a 30.00-ml sample of 0.125 m hcooh is being titrated with 0.175 m naoh. what is the ph after 21.4 ml of naoh has been added? ka of hcooh

Answers

Answer 1

The pH of the solution after 21.4 mL of NaOH has been added is 3.75.

What is the pH of the solution?

HCOOH (formic acid) is a weak acid, so we can use the Henderson-Hasselbalch equation to calculate the pH of the solution at any point during the titration.

The Henderson-Hasselbalch equation is:

pH = pKa + log([A-]/[HA])

where;

pKa is the acid dissociation constant, [A-] is the concentration of the conjugate base (in this case, HCOO-), and [HA] is the concentration of the acid (in this case, HCOOH).

At the beginning of the titration, before any NaOH has been added, the solution contains only HCOOH and its conjugate base, HCOO-.

The concentration of HCOOH is 0.125 M, and the concentration of HCOO- is 0.

We can calculate the pH using the Henderson-Hasselbalch equation:

pH = pKa + log([A-]/[HA])

pH = -log(1.8 x 10⁻⁴) + log(0/0.125)

pH = 2.74

At the equivalence point, all of the HCOOH has been converted to HCOO- by the addition of NaOH, so the pH will be determined by the concentration of the resulting salt. Since HCOO- is the conjugate base of a weak acid, it will undergo hydrolysis to a small extent, producing OH- ions and raising the pH.

However, we are not at the equivalence point yet.

To find the pH after 21.4 ml of NaOH has been added, we need to first calculate how many moles of NaOH have been added. We know the concentration of the NaOH solution (0.175 M) and the volume that has been added (21.4 mL = 0.0214 L), so we can calculate the number of moles of NaOH:

moles NaOH = concentration x volume

moles NaOH = 0.175 M x 0.0214 L

moles NaOH = 0.003745

Since NaOH reacts with HCOOH in a 1:1 ratio, we know that 0.003745 moles of HCOOH have been neutralized.

This means that there are 0.125 - 0.003745 = 0.121255 moles of HCOOH remaining in the solution.

We also know that 21.4 mL of NaOH has been added to 30.00 mL of HCOOH, so the total volume of the solution is now 51.4 mL.

We can use the moles of HCOOH and the total volume to calculate the concentration of HCOOH:

concentration = moles/volume

concentration = 0.121255/0.0514

concentration = 2.357 M

We can use this concentration and the concentration of the conjugate base (which is equal to the number of moles of NaOH added divided by the total volume) to calculate the pH using the Henderson-Hasselbalch equation:

pH = pKa + log([A-]/[HA])

pH = -log(1.8 x 10⁻⁴) + log(0.003745/2.357)

pH = 3.75

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The complete question is below:

a 30.00-ml sample of 0.125 m hcooh is being titrated with 0.175 m naoh. what is the ph after 21.4 ml of naoh has been added? ka of hcooh is 1.8 x 10⁻⁴


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what is the expected color of the starch complex formed during this experiment?(A) The.correct answer is not shown. (B) orange-red (C) green (D) blue-black (E) yellow

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Answer: d. H2O

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How many moles of gas does it take to occupy 120 liters at a pressure of 2.3 atmospheres and a temperature of 350 K?
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Answers

Answer:

A - 9.6 mol.

Explanation:

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assuming the density of a 5% acetic acid by mass solution is 1.0 g/ml, determine the volume of the acetic acid solution necessary to neutralize 25.0 ml of 0.10 m

Answers

To determine the volume of a 5% acetic acid by mass solution necessary to neutralize 25.0 ml of 0.10 m is 300 mL

To calculate the volume of the acetic acid solution necessary to neutralize, you will use the formula:

M₁V₁ = M₂V₂

Where,

M₁ = molarity of acetic acid

V₁ = volume of acetic acid

M₂ = molarity of sodium hydroxide

V₂ = volume of sodium hydroxideInitially

You need to calculate the moles of NaOH in 25 ml of 0.10 M NaOH;

