The same amount of heat transferred into identical masses of different substances produces different temperature changes. Calculate the final temperature when 1.00 kcal of heat transfers into 1.00 kg of steel, originally at 20.00; c = 0.108 kcal/kg 0C .

29.3 0 C


26.9 0 C


32.3 0 C


27.4 0 C

Answers

Answer 1

The assumption is Originally at 20°C

Now

m=1Q=1c=0.108

We need ∆T

Q=mc∆T1=1(0.108)∆T0.108∆T=1∆T=1/0.108=9.26°C

Now

∆T=T_f-209.26=T_f-20T_f=29.26°C

Option A

Answer 2

Apply the formula

\(\boxed{\sf Q=mc\Delta T}\)

\(\\ \tt{:}\longrightarrow \Delta T=\dfrac{Q}{mc}\)

\(\\ \tt{:}\longrightarrow \Delta T=\dfrac{1}{0.108}\)

\(\\ \tt{:}\longrightarrow T_f-20=9.3\)

\(\\ \tt{:}\longrightarrow T_f=29.3°C\)


Related Questions

Please help!
Fe2O3 + C → CO + Fe

Please help! Fe2O3 + C CO + Fe

Answers

Fe2O3 + 3C → 2Fe + 3CO :)

3.604m + 104.29m + 3.1m + 17.41m. The sum expressed in the correct number of significant figures is

Answers

Answer:

128.4 m

Explanation:

3.604m + 104.29m + 3.1m + 17.41m

Add all the values

= 128.404 m

The significant figure rule for addition is for the sum to have the same number of decimal places as the value with the least number of decimal places. In the addition sentence 3.604m + 104.29m + 3.1m + 17.41m, the value with the least number of decimal places is 3.1, which has 1 decimal place. Therefore, we round our sum so that it also has 1 decimal place.

128.404 m

= 128.4 m

I hope this helps!

balance and identify the type of rxn
_H2O+ _SO3 _H2SO4

Answers

To balance the equation and identify the type of reaction, let's start by assigning coefficients to each compound: 2H2O + 1SO3 -> 1H2SO4

To balance the equation, we need to ensure that the number of atoms on both sides is the same. Here, we have two hydrogen (H) atoms on the left side and two on the right side, so hydrogen is already balanced.

We have two oxygen (O) atoms on the left side and four on the right side, so we need to balance oxygen by adding a coefficient of 2 in front of the water molecule:

2H2O + 1SO3 -> 1H2SO4

Now the equation is balanced with two hydrogen, four oxygen, and one sulfur (S) atom on both sides.

The type of reaction represented by this equation is a combination or synthesis reaction. In a combination reaction, two or more substances combine to form a new compound. In this case, water (H2O) and sulfur trioxide (SO3) combine to form sulfuric acid (H2SO4).

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In the balanced equation
2C₂H6+702--> 4CO2+6H₂O
if 21 g of C₂H6 react with 32 g O2, what is the limiting reactant?
02
C₂H6
CO₂
H₂O

Answers

In the balanced equation \(2C_{2} H_{6}\) + \(7 O_{2}\) --> \(4 CO_{2}\) + \(6H_{2}O\) if 21 g of \(C_{2} H_{6}\) reacts with 32 g O₂, C₂H6 is the limiting reactant.

To determine the limiting reactant, we need to compare the amount of each reactant to the stoichiometric ratio in the balanced equation.

Let's calculate the number of moles for each reactant using their molar masses:

For \(C_{2} H_{6}\) (ethane):

Molar mass of \(C_{2} H_{6}\) = 2(12.01 g/mol) + 6(1.01 g/mol) = 30.07 g/mol

Number of moles of C₂H6 = 21 g / 30.07 g/mol ≈ 0.698 mol

For O₂ (oxygen):

Molar mass of O₂ = 2(16.00 g/mol) = 32.00 g/mol

Number of moles of O₂ = 32 g / 32.00 g/mol = 1.00 mol

Next, we compare the moles of each reactant to the stoichiometric ratio in the balanced equation:

2 moles of \(C_{2} H_{6}\) react with 7 moles of O₂ to produce 4 moles of CO₂ and 6 moles of H₂O.

From the given amounts, we have:

0.698 mol \(C_{2} H_{6}\) and 1.00 mol O₂.

