when 27.64 g of a hydrocarbon is burned in a bomb calorimeter, the temperature increases by 54.91c. if the heat capacity of the calorimeter is 68.5 j/c and the sample is submerged in 1000 ml of water, how much heat (in kj) was produced by the hydrocarbon combustion?

Answers

Answer 1

By using the data given in the text and the specific heat capacity of water and its density, we can calculate that the amount of heat produced by hydrocarbon combustion was 233.6 kJ.

The heat released by hydrocarbon combustion is absorbed by the calorimeter and the water in it. To calculate the amount of heat (Q) produced by the combustion, we are going to use the specific heat capacity of water (c = 4.186 J/g°C), the heat capacity of the calorimeter (q = 68.5 J/°C) and the difference in temperature (ΔT = 54.91 °C):

heat absorbed by the calorimeter = ΔT*q

heat absorbed by water = ΔT*c*m

Q = ΔT*q + ΔT*c*m

m - the mass of water

To obtain the mass of water, we are going to use the volume (V = 1000 mL) of water and its density (d = 1.00 g/mL):

d = m/V ⇒ m = d * V

m = 1.00 g/mL * 1000 mL

m = 1000 g

Now we can plug all the known values in the formula for Q:

Q = 54.91 °C * 68.5 J/°C + 54.91 °C * 4.186 J/g°C * 1000 g

Q = 233,614.595 J

Q = 233.6 kJ

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Related Questions

Calculate the root mean square velocity for the atoms in a sample of helium gas at 25°C

Answers

The gas constant is equal to R=8.314 J/mol K, while the atomic mass of helium is equal to M=4.0 g/mol. M = 4.0 g / m o l . As a result, the helium atom's rms speed is 1304.7 m/s. So, 515 m/sec is the root-mean-square speed.

What is root mean square velocity?

The value of the square root of the sum of the squares of the stacking velocity values divided by the quantity of values is the root-mean square (RMS) velocity. The RMS velocity is the speed of a wave traveling along a certain ray path across subsurface strata with various interval velocities.

The expression v=sqrt(3RTM) and v=sqrt(3KTm), where R is the universal gas constant, T is the absolute (Kelvin) temperature, m is the molar mass, K is the Boltzmann's constant, and M is the molecular mass, gives the root mean square (R.M.S.) speed V of the molecules of an ideal gas.

Since the particles in a typical gas sample are flowing in all directions, the average velocity for that sample is zero, which is why we use the rms velocity instead of the average. This is an important formula since the particle velocity controls both the diffusion and effusion rates.

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pentaborane-9, bshg; is a colorless, highly reactive liquid that will burst into flame when exposed to oxygen. the reaction is 2bshg(l) 1202(g) sbzos(s) 9hzo(l) calculate the kilojoules of heat released per gram of the compound reacted with oxygen. the standard enthalpy of formation of shg is 73.2 kj mol.

Answers

The kilojoules of heat released per gram of the compound reacted with oxygen is -72.052 kj/g

The standard enthalpy of formation is a measure of the strength launched or fed on while one mole of a substance is created under trendy situations from its natural elements. The symbol of the standard enthalpy of formation is ΔH f. = A degree means that it's a fashionable enthalpy change.

Enthalpy of a formation refers to the trade in enthalpy for the formation of one mole of a substance from the maximum solid form of its constituent factors. change in enthalpy is symbolized by means of delta H and the f stands for formation.

Given,

compound             ΔH°f

B₅H₉                       73.2

B₂O₃                       -1271.94

H₂O                        -285.83

Balanced chemical equation:-

2B₅H₉  (l)  +  12O₂ +(g) => 5B₂O₃  + 9H₂O(l)

From Hess's law

ΔH°min = Σ enthalpies of products - Σ enthalpies of reactants

             = 5× (-1271.94) + 9×( -285.83) - 2(73.2) kj/mol

ΔH°min = -9078.59 kj/mol

It is seen that 2 moles of B₅H₉    react with O₂ is  -9078.59 kj/mol

For 1 mole = -9078.59 kj/mol/2

                 = 4539.295 KJ/mol

The energy released per gram = energy released per mol/molar mass of B₅H₉

                                            = 4539.295 kj/mol/63 g/mol

energy released per gram = -72.052 kj/g

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help me out please and thank you

Answers

Answer:

Explanation:

nitrogen dioxide and calcium oxide

Which of the following are isotopes of element X, with atomic number of 9: 19/9X, 20/9X, 9/18X, and 21/9X.

