When 50 electrons drop from energy level 4 to energy level 2, how many photons of light are given off?

1 photon

100 photons

2 photons

50 photons

Answers

Answer 1

The number of photons given off will be 50 photons.

To find the answer, we need to know about the plank's equation.

How to find the number of photons emitted?We have the expression for energy of a single electron in eV as,

                     [tex]E=-13.6(\frac{1}{(n_f)^2}- \frac{1}{(n_i)^2})eV\\[/tex]

We have,

                     [tex]n_f=4\\n_i=2\\N=50[/tex]

Substituting values, we get,

                  [tex]E=-13.6(\frac{1}{(4)^2}- \frac{1}{(2)^2})eV\\\\E=-13.6*-0.188=2.55eV[/tex]

For N electrons,

                [tex]E=50*2.55eV=127.5eV[/tex]

We have the plank's equation,

                            E=nhf

From this, the number of photons emitted from 50 electrons will be,

                    [tex]n=\frac{E}{h*f} =\frac{127.5*1.67*10^{-19}J}{(6.63*10^-34)Js} \\[/tex]

To find n, we have to find the frequency f. For that, we have the equation,

                       [tex]\frac{1}{wave length}=R_H(\frac{1}{(n_i)^2}- \frac{1}{(n_f)^2})\\\\1/wv= 1.1*10^5(\frac{1}{(2)^2}- \frac{1}{(4)^2})=20625cm^{-1}.\\wavelength=486nm.[/tex]

Thus, frequency will be,

                 [tex]f=\frac{c}{wavelength} =\frac{3*10^8}{486*10^{-9}} =6.172*10^{14}s{-1}[/tex]

Then, the number of photons will be,

                       [tex]n=\frac{E}{h*f} =\frac{127.5*1.67*10^{-19}J}{(6.63*10^-34)Js*6.17*10^{14} s^{-1}} \\\\n=52.05 photons[/tex]

Thus, we can conclude that, the number of photons given off will be 50 photons.

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Related Questions

How to convert butanoic acid to propanamide?​

Answers

Butanoic acid is converted to propanamide by first converting it to propanoic acid, then ammonium propanoate and then finally propanamide by heating.

How are carboxylic acids converted to amides?

Carboxylic acids are converted to amides by converting them into into an ammonium salt which then produces an amide on heating.

The ammonium salt is prepared by adding ammonium carbonate to an excess of the acid. The ammonium salt is then heated to give the amide

Therefore, butanoic acid is converted to propanamide by first converting it to propanoic acid, then ammonium propanoate and then finally propanamide by heating.

In conclusion, carboxylic acids are converted to amides in two steps.

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if 14.0 g of aluminium reacts with excess sulfuric acid to produce 75.26 g of aluminium sulfate, what is the percent yield?

Answers

Taking into account definition of percent yield, the percent yield for the reaction is 84.88%.

Reaction stoichiometry

In first place, the balanced reaction is:

2 Al + 3 H₂SO₄ → Al₂(SO₄)₃ + 3 H₂

By reaction stoichiometry (that is, the relationship between the amount of reagents and products in a chemical reaction), the following amounts of moles of each compound participate in the reaction:

Al: 2 moles H₂SO₄: 3 molesAl₂(SO₄)₃. 1 moleH₂: 3 moles

The molar mass of the compounds is:

Al: 27 g/moleH₂SO₄: 98 g/moleAl₂(SO₄)₃: 342 g/moleH₂: 2 g/mole

Then, by reaction stoichiometry, the following mass quantities of each compound participate in the reaction:

Al: 2 moles ×27 g/mole= 54 gramsH₂SO₄: 3 moles ×98 g/mole= 294 gramsAl₂(SO₄)₃: 1 mole ×342 g/mole= 342 gramsH₂: 3 moles ×2 g/mole= 6 grams

Mass of aluminium sulfate formed

The following rule of three can be applied: if by reaction stoichiometry 54 grams of aluminium form 342 grams of aluminium sulfate, 14 grams of aluminium form how much mass of aluminium sulfate?