Molarity (M) = 0.10 M

Moles (n) = M × Vn = 0.10 × 25/1000n = 0.0025 mol of NaOH

To neutralize NaOH, you need the same number of moles of acetic acid;

1 mol of NaOH reacts with 1 mol of acetic acid0.0025 mol NaOH reacts with 0.0025 mol acetic acid

Concentration of acetic acid = 5%

Mass of acetic acid in 100 ml of solution = 5 g

Density of solution = 1.0 g/ml

Therefore, volume of acetic acid solution that is necessary to neutralize 25.0 ml of 0.10 m

V = (0.0025 mol acetic acid) x (60.05 g acetic acid/1 mol acetic acid) x (1/5 g acetic acid in 100 ml of solution) x (1000 ml/1 L) x (1/1.0 g/ml)

V = 0.30 L of acetic acid solution

V = 300 mL of acetic acid solution (3 significant figures)

Hence, the volume of the acetic acid solution necessary to neutralize 25.0 ml of 0.10 m is 300 mL.

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H2O and CH4 are inorganic substances, whereas C3H6, C22H24, and NO2 are organic substances.

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Answers

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Eight moles of glucose have been oxidized under aerobic conditions, and we need to find the total moles of  CO2 produced.

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74. 5 g of KCl was dissolved in 1000. ML of water. What is the

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Answers

The molarity of the solution is 1.0 m

The first step is to convert the mass of KCl to moles:

Number of moles of KCl = 74.5 g / 74.5 g/mol = 1.0 mol

Next, we need to calculate the mass of water in kilograms:

Mass of water = 1000 mL x 1 L/1000 mL x 1 kg/L = 1 kg

Now we can calculate the molality of the solution:

Molality = moles of solute / mass of solvent (in kg)

Molality = 1.0 mol / 1 kg = 1.0 m

Therefore, the molality of the solution is 1.0 m.

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which of these groups of particles has the greatest mass? which of these groups of particles has the greatest mass? a helium nucleus with two protons and two neutrons four electrons four individual protons

Answers

The helium nucleus with two protons and two neutrons has the greatest mass. This is because protons and neutrons have much greater mass than electrons. The nucleus of a helium atom is made up of two protons and two neutrons, so it has a greater mass than four individual protons.
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A nucleus is the center of an atom, containing positively charged protons and uncharged neutrons. It's where almost all of an atom's mass is located. Electrons, which are negatively charged particles that orbit the nucleus in shells, are also present in an atom. The mass of an atom is largely determined by the mass of its nucleus, which is made up of positively charged protons and uncharged neutrons. Since the helium nucleus is composed of two protons and two neutrons, it is the group of particles with the greatest mass. Thus, out of the given groups of particles, a helium nucleus with two protons and two neutrons has the greatest mass.

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temperature decreasing is what causes the crystals to form on the wooden stick?

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As the temperature drops, the sugar crystallizes because a supersaturated solution is unstable and contains more solute (in this case, sugar) than can remain in solution. The more molecules that link the sugar crystals at a low temperature, the more rock candy is formed.

three metals, a, b and c, of equal mass, have heat capacities of 0.3 j/goc, 0.4 j/goc, and 0.5 j/goc, respectively. which of these metals will have the largest increase in temperature if the same amount of heat is added to the each of their systems?

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The metal that will respond to the added temperature by increasing is metal A because it has the lowest heat capacity.

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The metal with the smallest heat capacity will have the largest increase in temperature if the same amount of heat is added to each of their systems. This is because metals with smaller heat capacities require less heat energy to increase their temperature compared to those with larger heat capacities.

Therefore, metal A with the heat capacity of 0.3 J/g°C will have the largest increase in temperature if the same amount of heat is added to each of their systems, followed by metal B with 0.4 J/g°C and metal C with 0.5 J/g°C.

