object is illuminated by a mixture of equally bright red and green light. It is also viewed through a blue filter. What color does the object appear to be? A. Blue B. Cyan C. Black D. Green

Answers

Answer: Green.

Explanation: Because object appears to be blue in sunlight, it absorbs counter colour of blue, also orange-red colour. So, when illuminated with

red-green colour, red light is more absorbed and object appears to be green.

what is the concentration of a solution prepared by mixing 5.00 ml of deionized water with 3.00 ml of a 1.31 m solution?

Answers

6.10 is the concentration of a solution prepared by mixing 5.00 ml of deionized water with 3.00 ml of a 1.31 m solution.

When combining solutions, how do you determine concentration?

Add the mass of the solute to the total volume of the solution. Write down C = m/V, where m is the mass of the solute and V is the total volume of the solution.

How can you figure out how much of a solution dissolves in water?

The amount of solute dispersed in one liter of solution, or its molarity (M), is measured in moles. To determine a solution's molarity, divide the number of moles of solute by the volume of the solution, measured in liters. To be clear, the volume is expressed in liters of solution rather than liters of solvent.

Mass total  = mass of solute + mass of solvent

m = 5+3 = 8.00ml

C = m/V

C = 8 / 1.31 = 6.10

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explain why there is no minus sign in this equation for heat (unlike the equation for work). (think in terms of microscopic definition of entropy.)

Answers

When heat is absorbed by the solution, the solution's q value is negative. This denotes that the reaction is endothermic, absorbs heat from the solution, and has a positive reaction q.

Yes, it can be negative, in which case one needs a heat sink. Examples of such sinks include melting or evaporation. The source term in an equation for energy conservation could be positive or negative. The temperature of the node will drop if the magnitude of the negative heat source is greater than the heat flow into the system.

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explain, in terms of atomic structure, why liquid mercury is a good electrical conductor.

Answers

Mercury is a good electrical conductor due to its unique atomic structure. It is a metal that exists in liquid form at room temperature.

Mercury has 80 electrons, with 2 in the innermost shell, 8 in the second shell, 18 in the third shell, 32 in the fourth shell, 18 in the fifth shell, and 2 in the sixth shell. The electrons in the outermost shell of an atom are known as valence electrons. In the case of mercury, there are two valence electrons.T

he valence electrons of mercury are not tightly bound to the nucleus of the atom. As a result, they are free to move around the liquid's surface, allowing electric current to flow freely through the metal.

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What is the ability for a substance to flow

Answers

The ability for a substance to flow is fluidity.

Which substances show flowing?

Only liquid and gaseous substances have the ability to flow from one point to other as they have weak intermolecular force in it.

Fluidity is the quantity which gives idea about the ability of that substance to flow. At normal conditions at room temperature, any substance has the tendency to distort its shape in order to flow or take the shape of the container it is enclosed in.

Hence the ability for a substance to flow is fluidity.

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Which atom has the lowest(smallest) ionization energy?
A. Na
B.K
C. Me
D. Ca

Answers

K. Ionization energy increases as you go up and to the right, and k is the furthest left and furthest down

Metallic bonding allows relatively free movement of electrons between atoms. This bonding results in the malleability of substances. A sample of which substance would most likely exhibit malleability?.

Answers

Answer: Copper

Explanation: A material's ability to form thin sheets under pressure by hammering or rolling is called Malleability.Metallic bond is a term used to describe the collective sharing of a sea of valence electrons between several positively charged metal ions.Metallic bonding is a type of chemical bonding that arises from the electrostatic attractive force between conduction electrons (in the form of an electron cloud of delocalized electrons) and positively charged metal ions.A strong metallic bond will be the result of more delocalized electrons, which causes the effective nuclear charge on electrons on the cation to increase, in effect making the size of the cation smaller. Metallic bonds are strong and require a great deal of energy to break, and therefore metals have high melting and boiling points

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glycolysis, which provides energy by breaking down carbohydrates like glucose, relates to activities lasting __________.

Answers

Glycolysis, which provides energy by breaking down carbohydrates like glucose, relates to activities lasting generally less than 3 minutes.

In chemistry, energy is the capacity to carry out work. It can take on a variety of shapes, including potential, kinetic, thermal, electrical, chemical, radioactive, etc. Heat and work are two additional instances of how energy can be transferred from one body to another. After being transported according to its type, energy is always distributed. Thus, while work may produce mechanical energy, heat transfer may produce thermal energy. All forms of energy share the characteristic of motion. Kinetic energy, for instance, is present when a body is in motion. A tensioned object, like a spring or bow, can move even when at rest because of the object's design, which incorporates potential energy.