[tex]mass of aluminium sulfate=\frac{14 grams of aluminium x342 grams of aluminium sulfate}{54 grams of aluminium}[/tex]

mass of aluminium sulfate= 88.67 grams

Then, 88.67 grams of aluminium sulfate can be produced if 14.0 g of aluminium reacts with excess sulfuric acid.

Percent yield

The percent yield is the ratio of the actual return to the theoretical return expressed as a percentage.

The percent yield is calculated as the experimental yield divided by the theoretical yield multiplied by 100%:

[tex]percent yield=\frac{actual yield}{theorical yield} x100[/tex]

where the theoretical yield is the amount of product acquired through the complete conversion of all reagents in the final product, that is, it is the maximum amount of product that could be formed from the given amounts of reagents.

Percent yield for the reaction in this case

In this case, you know:

actual yield= 75.26 gramstheorical yield= 88.67 grams

Replacing in the definition of percent yields:

[tex]percent yield=\frac{75.26 grams}{88.67 grams} x100[/tex]

Solving:

percent yield= 84.88%

Finally, the percent yield for the reaction is 84.88%.

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help me out with this question

Answers

The concentration will be 12 M. The first option is the correct one.

Concentration

It is calculated by dividing the number of moles of solute present in a solution by the volume of the solution.

In this case, the number of moles of solute = 1.2 mols

volume of solvent = 100 mL or 0.1 L

Concentration of the solution = 1.2/0.1 = 12 mol/L or 12 M

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If charcoal and sugar were the the main impurities present in crude acetanilide would recrystallisation from water be a good method of purification explain why?

Answers

Yes, recrystallization from water would be a viable technique of purification if crude acetanilide contained sugar and charcoal. Due to their physical insolubility, charcoal found in crude acetanilide and water will form a heterogeneous combination. Charcoal will separate during crystallization because it is insoluble in water. Sugar and the unreconstituted crude acetanilide make up the remaining portion of the combination. Crude acetanilide will crystallize in this combination and separate from the sugar and water solution. Filtration will be used to capture the crude acetanilide that has solidified. Sugar and water make a soluble solution, thus they are kept separate. This is how the charcoal and sugar combination is purified and its constituent parts are separated from crude acetanilide using the recrystallization process from water.

Draw a levelled diagram of a Daniel cell and write the half cell equations.​

Answers

The labelled diagram of Daniell cell is as shown below

The half-reactions of oxidation and reduction taking place on electrodes are shown:

Oxidation at anode: Zn(s)→Zn 2+(aq)+2e −

Reduction at cathode: Cu 2+ (aq)+2e − →Cu(s)

What is Daniell Cell?

A Daniell cell is the best model of a galvanic cell which converts chemical energy into electrical energy. The Daniell cell consists of two electrodes of different metals, Zn and Cu; each electrode is in communication with a solution of its own ion; Zinc sulphate and copper sulphate respectively.

What is the distinction between Daniel cell and voltaic cell?

The key difference between Daniell cell and galvanic cell is that Daniell cell operates only copper and zinc as electrodes whereas a galvanic cell can have a mixture of metals as electrodes.

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The buffer is prepared by adding 250mL of 0.80M NH3 to 150mL of 0.50M NH4NO3. What is the pH of the final solution (Kb for NH3 = 1.8 x 10^-5)

Answers

The pH of the solution is obtained to be 9.67.

What is a buffer?

A buffer is a solution that serves to militate against changes in acidity or alkalinity. The buffer is often made of a solution of a strong acid and its salt or a weak base and its salt.

Now we have the that;

Number of moles of base = 250 /1000 *  0.80 = 0.2 moles

Number of moles of salt = 150/1000 *  0.50 = 0.075 moles

Total volume of the solution = 250 + 150 = 400 mL or 0.4 L

Molarity of the base = 0.2 moles/0.4 L = 0.5 M

Molarity of the salt =  0.075 moles/ 0.4 L = 0.1875 M

pKb = - log( 1.8 x 10^-5) = 4.74

pOH = pKb + log [salt/base]

pOH =  4.74 + log (0.1875/ 0.5)

pOH = 4.33

pH = 14 - 4.33

pH = 9.67

The pH of the solution is obtained to be 9.67.