Using the stoichiometric ratio, we can calculate the expected amount of CO₂ and H₂O produced for each reactant:

For C₂H6:

Expected moles of CO₂ = 0.698 mol C₂H6 * (4 mol CO₂ / 2 mol C₂H6) = 1.396 mol CO₂

For O₂:

Expected moles of CO₂ = 1.00 mol O₂ * (4 mol CO₂ / 7 mol O₂) ≈ 0.571 mol CO₂

Comparing the expected moles, we see that the calculated amount of CO₂ is greater when used \(C_{2} H_{6}\) as the limiting reactant. Therefore, the limiting reactant in this reaction is \(C_{2} H_{6}\).

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In aqueous solution, hydrogen sulfide reduces mno4-, to Mn2+. Under appropriate conditions, the product is elemental sulfur. Write a balanced net ionic
equation for this reaction
Express your answer as a chemical equation. Identify all of the phases in your answer.

Answers

The ionic equation of the reaction between hydrogen sulfide and MnO4- is as follows:

5H2S + 2MnO4- + 6 H+ → 2(Mn)2+ + 8H2O + 5S

How to write an ionic equation?

According to this question, hydrogen sulfide reduces MnO4- to Mn2+, in an aqueous solution.

Elemental sulfur is produced as a gaseous product. The net ionic equation of this reaction is as follows:

5H2S + 2MnO4- + 6 H+ → 2(Mn)2+ + 8H2O + 5S

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Why can we not compress solids while gases can be compressed? (speak about their particles) ​

Answers

Answer:

Gases have molecules which stay loose from each other.

So gas can be compressed easily.

Solids have molecules closely to each other.

So compressing solids can be harder.

Explanation:

Hope my explanation helps ♥️♥️♥️

The decomposition of N2O to N2 and O2 is a first-order reaction. At 730°C, the rate constant of the reaction is 1.94 × 10-4 min-1. If the initial pressure of N2O is 5.10 atm at 730°C, calculate the total gas pressure after one half-life.

Answers

The decomposition of N\(_2\)O to N\(_2\) and  O\(_2\) is a first-order reaction. At 730°C, the rate constant of the reaction is  1.94 * 10⁻⁴ min⁻¹. If the initial pressure of N\(_2\)O is 5.10 atm at 730°C, 5.875 atm is the total pressure after one half life.

What is pressure?

The force delivered perpendicularly to an object's surface per unit area across which this force is dispersed is known as pressure (symbol: p as well as P). The pressure in relation to the surrounding air pressure is known as gauge pressure, often written gage pressure.

2N\(_2\)O(g) → 2N\(_2\)(g) + O\(_2\)(g)

k= 1.94 * 10⁻⁴min⁻¹

Half period = 0.693 / k

                    =0.693/ 1.94 * 10⁻⁴

                    = 3572 min

initial pressure of N\(_2\)O, Po = 4.70 atm

pressure of N\(_2\)O after 3572 min = Pt

k= 1/t× ln P0/pt

1.94 * 10⁻⁴ = 1/3572× ln 4.70atm / Pt

ln 4.70atm / Pt = 0.692968

4.70atm / Pt = 2.00

Pt = 4.70atm / 2.00 = 2.35 atm

                         2N\(_2\)O(g) → 2N\(_2\)(g) + O\(_2\)(g)

initial(atm)    5.10          0              0

change(atm)  -2x         +2x            x

Final(atm)         5.10-2x        2x             x

Pressure of N\(_2\)O after one half-life = Pt = 2.35 = 5.10-2x

Pressure of O\(_2\) after one half-life = Po = x = 1.175 atm

Pressure of O\(_2\) after one half-life = 2x = 2(1.175) = 2.35 atm

Total Pressure = 2.35 atm + 2.35 atm + 1.175 atm

                        = 5.875 atm

Therefore, 5.875 atm is the total pressure after one half life.