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Which statement about chemical reaction rates is true?


A.The reaction rates cannot decrease.


B.The reaction rates cannot change.


C.The reaction rates can increase.


D.The reaction rates are always constant.

Answers

Answer:

C

Explanation:

gggggggggggggggggggggggggggggggg

gg

Answer:

D)

Explanation:

The reactions can neither decrease or increase with few of it's molecules carrying up the test as explained by scientists.

The synthesis of maleic acid anhydride (CH₂O₂) can be accomplished
by reacting benzene (CH) and oxygen gas in the following chemical
reaction:
2 CH (1) +9 O₂(g) → 2 C₂H₂O₂(s) + 4 CO₂(g) + 4H₂O(g)
What is the mass in grams of oxygen gas that is required to produce
52.1 grams of maleic acid anhydride?

Answers

The mass of oxygen is 76.32 g

How does stoichiometry affect a reaction?

Stoichiometry is the study of the quantitative relationships between reactants and products in a chemical reaction. It refers to the mole ratios of the reactants and products involved in a reaction.

We know that;

Number of moles of  maleic acid anhydride = 52.1 grams /98 g/mol

= 0.53 moles

If 9 moles of oxygen produces 2 moles of  maleic acid anhydride

x moles of oxygen will produce 0.53 moles  of  maleic acid anhydride

x = 2.385 moles

Mass of oxygen =  2.385 moles * 32 g/mol

= 76.32 g

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help please please help help help help help help help help!!!!!!!
how did chlorine atom attain saturation in potassium chloride and oxygen dichloride?​

Answers

Answer:

because it was in the mixture

Explanation:

(1) Design Rsendo-nMos of 4 ye input \( X \)-OR gate (2) draw the stick diagram of your design.

Answers

To design a 4-input XOR gate using complementary metal-oxide-semiconductor (CMOS) technology,

follow these steps:

Determine the transistor arrangement: In a CMOS XOR gate, we use two types of transistors: nMOS (n-channel metal-oxide-semiconductor) and pMOS (p-channel metal-oxide-semiconductor).

For the nMOS, we need a parallel connection of four nMOS transistors, and for the pMOS, we need a series connection of four pMOS transistors.

Assign inputs and outputs:

Let's assume the four inputs to the XOR gate as X1, X2, X3, and X4, and the output as Y.

nMOS transistor connections: Connect the sources of all four nMOS transistors to ground (GND). Connect the gates of the transistors to their respective inputs (X1, X2, X3, X4). Connect the drains of the transistors to a node called "NMOS Out."

pMOS transistor connections: Connect the sources of all four pMOS transistors to the supply voltage (VDD).

Connect the gates of the transistors to their respective inputs (X1, X2, X3, X4).

Connect the drains of the transistors to a node called "PMOS Out."

Connect the output: Connect the NMOS Out and PMOS Out nodes together to form the XOR gate output (Y).

To draw the stick diagram, you would need specific design tools or software that allows for the creation of such diagrams.

The stick diagram represents the layout of the transistors and their connections using simplified symbols.

It's important to note that the exact details of the design, including transistor sizes, voltage levels, and specific layout considerations, may vary depending on the CMOS technology and design constraints.

Consult a reliable CMOS design resource or consult with a professional with expertise in CMOS circuit design for an accurate and detailed representation of the design and stick diagram.

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Cyclopropane, a substance used with oxygen as a general anesthetic, contains only two elements, carbon and hydrogen. When 1.00 g of this substance is completely combusted, 3.14 g of CO2 and 1.29 g of H2O are produced. What is the empirical formula of cyclopropane

Answers

Answer:

CH₂

Explanation:

From the question given above, the following data were obtained:

Mass of compound = 1 g

Mass of CO₂ = 3.14 g

Mass of H₂O = 1.29 g

Empirical formula =?

Next, we shall determine the mass of Carbon and hydrogen present in the compound. This can be obtained as follow:

For Carbon, C:

Mass of CO₂ = 3.14 g

Molar mass of CO₂ = 12 + (2×16)

= 12 + 32

= 44 g/mol

Molar mass of C = 12 g/mol

Mass of C =?