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How much heat is required to raise the temperature of 67.0 g of water from its melting point to its boiling point?

Answers

When 67 g of water is heated from its melting point to its boiling point, it takes 28006 J of heat.

Relationship between heat production and temperature changeA way to numerically relate the quantity of thermal energy acquired (or lost) by a sample of any substance to that sample's mass and the temperature change that results from that is provided by specific heat capacity.

The following formula is frequently used to describe the connection between these four values.

q = msΔT

where, q = the amount of heat emitted or absorbed by the thing

m =  the object's mass = 67 gm

s =  a specific heat capacity of the substance = 4.18  J/gC

ΔT = the resultant change in the object's temperature = 373.15 -273.15K= 100 k

q = 67 * 4.18 * 100 J

q = 28006 J

Therefore it is concluded that 67 g of water takes 28006 J of heat from its melting point to reach its boiling point.

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What is oxidized in the reaction below?
H₂ + Cl₂
2HCI

Answers

Answer:

Dihydrogen

Explanation:

Dihydrogen is FORMALLY oxidized.... i.e. its oxidation number increases... And we adds the half equations together such that the electrons are eliminated

Here oxidation number or oxidation state of hydrogen and chlorine at reactant is 0. And oxidation numbers of hydrogen and chlorine are 1 and —1 respectively. So hydrogen is oxidized whereas chlorine is reduced.

C4H4N2 lewis structure and formal charges minimized

Answers

The molecule  is composed of two nitrogen atoms above and below the plane of four carbon atoms to which four hydrogen atoms are attached.

What is Lewis structure?

The Lewis structure shows the arrangement of electrons in atoms of molecules. The molecule C4H4N2 is called pyrazine. It is composed of two nitrogen atoms above and below the plane of four carbon atoms to which four hydrogen atoms are attached.

The structure of the molecule C4H4N2  in which formal charges are minimized is shown in the image attached to this answer.

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Given the reaction below, if 0.003 g of carbon dioxide is used up, how many grams of oxygen will be produced? (show work)

6 CO2 + 6 H2O → C6H12O6 + 6 O2

Answers

Stoichiometry: 6 CO2 (reactant) = 6 O2 (product)
Every 6 CO2 (atoms, moles, etc…) that react will wield 6 O2 (atoms, moles, etc…)
0.003g CO2 * (6 O2 / 6 CO2) = 0.003g O2

How many liters of fluorine gas are needed to
form 919 L of sulfur hexafluoride gas if the
following reaction takes place at 2.00 atm
and 273.15 K:
S(s) + 3F₂(g) → SF. (g)?

Answers

2756.1 liters of fluorine gas is needed to produce 919 liters of sulfur hexafluoride.

Given data:

The volume of SF₆ = 919 L

Pressure = 2 atm

Temperature = 273.15 k

The volume of fluorine required =?

Balance chemical equation:

   S (s) + F₂(g)    →  SF₆(g)

First of all, we will calculate the moles of SF₆.

 PV = nRT

 n = PV/RT

 n = 2. atm× 919L / 0.0821 L. atm. mol⁻¹. K⁻¹  × 273.15 K

 n = 1838 atm. L/ 22.43 L. atm. mol⁻¹

 n = 81.9 mol

81.9 moles of SF₆ will produce.

Now we will compare the moles of SF₆ and fluorine from the balanced chemical equation.

  SF₆:   F

  1     :    3

 81.9  :   3/1 × 81.9  = 245.7 moles

Now we will calculate the volume of fluorine.

PV = nRT

V  = nRT / P

V= 245.7 mol × 0.0821 L. atm. mol⁻¹. K⁻¹  × 273.15 K / 2 atm

 V = 5512.2 / 2

 V = 2756.1 L

2756.1 liters of fluorine gas are needed to produce 919 liters of sulfur hexafluoride.

