calculate the molality of a solition with 85 g of KOH added to 590. g of water

20.8 grams of C2H2 are required to react completely with 2.0 moles of O2.

The balanced chemical equation is: [tex]2C2H2 + 5O2 → 4CO2 + 2H2O[/tex]

The stoichiometry of the balanced equation shows that 2 moles of C2H2 react with 5 moles of O2 to produce 4 moles of CO2 and 2 moles of H2O.

Therefore, the mole ratio of C2H2 to O2 is 2:5.

If 2.0 moles of O2 are completely reacted, then the required moles of C2H2 can be calculated as follows:

2.0 mol O2 x (2 mol C2H2/5 mol O2) = 0.8 mol C2H2

Now, we can use the molar mass of C2H2 to calculate the mass required:

0.8 mol C2H2 x 26.04 g/mol = 20.8 g C2H2

Therefore, 20.8 grams of C2H2 are required to react completely with 2.0 moles of O2.

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The mass of copper sulfate in 30.0 cm3 of this solution is 0.957 g.

The concentration of the copper sulfate solution is given by:

c = n ÷ V

c = 0.100 mol/0.500 dm³

c = 0.200 mol/dm³

To calculate the mass of copper sulfate in 30.0 cm³ of this solution, we first need to calculate the number of moles of copper sulfate in this volume:

n = c x V

n = 0.200 mol/dm³ x (30.0 cm³ ÷ 1000 cm³/dm³)

n = 0.006 mol

The mass of copper sulfate can be calculated using its molar mass:

m = n x Mr

m = 0.006 mol x 159.5 g/mol

m = 0.957 g

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To produce 235 mL of a 1.77 M H₂SO₄ solution from an 18.0 M H₂SO₄ solution, you would need 27.54 mL of the concentrated solution.

To find this, we can use the dilution formula: M₁V₁ = M₂V₂. Here, M₁ is the initial concentration (18.0 M), V₁ is the volume required, M₂ is the final concentration (1.77 M), and V₂ is the final volume (235 mL).

1. Rearrange the formula to solve for V₁: V₁ = (M₂V₂) / M₁
2. Plug in the given values: V₁ = (1.77 M × 235 mL) / 18.0 M
3. Calculate the result: V₁ = 27.54 mL

Therefore, you would need 27.54 mL of the 18.0 M H₂SO₄ solution to produce 235 mL of a 1.77 M H₂SO₄ solution.

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The mass of B1 is one-half of the total mass of the mixture before any salt or water is added.The mass of B1 is 1582.5 lbm.

Mixture is a combination of two or more substances that are not chemically combined. Mixtures can be either homogeneous, meaning the substances are uniformly dispersed, or heterogeneous, meaning the substances are not evenly distributed. Examples of mixtures include sand and water, sugar and water, and salt and pepper.

Since we are given that the total mass of the mixture is 3200 lbm and that 35 lbm of salt will be added, the total mass of the mixture before the salt and water are added is 3165 lbm.Since B2 is 4.5% salt, we can calculate the salt mass of B2 by multiplying 4.5 by the total mass of B2. Thus, the salt mass of B2 is 4.5 * 1582.5 lbm = 7162.5 lbm. Since we are given that 35 lbm of salt will be added, we can calculate the total mass of B2 before the salt and water are added by subtracting 35 lbm from 7162.5 lbm. Thus, the total mass of B2 before the salt and water are added is 7127.5 lbm. e B3 is 5.5% salt, we can calculate the salt mass of B3 by multiplying 5.5.

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The ratio between ethanol and energy in this reaction is 1 mole of C₂H5OH  which is 1367 kJ.

A mole ratio is  described as the ratio between the amounts in moles of any two compounds involved in a balanced chemical reaction.

The balanced chemical equation should be able to provide a comparison of the ratios of the molecules necessary to complete the reaction.

In the molar ratio method, a property of a solution is plotted against the molar ratio of the two reactants, the concentration of one being kept constant.

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Answer:

Explanation:

its 1:-1367 you got it right but you need to put the - sign :)

By mixing toilet bowl cleaner and bleach, a chemical reaction occurs, which releases a potentially toxic gas: chlorine gas. Chlorine gas can cause irritation to the eyes, nose, and throat, as well as difficulty breathing, coughing, and wheezing. The correct answer is 2.

