a potassium hydroxide (KOH) solution has a molar concentration of 0.026 M. calculate the [H3O+], [OH-] , and the pH of the solution

Answers

Answer 1

A 0.026 M KOH solution has [tex][OH-] = 0.026 M, [H3O+] = 10^(-13) M[/tex], and a pH of 12.97.

A potassium hydroxide (KOH) solution is a strong base and dissociates completely in water to produce hydroxide ions (OH-). The molar concentration of KOH can be used to calculate the concentration of hydroxide ions.

[OH-] = 0.026 M

The hydroxide ions will react with water to produce hydronium ions (H3O+), according to the equation:

[tex]OH- + H2O - > H3O+ + OH-[/tex]

The concentration of hydronium ions can be calculated using the equation:

[tex][H3O+] = Kw/[OH-] = 10^(-14)/[OH-] = 10^(-14)/0.026 = 10^(-13) M[/tex]

The pH of the solution can be calculated using the equation:

[tex]pH = -log[H3O+] = -log(10^(-13)) = 13.[/tex]

Therefore, the pH of the 0.026 M KOH solution is 12.97.

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Related Questions

Which formula represents an ionic compound ?
1)kcl
2)co2
3)hcl
4)no2

Answers

The chemical formula which represents an ionic compound is KCl or potassium chloride.

What is chemical formula?

Chemical  formula is a way of representing the number of atoms present in a compound or molecule.It is written with the help of symbols  of elements. It also makes use of brackets and subscripts.

Subscripts are used to denote number of atoms of each element and brackets indicate presence of group of atoms. Chemical formula does not contain words. Chemical formula in the simplest form  is called empirical formula.

It is not the same as structural formula and does not have any information regarding structure.It does not provide any information regarding structure of molecule as obtained in structural formula.

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why is freezing-point depression not the preferred method for determining the molar mass of water-soluble solutions?

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Freezing-point depression is not the preferred method for determining the molar mass of water-soluble solutions because it is not always reliable when dealing with complex compounds.

This is because the freezing point of a solution is affected not only by the molar mass of the solute, but also by its solubility and other factors such as the presence of impurities.

Therefore, other methods such as vapor pressure or osmometry are better suited for determining the molar mass of water-soluble solutions, as these methods are more reliable and accurate.

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the rutherford experiment, in which a thin gold foil was bombarded with alpha particles (helium nuclei) showed that:

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The Rutherford Experiment showed that the bulk of atom was concentrated in a tiny nucleus.

The Rutherford Experiment was an experiment conducted by Ernest Rutherford in 1909, in which he bombarded a thin sheet of gold foil with alpha particles ( helium nuclei).

The experiment showed that the bulk of the atom was concentrated in a tiny nucleus, which was composed of positively charged particles, while the vast majority of the atom was empty space. This was contrary to the then prevailing belief that the atoms were solid and homogeneous.

The experiment also showed that the nuclear charge was constant, something that was later confirmed by other experiments.

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The correct question is-

What showed the Rutherford experiment ?

How many kilograms are there in 2.0 x 10-15 grams? In dimensional analysis

Answers

Answer:

2.0 x 10^-21 kilograms

Explanation:

Dimensional analysis is a technique for converting between different measuring units. The procedure is identifying the measurement units involved, figuring out the conversion factor between them, and then utilising the conversion factor to compute the desired outcome.

We need to translate 2.0 x 10-15 grams to kilograms in this instance. One kilograms is equivalent to 106 grams. In order to find the kilograms. We can divide the amount of grams by 106:

2.0 x 10-15 grams per 106 is 2.0 x 10-15 kilograms per 106 grams, or 2.0 x 10-21 kilograms.

Consequently, 2.0 x 10-15 grams are equal to 2.0 x 10-21 kilos.

Is the name for a vertical column in the periodic table

Answers

Groups while the horizontal ones are called Periods

please help i’ll give you brainiest!!