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Read the following sentence starters and descriptions. Identify each as: Claim, Evidence, or Reasoning

Answers

Reasoning includes one or more scientific principles in this context.

What is Reasoning?

This involves the thought about something in a sensible and logical manner due to one or more scientific principles being applied.

It is very important to the claim and evidence as it helps ascertain their validity in science.

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Suppose a gas mixture used for anesthesia contains 4.60 mol oxygen (O₂) and 6.00 mol nitrous oxide (N₂O). The total pressure of the mixture is 2.00 atm. A mole fraction is defined as the moles of a specific component divided by the total number of moles present. What is the mole fraction of O₂ in this mixture?

Answers

Considering the definition of mole fraction, the mole fraction of O₂ in the mixture is 0.434.

Definition of mole fraction

The molar fraction is a way of measuring the concentration that expresses the proportion in which a substance is found with respect to the total moles of the solution.

In other words, the mole fraction expresses the concentration of solute in a solution as the ratio of moles of substance to total moles of solution:

[tex]mole fraction=\frac{moles of substance}{moles of solution}[/tex]

Mole fraction of O₂ in this mixture

In this case, you know a gas mixture used for anesthesia contains 4.60 mol oxygen (O₂) and 6.00 mol nitrous oxide (N₂O).

So, the total moles of the solution can be calculated as:

Total moles = moles of oxygen (O₂) + moles of nitrous oxide (N₂O)

Then:

Total moles= 4.60 moles + 6 moles

Total moles= 10.60 moles

Finally, the more fraction of O₂ can be calculated as follow:

[tex]Mole fraction of O_{2} =\frac{moles of O_{2}}{total moles}[/tex]

[tex]Mole fraction of O_{2} =\frac{4.60 moles}{10.6o moles}[/tex]

Solving:

Mole fraction O₂ = 0.434

Finally, the mole fraction of O₂ in the mixture is 0.434.

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A buffer is prepared by adding 150mL of 0.50 M NH3 to 250mL of 0.50 M NH4NO3. What is the pH of the final solution? (Kb for NH3 = 1.8 x 10^-5)

Answers

From the calculations, the pH of the final solution is 9.04.

What is the pH of the buffer?

We can use the Henderson Hasselbach equation to obtain the final pH of the solution in terms of the pKb and the base concentration.

Number of moles of salt = 250/1000 L * 0.5 M = 0.125 moles

Number of moles of base = 150/1000 L * 0.5 M = 0.075 moles

Total volume of solution = 250ml + 150ml = 400ml or 0.4 L

Molarity of base = 0.075 moles/ 0.4 L = 0.1875 M

Molarity of salt = 0.125 moles/ 0.4 L = 0.3125 M

pOH = pKb + log[salt/base]

pKb = -log(1.8 x 10^-5) = 4.74

pOH = 4.74 + log[0.3125/0.1875 ]

pOH = 4.96

pH = 14- 4.96

pH = 9.04

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A can of soda is opened at room temperature and a hiss is heard. Which factor has changed inside the container?

Answers

The factor that has changed inside the container would be the pressure.

Pressurized containers

Sodas in cans are preserved using a gas, carbon dioxide to be precise.

The gas is used to preserve the drink and sealed under pressure.

When a can of soda is opened, the first thing that escapes is the carbon dioxide gas. By doing so, the pressure in the can reduces.

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in gas expansion, 89J of heat is absorbed from surroundings and the energy of the system is decreased by 125J. Calculate the work done

Answers

From the first law of thermodynamics, the work done is -36 J.

What is the work done?

We are told that the gas is expanding hence it does work while heat is absorbed from the surroundings. This implies that q is positive while w is negative.

Hence;

U = q - w

w = q - U

w =  89J - 125J

w = -36 J

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The solubility of the ionic compound MX3, having a molar mass of 288 g/mol, is 3.60 x 10-2 g/L. Calculate the KSP of the compound.

Answers

[tex]K_{sp}[/tex] of the compound is found to be  5.04 ×[tex]10^{-10}[/tex].