Inhaling high levels of chlorine gas can even lead to chest pain, vomiting, and death. It is important to always read and follow the labels on household cleaning products and never mix different products together, especially those containing bleach and acids. If you accidentally mix these products and experience symptoms of chlorine gas exposure, seek fresh air and medical attention immediately. Hence option 2 is correct.

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Mendeleev's periodic table allows us to predict the chemical properties of elements and their compounds. Let's start with oxides of carbon, which are compounds of carbon and oxygen.

Carbon can form two common oxides: carbon monoxide (CO) and carbon dioxide (CO2). In carbon monoxide, there is one carbon atom and one oxygen atom, so the formula would be written as CO with a subscript of 1 for carbon and a subscript of 1 for oxygen. In carbon dioxide, there is one carbon atom and two oxygen atoms, so the formula would be written as CO2 with a subscript of 1 for carbon and a subscript of 2 for oxygen.

Moving on to aluminum, it also forms oxides. The most common oxide of aluminum is aluminum oxide (Al2O3). In this compound, there are two aluminum atoms and three oxygen atoms. So the formula would be written as Al2O3 with a subscript of 2 for aluminum and a subscript of 3 for oxygen.
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James makes a 260 g solution when he adds 10 g of salt to 250 g of water and stirs until it dissolves.

When James adds 10 g of salt to 250 g of water and stirs until it dissolves, he creates a solution.

A solution is a homogeneous mixture where one substance (the solute) is dissolved in another substance (the solvent). In this case, water is the solvent and salt is the solute. The mass of the resulting solution will be the sum of the mass of the solute and the mass of the solvent.

So, the mass of the resulting solution will be:

Mass of solution = Mass of water + Mass of salt

Mass of solution = 250 g + 10 g

Mass of solution = 260 g

Therefore, James makes a 260 g solution when he adds 10 g of salt to 250 g of water and stirs until it dissolves.

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The pressure inside the car will be approximately 1.16 atm after the temperature increase.

In the solution to this question, we can assume that the temperature increase is isobaric (constant pressure), so we can use the ideal gas law to calculate the final pressure of the car:

PV=nRT

where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.

We know that the amount of gas in the car will remain constant, so we can write:

[tex]P_1V = nRT_1[/tex]

and

[tex]P_2V = nRT_2[/tex]

where [tex]P_1[/tex] and [tex]T_1[/tex] are the initial pressure and the temperature, whereas [tex]P_2[/tex] and [tex]T_2[/tex] are the final pressure and temperature of the car.

We are given that [tex]P_1[/tex]=1 atm, [tex]T_1[/tex]=293 K, and [tex]T_2[/tex] = 338 K. We need to find the pressure [tex]P_2[/tex]:

We can say that [tex]P_2 = (P_1 T_2/ T_1)[/tex];

= (1 atm)(338 K/293 K)

= 1.16 atm

So, the pressure inside the car will be approximately 1.16 atm after the temperature increase.

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The expected effects on the people if the alpine and the tidewater glaciers melted is the melting the glaciers add to the rising sea levels.

The melting glaciers add to the rising sea levels, which in the turn will increases the coastal erosion and the elevates storm to surge the warming air and the ocean temperatures that will create the more frequent and the intense coastal storms such as the hurricanes and the typhoons.

The glaciers has been the melting for the decades because of the climate warming and therefore the monitoring of it is very important. The melting of the alpine and the tidewater glacier rises the sea level.

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Non-smokers can breathe 3.6 liters of air per minute at sea level (1 atm).

At high altitudes, pressure decreases to 0.5 atm. Non-smokers can breathe 7.2L of air per minute. How many liters of air can they breathe at sea level? (1 atm)

To answer this question, we will use the Boyle's Law, which states that the product of pressure (P) and volume (V) is constant for a given amount of gas at a constant temperature. In this case, we have two different pressure conditions: high altitudes (0.5 atm) and sea level (1 atm).

We are given the volume of air breathed at high altitudes (7.2L) and asked to find the volume at sea level.

Step 1: Write down the given information:
P1 = 0.5 atm (pressure at high altitudes)
V1 = 7.2L (volume of air breathed at high altitudes)
P2 = 1 atm (pressure at sea level)
V2 = ? (volume of air breathed at sea level; this is what we need to find)

Step 2: Apply Boyle's Law:
P1 × V1 = P2 × V2

Step 3: Plug in the given values and solve for V2:
(0.5 atm) × (7.2L) = (1 atm) × V2

Step 4: Solve for V2:
V2 = (0.5 × 7.2) / 1
V2 = 3.6L

So, non-smokers can breathe 3.6 liters of air per minute at sea level (1 atm).