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0.613 atm is pressure of system

Explain what an ideal gas is.

The definition of an ideal gas is a gas in which the volume of the molecules and the forces between the molecules are so negligible as to have no impact on the behaviour of the gas.

The ideal gas law, also known as the perfect gas law, describes the relationship between a gas's pressure P, volume V, and temperature T in the range of low pressures and high temperatures when the gas's molecules move essentially independently of one another. The ideal gas law, also referred to as an equation of state in this context, applies to all gases:

PV = nRT

P = ?

V = 35L

R = 0.0821 L*atm/ mol*K

T = 97 degree celcius

n = 2.7 moles

P = nRT/V

P = 2.7* 97*0.082/ 35

P = 0.613 atm

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suppose two -l tanks are to be filled separately with the gases helium and hydrogen. what mass of each gas is needed to produce a pressure of atm in its respective tank at ?

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The mass of each gas is needed to produce the pressure of 135 atm in the respective tank at 24 °C is mass of helium  = 4426.92 g and the mass of hydrogen gas = 2213.46 g

The Pressure = 135 atm

The Temperature = 24 °C = 297.15 K  

The Volume = 200 L

The Number of moles = ?

The ideal gas equation is expressed as:

PV = nRT

where,  

P is the pressure

V is the volume

n is the number of moles

T is the temperature  

R is Gas constant having value = 0.082 L.atm/K.mol

135 atm × 200 L = n × 0.082 L.atm/K.mol × 297.15 K  

n = 1106.73 moles

The molar mass of  helium gas =  4 g/mol

The molar mass of hydrogen gas =  2 g/mol

The mass of hydrogen = moles × molar mass

                                      = 1106.73 × 2

                                      = 2213.46 g

The mass of helium = moles × molar mass

                                  = 1106.73 × 4

                                  = 4426.92 g

This question is incomplete, the complete question is :

Suppose two 200.0-L tanks are to be filled separately with the gases helium and hydrogen. What mass of each gas is needed to produce a pressure of 135 atm in its respective tank at 24 °C?

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If the caffeine concentration in a particular brand of soda is 3.91 mg/oz, drinking how many cans of soda would be lethal?
Assume that 10.0 g of caffeine is a lethal dose, and there are 12 oz in a can.

Answers

Based on its caffeine concentration, the number of soda cans that would be lethal for the person drinking the soda is 131 cans of soda.

What is caffeine toxicity?

Caffeine toxicity produces symptoms such as:

Headache, dizziness, anxiety, agitation, trembling, tingling in the perioral region and in the extremities, disorientation, psychosis, and seizures are all symptoms of the central nervous system (CNS).

The mass of caffeine in a drinking can of soda is 3.91 mg/oz * 12 = 46.92

The number of cans of soda that will contain 10.0 g of caffeine is calculated as follows:

10.0 g of caffeine = 10 * 1000 mg

10.0 g of caffeine = 10000 mg

The number of cans that will be lethal = 10000 / 46.92

The number of cans that will be lethal = 213 cans of soda

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Formulate a real-life situation and solved which involves multiplication of polynomials and division of polynomials. Use the rubric provided to rate your work. ​

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A real-life situation where multiplication and division of polynomials needs to be solved could be the following:

Tom is a carpenter and he needs to calculate the volume of a cuboid-shaped object he is constructing. The object has a length of 5x^2 + 6x - 2, a width of 3x - 2, and a height of 4x + 1. Tom needs to calculate the total volume of the object and rate his work with the rubric provided.

The volume of the object can be calculated by multiplying the length, width, and height together:

(5x^2 + 6x - 2)(3x - 2)(4x + 1)

The total volume can be simplified to 60x^3 + 4x^2 - 18x - 10. Tom can then use the rubric provided to rate his work.

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Jade's basketball team is choosing a color for their new uniforms. They have a catalog from a vendor with 17 choices. Jade's teammates have already ruled out 9 of the colors. They choose 1 of the remaining colors at random. Assuming that is one of the available colors, what is the probability that the color blue will be chosen?