Mass of C = molar mass of C/ Molar mass of CO₂ × Mass of CO₂

Mass of C = 12/44 × 3.14

Mass of C = 0.86 g

For hydrogen, H:

Mass of C = 0.86 g

Mass of compound = 1 g

Mass of H =?

Mass of H = (Mass of compound) – (mass of C)

Mass of H = 1 – 0.86

Mass of H = 0.14 g

Finally, we shall determine the empirical formula of the cyclopropane. This can be obtained as follow:

Mass of C = 0.86 g

Mass of H = 0.14 g

Divide by their molar mass

C = 0.86 / 12 = 0.07

H = 0.14 / 1 = 0.14

Divide by the smallest

C = 0.07 / 0.07 = 1

H = 0.14 / 0.07 = 2

Thus, the empirical formula of cyclopropane is CH₂

You are given two clear solutions of the same unknown monoprotic acid, but with different concentrations. Which statement is true? A) There is no chemical method designed to tell the two solutions apart. B) It would take more base solution (per milliliter of the unknown solution) to neutralize the more concentrated solution. C) A smaller volume of the less concentrated solution contains the same number of moles of the acid compared to the more concentrated solution. D) If the same volume of each sample was taken, then more base solution would be required to neutralize the one with lower concentration. E) The product of concentration and volume of the less concentrated solution equals the product of concentration and volume of the more concentrated solution.

Answers

Statement E is true: The product of concentration and volume of the less concentrated solution equals the product of concentration and volume of the more concentrated solution. This is known as the principle of dilution, which states that the number of moles of solute remains constant when a solution is diluted. Therefore, the total amount of acid present in both solutions is the same, even though the concentrations and volumes may differ.

When comparing the two solutions of the unknown monoprotic acid, we can apply the principle of dilution. According to this principle, the number of moles of solute remains constant during dilution.

Statement E states that the product of concentration and volume is equal for both solutions. This means that if we multiply the concentration of the acid in the less concentrated solution by its volume, it would be equal to the product of the concentration of the acid in the more concentrated solution and its volume.

For example, if we have Solution A with a lower concentration (C₁) and larger volume (V₁), and Solution B with a higher concentration (C₂) and smaller volume (V₂), we can compare the two products: C₁ * V₁ = C₂ * V₂. This equation shows that the total amount of acid (moles) in both solutions is the same, regardless of their concentrations or volumes.

Therefore, Statement E is true, while the other statements (A, B, C, and D) are not applicable to the principle of dilution and the behavior of solutions

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A candle produces a yellow flame on burning while LPG burning in a gas
burner produces a blue flame. Explain.

Answers

Due to Incomplete combustion, a candle produces a yellow flame and due to complete combustion, an LPG burner produces a blue flame.

A candle is made of wax, which does not burn completely. As a result, candles have partial combustion, which gives them their yellow color. On the other hand, LPG (Liquified Petroleum Gas), burns at approx. around 1,960°C temperature. Hence, LPG burners have complete combustion, giving them their blue color.

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3 sentences about elements, compound, homogeneous and heterogeneous mixtures​

3 sentences about elements, compound, homogeneous and heterogeneous mixtures

Answers

Explanation:

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3 sentences about elements, compound, homogeneous and heterogeneous mixtures
3 sentences about elements, compound, homogeneous and heterogeneous mixtures
3 sentences about elements, compound, homogeneous and heterogeneous mixtures
3 sentences about elements, compound, homogeneous and heterogeneous mixtures

Choose the reaction that illustrates AH°f for Mg(NO2)2.
O Mg(NO2)2(s) → Mg(s) + N2(g) + 402(g)
O Mg(s) + N2(g) + 2 O2(g) → Mg(NO2)2(s)
O Mg2+(aq) + 2 NO2-(aq) → Mg(NO2)2(aq)
O Mg(NO2)2(aq) → Mg2+(aq) + 2 NO2-(aq)

Answers

The correct reaction that illustrates AH°f for Mg(NO2)2 is:
Mg(s) + 2 NO2(g) + 1/2 O2(g) → Mg(NO2)2(s)

This reaction shows the formation of one mole of solid Mg(NO2)2 from its constituent elements in their standard states, with all reactants and products in their standard states at 25°C and 1 atm pressure. This is the definition of AH°f or the standard enthalpy of formation.