Solubility :Solubility can be define as the amount of a substance that dissolves or mixes in a given amount of solvent at specific conditions.

Solubility equilibrium

Ksp = [tex][A^{+} ]^{a}[/tex] [tex][B^{-} ]^{b}[/tex]

Ksp = solubility product constant

A+ = cation in an aquious solution

B- = anion in an aqueous solution

a, b = relative concentrations of a and b

Given,

Solubility = s = 3.60 × [tex]10^{-2}[/tex] g/L

molar mass = 288 g/ mol

∴ s= 3.60 × [tex]10^{-2}[/tex] g/L ÷ 288 g/ mol = 1.25 ×[tex]10^{-4}[/tex] mol/ L

Reaction:

MX3 ⇄ M + 3X

           s       3s

[tex]K_{sp}[/tex] =[ [tex]M^{+3}[/tex]] [ [tex]X^{-1}[/tex][tex]]^{3}[/tex] = solubility product

∴ [tex]K_{sp}[/tex] =[tex][s]^{} [3s]^{3}[/tex]

∴ [tex]K_{sp}[/tex] = 3 [tex]s^{4}[/tex]

∴ [tex]K_{sp}[/tex] = 3 × (3.60 × [tex]10^{-2}[/tex] [tex])^{4}[/tex]

[tex]K_{sp}[/tex] = 503.8848 ×[tex]10^{-8}[/tex]  = 5.04 ×[tex]10^{-10}[/tex]

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What are the molecular polarity and the intermolecular forces present in the sun

Answers

The molecular polarity of the sun is the dipoole separation of electric charge leading to a molecule in the sun.

What is molecular polarity?

Molecular polarity simply refers to those regions of molecules containing or possessing positive and negative charge

So therefore, the molecular polarity of the sun is the separation of electric charge leading to a molecule in the sun.

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How many MOLES of sulfur hexafluoride are present in 2.33x1022 molecules of this compound

Answers

Answer:

0.0387 moles SF₆

Explanation:

To find the moles of sulfur hexafluoride (SF₆), you need to multiply the number of molecules by Avogadro's number. Avogadro's number is a ratio between molecules and moles. It is important to arrange the conversion in a way that allows for the cancellation of units (the desired unit should be in the numerator). The final answer should have 3 sig figs to match the sig figs of the given value (2.33 x 10²²).

Avogadro's Number:

6.022 x 10²³ molecules = 1 mole

2.33 x 10²² molecules SF₆                    1 mole
---------------------------------------  x  ------------------------------------  =  0.0387 moles SF
                                                    6.022 x 10²³ molecules

What is an orbital in chemistry

Answers

A mathematical function known as an orbital is used to describe the wave-like behavior of an electron, an electron pair, or (less frequently) nucleons.

Atomic orbitals outline the potential locations of electrons within an atom. In molecules, molecular orbitals play the same function.

Each atomic orbital has three quantum numbers, n, l, and ml, attached to it. The wave function was used to calculate these numbers.

The square of the wave function 2 can be used to calculate the size and form of an orbital.

All atomic orbitals are centered on the atomic nucleus and have unique forms.

The s, p, and d orbitals—orbitals that correspond to the s, p, and d subshells—are the orbitals that are most frequently encountered in introductory quantum chemistry.

F orbitals can be found in the ground states of heavier atoms as well.

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Answer:

In chemistry, an orbital is related to also a wave function. An Orbital is a practical region or part that is around the nucleus in a molecule and maybe an atom. It can contain up to two electrons, electrons form themselves around the nucleus.

Explanation:

No Explanation

12 Igneous rocks are formed by (1) sedimentation (2) fossilization (3) volcanic activity (4) freezing/thawing cycles​

Answers

According to the research, the correct option is 3, Igneous rocks are those formed from a molten product from volcanic activity.

What are Igneous rocks?

They are rocks of high resistance, isotropy, brittleness and density that are created from the cooling and solidification of the magma, whether fragmented or compact, that form at erupting volcanoes, that is, this substance, made up of molten rocks and other elements, is found inside the planet.