Answers

The isotopes of the element X are; 19/9X, 20/9X and 21/9X.

What are isotopes?

The term isotopes has to do with the atoms that have the same atomic number but they do not have or posses the same mass number. The implication of this definition is that the atoms that we call the isotopes are different in the number of the neutrons that they do contain.

Now we know that the common thread that holds the atoms that we call an isotope of each other is that they have the same atomic umber and the atomic number of the atom X in this case is 9.

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question related to relative atomic mass
please show the working!

Answers

Answer:

Element XX has a relative atomic mass of 6.86 aum

Explanation:

See attached worksheet.

safety: which statement best describes how the system should be heated? do not allow the solvent to boil. heat gently so that the solvent boils and the vapors reach the full height of the condenser. heat gently so that the solvent boils and the vapors extend no more than half way up the condenser. boil as vigorously as possible.

Answers

The system should be heated gently so that the solvent boils and the vapors extend no more than halfway up the condenser.

Boiling is the fast vaporization of a fluid, which happens when fluid is warmed to its bubbling point, the temperature at which the vapor weight of the fluid is rise to the weight applied on the fluid by the encompassing air.

There are two fundamental sorts of bubbling: nucleate bubbling where little bubbles of vapor shape at discrete focuses, and basic warm flux bubbling where the bubbling surface is warmed over a certain basic temperature, and a film of vapor shapes on the surface.

In thermodynamics, heating a system, the prerequisite for the bubbling of unadulterated substances to happen is that T divider = T sat. But in genuine tests, bubbling does not happen until the fluid is warmed some degrees over the immersion temperature.

The surface temperature must be to some degree over the immersion temperature in arrange to maintain vapor arrangement.

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A sample of propane, a component of lp gas, has a volume of 35. 3 l at 315 k and 922 torr. What is its volume at stp?.

Answers

A Sample of propane, a component of LP gas has a volume of 35.3L at 315K and 922torr. Its volume at STP is 37.6 L.

STP conditions are defined as a pressure of

100kPa= 100kPa.  1atm / 101  . 325kPa   . 760torr/1atm

= 750.1torr

And a temperature of 0ەC = 0ەC +273.15= 273.15K

So, from here we knew that both pressure and temperature of the gas are changing. Here we use combined gas law equation.

The combined gas law is an amalgamation of the three previously known laws which are Boyle’s law PV = K, Charles law V/T = K, and Gay-Lussac’s law P/T = K. Therefore, the formula of combined gas law is PV/T = K,   Where P = pressure, T = temperature, V = volume, K is constant.

P1V1/T1 = P2V2/T2

Here P1, V1 and T1 are the pressure volume and temperature of the gas at an initial stage.

And P2, V2 and T2 are pressure volume and temperature of the gas at final stage.

So,

  P1V1/T1 = P2V2/T2

= > V2 = (  P1 .T2 /P2.T1).V1

Put all values in the expression.

  V2 = (922torr . 273.15K /750.1torr . 315K ) . 35.3L

        =   37.6 L

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Which of the following is a disadvantage of increasing our use of solar energy?It would reduce our dependence on fossil fuels.Energy from the sun is abundant.Currently, the production and storage of solar energy is bit as cost efficient when compared to obtaining the same quantity of energy from fossil fuels.Solar energy does not generate air pollution such as nitrogen oxides and sulfur oxides.