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When working with a heat source, one should always assume that glassware and metal objects are hot. Option A is correct.

Working with a heat source requires special precautions to ensure safety in the laboratory. Heat sources such as Bunsen burners, hot plates, and ovens can generate high temperatures that can cause burns or fires if not handled properly. One important safety rule when working with a heat source is to assume that glassware and metal objects are hot.

This means that one should avoid touching or handling these objects without protective equipment, even if they appear to be cool or inactive. This is because they may still be hot from exposure to the heat source and can cause burns or injuries. Other safety measures when working with a heat source include using appropriate personal protective equipment, such as heat-resistant gloves and safety goggles, and ensuring good ventilation in the laboratory to prevent exposure to fumes or volatile chemicals. Option A is correct.

What should you do when working with a heat source?

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The balanced equation for the decomposition of carbonic acid (H₂CO₃) is H₂CO₃ → H₂O + CO₂.

In this reaction, carbonic acid (H₂CO₃) decomposes into water (H₂O) and carbon dioxide (CO₂). When baking soda (NaHCO₃) and vinegar (CH₃COOH) react, one of the products formed is carbonic acid.

This carbonic acid is unstable and quickly decomposes into water and carbon dioxide gas. The release of carbon dioxide gas creates the bubbling effect observed in this reaction.

The balanced equation demonstrates that for every one molecule of carbonic acid that decomposes, one molecule of water and one molecule of carbon dioxide gas are produced. This reaction plays an important role in everyday applications such as baking and science experiments.

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The particles that facilitate the electric conductivity of the following substances. The current is able to flow through the molten lead bromide.

(i) Sodium metal: Sodium is a metal and conducts electricity due to the presence of mobile electrons in it. These electrons are free to move around and allow electric current to flow through the metal.

(ii) Sodium Chloride solution: Sodium chloride solution is a conductive solution because it contains the ions of both sodium and chloride, which are capable of carrying electric current. The positive sodium ions move towards the negative end of the electric field, while the negative chloride ions move towards the positive end of the field.

(iii) Molten Lead Bromide: Molten lead bromide is also a conductor of electricity because it contains the ions of both lead and bromide. The positively charged lead ions are attracted to the negative end of the electric field, while the negatively charged bromide ions are attracted to the positive end of the electric field. As a result, the current is able to flow through the molten lead bromide.

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Based on the lab analysis, we used potassium carbonate and potassium sulfate to determine whether our unknown solution was strontium nitrate or magnesium nitrate.

When we mixed the unknown solution with potassium carbonate, we observed a white precipitate forming, indicating that the unknown solution contained a carbonate ion. When we mixed the unknown solution with potassium sulfate, we observed no change, indicating that the unknown solution did not contain a sulfate ion.

Using the solubility rules, we know that strontium carbonate is insoluble, while magnesium carbonate is soluble. Therefore, since we observed a white precipitate forming, we can conclude that our unknown solution was strontium nitrate.

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To solve this problem, we can use the combined gas law formula, which relates the initial and final states of a gas:

V1/T1 = V2/T2
Where:
V1 = initial volume = 2.5 L
T1 = initial temperature = 273 K (since STP is 0°C, which is 273 K)
V2 = final volume (what we need to find)
T2 = final temperature = 373 K

Rearrange the formula to find V2:
V2 = V1 * (T2 / T1)
Substitute the known values:
V2 = 2.5 L * (373 K / 273 K)
V2 ≈ 3.42 L
So, the new volume of the gas when the temperature is raised to 373 K and the pressure remains constant will be approximately 3.42 L.

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The unknown gas is likely methane. The unknown gas leaks out of a container in 21.2 minutes, while Neon leaks out in 15.0 minutes under identical conditions.

To identify the unknown gas, we can use Graham's law of effusion. This law states that the rate of effusion of a gas is inversely proportional to the square root of its molar mass. Mathematically, this can be expressed as:

Rate1 / Rate2 = √(M2 / M1)

In this case, Rate1 is the rate of effusion of Neon, and Rate2 is the rate of effusion of the unknown gas. M1 is the molar mass of Neon, and M2 is the molar mass of the unknown gas.