The other reactions listed involve either the decomposition of Mg(NO2)2 or the dissolution of its ions in water, which do not directly measure AH°f.
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You have two pure substances that you cannot identify. Each sample is solid at room temperature. Describe at least five stopes in the appropriate sequence that you wpild take to be able to identify the substance

Answers

Not sure but good luck

X
What period are
the elements
that have an
outer layer O in?

Answers

Answer:

carbon

Explanation:

second (n = 2) shell, more specifically its 2s and 2p subshells.

How do I calculate the moles of calcium chloride with a mass of 1. 11 g

Answers

You need to know the molar mass of calcium chloride in order to calculate the moles of calcium chloride with a mass of 1.11 g. The total atomic masses of all the atoms in a single compound molecule make up the molar mass.

According to its chemical formula, calcium chloride is composed of two chlorine atoms (atomic mass = 35.45 g/mol) and one calcium atom (atomic mass = 40.08 g/mol). As a result, calcium chloride has the following molar mass:

CaCl2 has a molar mass of 110.98 g/mol (40.08 g/mol + 2 x 35.45 g/mol).

The number of moles of calcium chloride having a mass of 1.11 g may be determined using the molar mass of calcium chloride, which we already know. The following is the formula to get the number of moles:

Molar mass divided by mass equals a mole.Substituting the values we know, we get:

moles of CaCl2 = 1.11 g / 110.98 g/mol = 0.01 mol

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draw the atomic structure of a sodium atom​

Answers

The atomic structure of a sodium atom:

draw the atomic structure of a sodium atom

The atomic number of the sodium atom is eleven. The electrons are placed in their respective orbits and sub-orbits with an electron configuration of 1s²2s²2p⁶3s¹.

The number of electrons and protons is also eleven and they are present in the nucleus of the atom. The sodium atom with an atomic number eleven is made up of a central nucleus which holds eleven positively charged protons, and eleven neutrons.

To maintain a neutral charge the proton count is always balanced with that of the electron count that is present in their respective energy level orbits outside the nucleus based on the energy possed by the electrons.

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draw the atomic structure of a sodium atom

what are the reactants in the following equation: hcl(aq) nahco₃(aq)→ co₂(g) h₂o(l) nacl(aq)

Answers

Hydrogen chloride (HCl) and sodium bicarbonate (NaHCO3) are the reactants. The substances produced as a result of this reaction are CO2(g), H2O(l), and NaCl(aq).

The reactants in the following equation:

HCl (a q) + NaHCO3(a q) → CO2(g) + H2O(l) + Na C l (aq) are hydrogen chloride (HC l) and sodium bicarbonate (NaHCO3).

Explanation:

A reactant is a substance that undergoes change during a chemical reaction. A reaction equation includes the symbols and formulas of reactants and products, along with the physical states of the substances, as they appear before and after the reaction.

The chemical reaction in this question is: HC l(a q) + NaHCO3(a q) → CO2(g) + H2O(l) + Na Cl (a q)In this equation, the reactants are H Cl (a q) and NaHCO3(a q), which are in an aqueous state.

Therefore, hydrogen chloride (H Cl) and sodium bicarbonate (NaHCO3) are the reactants. The substances produced as a result of this reaction are CO2(g), H2O(l), and Na Cl (a q).

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During which process in the water cycle does water release thermal energy? Explain how you know. ​

Answers

Answer:

evaporation

Explanation:

Evaporation occurs when a liquid changes to a gas. During evaporation, molecules gain enough thermal energy to escape from the liquid surface into the air as water vapor.

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ca2 and co2−3 determine the formula unit and name for the compound formed when each pair of ions interacts. in the formula, capitalization and subscripts are graded. spelling counts.

Answers

When Ca2+ and CO2-3 ions interact, they form the compound calcium carbonate (CaCO3).

This is because calcium (Ca2+) has a 2+ charge, while carbonate (CO2-3) has a 2- charge. In order to balance the charges, one calcium ion combines with one carbonate ion. The resulting formula unit for calcium carbonate is CaCO3.

Calcium carbonate is a common compound found in nature, such as in the shells of marine organisms and in rocks like limestone and marble. It also has many industrial uses, such as in the production of cement and as a filler in paper and plastics.

It is important to note that capitalization and subscripts are crucial when writing the formula unit for a compound. The capitalization of the first letter of each element symbol and the subscript numbers indicate the number of atoms or ions present in the compound.