Answers

The disadvantage of increasing our use of solar energy is that unfortunately currently, the production and storage of solar energy is bit as cost efficient when compared to obtaining the same quantity of energy from fossil fuels.



Why is this canyon an example of how the surface of Earth changes slowly map test question

Answers

This canyon is an example of how the surface of Earth changes slowly due to the slow and gradual process of erosion by water and wind.

What process is responsible for the slow change in the surface of Earth demonstrated by the canyon in the given question?

The slow and gradual process of erosion by water and wind is responsible for the slow change in the surface of Earth demonstrated by the canyon.

How does the canyon serve as an example of the slow change in the surface of Earth?

The canyon demonstrates how the surface of Earth changes slowly due to the process of erosion by water and canyon, which gradually wear away the rock and reshape the landscape over millions of years.

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Summarize the formation of a base.

Answers

Bases can be formed by the direct combination of the elements that form the bases.

What are bases?

Bases are substances that react with acids to form salt and water only.

Bases are usually oxides or hydroxides of metals.

Bases have the property of turning red litmus blue.

The formation of a base will involve the direct combination of the constituent elements.

For example, the formation of the bases magnesium oxide and ammonia is shown below:

Ammonia: N₂+ 3 H₃ ---> 2 NH₃

Magnesium oxide: 2 Mg + O₂ ---> MgO

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A sample of a metal has a mass of 2272 grams. Its dimensions are 5 cm by 5 cm by 8 cm. What is the density of the sample?

Answers

If a  sample of metal has a mass of 2272 grams. Its dimensions are 5 cm by 5 cm by 8 cm, then the density of the sample of the metal would be 11.36 grams / centimeter³.

What is density?

It can be defined as the mass of any object or body per unit volume of the particular object or body.

ρ = mass / volume

As given in the problem sample of metal has a mass of 2272 grams. Its dimensions are 5 cm by 5 cm by 8 cm.

The density of the metal  = 2272 / (5 × 5× 8)

                                         = 11.36 gram / cm³

Thus, the density of the metal would be 11.36 grams / cm³.

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how does the synthesis of mendelevium differ from that of californium?

Answers

Mendelevium and californium , both synthesize differently because Mendelevium is a synthetic element and californium is a radioactive chemical element.

What is mendelevium and californium and how do they synthesize?Mendelevium is metallic radioactive transuranium element . It is in the actionoid that is in the actinide series.Mendelevium is an element which was produced by the cyclotron and was all night experiment.Doing the same for longer period of time produces thousands of mendelevium atoms.Californium are made by firing helium nuclei at curium-242, and this process yield the isotope californium-245 .Californium-245 has a half live of 44 minutes and was initially produced 5000 atoms of californium.

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in a buffer containing acetic acid (ch2cooh) and sodium acetate (nach2coo-) at a ph of 5, if the concentration of sodium acetate is 100. mm, what is the concentration of acetic acid?

Answers

By using the Henderson-Hasselbalch equation, we can calculate that the concentration of acetic acid in the given buffer is 57.5 mM.

When calculating the pH value of a buffer system, we use the Henderson-Hasselbalch equation:

[tex]pH = pK_{a} + log\frac{[base]}{[acid]}[/tex]

pKa - the negative logarithm of the acidic constant (for acetic acid, pKa = 4.76)

[base] - concentration of the basic (sodium acetate) component

[acid] - concentration of the acidic (acetic acid, AcOH) component

If we plug the known values (pH = 5; [base] = 100 mM; pKa = 4.76) in the equation we get:

[tex]5 = 4.76 + log\frac{100 mM}{[AcOH]}[/tex]

[tex]log\frac{100 mM}{[AcOH]} = 5-4.76[/tex]

[tex]log\frac{100 mM}{[AcOH]} = 0.24[/tex]

[tex]\frac{100 mM}{[AcOH]}= 10^{0.24}[/tex]

[tex]\frac{100 mM}{[AcOH]}= 1.74[/tex]

[AcOH] = 100 mM / 1.74

[AcOH] = 57.5 mM

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3- Which substance is not a macromolecule?
A diamond
B graphite
C silicon(IV) oxide
D sulfur

Answers

It’s d sulfur
Rffeevwgeec

Answer:D

Explanation:plato

1. What are the units remaining after the conversions below? 35 POINTS

Answers

The units that are left in each case are;

1) mile

2) atoms

What are conversion factors?