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A gas mixture contains each of the following gases at the indicated partial pressures:
N2= 215 torr
O2= 102 torr
He= 117 torr
a) What is the total pressure of the mixture?
b) What mass of each gas is present in a 1.35 L sample of this mixture at 25.0 C ?

Answers

a) The total pressure of the mixture is 434 torr

b) The mass of each gas is, N₂ = 40.56 g, O₂ = 21.76 g, He = 3.20 g

a) The total pressure of the mixture is calculated by adding all the values of partial pressures of the N₂, O₂, and He

215 torrs of N₂ + 102 torr of O₂ + 117 torr of He

= 434 torr

Thus, the total pressure of the mixture is 434 torr

b) The mass of each gas in the 1.35 L sample of the mixture at 25.0 C can be calculated using the ideal gas law: PV = nRT.

The amount of each gas present is equal to the total moles of gas, n, in the sample.

n = (PV)/(RT)

where P is the partial pressure of the gas in the mixture,

V is the volume of the sample (1.35 L),

R is the ideal gas constant (0.08206 L atm mol⁻¹ K⁻¹), and

T is the temperature in Kelvin (298.15 K).

For N₂: n = (215 torr x 1.35 L)/(0.08206 L atm mol⁻¹ K⁻¹ x 298.15 K) = 1.45 moles
For O₂: n = (102 torr x 1.35 L)/(0.08206 L atm mol⁻¹ K⁻¹ x 298.15 K) = 0.68 moles
For He: n = (117 torr x 1.35 L)/(0.08206 L atm mol⁻¹ K⁻¹ x 298.15 K) = 0.80 moles

The mass of each gas is equal to the moles multiplied by the molar mass of the gas:

For N₂: 1.45 moles x 28.01 g/mol = 40.56 g
For O₂: 0.68 moles x 32.00 g/mol = 21.76 g
For He: 0.80 moles x 4.00 g/mol = 3.20 g

Thus, the mass of each gas is, N₂ = 40.56 g, O₂ = 21.76 g, He = 3.20 g.

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a burette has an initial reading of 3.50 ml. an experimenter opens the stopcock and after some time closes it recording a new burette reading of 12.75 ml. the experimenter repeats this two more times recording new readings of 15.60 ml and 17.25 ml. what is the total ml of titrant that has been dispensed from the burette.

Answers

The total volume (in ml) of the titrant that has been dispensed from the burette is 13.75 ml.

What is a burette?

A burette is a laboratory apparatus that is used in analytical chemistry to dispense a liquid reagent in a precise and controlled volume to conduct experiments. It consists of a graduated glass tube with a stopcock at the bottom and a funnel at the top that is attached to a burette stand.

Titrant refers to a solution of known concentration that is slowly added to a solution of unknown concentration until a reaction has been completed. When the reaction has been completed, the amount of titrant that has been added is calculated from the burette readings and used to determine the concentration of the unknown solution given that the reaction equation is known.

Here, initial burette reading (Vi) = 3.50 ml, final burette reading (Vf) after first addition = 12.75 ml

Volume of titrant used in the first addition = Vf - Vi = 12.75 ml - 3.50 ml = 9.25 ml

Final burette reading (Vf) after second addition = 15.60 ml

Volume of titrant used in the second addition = Vf - Vi = 15.60 ml - 12.75 ml = 2.85 ml

Final burette reading (Vf) after third addition = 17.25 ml

Volume of titrant used in the third addition = Vf - Vi = 17.25 ml - 15.60 ml = 1.65 ml

The total volume of titrant that has been dispensed from the burette is the sum of the volume of titrant used in all three additions. Therefore, Total volume of titrant = Volume of titrant in first addition + Volume of titrant in second addition + Volume of titrant in third addition= 9.25 ml + 2.85 ml + 1.65 ml= 13.75 ml

Hence, the total ml of titrant that has been dispensed from the burette is 13.75 ml.

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Did the control experiment verify or refute the results from exercise 1? use your results from exercises 1 and 2 to validate your answer.