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why do birds have hollow bones​

Answers

\(Hollow \: bones \: are \: also \: called \\ pneumatized \: bones, \: meaning \: they're \: filled \\ with \: space \: for \: air. \: It \\ is \: thought \: that \: this \: structure \\  helps \: with \: oxygen \: intake \: during \\ flight. \: Air \: sacs \: are \: attached \: to \\ the \: hollow \: areas \: in \: a \: bird's \: bones. ... \\ This \: adds \: more \: oxygen \: to \\ the \: blood, \: providing \: a \\ bird \: with \:extra \:energy \:for\: flight.\)

Answer:

Birds have hollow bones so that they are light for flight  

Explanation:

K12

Assuming that HCI and H2SO4 are a strong acids, and that NaOH and Ba(OH)2 are a strong bases, and that all four dissociate 100% in water as indicated below

Assuming that HCI and H2SO4 are a strong acids, and that NaOH and Ba(OH)2 are a strong bases, and that

Answers

Answer:

Explanation:

We start by writing the dissociation equation to yield hydrogen and hydroxide ion

We have that as:

\(HCl\text{ + H}_2O\text{ }\rightleftarrows\text{ H}_3O^+\text{ + Cl}^-\)

We have been told that the dissociation is 100% complete.

What this means is that the concentration of the acid is the concentration of the hydrogen ion

Thus, we have it that:

a)

\([H^+]\text{ = 0.00010 M}\)

B) Mathematically:

\([H^+][OH^-]\text{ = 10}^{-14}\)

We proceed to substitute for the concentration of the hydrogen ion:

\(\begin{gathered} 0.0001\text{ }\times\text{ \lbrack OH}^-]\text{ = 10}^{-14} \\ \\ [OH^-]\text{ = }\frac{10^{-14}}{0.0001} \\ \\ [OH^-]\text{ = 1 }\times\text{ 10}^{-10}\text{ M} \end{gathered}\)

c) Mathematically:

\(\begin{gathered} pH\text{ = -log\lbrack H}^+] \\ pH\text{ = -log\lparen0.0001\rparen} \\ pH\text{ = 4} \end{gathered}\)

d) Mathematically:

\(\begin{gathered} pH\text{ +}pOH\text{ = 14} \\ pOH\text{ = 14 - pH} \\ pOH\text{ = 14-4} \\ pOH\text{ = 10} \end{gathered}\)

what color is a window

Answers

Answer:

Window

Explanation:

There is no explonation

Answer:

clear I think if not possibly White

Which one of the following would have the largest density?
A) 56.0 g of a metal with a density of 11.3
g/cm³.
B) A sample of metal that occupies 24.7 cm³
and weighs 326 g.
C) 250.0 g of a liquid that has a volume of
180.0 mL.
D) A 781 g of sample of metal that occupies
74.3 cm³.

Answers

The option with the largest density is B) A sample of metal that occupies 24.7 cm³ and weighs 326 g.

What is largest density?

The largest density is the highest value of density in a set of values. In other words, it is the value that represents the greatest amount of mass per unit volume. For example, if we have a set of densities such as 2 g/cm³, 5 g/cm³, 8 g/cm³, and 12 g/cm³, the largest density would be 12 g/cm³.

Therefore, Density is defined as mass per unit volume

The option with the largest density is B) A sample of metal that occupies 24.7 cm³ and weighs 326 g.

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Which of the following provides the correct mathematical operation to convert the number of atoms of a sample to the number of moles?
Choose matching definition
O 2.0 mol × 6.022 × 1023 molecules/mol
O The formula of the compound The atomic masses of each of the elements that make up the compound
O number of atoms/Avogadro's number
O The molar mass of each element

Answers

Option c is the right response. The correct mathematical operation to convert a sample's atom count to its mole count is atoms/number Avogadro's.

Every atom is made up of a nucleus and maybe one or more electrons. The nucleus is made up of one or more protons and several neutrons. Only the most common type of hydrogen is devoid of neutrons. Hydrogen is a chemical element with atomic number 1 and the letter H. Hydrogen is the lightest atom. Under normal conditions, hydrogen is a gas composed of diatomic molecules, which have the formula H2. It is highly combustible, non-toxic, and devoid of flavour, smell, or colour.

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Which lunar phase comes directly before the full Moon phase?

Answers

Answer:

Your answer should be the Waxing Gibbous

Explanation:

Hope this helps :) Have a great day!

when 3.25 grams of sodium acetate trihydrate were mixed in a test tube inside a calorimeter the temperature of the water was increased by 15.4

what type of reaction is this

Answers

When 3.25grams of sodium acetate trihydrate were mixed in a test tube inside a calorimeter the temperature of water was increased by 15.5. the reaction is   the heat of solution of sodium acetate trihydrate is endothermic and the process of recrystallisation is exothermic.