The term conversion factor has to do with the way that we are able to use a given set of numbers to be able to help us to convert from one unit to another. This is very important especially when we are dealing with something that involves calculations and makes the use of computational methods very easy.

Let us now look at the image that has been shown in the question. We have to recall that some units have to cancel out so that we can be able to get the target unit that we are looking for in the course of the conversion as shown.

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Which of the following are medical applications of radiation? Select all that apply.

Answers

The following which are medical applications of radiation include the following below:

Cancer therapyGenetic engineering.Detecting thyroid malfunction.

What is Radiation?

This is referred to as the transmission of energy through space and it usually occurs at the speed of light thereby making it a very fast method of heat transfer when compared to the others. Radiation are used for various purposes such as immigration for searching luggage etc.

It is also used for medical reasons such as cancer therapy as the radiation help in destroying the cancerous cells thereby making it easy for their removal from the body system. It is also used for genetic engineering in the creation of new types of substances through the modification of nucleic acids such as DNA etc.

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Click here to view a list of the common polyatomic ions. what is the formula for ammonium sulfate? nh4so4 na2so3 (nh4)2so4 na2so4

Answers

Option C ;(NH4)2SO4 is the formula for ammonium sulfate.

It is an inorganic salt. It appears as fine white crystals. Its molecular weight is 132.14g/mol. Its density is 1.77g/cm³.It has many commercial uses. It is mainly used as fertilizer for alkaline soils because ammonium ions forms small amounts of acid which lowers the pH of the soil.

It is acidic with pH of 5.5. Its melting point is 235 °C. it is soluble in water. It is obtained by the reaction of sulfuric acid with ammonia. Sulfuric acid will react with two equivalents of ammonia.

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Answer:

C. (NH4)2SO4

And the second question is

A. KOH

Explanation:

hydrogen has two stable isotopes, 1 1h and 2 1h, and sulfur has four stable isotopes, 32 16s, 33 16s, 34 16s, and 36 16s. how many peaks would you observe in the mass spectrum of the positive ion of hydrogen sulfide, h 2 s 1 ? assume no decomposition of the ion into smaller fragments.

Answers

There would be seven peaks if you could observe them all while considering no decomposition of the ion into smaller fragments.

Each sulfur isotope would give a peak so there are three possible combinations of the hydrogen isotopes:

H-H (m/z = 2), H-D (m/z = 3) and D-D (m/z = 4).

Thus, you will find 4 × 3 = 12 components for the molecular ion.

However, some of these peaks will overlap each other so the stable isotopes of sulfur have masses 32, 33, 34, and 36.

Thus, the expected peaks will be:

32S:m/z=34,35,36

33S:m/z=35,36,37

34S:m/z=36,37,38

36S:m/z=38,39,40

If every peak were visible, you would see seven peaks in total.

They would have m/z = 34, 35, 36, 37, 38, 39, 40.

Isotope peaks are ionic parts of the same chemical equation that are more often than not visible to different adjoining crests inferable to particles of distinctive isotopic compositions.

The number of isotope crests and the relative concentration of each crest depends on the chemical equation of the ionic part and the normal isotopic composition of its constituent components.

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8CO + 17H2 → C8H18 + 8H2O

In this chemical reaction, how many grams of H2 will react completely with 6.50 moles of CO? Express your answer to three significant figures.

___ grams of H2 will react completely.

((27.6 IS NOT THE CORRECT ANSWER!!!!!)

Answers

Answer:

I don't know why 27.6 g is not the correct answer.  I believe that it is correct.

27.6 grams of [tex]H_{2}[/tex].