Answers

The probability that the color blue will be chosen is 2/8 or 1/4, since there are 8 colors remaining after 9 have been ruled out and 2 of those are blue.

Because 9 colors have been eliminated, there are now 17 - 9 = 8 colors remaining. Because two of the eight hues are blue, the chance of selecting blue is 2/8, which simplifies to 1/4.

Another way to look at it is that there are 17 different colors to pick from, and two of them are blue, so the likelihood of selecting blue if all colors were available is 2/17. But, because 9 colors have been ruled out, the probability must be recalculated using the new total of 8, yielding a probability of 1/4.

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How many Liters of gas is 3.21 x 1024 molecules of carbon monoxide?

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5.33 moles Liters of gas is 3.21 x 1024 molecules of carbon monoxide.

1 mole contains 6.02×[tex]10^{23}[/tex]

X×6.02×[tex]10^{23}[/tex] = 3.21×[tex]10^{23}[/tex]

X= 3.21×/6.02×[tex]10^{23}[/tex] = 0.533×10= 5.33 moles

A molecule is a collection of two or greater atoms held together by attractive forces called chemical bonds; relying on context, the term can also or might not consist of ions that fulfill this criterion.

A molecule may be homonuclear, this is, it includes atoms of one chemical element, e.g. atoms inside the oxygen molecule (O2); or it may be heteronuclear, a chemical compound composed of a couple of detail, e.g. water ( hydrogen atoms and one oxygen atom; H2O). within the kinetic theory of gases, the time period molecule is frequently used for any gaseous particle no matter its composition. This relaxes the requirement that a molecule includes extra atoms because the noble gases are character atoms.

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What type of reaction takes place between methane and chlorine

Answers

Answer:

Substitution reaction

Explanation:

Methane (CH4) on reaction with Chlorine (Cl2) undergoes substitution reaction.

CH4+Cl2 -----------> CH3Cl+HCl is the reaction

How many moles of copper are in 8 x 10^24 atoms of copper?

Answers

13.2 moles of copper are in 8 x 10^24 atoms of copper.

What does Avogadro's number mean?

We may determine the number of particles in 1 mole (or mol) of a substance using Avogadro's number. These particles can be atoms, molecules, or electrons. Avogadro's number is equivalent to around 6.022140857*10^23 mol1. Depending on the substance and the nature of the reaction, the units could be electrons, atoms, ions, or molecules.

The ratio of a substance's given mass in a chemical reaction to the mass of one mole of that material is the number of moles of that substance. A mole of any substance is equal to 6.023 *10^23, or Avogadro's number. Additionally, it is employed to express concentration measurements like mole per litre and molecular weight.

No of moles of copper will be 8*10^24 / 6.023*10^23

i.e. 13.2 moles of copper

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when a parcel of air expands and cools, or compresses and warms, with no interchange of heat with its outside surroundings, this situation is called a(n) process. a. coalescence b. bergeron c. evaporation d. adiabatic

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When a parcel of air expands and cools, or compresses and warms, with no interchange of heat with its outside surroundings, this situation is called d. Adiabatic.

Temperature adjustments in each ascending and descending air parcels arise with none sizable warmth alternate among the encompassing surroundings and the vertically shifting parcel of air. The warming and cooling costs for a parcel of increasing or compressing air are termed adiabatic. An adiabatic technique is one in which no warmth is exchanged among an air parcel and the encompassing air. When we communicate approximately an adiabatic technique withinside the present day context we're speaking approximately a rising (or sinking) parcel of air that isn't always replacing any warmth with its surroundings.

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a 12.5 ml portion of this solution was transferred to another 100.0 ml volumetric flask. i. what is the molarity of this 12.5 ml portion? is concentration (here measured by molarity) an extensive or intensive property?