First, let's find the ratio of the rates of effusion:

Rate1 / Rate2 = 15.0 minutes / 21.2 minutes = 0.7075

Next, we'll substitute this ratio and the molar mass of Neon (20.18 g/mol) into Graham's law equation:

0.7075 = √(M2 / 20.18)

Now, square both sides of the equation:

0.5006 = M2 / 20.18

Finally, solve for M2 (the molar mass of the unknown gas):

M2 = 0.5006 * 20.18 = 10.10 g/mol

The unknown gas has a molar mass of approximately 10.10 g/mol, which closely matches the molar mass of methane (CH4) at 16.04 g/mol. Therefore, the unknown gas is likely methane.

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There are 7 periods in the periodic table of elements.

The periodic table is a tabular arrangement of the chemical elements, organized according to their atomic number, electron configuration, and recurring chemical properties. Elements are presented in increasing atomic number, displayed in rows called periods.

Each period corresponds to the filling of a new electron shell, with the number of the period indicating the principal quantum number (n) of the electron shell being filled.

Period 1 contains only two elements, hydrogen and helium, as it corresponds to the filling of the 1s subshell. Period 2 and 3 each contain eight elements, corresponding to the filling of 2s, 2p, 3s, and 3p subshells. Period 4 and 5 contain 18 elements each, filling the 4s, 3d, 4p, 5s, 4d, and 5p subshells.

Finally, periods 6 and 7 contain 32 elements each, filling the 6s, 4f, 5d, 6p, 7s, 5f, 6d, and 7p subshells.

In summary, the periodic table consists of 7 periods, with each period representing the filling of a new electron shell. The number of elements in each period increases as you move down the periodic table due to the additional subshells that are filled.

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There are 2.4 moles of C2O4^2- in the given sample

To determine the number of moles of C2O4 in the given sample, we need to use the balanced chemical equation of the reaction between MnO4 and C2O4. The equation is:

MnO4- + 5C2O4^2- + 8H+ → Mn2+ + 10CO2 + 4H2O

From the equation, we can see that 1 mole of MnO4- reacts with 5 moles of C2O4^2-. Therefore, if we have 0.48 moles of MnO4- at the endpoint, we can calculate the number of moles of C2O4^2- as follows:

0.48 moles MnO4- x (5 moles C2O4^2-/1 mole MnO4-) = 2.4 moles C2O4^2-

Therefore, there are 2.4 moles of C2O4^2- in the given sample.

It is important to note that moles are a unit of measurement used in chemistry to represent the amount of a substance, and it is equal to the mass of a substance in grams divided by its molar mass. In this case, we were able to determine the number of moles of C2O4^2- in the sample by using the stoichiometry of the balanced chemical equation.

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The pH of the 0.227 M C₅H₅N solution at 25°C is 9.3.

The equilibrium expression for the reaction of C₅H₅N with water:

C₅H₅N + H₂O ⇌ C₅H₅NH⁺ + OH.

The Kb for C₅H₅N is given as 1.7 × 10⁻⁹, so we can use this value to calculate the concentration of OH⁻ in the solution. First, we need to calculate the concentration of C₅H₅N that has dissociated:

Kb = [C₅H₅NH⁺][OH⁻]/[C₅H₅N]

1.7 × 10⁻⁹ = [C₅H₅NH⁺][OH⁻]/0.227

Solving for [OH⁻], we get:

[OH⁻] = √(Kb[C₅H₅N]/[C₅H₅NH⁺])

= √[(1.7 × 10⁻⁹)(0.227)/x]

= 2.0 × 10⁻⁵ M

The concentration of H⁺ ions in the solution. Since the solution is not neutral (it is basic), we know that [OH⁻] > [H⁺], so we can use the equation:

Kw = [H⁺][OH⁻]

1.0 × 10⁻¹⁴ = [H⁺](2.0 × 10⁻⁵)

Solving for [H⁺], we get:

[H⁺] = 5.0 × 10⁻¹⁰ M

Finally, we can use the equation:

pH = -㏒[H⁺]

to calculate the pH of the solution:

pH = -㏒(5.0 × 10⁻¹⁰)

= 9.3

At 25°C, the pH of the 0.227 M C₅H₅N solution is 9.3.

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57.49 g of HCl reacting with 98.20 g of [tex]AgNO_3[/tex] will produce 62.3 g of AgCl precipitate.