Explanation:

The balanced equation tells us that 17 moles of hydrogen will react completely with 8 moles of carbon monoxide.  That is a molar ratio of 17/8 moles H2/molesCO.

If we start with 6.5 moles of CO, we need:

(6.5 moles CO)*(17/8 moles H2/moles CO) = 13.8 moles of H2 (3 sig figs)

Convert 13.8 moles of H2 into grams H2 by multiplying by the molar mass iof H2 (2g/mole):

(13.8 moles H2)*(2 g H2/mole H2) = 27.6 grams of [tex]H_{2}[/tex].

I am doing an assignment for science but i messed up my char on the elements can someone fix it for me please ( WILL ALSO GIVE BRAINLIEST )
VVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVV

Answers

Answer: The part I think you messed up on is the atoms not all of them have 0 and 1. Sodium Chloride has 2 atoms. Other than that it looks amazing! Hope this helps!

you can find the specific gravity of a substance by dividing its density by

Answers

Density of a substance is the ratio of its mass to volume. Specific gravity of the substance is the ratio of its own density to the density of water. Thus, dividing its density by density of water.

What is specific gravity?

Specific gravity of an object is the ratio of its density to the density of water. In fact it is related to the gravity itself in water. This ratio determines whether the object float or sink to the bottom of water.

If the specific gravity is greater than one, which means the object is denser than water and it will sink to the bottom of water because of its weight. If the specific gravity is less than one, then the object have less density than water and it will float on water.

All the floating objects have a specific gravity of less than one. Irrespective of the weight of the objects they floats because of their higher density than water.

Ice floats on water where a stone will sink. Similarly large ships, canoes etc are floating because of their smaller specific gravity. This way we can compare the floating property using specific gravity.

Therefore, specific gravity of a substance can be found by dividing its density by the density of water.

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suppose you have a solution that is made by combining 25 grams of salt (the solute) with 75 grams of water (the solvent). what is the mass percent of the salt?

Answers

The mass percent of the salt is 33.33%

How does mass percent chemistry work?

The percentage of a solution's mass that is made up of solutes is known as the mass percent. This percentage is measured in relation to the total mass of the solution.

The term "mass percent composition" also refers to weight percentage. It is referred to as w/w%. The formula for mass percent in a solution is the mass of an element in one mole of the compound divided by the compound's molar mass, then multiplied by 100%.

Total mass of solution = 75g

The mass percent of the salt= 25/75×100%

The mass percent of the salt= 33.33%.

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What is flow of lava called?

Answers

The flow of lava is called Clinkers because of their rough and jagged appearance

Answer:

Clinkers

Explanation:

Clinkers are generally considered to form by fragmentation of an upper vesiculated crust due to an increase in apparent viscosity and/or to an increase in shear strain rate

dispersion forces are the only type of intermolecular force exhibited by atoms and by molecules. without the existence of dispersion forces, such substances would only exist as

Answers

London dispersion forces would be the only intermolecular force holding two methane molecules together.

The least powerful intermolecular force is the London dispersion force. When the electrons in two nearby atoms occupy positions that cause the atoms to temporarily form dipoles, the consequence is the London dispersion force, a transient attractive force. The term "induced dipole-induced dipole attraction" is frequently used to describe this effect.

Argon, hydrogen gas, fluorine gas, and methane are non-polar particles that solely have London dispersion forces between their atoms or molecules.

When molecules and/or ions are sufficiently close to one another, it is presumed that these dispersion forces exist between all of them. It is believed that ions and dipoles produce stronger, farther-reaching electrical forces that work in addition to those already mentioned.

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8. 00 g of ethane gas, c2h6, is burned in oxygen. What volume of carbon dioxide gas is produced at 1. 00 atm and 25. 0°c?.