Sodium acetate trihydrate is a hydrated compound an when solid sodium acetate trihydrate is heated above 59°C it will looses it hydration of water and  dissolve in that water . and the salt of sodium acetate trihydrate is fully dissolved at 79°C. the heat of solution of sodium acetate is endo thermic and the reverse process and we add seed crystal to it and when it crystallize back the process then said to be exothermic process that means it gives out heat.

therefore, When 3.25grams of sodium acetate trihydrate were mixed in a test tube inside a calorimeter the temperature of water was increased by 15.5. the reaction is   the heat of solution of sodium acetate trihydrate is endothermic and the process of recrystallisation is exothermic.

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when liquid water loses energy, a change in state or chemical identity occurs?

Answers

Answer:

When most substances lose or gain energy, one of two things happens to the substance: its temperature changes or its state changes. The temperature of a substance is related to the speed of the substance’s particles. So, when the temperature of a substance changes, the speed of the particles also changes. But the temperature of a substance does not change until the change of state is complete.

Explanation:

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                      noah

A gas contained in a steel tank has a pressure of 1.5atm at a temperature of 320K. What will be the gas pressure when the temperature changes to 450K at a constant amount of gas and volume?

Answers

Answer:

2.109 atm

Explanation:

This is Gay-Lussac's Law when the temperature of a sample of gas in a rigid container is increased, the pressure of the gas increases as well. The increase in kinetic energy results in the molecules of gas striking the walls of the container with more force, resulting in a greater pressure. Gay-Lussac's Law states that the pressure of a given mass of gas varies directly with the absolute temperature of the gas, when the volume is kept constant. Gay-Lussac's Law is very similar to Charles's Law, with the only difference being the type of container.

So for this one:

\(\frac{P_{1} }{T_{1}} =\frac{P_{2} }{T_{2}}\)

Rearrange it to

P2= (P1 x T2)/T1

P2= (450 x 1.5)/320 = 2.109 atm

Select all of the following options that must be done in case of a fire alarm or other evacuation (when feasible).
a. gather your belongings
b. turn off all hot plates & other heating apparatus
c. turn off all water
d. stay in the lab to finish your experiment

Answers

option a,b,c are correct.gather your belongings,turn off all hot plates & other heating apparatus, turn off all water these are options that must be done in case of a fire alarm or other evacuation .

To guarantee your safety, take prompt action when the fire alarm goes off. The fire alarm system was created and constructed to give you a head start so you may safely leave the building in an emergency.Never dismiss a warning or believe it to be fake or the outcome of a test.The nearest and safest exit and/or stairs must be used by everyone to leave the building.Never leave during a fire alarm activation in an elevator.Once outside, make your way away from the structure. Gather on the sidewalk of the building next door or across the street.The firefighters and fire engines will be working in front of the structure. Don't stand in their way as they enter the building.

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water has low ____ _____

Answers

Water has low viscosity and low surface tension.

Viscosity refers to the resistance of a fluid to flow, and water has a relatively low viscosity compared to many other liquids. This property is important for many applications, including the movement of water through pipes and the flow of water in rivers and streams.

Surface tension, on the other hand, is the measure of the cohesive force between molecules at the surface of a liquid. Water has a relatively low surface tension compared to some other liquids, which makes it easier for objects to penetrate its surface. This property is also responsible for the formation of droplets and the behavior of water striders and other water-dwelling insects.

Overall, these properties contribute to the unique characteristics of water and its importance in many natural and industrial processes.

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What happens to the amount of solution when we add food colour to it?

Answers

Answer:

We need more? What else is in the question? This is unanswerable.

Explanation:

for (figure 1), does the surface enclose a net positive charge, a net negative charge, or no net charge?

Answers

According to the given statement There is thus no net charge on the surface.

What is positive charge with example?

Protons can be added to an atom or other substance with a neutral charge to produce a positive charge. A neutrally charged item can also acquire a positive charge by having its electrons removed. The positive end of a battery, also known as the cathode, attracts electrons because of its positive charge.

Are protons positive charges?

A neutron is a subatomic particle with a positive charge. Protons are held together in the atom's nucleus by the strong nuclear force. The neutron is a kind of subatomic particle without charge (they are neutral).