Answers

The quantity of solute molecules present in a given number of litres of solution, or moles per litre, is referred to as molarity, also known as molar concentration. 0.125 ml is the molarity of this 12.5 ml portion.

given,

12.5ml/100.0ml=0.125 ml

Molarity (M), which displays the number of moles of solute per litre of solution (moles/Litre), is one of the most often used units to measure the concentration of a solution. The term "molarity" is a unit of measurement that may be used to estimate a solvent's volume or quantity of a solute.

The connection between two solutions having the same number of moles of solute may be expressed by the formula C₁V₁= C₂V₂, where c is concentration and V is volume.

Components that dissolve in a solvent to create a solution are known as solutes. Liquid, gaseous, and solid states are the three possible states for a solute. A solution's solute content is typically lower than its solvent content.

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. Afternoon rainstorms are common in the rainforest but not in the desert. What is one factor that make deserts less likely to have an afternoon rainstorm? O Low humidity O Low wind and speeds High air pressure O High temperatures ​

Answers

Answer:

Humidity—water vapor in the air—is near zero in most deserts. Light rains often evaporate in the dry air, never reaching the ground. When the air sinks it creates an area of high pressure. These high-pressure areas experience very dry and warm conditions resulting in a hot desert climate (eg the Sahara and Kalahari deserts). Winds blow from areas of high to low pressure, which transfers the air from where it is sinking to where it is rising.

Temperatures exhibit daily extremes because the atmosphere contains little humidity to block the Sun's rays.

yes yes

11. What state is this substance in at 100 degrees, and how do you know?

Answers

The boiling point is the temperature at which liquids begin to boil.The temperature stays constant as the liquid begins to boil until all of the liquid has been transformed into a gas.Water typically boils at a temperature of 100oC.

What does the substance look like at 100 C? The boiling point is that temperature.Once the liquid begins to boil, the temperature doesn't change until all of the liquid has been transformed into a gas.Water normally reaches its boiling point at 100oC.If the melting and boiling points of an object are known, its state at a particular temperature can be predicted.How to solve this is outlined in the table.The temperature at which oxygen melts and boils is both -218°C.VAPORIZATION .Water molecules become dissociated from the forces holding them together in the liquid state when it reaches its boiling point of 100oC.As a result, the liquid turns into a gas and is vaporized.

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extra step here! can you catch it while dropping off your recycling you are over come by the urge to weigh the tin cans you brought in. you find that the mass of cans in the box you brought had a mass of 23kg. how many moles do you have

Answers

55.845 g/mol of the mass of cans in the box we brought had a mass of 23kg. 411.74 mol moles we have.

To determine the number of moles of tin cans you have, we need to know the molar mass of the metal that the cans are made of. Tin cans are usually made of steel, which is an alloy made primarily of iron and carbon, with small amounts of other elements.

To convert the mass of the cans (23 kg) to moles, we need to use the following formula:

moles = mass / molar mass

moles = 23,000 g / 55.845 g/mol = 411.74 mol

Therefore, the number of moles of iron in the 23 kg of tin cans is approximately 411.74 mol.

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a sample of ethane, c2h6 is found to contain 3.00 x 1022 atoms of h. how many molecules of c2h6 are present?

Answers

Total 5×10²¹ molecules of C₂H₆ are present in a sample of ethane which contain 3.00 x 10²² atoms of hydrogen.

We have a sample of ethane. Number of hydrogen atoms contain in C₂H₆ = 3.00 x 10²² atoms. Let us consider a reaction,

C₂H₆ → 2C+ 6H

From the equation, there is two carbon atoms and six hydrogen atoms. That means one molecule of ethane contains six hydrogen atoms. Six H-atoms are present in the no. of molecules of C₂H₆

= 1 molecule

3.00 x10²², H-atoms are present in the no. of molecules of C₂H₆= (3x10²²)/6 molecule

= 0.5×102²² molecule

= 5 × 10²¹ molecule

Hence, required number of molecules are 5×10²¹ molecule.