Answers

Answer:

Explanation:1 g CH

4

,C

2

H

6

C

3

H

8

C

4

H

10

T = 350 K, P = 1 atm

PV=nRT=

M

w×R×T

1×V=

58

1

×0.0821×350

V=0.495 L

V=495cm

3

the following steps are used to separate a mixture of sugar, sand, and nails list the letter of steps in the order they should be completed

Answers

The Water does not dissolve sand, but it does dissolve sugar. In order to dissolve the mixture in water. Sand will settle and sugar and water will separated combine to produce a solution.

Sugar can be obtained by the crystallization, while sand can be filtered and separated. The Filtration and evaporation can be used to separate the salt and sand mixture. Sand can be separated by filtering a mixture of sand and salt solution (salt dissolved in water). After filtering, sand remains as a residue on the filter paper. Now it is possible to make common salt by boiling the filtrate.

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Profiles Tab Window HelpE- CengageNOW Online texgmenttakeCovalentActivity.do?locator assignment-takeTUTOR Percent YieldCengage: Digital Course S xResubmit[References]Consider this reaction, which occurs in the atmosphere and contributes to photochemical smog:N₂(9) + O₂(g) -2NO(g)If there is 16.28 g N₂ and excess O₂ present, the reaction yields 27.5 g NO. Calculate the percent yield for thereaction.Show Approach Show Tutor StepsE-OWL2| Online teaching x E OWLA21 Assignments | D902IncorrectYou can work though the tutor steps and submit your answer again.2

Answers

Answer:

[tex]78.83\text{ \%}[/tex]

Explanation:

Here, we want to calculate the percentage yield of the reaction

Mathematically, we have that as:

[tex]\frac{Actual\text{ Yield}}{Theoretical\text{ Yiled }}\text{ }\times\text{ 100 \%}[/tex]

The mass of the product NO given in the question is the actual yield which is 27.50 g

Now, let us get the theoretical yield

We find the number of moles of nitrogen gas that reacted

Mathematically, that is the mass of nitrogen gas divided by the molar mass

The molar mass of the nitrogen gas is 28 g/mol

The number of moles is thus:

[tex]\frac{16.28}{28}\text{ = 0.5814 mol}[/tex]

From the equation of reaction, 1 mole of N2 yields 2 moles of NO

Thus, 0.5814 mol of N2 will yield:

[tex]0.5814\text{ }\times\text{ 2 = 1.1628 mol}[/tex]

Now, to get the mass of NO produced, we multiply this number of moles by the molar mass of NO

The molar mass of NO is 30 g/mol

The mass that was produced is thus:

[tex]30\text{ }\times\text{ 1.1628 = 34.884 g}[/tex]

Finally, we have the percentage yield as:

[tex]\frac{27.50}{34.884}\text{ }\times\text{ 100 \% = 78.83 \%}[/tex]

9. suppose you are analyzing an unidentified spread that has qualities of butter. how could determining whether or not the product was hydrogenated help you to identify the item?

Answers

We will be able to tell if the spread is margarine if it has been hydrogenated.

A liquid unsaturated fat can be made into a solid fat by the process of hydrogenation. In order to make an unsaturated fat saturated, hydrogen atoms must be injected into it. Trans fat, a particular form of fat, is created during this hydrogenation process.

An unsaturated fat undergoes hydrogenation, changing from a liquid to a solid. Unsaturated fats become saturated ones as a result of this process. The remaining unsaturated fats undergo another molecular shape change during this phase. An "trans" form is the end outcome.

We must maintain both of them at room temperature in order to analyze the unidentified spread. The process of hydrogenating corn oil results in the production of margarine.

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a student wrote this name for a compound made of calcium and sulfer. Sulfer calcium. What is wrong with this name? Write the correct name for the compound.

Answers

Answer: Should actually be Calcium Sulfide

Explanation: Alkali metal + non metal = salt.

2nd element in compound should either end in -ide or

Melting and boiling points of a pure liquid
are........ physical quantities, whereas mass
and volume are........... physical properties.

Answers

Melting and boiling points of a pure liquid are intensive physical quantities whereas mass and volume are fundamental physical quantities.

What is melting point?