When the cooling process takes place superficially and quickly, extrusive igneous rocks are produced, among which are obsidian and basalt, they usually appear after the eruption of a volcano, since the ejected lava solidifies.

Therefore, we can conclude that according to the research, the correct option is 3, Igneous rocks are those formed from a molten product from volcanic activity.

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A liquid has q voulume of 34.6 mL and a mass of 46.0g ehat is the density of the liquid

Answers

Answer:

1.33 g/mL

Explanation:

The density of a substance can be calculated using the following formula:

Density = mass (g) / volume (mL)

Since you have been given both the mass and volume, you can easily calculate the density of the liquid.

Density = mass / volume

Density = 46.0 g / 34.6 mL

Density = 1.33 g/mL

Identify the parts of the equation by dragging each label below to the correct arrow on the diagram. Drag the items on the left to the correct location on the right.

Answers

The missing labels are:

CuCO₃(s), H₂SO₄(aq): reactants. +: plus sign. CuSO₄(aq), H₂O(l), CO₂(g): products. (s): solid.(aq): aqueous.(l): liquid.(g): gaseous.

What is a chemical equation?

It is a way to represent a chemical reaction.

Let's consider the following chemical equation.

CuCO₃(s) + H₂SO₄(aq) →  CuSO₄(aq) + H₂O(l) + CO₂(g)

The missing labels are:

CuCO₃(s), H₂SO₄(aq): reactants. They are on the left side of the equation.+: plus sign. It separates substances.CuSO₄(aq), H₂O(l), CO₂(g): products. They are on the right side of the equation.(s): solid.(aq): aqueous.(l): liquid.(g): gaseous.

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Activity
In this activity, you will examine the difference between opinions, facts, theories, and laws. To do so, examine the table
below. Carefully read each example in the table before answering the questions thatfollow.

Answers

Opinions are differ from facts as that we cannot change the facts but opinions can be changed as in first example it is given anthracite is better than bituminous coal may be there is another coal which is more better than anthracite. So here opinion is changed.

What is Coal ?

It is a black or brownish black sedimentary rock. It contains Sulphur, hydrogen, oxygen, carbon etc. It is always preferred as fuel. Coal was formed millions years ago when plant decay in the soil. It is obtained from dead vegetation. It is obtained from dead plants matter decay into peat and then it is converted into the coal by the process of heat.

What is Solar System ?

Solar System is made up of all the planets that revolve around our Sun. Solar System contains eight planets. These planets are Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus and Neptune.

Thus from the above conclusion we can say that Opinions are differ from facts as that we cannot change the facts but opinions can be changed as in first example it is given anthracite is better than bituminous coal may be there is another coal which is more better than anthracite. So here opinion is changed.

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Do the following statement describe physical or chemical property.
Uranium is a radioactive element

Answers

The fact that uranium is a radioactive element is a chemical property. Details about radioactivity can be found below.

What is radioactivity?

Radioactivity is the spontaneous emission of ionizing radiation as a result of a nuclear reaction.

Radioactivity, which is the emission of particles from an unstable nucleus, is a chemical property.

Therefore, it can be said that the fact that uranium is a radioactive element is a chemical property.

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What state of matter is Polaris, the north star?

A. Plasma
B. Liquid
C. Light
D. Gas

Answers

The state of matter of Polaris, the north star is gas.

What are stars made of?

Stars are made up of a mixture of hot gases.

The mixture consists of helium and hydrogen. Hydrogen burns into helium to give starts a shining appearance when observed from a far distance.

Thus, the state of matter of all stars, including the north star, is gas.

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A 5ml solution containing ph of 3.5 was mixed with a solution containing ph of 10.5
What will you expect the pH of the mixture be? Basic, acidic, or neutral? Also provide the pH of the combined solution.

Answers

The resulting solution will be neutral having a pH of 7.

What is the pH?

The term pH is defined as the hydrogen ion concentration in solution. We know that the pH is inversely related to the hydrogen ion concentration in solution.