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How many moles of carbon dioxide are in 26.22 L container at 7.7394 atm and 423 C?

Answers

We will assume that the gas behaves like an ideal gas, so we can apply the following equation for ideal gases:

\(PV=nRT\)

Where,

P is the pressure of the gas in atm, 7.7394 atm

V is the volume of the gas in liters, 26.22L

R is a constant, 0.08206atm.L/mol.K

T is the temperature of the gas in Kelvin, 423°C=696.15K

n is the number of moles

Now, we clear the number of moles and replace the known data:

\(n=\frac{RT}{PV}\)\(\begin{gathered} n=\frac{0.08206\frac{atm.L}{mol.K}\times696.15K}{7.7394atm\times26.22L} \\ n=0.2815mol \end{gathered}\)

Answer: There are 0.2815 mol of carbon dioxide

The two forces acting on a boat or some other floating object are________
and gravity.​

Answers

Answer:

buoyancy. ...

Explanation:

........

Answer:

buoyancy

Explanation:

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Magnesium hydroxide reacts with chlorine to form magnesium chloride,
magnesium chlorate and water. How many grams of magnesium hydroxide is
needed to yield 8.00 moles of magnesium chlorate?
77.8 g Mg(OH)2
9178.1 g Mg(OH)2
2799.6 g Mg(OH)2
.823 g Mg(OH)2
How many grams of sodium sulfato pro

Answers

The grams of magnesium hydroxide needed to yield 8.00 moles of magnesium chlorate is approximately 466.64 g. None of the options provided match the calculated value of 466.64 g.

To determine the grams of magnesium hydroxide (Mg(OH)2) needed to yield 8.00 moles of magnesium chlorate (Mg(ClO3)2), we need to consider the balanced chemical equation for the reaction between magnesium hydroxide and chlorine.

The balanced equation is as follows:

2 Mg(OH)2 + 6 Cl2 → 2 Mg(ClO3)2 + 2 H2O

From the balanced equation, we can see that 2 moles of Mg(OH)2 react with 6 moles of Cl2 to produce 2 moles of Mg(ClO3)2.

Therefore, the stoichiometric ratio is 2 moles of Mg(OH)2 : 2 moles of Mg(ClO3)2.

To calculate the grams of Mg(OH)2 needed, we can use the stoichiometric ratio and the given moles of Mg(ClO3)2.

Given:

Moles of Mg(ClO3)2 = 8.00 moles

Using the stoichiometric ratio, we have:

8.00 moles Mg(ClO3)2 × (2 moles Mg(OH)2 / 2 moles Mg(ClO3)2) = 8.00 moles Mg(OH)2

To convert moles to grams, we need to multiply by the molar mass of Mg(OH)2.

The molar mass of Mg(OH)2 = (24.31 g/mol) + (2 * 16.00 g/mol) = 58.33 g/mol

Grams of Mg(OH)2 = 8.00 moles Mg(OH)2 × 58.33 g/mol = 466.64 g

Therefore, the grams of magnesium hydroxide needed to yield 8.00 moles of magnesium chlorate is approximately 466.64 g.

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During life body pH is ___ shortly after death the pH becomes ___ after time the pH becomes ___. (A) Acidic, neutral, basic (B) Neutral, acidic, basic (C) Neutral, basic, acidic (D) Acidic, acidic, basic

Answers

(B) neutral, acidic, basic.

What is an isotope and how does their abundance in nature differ from element to element

Answers

Answer:

isotopes, there elements with a diffrent type atomic weight then the original, usally due to a higher amout of neutrons than the original. Some Isotopes are just as useable as the normal versions, but in some cases, such as Uranium, they can be even more radioactive than the original form

Question:
Many island chains were formed as a result of blank volcanism

Answers

Many island chains were formed as a result of blank volcanism is known as hotspot volcanism.

Hotspot volcanism occurs when a mantle plume, a column of hot and buoyant rock material rising from deep within the Earth's mantle, reaches the surface. These mantle plumes are stationary relative to the moving tectonic plates on the Earth's surface.

As the tectonic plate moves over the stationary hotspot, the mantle plume melts and produces magma. This magma rises through the Earth's crust, creating a volcanic eruption. Over time, repeated eruptions build up layers of lava and volcanic material, forming a cone-shaped volcano. As the tectonic plate continues to move, the volcano becomes inactive, and a new volcano forms above the stationary hotspot.