Experiment 1 E Data Table 1 B Data Table 2 Data Table 1: Antacid Neutralization Data Mass of 0. 59 Crushed Antacid (9) Concentration 1. 0 of HCI (M) Volume HCI 5. 0 (mL) Concentration 1. 0 of NaOH (M) Initial NaOH 9. 4 mL Volume (mL) Final NaOH 8. 2 mL Volume (mL) Total Volume 1. 2 mL of NaOH Used (mL) Experiment 1 Data Table 1 Data Table 2 Data Table 2: Experimental Results I 0. 1825 g 0. 0012 HCl available for neutralization (g): Moles of NaOH required to reach stoichiometric point (mol): HCI neutralized by antacid (g): НСІ neutralized per gram of antacid (9) 0. 1387 0. 2774 Experiment 2 El Data Table 3 B Data Table 4 Data Table 3: Control Experiment Data Concentration 1. 0 of HCI (M) Volume HCI 5. 0 (mL) Concentration 1. 0 of NaOH (M) Initial NaOH 9. 2 mL Volume (mL) Final NaOH 3. 6 mL Volume (mL) Total Volume 5. 6 mL of NaOH Used (mL) Data Table 4: Control Experiment Results 0. 2049 Moles of 0. 0056mol NaOH needed to neutralize 5. 0 mL of 1. OM HCI (mol): Grams of HCI neutralized (g): NaOH 4. 4mL volume difference between back titration and control (ml): Grams of 0. 160g HCI neutralized by NaOH volume difference (9)

Answers

Volume difference between back titration and controlHCI neutralized by NaOH volume difference is 0.0056 moles.

Given,

* Mass of Antacid = 0.5g

* [HCl] = 1M

* [tex]V_{HCl}[/tex] = 5 ml (pipetted out)

* [NaOH] = 1M

* [tex]V_{NaOH}[/tex] - 1.2 ml (consumed)

* Amt. of HCl avaliable for neutralisation = 0.1825 g

* No. of moles of NaOH req. to reach eq. point = 0.0012

* Amt. of HCl neutralised by antalid = 0.1387 g

* Amt. of HCl neutralised by antalid = 0.1387 g

* Amt. of HCl neutralised per gram of antalid = 0.1387 g

Solution: [tex]([/tex][tex]N[/tex] × [tex]V[/tex][tex])_{HCl}[/tex] =  [tex]([/tex][tex]N[/tex] × [tex]V[/tex][tex])_{NaOH}[/tex]

               (1 x 5 ) =  [tex]([/tex][tex]1[/tex] × [tex]V[/tex][tex])_{NaOH}[/tex]

             = [tex]V(NaOH)[/tex] = ( 1 x 5) / 1 = 5ml

In control expt. data  [tex]V(NaOH)[/tex] = 5.6ml

But in given data, [tex]V(NaOH)[/tex] = 1.2ml

So, Volume diff. of NaOH between back titration and control = 5.6 - 1.2 = 4.4ml

So, given follows

So, 4.4 ml of HCl means,

its Conc. will be equal to, 4.4 x 36.5 / 1000 = 0.1606 g

This is correct in control expt. results

In control expt. data, [tex]V(NaOH)[/tex] = 5.6ml

This corresponds to 5.6 x 40 / 1000 = 0.224g

This correspond to 0.224 / 40 = 0.0056 moles

This is correct in control expt. results.

Titration is a laboratory technique used to determine the concentration of an unknown solution by reacting it with a known solution. It is a quantitative method used to determine the amount of a substance in a sample. Titration is often used in chemistry to determine the concentration of acids, bases, and salts.

In a titration, a measured amount of the unknown solution is slowly added to a known solution of a substance with a known concentration called the titrant. The titrant is added until the reaction is complete, and a color change or other observable change occurs. The point at which the reaction is complete is known as the endpoint, and it is usually determined using an indicator, which changes color when the reaction is complete.