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HELP ME SOMEBODY PLEASE HELP!


a stream traveling at 5cm/s slows to 0.04cm/s. Which particle size deposit first?

Answers

The particle size that deposits first in a stream that slows from 5 cm/s to 0.04 cm/s is determined by the settling velocity of the particles, which is a function of the particle size, shape, and density, and the fluid velocity.  It is likely that the larger and denser particles will deposit first in the stream as it slows from 5 cm/s to 0.04 cm/s.

What is meant by settling velocity?

Settling velocity is the speed at which a particle will sink to the bottom of a fluid due to gravity. Particles with a higher settling velocity will settle faster than those with a lower settling velocity.

What if the fluid velocity decreases?

If the fluid velocity decreases, the relative velocity between the fluid and the particles also decreases. This can make it easier for particles to settle out of suspension and deposit at the bottom of the fluid.

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what force is caused at transform boundaries

Answers

At transform boundaries, the movement of tectonic plates is horizontal, causing a force known as shear stress. This shear stress results in friction and the buildup of energy that is eventually released as earthquakes along the boundary.

HELP ASAP. Due at 11:59 pm ET.

Answers

Spectator ions are dissolved ions present in double replacement reactions which produce a precipitate that are not part of the precipitate.The spectator ions in the redox reaction are Na+ and NO₃⁻.

What are spectator ions ?

A spectator ion is an ion that is present in solution both before and after a chemical reaction but does not participate in it. The net ionic equation is a chemical equation that only depicts the elements, compounds, and ions that are directly involved in the chemical reaction.

When NaCl and AgNO3 aqueous solutions are combined, four different ions move around in the water. They are the ions Na+, Cl-, Ag+, and NO3 -.

Thus, The spectator ions in the redox reaction are Na+ and NO₃⁻.

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colligative properties depend only on solute concentration; the identity of the solute is not important. t/f

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The statement, "colligative properties depend only on solute concentration; the identity of the solute is not important" is true.

Generally, colligative properties are defined as the properties of solutions that depend only on the total number of soluble particles ( which includes molecules or ions), and not on nature of solute particles present in the solution are known as Colligative properties.

Alternatively also colligative properties of solutions can be defined as the properties that depend upon the concentration of solute molecules or ions, but not upon the identity of the solute. Colligative properties usually includes vapor pressure lowering, boiling point elevation, freezing point depression, and osmotic pressure.

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some metals are used in surgical implants. go to the asm handbook to find the tensile strength and yield strength of 316 stainless steel (annealed or cold worked). provide the answer and citation.

Answers

I don’t have the ASM Handbook. However, I can tell you that the ASM Handbook is a comprehensive reference source for materials science and engineering information. The tensile strength and yield strength of 316 stainless steel (annealed or cold worked) can be found in Volume 2, Properties and Selection: Nonferrous Alloys and Special-Purpose Materials, under the section on stainless steels.

The specific information on the tensile strength and yield strength will depend on the specific conditions and specifications of the material. The citation for the information can be found in the ASM Handbook.

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A group of students collects data to determine whether compounds were ionic or covalent. They placed each compound in a

small bowl and stuck two open ends of a battery-powered circuit in the compound,

CO2 (s)

KCI (s)

CaO (S)

Compound

Conductive

SIO2 (s)

No

No

No

No

Based on the student's data, can they determine which substances are ionic, and which are covalent?

A No, as ionic compounds are only conductive in an aqueous (water) solution

B Yes, as all of these compounds are ionic since they are not conductive.

No, as covalent compounds are only conductive in an aqueous (water) solution

Yes, as all of these compounds are covalent since they are not conductive

Answers

Yes, as all of these compounds are covalent since they are not conductive.