The typical definition of the melting point is the temperature at which a substance transforms from a solid to a liquid.

The temperature at which a liquid under atmospheric pressure changes from a solid to a liquid is known as its melting point. Here, both the liquid and solid phases coexist in equal amounts. The substance's melting point is listed under standard pressure, although it varies with pressure as well.

What is boiling point?

The temperature at which a liquid's vapour pressure equals the surrounding atmosphere is known as the boiling point of the liquid. This temperature causes the liquid to become a vapour.

The boiling point of the liquid is influenced by the atmospheric pressure. When a liquid is at high pressure, its boiling point is higher than when it is at atmospheric pressure. Different liquids have variable boiling points at a specific pressure. The standard boiling point of a liquid was established by IUPAC in 1982 as the temperature at which a liquid starts to boil at a pressure of one bar.

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1) the index number representing the price level changes from 110 to 115 in one year, and then from 115 to 120 the next year. since the index number increases by five each year, is five the inflation rate each year? is the inflation rate the same each year? explain your answer. -5< x < 5Graph the solution set on a number line frances is a photographer who lived back in 1839 and enjoyed the popularity of the daguerreotype photographic process. he had a client who requested two copies of a portrait photograph that frances was taking. what did frances likely have to do to accomplish this? Which of the following ordered pairs is either the x- or y-intercept of the function 3x + 2y = -6? please select which option is the most accurate line from the manifesto for agile software development? group of answer choices comprehensive documentation before working software working software over comprehensive documentation expedient development over working software comprehensive documentation defines working software help me please please please please please, please What is the slope that passes through these points? (0, -4) and (-5, -5) While in a park, you walk west for 52 m, then you walk 31.1 north of west for 40 m, and finally you walk due north for 25 m. Find the components of your final displacement (in m), from your initial to final point, along the north and west directions. What is 35% of 125? a 95 kg man lying on a surface of negligible friction shoves a 74 g stone away from himself, giving it a speed of 4.0 m/s. what speed does the man acquire as a result? suppose the median household earned $9,243 in 1976 and $52,765 in 2016. during that time, also suppose the cpi rose from 48.2 to 214.68. instructions: round your answers to one decimal place. a. the total growth rate in nominal median household income from 1976 to 2016 was: %. b. the total growth rate in real median household income from 1976 to 2016 was: The bike you have been saving for is discounted 25%. You have $400 saved to purchase it. The original, non-discounted price of the bike is $450. There is a 5.44% sales tax added to the price of the bike. After you purchase the bike with the discount and sales tax, how much money will you have left over? Round your answer to the nearest dollar. Look at photo down below for question PassageDuring World War II, wheg many experienced firefighters were called to duty, local communities had to dealwith forest fires on their own. This situation led to a national campaign to prevent fires caused by humancarelessness, and to the creation of the character Smokey Bear (contrary to popular belief, it's not Smokeythe Bear). The campaign has been successful-since its inception, the average area lost annually to forestfires has dropped from 22 million to 4 million acres.QuestionWhat assumption does the author of the passage make?O Fighting forest fires was not a priority during World War II.O Human carelessness is the cause of every forest fire.O The decrease in forest fires is a result of the Smokey Bear campaign.O Communities will soon have to fight forest fires on their own again. How do you evaluate the following polynomials for a domain value?P(x) = -3x + 9x find P(-5) 12*pi=pi*12Name the property that the following statement illustratesA. Identify property of multiplicationB. Associative property of multiplication C. Commutative property of additionD. Commutative property of multiplication E. Identity property of additionF. Associative property of addition A plumber charges a flat fee of 75 to visit a home and examine a clogged drain. The plumber charges an additional 22 per hour spent fixing the drain. The total cost, (in dollars), for fixing a drain that takes hours is given by the following. Find the percent markdown. Cost of a pants $36.95, selling price $24.02 I need help with my math assignment thank you :) Rewrite the expression using only positive integer exponents. (m2/3n-1/3)^5