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Which of the following foods are complete proteins?a. bread and butterb. animal foods quinoa, or soyc. almonds, peanuts, or cashewsd. potato and sour cream

Answers

the answer would be B. animal foods, quinoa,or soy.

to what volume should you dilute 49 ml of a 12 m stock hno3 solution to obtain a 0.113 m hno3 solution?

Answers

Answer: To obtain a 0.113 M HNO3 solution, you need to dilute 49 mL of 12 M HNO3 solution to a final volume of 5220 mL (or 5.22 L) by adding enough water to make up the difference.


Explanation: The stock HNO3 solution is 12 M and has a volume of 49 ml.

To get a 0.113 m HNO3 solution, we must dilute it to a certain volume. The volume to which it must be diluted is a mystery.

Let the final volume be V liters. The stock HNO3 solution's volume is 49 mL, which equals 0.049 L.

HNO3's molarity is 12 M.

We must use the formula to calculate the required volume of diluted solution, C1V1 = C2V2

where C1 is the concentration of the stock solution, V1 is the volume of the stock solution used, C2 is the desired concentration of the diluted solution, and V2 is the final volume of the diluted solution.

In this case, we have:

C1 = 12 M

V1 = 49 mL

C2 = 0.113 M

V2 = unknown

Let's do some math.

12 M x 49 mL = 0.113 M x V2

(12 x 0.049) / 0.113 = 5.22 L

The diluted volume is 5.22 L.

The stock HNO3 solution of 49 ml must be diluted to a volume of 5.22 L to obtain a 0.113 m HNO3 solution.

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How many moles of NH3 is produced from 4.8 mol of H₂
N₂ + 3H₂ = 2NH3
How much hydrogen (in kg) is needed to yield 907 kg of ammonia by the Haber process?

Answers

From the balanced equation, we know that 3 moles of H₂ produces 2 moles of NH₃.Therefore, to find the moles of NH₃ produced from 4.8 moles of H₂, we can set up a proportion 3 moles H₂ / 2 moles NH₃ = x moles H₂ / 4.8 moles H₂.

What is a moles ?

In chemistry, mole is a unit of measurement used to express amounts of a chemical substance. It is defined as the amount of a substance that contains the same number of entities (such as atoms, molecules, or ions) as there are in 12 grams of pure carbon-12, which is approximately 6.022 x 10^23 entities. This number is known as Avogadro's number, and it is a fundamental constant in chemistry.

Moles are used to quantify chemical reactions and calculate the amount of reactants needed to produce a certain amount of product, or the amount of product that can be obtained from a given amount of reactants.

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Devise a 6-step synthesis of a carboxylic acid from ethyne using the reagents provided. 1. reagent 1 4. reagent 4 2. reagent 2 5. reagent 5 3. reagent 3 6. reagent 6 H-CEC-H OH Reagent 1 is: Reagent 2 is: Reagent 3 is: Reagent 4 is: Reagent 5 is: Reagent 6 is:

Answers

6-step synthesis of a carboxylic acid.

Reagent 1 forming a vinyl chloride, Reagent 2 forming an acyl chloride, Reagent 3 forming a carbonyl chloride, Reagent 4 forming a carboxylic acid,  Reagent 5 forming a carboxylate anion and Reagent 6 forming the desired carboxylic acid

This question requires a 6-step synthesis of a carboxylic acid from ethyne using the reagents provided. Here is the solution:

Reagent 1 (HCl) is added to ethyne (H-CEC-H), forming a vinyl chloride.Reagent 2 (Hg(OAc)2) is then added to the vinyl chloride, forming an acyl chloride.Reagent 3 (H2O2) is then added to the acyl chloride, forming a carbonyl chloride.Reagent 4 (K2Cr2O7) is then added to the carbonyl chloride, forming a carboxylic acid.Reagent 5 (NaOH) is then added to the carboxylic acid, forming a carboxylate anion.Finally, Reagent 6 (H2SO4) is added to the carboxylate anion, forming the desired carboxylic acid (OH).