Spelling also plays an important role in identifying the correct compound. In this case, the correct spelling for the compound formed from Ca2+ and CO2-3 is calcium carbonate.

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The compound that can be formed from the calcium ion and the carbonate ion is calcium carbonate.

What is the compound formed?

We have to look at the valency of the ions that we have in the question as this is going to tell us the identity of the compound that is formed and that would be relevant in the problem that we are trying to solve here.

Looking at the question that we have here, we can see that the interaction would be between the divalent calcium ion and the divalent carbonate ion and as such we would see that the compound that is formed would be calcium carbonate.

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3. How many grams of oxygen are needed for the
complete combustion of 11 grams of propane, C3H8?
C3H8 + 5 O2 + 3 CO2 + 4 H2O

Answers

Answer:

Mass = 40 g

Explanation:

Given data:

Mass of oxygen needed = ?

Mass of propane = 11 g

Solution:

Chemical equation:

C₃H₈ +5O₂   →     3CO₂ + 4H₂O

Number of moles of propane:

Number of moles = mass/molar mass

Number of moles = 11 g/ 44.1 g/mol

Number of moles = 0.25 mol

now we will compare the moles of propane and oxygen.

              C₃H₈        :          O₂

                  1           :            5

                0.25      :            5/1×0.25 = 1.25 mol

Mass of oxygen needed:

Mass = number of moles × molar mass

Mass = 1.25 mol × 32 g/mol

Mass = 40 g

(08.05 M)
A solution has a [H30) of 1 x 10-3 M. What is the [OH-] of the solution?
11M
14 M
1x 10-14 M
1* 10-11M

Answers

The [OH⁻] of the solution : 1 x 10⁻¹¹ M

Further explanation

Given

[H30) : 1 x 10-3 M.

Required

the [OH]

Solution

The water equilibrium constant is a product of the concentrations of [H3O +] and [OH-]

Kw = [H₃O⁺] [OH⁻]

Input the value of  [H₃O⁺]

1 x 10⁻¹⁴ = 1 x 10⁻³ x  [OH⁻]

[OH⁻] = 1 x 10⁻¹⁴ :  1 x 10⁻³

[OH⁻] = 1 x 10⁻¹¹ M

An athlete has a daily energy allowance of 2500 kcalories. calculate the personal daily value for fat based on this energy intake.

Answers

The personal daily value for fat based on this energy intake would be 687.5 kcalories.

The personal daily value for fat can be calculated based on the athlete's daily energy allowance of 2500 kcalories. The personal daily value for fat refers to the recommended amount of fat intake as a percentage of the total daily energy intake.

To calculate the personal daily value for fat, we need to know the recommended percentage of fat intake. The Dietary Guidelines for Americans recommend that fats should make up 20-35% of total daily caloric intake. Let's assume we take the midpoint of this range, which is 27.5%.

To find the fat intake in kcalories, we multiply the total daily energy allowance (2500 kcalories) by the percentage of fat intake (27.5% expressed as a decimal, which is 0.275):

2500 kcalories * 0.275 = 687.5 kcalories

Therefore, the personal daily value for fat based on this energy intake would be 687.5 kcalories. Keep in mind that this value represents the recommended amount of fat intake for the athlete and may vary depending on individual needs and specific dietary goals. It is always a good idea to consult with a registered dietitian or healthcare professional for personalized dietary advice.

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The personal daily value for fat based on this energy intake would be 687.5 kcalories.

The personal daily value for fat can be calculated based on the athlete's daily energy allowance of 2500 kcalories. The personal daily value for fat refers to the recommended amount of fat intake as a percentage of the total daily energy intake.

To calculate the personal daily value for fat, we need to know the recommended percentage of fat intake. The Dietary Guidelines for Americans recommend that fats should make up 20-35% of total daily caloric intake. Let's assume we take the midpoint of this range, which is 27.5%.

To find the fat intake in kcalories, we multiply the total daily energy allowance (2500 kcalories) by the percentage of fat intake (27.5% expressed as a decimal, which is 0.275):

2500 kcalories * 0.275 = 687.5 kcalories

Therefore, the personal daily value for fat based on this energy intake would be 687.5 kcalories. Keep in mind that this value represents the recommended amount of fat intake for the athlete and may vary depending on individual needs and specific dietary goals. It is always a good idea to consult with a registered dietitian or healthcare professional for personalized dietary advice.

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