Based on the information provided by the students, it is not possible to determine whether the compounds are ionic or covalent by solely examining their conductivity. The students tested the conductivity of the compounds in their solid form, but the conductivity of a compound does not necessarily indicate its type of bonding. Ionic compounds can be conductive in an aqueous solution, but not in their pure solid form, while covalent compounds are typically not conductive in either form. The fact that none of the compounds are conductive in the students' experiment does not mean that they are covalent. To determine the type of bonding in a compound, other factors such as chemical formula, crystal structure, and electronegativity difference between the elements must be considered.

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How many moles are in 55g of NH3(g)?​

Answers

Answer:

1 grams NH3 is equal to 0.058718113128665 mole. Note that rounding errors may occur, so always check the results. Use this page to learn how to convert between grams NH3 and mole.

Explanation:

give 10 ways on how to conserve energy

Answers

Answer:

Explanation:

Use energy-efficient appliances and light bulbs.

Unplug electronics when they're not in use.

Set your thermostat to a lower temperature in the winter and a higher temperature in the summer.

Seal air leaks around windows and doors.

Use a programmable thermostat to automatically adjust the temperature.

Wash clothes in cold water.

Use a clothesline or drying rack instead of a clothes dryer.

Turn off lights when leaving a room.

Plant trees or install shading devices to block the sun's heat.

Drive less and carpool or use public transportation more.

aqueous magnesium chloride is mixed with aqueous sodium phosphate.

Answers

A solid precipitate containing phosphorus develops when sodium phosphate and magnesium chloride are combined as aqueous solutions. Aqueous sodium phosphate is combined with aqueous MgCl.

Phosphorus is a relatively extensively distributed element, ranking 12th in terms of abundance in the crust of the Earth, where it contributes roughly 0.10 weight percent. One of its atoms exists for every normal silicon atom in the cosmos. Due to its great chemical reactivity, it cannot exist in a free state (except in a few meteorites). The phosphate ion is the only way that phosphorus may exist. The phosphate salts are the primary combination forms in nature. Apatites, which have the chemical formula [Ca10(PO4)6(F, Cl, or OH)2], are the main source of phosphorus among the about 550 distinct minerals that have been found to contain the element. Apatites include calcium ions, phosphate ions, and varying amounts of fluoride, chloride, or hydroxide ions.

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The complete question is:

When aqueous solutions of sodium phosphate and magnesium chloride are mixed together, a solid precipitate forms that contains phosphorus.

what is the entropy change of the reaction below at 298k and 1 atm pressure? n2(g) 3h2(g) ----> 2nh3(g) s(j/mol x k) 191.5 130.6 192.3

Answers

The entropy change of the reaction at 298K and 1 atm pressure is -198.7 J/K. This is calculated by subtracting the entropy of the reactants (191.5 + 130.6 = 322.1 J/K) from the entropy of the products (192.3 J/K), resulting in a change in entropy of -198.7 J/K.

The entropy change of a reaction is an important thermodynamic property that can be used to determine the spontaneity of a process. Entropy is a measure of the disorder or randomness of a system, and a reaction's entropy change is the difference between the entropy of the reactants and the entropy of the products. Generally, an exothermic reaction (in which more energy is released than is required for activation) will have a negative entropy change, indicating a decrease in disorder.

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Help what is the answer??

Answers

If 65.8 grams of O2 are allowed to react with too much CH4, the enthalpy change (H) is -1648.11 kJ.

What exactly is a chemical reaction?

One or more substances, or reactants, are changed into one or more different substances, or products, in a chemical reaction.

The following response is

CO2 + 2H2O = CH4 + 2O2 + g (g) ΔH = -802 kJ

Using this formula, we can determine how many moles there are.

Given Mass/Molar Mass x Number of Mole

Here,

If oxygen weighs 65.8 g, then

Oxygen's molar mass is 16 g/mol.

Now,

Given Mass/Molar Mass x Number of Mole

= 65.8/16

= 4.11 moles

802 kJ of energy are given off by 2 moles of oxygen.

Therefore, 4.11 moles of O2 releases =

= 1648.11 kJ

As a result, enthalpy change (H) = -1648.11 kJ.