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In Part A of this Experiment, which direction did the equilibrium shift when water was added? Explain what caused this shift. Keep in mind that water is not included in the K expression. It may be helpful to examine the hydrolysis of the SbCl3 in your lab manual. K is the equilibrium constant Q Is the reaction quotient Equilibrium shifts remains the same; Q=K Equilibrium shifts in the reverse direction; Q K. The equilibrium shifts in the direction with more moles of aqueous products O Equilibrium shifts in the forward direction; Q< K. The equilibrium shifts in the direction with more moles of aqueous products o Equilibrium shifts in the reverse direction; Q > K. The equilibrium shifts in the direction with less moles of aqueous products

Answers

Equilibrium shifts in the forward direction; Q< K. The equilibrium shifts in the direction with more moles of aqueous products.

How do you know the direction of equilibrium shift?

The direction of an equilibrium shift can be predicted by applying Le Chatelier's principle, which states that when a system at equilibrium is subjected to a stress, the system will shift in a direction that counteracts the stress.

The direction of an equilibrium shift depends on the nature of the stress and the equilibrium constant of the reaction. The equilibrium constant can be used to determine the relative concentrations of the reactants and products at equilibrium, and can also be used to calculate the equilibrium concentrations of the species at a given set of conditions.

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If 50 grams of water are saturated at 90°C with potassium nitrate and then cooled to 40°C, how much will precipitate?

Answers

Answer:

43.1gramms

Explanation:

change the temperatures to kelvin

90--363

40--313

50grams of water are saturated at 90 degree celcius.

then,

50___363

x_____313

then cross multiply

363x=15650

divide both sides by 363

x=43.1gramms

Explain the following observations:a) HCl is a stronger acid than H2Sb) H3PO4 is a stronger acid than H3AsO4c) HBrO3 is a stronger acid than HBrO2d) H2C2O4 is a stronger acid than HC2O−4e) benzoic acid, C6H5COOH, is a stronger acid than phenol, C6H5OH

Answers

a) HCl is a stronger acid than H2S due to weak bond between hydrogen and sulfur.

b) H3PO4 is a stronger acid than H3AsO4 due to smaller size of phosphorous atom than the arsenic atom.

c) HBrO3 is a stronger acid than HBrO2 as the oxidation state of Br in HBrO3 is +5.

d) H2C2O4 is a stronger acid than HC2O−4 as HC2O−4 is a conjugate base of H2C2O4.

e) Benzoic acid, C6H5COOH, is a stronger acid than phenol, C6H5OH due to strong resonance structure.

The following observations can be explained as follows:

a) HCl is a stronger acid than H2SIn hydrogen sulfide (H2S). The bond between hydrogen and sulfur is relatively weak. As a result, this bond is more difficult to break than that between hydrogen and chlorine in hydrogen chloride (HCl). Therefore, HCl is a stronger acid than H2S.

b) H3PO4 is a stronger acid than H3AsO4. The phosphorous atom has a smaller size than the arsenic atom. As a result, the P–O bond is more stable than the As–O bond. This makes the H3PO4 a stronger acid than H3AsO4.

c) HBrO3 is a stronger acid than HBrO2. HBrO3 is a stronger acid than HBrO2 since the oxidation state of Br in HBrO3 is +5. In contrast, Br has an oxidation state of +3 in HBrO2. As a result, the bond between Br and oxygen in HBrO3 is weaker, resulting in a higher acidity than in HBrO2.

d) H2C2O4 is a stronger acid than HC2O−4. HC2O−4 is a conjugate base of H2C2O4. The conjugate base is less acidic than the original acid, according to the conjugate acid-base theory. As a result, H2C2O4 is a stronger acid than HC2O−4.

e) Benzoic acid, C6H5COOH, is a stronger acid than phenol, C6H5OH. Benzene ring has a strong resonance structure due to the presence of electron donating OH- group in phenol. Resonance delocalizes the negative charge formed by the loss of a proton, and it makes it less acidic. The absence of an electron-donating group in benzoic acid allows for more hydrogen ion dissociation, making it a stronger acid than phenol.