To determine the grams of AgCl (s) precipitate produced, we first need to write and balance the chemical equation for the reaction between hydrochloric acid (HCl) and silver nitrate ([tex]AgNO_3[/tex]) that produces silver chloride (AgCl) precipitate:

HCl (aq) + [tex]AgNO_3[/tex]  (aq) → AgCl (s) + [tex]HNO_3[/tex] (aq)

From the balanced equation, we can see that one mole of [tex]AgNO_3[/tex] reacts with one mole of HCl to produce one mole of AgCl.

To determine the limiting reactant in the reaction, we need to calculate the number of moles of each reactant:

moles of HCl = 57.49 g / 36.46 g/mol = 1.577 mol

moles of [tex]AgNO_3[/tex] = 98.20 g / 169.87 g/mol = 0.578 mol

Since [tex]AgNO_3[/tex] has fewer moles than HCl, it is the limiting reactant. This means that all of the [tex]AgNO_3[/tex] will be consumed in the reaction, and any excess HCl will be left over.

The number of moles of AgCl produced can be calculated from the number of moles of [tex]AgNO_3[/tex] :

moles of AgCl = moles of [tex]AgNO_3[/tex] = 0.578 mol

The mass of AgCl produced can be calculated using the molar mass of AgCl:

mass of AgCl = moles of AgCl x molar mass of AgCl

mass of AgCl = 0.578 mol x (107.87 g/mol) = 62.3 g

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C. Na(s) + Cl(g) → NaCl(s) the correct skeleton (unbalanced) equation for the following reaction

Both the sodium cation (Na+) and the chloride anion (Cl-), which are created when a sodium atom donates an electron to a chlorine atom, have full valence shells and are thus more stable energetically. The reaction is very exothermic and generates a lot of heat energy in addition to a brilliant yellow light.

There are two ways to tell exothermic processes from endothermic ones. The temperature of the reaction mixture rises as energy is released in an exothermic process. In an endothermic process, the temperature drops as energy is absorbed.

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In the reverse reaction NH4+ + OH- = NH3 + H2O, the acid is OH-. This is because OH- accepts a proton (H+) from NH4+, forming H2O.

In this reaction, OH- acts as a base, accepting the proton and becoming neutral water. When a base accepts a proton, it is called a Brønsted-Lowry acid, as it acts as an acid in the reverse reaction. This is because acids and bases are defined in terms of their behavior in reactions, rather than their chemical composition.

Acids are substances that donate protons (H+) in chemical reactions, while bases are substances that accept protons. When NH3 accepts a proton from H2O, it forms NH4+ and OH-, with NH3 acting as a base and H2O acting as an acid.

However, in the reverse reaction, OH- accepts a proton from NH4+, making it the acid and NH3 the base. Understanding these concepts is important in understanding acid-base chemistry, which has many practical applications in fields such as medicine, industry, and environmental science.

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Using this volume ratio, we can determine that (b) 2.4 liters of ammonia are produced when 3.6 liters of hydrogen reacts with an excess of nitrogen.

The given chemical equation represents the reaction between nitrogen and hydrogen to produce ammonia. The balanced equation shows that for every 3 volumes of hydrogen, 2 volumes of ammonia are produced.

According to the balanced chemical equation N₂ + 3H₂ → 2NH₃, for every 3 volumes of H₂, 2 volumes of NH₃ are produced.

Therefore, if 3.6 liters of H₂ reacts, the amount of NH₃ produced can be calculated as follows:

3.6 L H₂ * (2 L NH₃ / 3 L H₂) = 2.4 L NH₃

Therefore, 2.4 liters of NH₃ would be produced if 3.6 liters of H₂ reacts with an excess of N₂. The correct answer is option (b) 2.4 liters.

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Answer: yes there is rope left over. 52ft of rope.

Explanation:

there are 3 ft in a yard so Amari has

3ft x 28yards = 84ft of rope

he needs 4 x 8ft = 32ft of rope

subtract what he needs from what he has to find out if he has enough and how much extra.

84ft - 32ft = 52ft of extra rope

The total amount of energy required to melt 352 g of solid Iodine and heat the resulting liquid to 180°C is 29.63 kJ.