However, in the case of island chains, the tectonic plate movement carries the volcanoes away from the hotspot. As a result, a trail of extinct volcanoes is left behind, forming a linear chain of islands. Each island in the chain represents a period of volcanic activity at that specific location as the plate moved over the hotspot.

Hotspot volcanism and the formation of island chains provide valuable insights into the dynamics of Earth's mantle and plate tectonics. By studying the age progression of islands in a chain, scientists can gain a better understanding of the movement and speed of tectonic plates and the behavior of mantle plumes deep beneath the Earth's surface.

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what is the reaction?

Answers

Answer:

A chemical reaction is a process in which one or more substances, also called reactants, are converted to one or more different substances, known as products. ... A chemical reaction rearranges the constituent atoms of the reactants to create different substances as products.

Explanation:

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3. A Wilkinson’s catalyst is widely used in the hydrogenation of alkenes. Show a catalytic cycle, including: i. chemical structure of the catalyst, with complete stereochemistry ii. molecular geometry of catalyst iii. type of reactions involved iv. the appropriate starting material, reagent and solvent v. major and minor end-products vi. all intermediates, for each reaction stated in (iii)

Answers

We can see here that the catalytic cycle for the hydrogenation of alkenes using Wilkinson's catalyst involves several steps.

What are the steps involved?

Here's an overview of the catalytic cycle, including the necessary details:

i. Chemical structure of the catalyst:

Wilkinson's catalyst, also known as chloridotris(triphenylphosphine)rhodium(I), has the following chemical structure: [RhCl(PPh3)3]

ii. Molecular geometry of the catalyst:

The Wilkinson's catalyst has a trigonal bipyramidal geometry around the rhodium center. The three triphenylphosphine (PPh3) ligands occupy equatorial positions, while the chloride (Cl) ligand occupies an axial position.

iii. Type of reactions involved:

The catalytic cycle involves several reactions, including:

Oxidative addition: The rhodium center undergoes oxidative addition, reacting with molecular hydrogen (H2) to form a dihydride intermediate.Alkene coordination: The alkene substrate coordinates to the rhodium center, forming a π-complex.Hydrogenation: The coordinated alkene undergoes hydrogenation, resulting in the addition of hydrogen atoms to the double bond and formation of a metal-alkyl intermediate.Reoxidation: The metal-alkyl intermediate reacts with a hydrogen molecule to regenerate the rhodium dihydride species.

iv. Starting material, reagent, and solvent:

The starting material is an alkene, and the reagent is Wilkinson's catalyst ([RhCl(PPh3)3]). The reaction is typically carried out in a suitable solvent, such as dichloromethane (CH2Cl2) or tetrahydrofuran (THF).

v. Major and minor end-products:

The major end-product of the hydrogenation reaction is the fully saturated alkane, resulting from the addition of hydrogen across the double bond. The minor end-product may include cis- or trans-configured alkanes if the original alkene substrate possesses geometric isomers.

vi. Intermediates:

The intermediates in the catalytic cycle include:

Rhodium dihydride complex: [RhH2(PPh3)3]Alkene-Rhodium π-complex: [Rh(η2-alkene)(PPh3)3]Metal-alkyl intermediate: [Rh(alkyl)(PPh3)3]

These intermediates play a crucial role in facilitating the hydrogenation reaction and enabling the catalytic cycle to proceed.

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A ground state hydrogen atom absorbs a photon of light having a wavelength of 92.57 nm. It then gives off a photon having a wavelength of 954.3 nm. What is the final state of the hydrogen atom? Values for physical constants can be found in g

Answers

Answer:

the final state of the hydrogen atom = 3

Explanation:

From the given information;

Let first calculate the amount of energy by the ground state atom during the atoms absorbs  photon light  by using the formula:

\(E_{absorbs} = \dfrac{hc}{\lambda}\)

where;

h = planck's constant = \(6.626*10^{-34 }\ \ Js\)

c = speed of light = \(3.0*10^8 \ \ m/s\)

λ = wavelength = 92.57 nm = 92.57 × 10⁻⁹ m

\(E_{absorbs} = \dfrac{6.626*10^{-34 }\ \ Js * 3.0*10^8 \ \ m/s}{92.57*10^{-9} \ \ m}\)