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Geothermal energy is produced when water touches _______________.

A oil
B hot rocks
C biomass

Answers

Answer: Hot Rocks

Explanation:

why don’t we change the subscripts in order to balance an equation?

Answers

Answer:

Because if we changed the subscript number we will change the identity of the compound and we Well creat a new compound  or substance different than what they gave us to balance also the law of conservation of mass states that the mass cannot be created nor destroyed.

Explanation:

Describe the parts of a lever. Include the following terms (fulcrum, resistance arm and effort arm).

Answers

Answer:

Explanation:

A lever is a simple machine that can be used to increase the force or distance of an applied effort. The three main parts of a lever are the fulcrum, resistance arm, and effort arm.

Fulcrum: The fulcrum is the pivot point or point of support on which the lever rests. It is the point around which the lever rotates or moves. The position of the fulcrum is important in determining the mechanical advantage of the lever.Resistance arm: The resistance arm is the part of the lever that extends from the fulcrum to the point where the resistance or load is applied. This is the part of the lever that must be moved in order to lift or move the load.Effort arm: The effort arm is the part of the lever that extends from the fulcrum to the point where the effort or force is applied. This is the part of the lever that the user pushes or pulls on in order to move the resistance arm and lift the load.

The mechanical advantage of a lever depends on the ratio of the length of the effort arm to the length of the resistance arm. A longer effort arm will require less force to lift a load, but will require more distance to be moved. Conversely, a shorter effort arm will require more force to lift a load, but will require less distance to be moved.

what do carbon dioxide and methane do for our atmosphere?

Answers

Methane and carbon dioxide are both greenhouse gases that are crucial in controlling the temperature of Earth's atmosphere.

Both natural processes like respiration and volcanic eruptions, as well as human activity like burning fossil fuels, emit carbon dioxide (CO2) into the atmosphere. It aids in keeping the planet warm enough to support life by retaining heat in the atmosphere. Carbon dioxide levels that are too high, however, can exacerbate climate change and global warming.

Methane (CH4) is another greenhouse gas that is emitted into the atmosphere as a result of human activity such as cattle husbandry and natural gas production as well as natural processes such as decomposition. Even though it decomposes more quickly in the atmosphere than carbon dioxide, it is even more efficient at trapping heat.

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an unknown gas effuses at a rate 0.667 times the rate of co₂. what is the molar mass of the unknown gas?

Answers

An unknown gas effuses at a rate 0.667 times the rate of co₂. The molar mass of the unknown gas is 120 g/mol.

The rate of effusion for an ideal gas is proportional to the inverse square root of the gas' molar mass. It's known as Graham's law. Graham's Law explains the rate of effusion of a gas through a small hole into a vacuum. The rate of effusion for an ideal gas is proportional to the inverse square root of the gas' molar mass (relative molecular mass). According to the question, the effusion rate of the unknown gas is 0.667 times that of CO₂.

Let the molar mass of the unknown gas be "x".

Therefore, the effusion rate for the unknown gas is proportional to

.[tex]\[\frac{1}{\sqrt{x}}\].[/tex]

The effusion rate of CO₂ is proportional to \[\frac{1}{\sqrt{44}}\].

Now,

[tex]\[\frac{\text{Effusion rate of the unknown gas}}{\text{Effusion rate of CO}_2}=\frac{0.667}{1}\][/tex]

or,

\[tex]\[\frac{1}{\sqrt{x}}=\frac{0.667}{\sqrt{44}}\][/tex]]

or,

[tex]\[\sqrt{x}=\frac{\sqrt{44}}{0.667}\][/tex]

or,

[tex]\[x=\left ( \frac{\sqrt{44}}{0.667} \right )^{2}\][/tex]

Therefore, the molar mass of the unknown gas is 120 g/mol.

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