The complete question is,

Think about the following thermochemical formula:

CH4 (g) + 2 O2(g) CO2 (g) + 2 H2O (g) ΔH = -802 kJ

If 65.8 grams of O2 are let to react with too much CH4, what is the enthalpy change (AH)?

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a = [1 0 -4 0 3 -2 -2 6 3] b = [4 1 -4] Denote the columns of A by a1, a2, a3, and let W = Span {a1, a2, a3,}. is b in {a1, a2, a3,}? how many vectors are in {a1, a2, a3,}? is b in W? How many vectors are in W? Show that a1 is in W.[ hint: row operations are unneceassary.] Normal entries for accounts During the month. Gates Labs Co. has a substantial number of transactions affecting each of the following accounts. State for each account whether it is likely to have (a) debit entries only, (b) credit entries only, or (c) both debit and credit entries. Accounts Payable Accounts Receivable Cash Fees Earned Insurance Expense Miriam Ramsey, Drawing Utilities Expense The temperature in Duluth, Minnesota was -23F at sunrise. By noon, the temperature had risen 19 degrees. What was the temperature (in degrees Fahrenheit) at noon? The double number line shows that Henrik has a mass of 60\,\text{kg}60kg60, start text, k, g, end text. A double number line with 2 tick marks. The line labeled Mass, kilograms, reads from left to right: 0, 60. The line labeled Percentage, reads from left to right: 0 percent, 100 percent. A double number line with 2 tick marks. The line labeled Mass, kilograms, reads from left to right: 0, 60. The line labeled Percentage, reads from left to right: 0 percent, 100 percent. Complete the table to show different percentages of Henrik's mass. Mass (\text{kg}kgstart text, k, g, end text) Percentage 100\%100%100, percent of 60\,\text{kg}60kg60, start text, k, g, end text 20\%20%20, percent of 60\,\text{kg}60kg60, start text, k, g, end text 40\%40%40, percent of 60\,\text{kg}60kg60, start text, k, g, end text 2 Cons about Homo sapiens hud, co. had a beginning retained earnings of $27,875. for the year, the company had net income of $4,790 and paid dividends of $1,600. the company also issued $3,000 in new stock during the year. what is the ending retained earnings balance? The sit & reach test measures flexibility of what muscle? something2730 (question 7 only) #1 Taylor has been thinking aboutbuying a new surfboard and hasbeen saving the money from herpart-time job for the last couple ofyears. She finally has enough toget the surfboard but when shevisita the store, she discovers thatthe prices of surfboards have goneup by 10% over the past two years.Phase of the Business CycleExplanation Identify the relationship between the following compounds.A) stereoisomers B) same compound C) different compoundsD) constitutional isomers rutherford's experiment was important because it showed that: A) Atomic NucleusB) ElectronC) ProtonD) Neutron 5 subtracted from 1/3 of 20IN FRACTIONS Taylor invested PhP 100,000 at a rate of 5.8%. If the rate is compounded yearly, how much investment should she have after 3.5 years? Estimate the local maximum of y=2x3+x27x6. In the following, XandY represent data that needs to be modeled asY=aXm, where m can be negative or positive, and a > 0. Y contains noise, so we need to use least square interpolation. Using the supplied data, calculate a and m for the power law that best fit the data. In the solution submitted via Gradescope explain the choice for the variable transformation that you decided to use. evaluate the integral using integration by parts with the indicated choices of u and dv. (use c for the constant of integration.) xe5x dx; u consider the matrix below. are the column vectors of this matrix linearly independent or linearly dependent? show all explanations or computations.| 1 0 5 || -2 1 -6 || 0 2 8 | How many subsets are there of the set N = {1}? the adjusting entry to record interest earned during the period includes a: multiple choice debit to cash. credit to cash. credit to interest revenue. debit to interest expense. an object placed in a graduated cylinder raises the volume from 12.2mL to 14.5mL. Find the volume of the object