\(E_{absorbs} = 2.15 *10^{-18} \ J\)

The energy emitted by the hydrogen atom is calculated by using the same formula from above ; but here , the wavelength λ = 954.3 nm = 954.3 × 10⁻⁹ m

\(E_{absorbs} = \dfrac{6.626*10^{-34 }\ \ Js * 3.0*10^8 \ \ m/s}{954.3*10^{-9} \ \ m}\)

\(E_{absorbs} = 2.08 *10^{-19} \ J\)

The change in the energy absorbed is:

\(\Delta E= 2.15 *10^{-18} \ J - 2.08 *10^{-19} \ J\)

\(\Delta E= 1.94 *10^{-18} \ J\)

The final state of the atom can be determined by using the relation:

\(\Delta E = R_H [\dfrac{1}{1^2}-\dfrac{1}{n^2_f}]\)

where;

\(R_H\) = Rydberg constant = 2.18 × 10⁻¹⁸ J

\(\dfrac{\Delta E}{R_H} = [\dfrac{1}{1^2}-\dfrac{1}{n^2_f}] \\ \\ \\ \dfrac{1.94*10^{-18} \ J}{2.18*10^{-18} \ J } = [\dfrac{1}{1^2}-\dfrac{1}{n^2_f}] \\ \\ \\ 0.889 = [\dfrac{1}{1^2}-\dfrac{1}{n^2_f}] \\ \\ \\ 1 - 0.889 = \dfrac{1}{n^2_f} \\ \\ \\ 0.111= \dfrac{1}{n^2_f} \\ \\ \\ {n^2_f} = \dfrac{1}{0.111} \\ \\ \\ {n^2_f} = 9 \\ \\ \\ {n_f} = \sqrt{9} \\ \\ \\ \mathbf{n_f = 3}\)

Thus; the final state of the hydrogen atom = 3

\(E_a_b_s_o_r_b_e_d = (6.626 * 10^-^3^4 J.s) * (3.00 * 10^8 m/s) / (92.57 *10^-^9 m)\)We can use the fact that the energy of the photon is given by the equation: to determine the final position of the hydrogen atom.

E = hc / λ

Where:

E is the energy of the photon,

h is Planck's constant \((6.626 * 10^-^3^4 J.s)\),

c is the speed of light in a vacuum \((3.00 * 10^8 m/s)\), and

λ is the wavelength of the photon.

Let's first determine the energy of the absorbed photon:

\(E_a_b_s_o_r_b_e_d = hc /\)λ\(_a_b_s_o_r_b_e_d\)

\(E_a_b_s_o_r_b_e_d = (6.626 * 10^-^3^4 J.s) * (3.00 * 10^8 m/s) / (92.57 *10^-^9 m)\)

The energy of the photon released will then be determined by:

\(E_e_m_i_t_t_e_d = hc\) / λ\(_e_m_i_t_t_e_d\)

E\(_e_m_i_t_t_e_d\) = \((6.626 * 10^-^3^4 J.s) * (3.00 * 10^8 m/s) / (945.3 *10^-^9 m)\)

The energy difference between the absorbed and released photons must now be determined:

ΔE = \(E_e_m_i_t_t_e_d - E_a_b_s_o_r_b_e_d\)

The energy levels of hydrogen are given by the equation:

ΔE = -13.6 eV *\((1 / n^2_f_i_n_a_l - 1 / n^2_i_n_i_t_i_a_l)\)

Where

\(n_f_i_n_a_l\) and \(n_i_n_i_t_i_a_l\) are the principal quantum numbers of the final and initial states, respectively, and -13.6 eV is the ionization energy of hydrogen.

Learn more about energy levels, here:

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The enthalpy of vaporization of water is 2,257,000 J/kg. If I have a 1 kg sample, how much energy is needed to boil all of it

Answers

Answer:

2257000 J

Explanation:

Applying,

Q = Cₓm.................. Equation 1

Where Q = amount of energy need to boil the water, Cₓ = Enthalpy of vaporization of water, m = mass of water.

From the question,

Given: Cₓ = 2257000 J/kg, m = 1 kg

Substitute these values into equation 1

Q = 2257000×1

Q = 2257000 J

Hence the energy needed to boil all of the water is 2257000 J

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