We know that the reaction between an acid and a base produced a salt. In this case, the salt that is produced is neutral because the acid is completely reacted with the base.

Since the solution contains a mixture of a  containing pH of 3.5 and that of a pH of 10.5, the resulting solution will be neutral having a pH of 7.

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Conversion factors are useful in solving problems in which a given measurement must be expressed in
a. some other unit of measure.
b. the correct precision.
c. the correct number of significant digits.
d. scientific notation.

Answers

Conversion factors are useful in solving problems in which a given measurement must be expressed in some other units of measure.


Conversion factors
are helpful in solving issues where one unit of measurement needs to be expressed in another. In general, a measurement's numerical value changes when it is multiplied by a conversion factor, while the quantity being measured's real size stays the same.
A conversion factor is a number that is used to multiply or divide one set of units into another. If a conversion is required, it must be done using the correct conversion factor to get an identical value. For instance, 12 inches equals one foot when converting between inches and feet.

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An ideal gas in a closed container initially has a volume V and Temperature T the final tempera is 5/4T and the final pressure is 2P what is the final gas

Answers

Answer:

[tex]V_2 = \frac{5V}{8}[/tex]

Explanation:

I am assuming you are saying what is the final volume of the gas

Known :

Initial volume (V1) = V

Initial temperature (T1) = T

Final temperature (T2) = 5/4 T

Initial pressure (P1) = P

Final pressure (P2) = 2P

Wanted: Final volume (V2)

[tex]\frac{P_1V_1}{T_1} = \frac{P_2V_2}{T_2}\\\frac{PV}{T} = \frac{(2P)V_2}{(5/4)T}\\\frac{V}{1} = \frac{(2)V_2}{5/4}\\5/4V = 2V_2\\\\V_2 = \frac{5V}{8}[/tex]

Aqueous sulfuric acid (H2SO4) will react with solid sodium hydroxide (NaOH) to produce aqueous sodium sulfate (Na2SO4) and liquid water (H2O). Suppose 5.88g of sulfuric acid is mixed with 6.3 g of sodium hydroxide. Calculate the maximum mass of water that could be produced by the chemical reaction. Round your answer to 3 significant digits

Answers

Answer:

2.16 g H₂O

Explanation:

Since we are not given the limiting reagent, we need to convert both reactants into the product. The actual amount of product will be the smaller mass produced.

To find the answer, we need to (1) convert grams reactant to moles reactant (via molar mass), then (2) convert moles reactant to moles H₂O (via mole-to-mole ratio from balanced equation coefficients), and then (3) convert moles H₂O to grams H₂O (via molar mass). It is important to arrange the ratios in a way that allows for the cancellation of units.

The balanced equation:

1 H₂SO₄(aq) + 2 NaOH(s) -----> 1 Na₂SO₄(aq) + 2 H₂O(l)

Molar Mass (H₂SO₄): 2(1.008 g/mol) + 32.065 g/mol + 4(15.998 g/mol)

Molar Mass (H₂SO₄): 98.073 g/mol

Molar Mass (NaOH): 22.990 g/mol + 15.998 g/mol + 1.008 g/mol

Molar Mass (NaOH): 39.996 g/mol

Molar Mass (H₂O): 2(1.008 g/mol) + 15.998 g/mol

Molar Mass (H₂O): 18.014 g/mol

5.88 g H₂SO₄           1 mole              2 moles H₂O            18.014 g
----------------------  x  -----------------  x  ------------------------  x  -----------------  =  
                                98.073 g            1 mole H₂SO₄           1 mole

=  2.16 g H₂O

6.3 g NaOH            1 mole              2 moles H₂O              18.014 g
--------------------  x  -----------------  x  --------------------------  x  ----------------  =
                              39.996 g           2 moles NaOH            1 mole

=  2.84 g H₂O

Since H₂SO₄ produces the smallest amount of product, it is the limiting reagent. In this case, H₂SO₄ is completely used up before NaOH has the chance to react totally. Therefore, the actual amount of H₂O produced is 2.16 g.

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