The amount of energy required to melt 1 mol of Iodine is given as the molar heat of fusion, which is 16.7 kJ/mol. Therefore, the amount of energy required to melt 352 g of solid Iodine can be calculated as follows:

Number of moles of Iodine = Mass ÷ Molar mass

= 352 g ÷ 126.90 g/mol

= 2.78 mol

Energy required to melt 352 g of Iodine = Number of moles × Molar heat of fusion

= 2.78 mol × 16.7 kJ/mol

= 46.43 kJ

After the solid Iodine has melted, the resulting liquid must be heated from its melting point of 114°C to the final temperature of 180°C. The specific heat capacity of liquid Iodine is given as 0.054 J/g°C. Therefore, the amount of energy required to heat the liquid can be calculated as follows:

Energy required to heat the liquid Iodine = Mass × Specific heat capacity × Temperature change

= 352 g × 0.054 J/g°C × (180°C - 114°C)

= 1.67 kJ

The total amount of energy required to melt 352 g of solid Iodine and heat the resulting liquid to 180°C is therefore:

Total energy required = Energy required to melt the solid Iodine + Energy required to heat the liquid Iodine

= 46.43 kJ + 1.67 kJ

= 29.63 kJ

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The transformation of energy from one form to another is the process by which energy changes from one type to another. This process can happen in many different ways, such as through chemical reactions, physical changes, or electromagnetic radiation.

One common example of energy transformation is the conversion of electrical energy to light energy in a light bulb. When an electric current flows through the filament of a light bulb, it causes the filament to heat up and emit light. In this process, the electrical energy is transformed into thermal energy, which in turn is transformed into light energy.

Another example of energy transformation is the conversion of potential energy to kinetic energy in a roller coaster. When the coaster is at the top of a hill, it has potential energy due to its height above the ground. As it moves down the hill, this potential energy is transformed into kinetic energy, which is the energy of motion.

The coaster continues to convert between these two forms of energy as it moves through the track, with potential energy increasing at the top of each hill and kinetic energy increasing as it accelerates down each slope.

Overall, energy transformation is an important concept in understanding how energy is used and conserved in various systems, from the natural world to modern technology.

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In the reaction H─H ⟶ H + H, with an average energy change of 436 kJ/mol (H2 + 436 kJ/mol → 2 H), the correct description is:
a. The energy will be required as bonds are being broken.

When a chemical reaction involves breaking bonds, energy is typically required to overcome the attractive forces holding the atoms together in the molecule. Breaking a covalent bond requires an input of energy, as the atoms involved need to move apart and overcome their mutual attraction.

In the case of the reaction H─H ⟶ H + H, the hydrogen molecule (H2) is composed of two hydrogen atoms held together by a covalent bond. In order to separate the two hydrogen atoms and form two individual hydrogen atoms, the covalent bond must be broken.

This requires an input of energy to overcome the bond's strength and break the attractive forces between the atoms.

The given average energy change of 436 kJ/mol indicates the amount of energy required to break one mole of hydrogen molecules into individual hydrogen atoms. This energy is needed to disrupt the H─H bond and separate the atoms.

Therefore, the correct description for this reaction is that energy will be required as bonds are being broken.

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The common mode of action based on the principle of like-dissolves-like and the concept of solvent-solute interactions is called solvation.

Solute-solvent interactions are described as the intermolecular attractions between a solute particle and a solvent particle.

So in the case that If the intermolecular attractions between solute particles are different compared to the intermolecular attractions between solvent particles it is unlikely dissolution will occur.

An example of  Solute-solvent interactions is when you add salt to water the salt dissolves and distributes uniformly within the water. There is more water than salt. So then we know that water is the solvent.

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The activation energy (Ea) is the minimum energy required for a reaction to occur, and it is defined as the energy difference between the reactants and the activated complex or transition state. In an exothermic reaction, the products have lower energy than the reactants, so the change in energy (∆E) is negative.

The activation energy of the forward reaction is given as 20 kJ/mol. This means that 20 kJ/mol of energy must be provided to the reactants to reach the activated complex and initiate the forward reaction.

To find the activation energy of the reverse reaction (Ea′), we can use the equation:

Ea′ = Ea + ∆E

where Ea is the activation energy of the forward reaction and ∆E is the change in energy of the reaction. Since we are given ∆E as -33 kJ/mol, which represents the change in energy for the forward reaction, we can substitute the values and solve for Ea′.

Plugging in the given values, we get:

Ea′ = 20 kJ/mol + (-33 kJ/mol)

Ea′ = -13 kJ/mol

Therefore, the activation energy of the reverse reaction (Ea′) is -13 kJ/mol. This negative value means that the reverse reaction has a lower activation energy than the forward reaction, which is consistent with the fact that the reaction is exothermic. A lower activation energy for the reverse reaction means that it is easier for the products to convert back to the reactants, which is why exothermic reactions tend to be more favorable in the forward direction.

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