refer to the neutralization of nitric acid by sodium hydroxide discussed in the introduction. calculate the heat of reaction (in kj) when 44.4 ml of 1.3 m nitric acid reacts with 51.5 ml of 0.6 m sodium hydroxide.

Answers

Answer 1

The heat of reaction when 44.4 ml of 1.3M nitric acid reacts with 51.5 ml of 0.6M sodium hydroxide is equal to 1.66 KJ.

What is a neutralization reaction?

A neutralization reaction is a chemical reaction in which an acid and base react with each other to generate salt and water. The acidic strength of the reactant (strong acid) will give the pH of the neutralized solution.

HCl    +    NaOH →   NaCl   +   H₂O

Given, the nitric acid, V = 44.4 ml and concentration = 1.3 M

The sodium hydroxide, V = 51.5 ml and concentration = 0.6 M

The number of moles of nitric acid = 44.4 × 1.3 = 57.59 mmol

The number of moles of sodium hydroxide = 51.5 × 0.6 = 30.9 mmol

Here sodium hydroxide is the limiting reagent.

The heat of reaction for one mole = 53.7 KJ

Then for 30.9 mmol, the heat of reaction = (30.9/1000) ×53.7 = 1.66 KJ

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Related Questions

physicists kelvin and helmholtz in the last century proposed that the source of the sun's energy could be:

Answers

Answer:

produced continually by the impact of meteors falling onto its surface.

Explanation:

Which describes one way that Aristarchus's explanation of the movement of objects in the sky was different from other scientists' earlier explanations? He discovered Venus’s phases. He argued that Earth rotates on its axis. He explained the concept of retrograde motion. He described the epicycles of the planets in the sky.

Answers

Answer:

The correct option is;

He argued that Earth rotates on its axis

Explanation:

The hypothesis that the Sun is at the center of the universe and the Earth, the other planets and other heavenly bodies are revolving around the Sun was first proposed by Aristarchus of Samos who also believed that the motion of the stars where actually due to the rotation of the Earth about its axis

However, the propositions where rejected at the time because it was contrary to perception and senses such that a revolving Earth has to have a moving "great wind" in the air around us

Aristarchus's explanation of the movement of objects in the sky was different from that of other scientists because he argued that Earth rotates on its axis.

The solar system was deeply studied by the early astronomers. Each of them offered an explanation for the movement of objects in the sky. Some of these postulations were inconsistent with scientific evidence.

However, Aristarchus postulated that the sun is at the center of the solar system and that the earth and other planets move round the sun in orbits.

Hence, he suggested that the sun and not the earth was at the center of the solar system.

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A 9.583 L contains nitrogen gas under a pressure of 4.972 atm at
31.8°C. Calculate the number of moles of nitrogen in the tank.

Answers

Answer:

0.0188

Explanation:

using pv=nRt

where v--volume

p pressure

n number of moles

t temperature in kelvin

R molar gas constant=8.314atmmoldm^-3k^-1

4.972 × 9.583 =n × 8.314 × (31.8 + 273)

note I changed 31.8c to kelvin

making n subject of the formula

n=(4.972 × 9.583)/(8.314 ×(31.8 + 273)

n=(4.972 × 9.583)/(8.314 ×(304.8))

n=0.0188 moles

Be sure your

Calculate the volume in milliliters of a 0.92M barium acetate solution that contains 75.0 g of barium acetate

e (Ba(C,H,02),)

answer has the correct number of significant digits.

Answers

The volume of a 0.92 M barium acetate solution that contains 75.0 g of barium acetate is 319 mL.

To calculate the volume in milliliters of a 0.92M barium acetate solution that contains 75.0 g of barium acetate, follow these steps:
Determine the molar mass of barium acetate, Ba(C₂H₃O2)₂.
Ba: 137.33 g/mol
C₂H₃O₂: 2 * (2 * 12.01 g/mol + 3 * 1.01 g/mol + 2 * 16.00 g/mol) = 2 * 59.04 g/mol
Total molar mass: 137.33 g/mol + 2 * 59.04 g/mol = 255.41 g/mol
Then, calculate the moles of barium acetate in 75.0 g.
moles = mass / molar mass
moles = 75.0 g / 255.41 g/mol = 0.2937 mol
Use the molarity formula to find the volume in liters.
M = moles / volume (L)
0.92M = 0.2937 mol / volume (L)
Volume (L) = 0.2937 mol / 0.92M = 0.3192 L
Convert the volume from liters to milliliters.
Volume (mL) = 0.3192 L * 1000 mL/L = 319 mL (rounded to 3 significant digits)

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Based on the information in the table, which two elements are most likely in the same group, and why?

Answers

The answer would be Bismuth and Nitrogen because they have the same number of valence electrons. Groups in the periodic table are arranged in columns. When it comes to neutral atoms, the number of valence electrons it has is equal to the main group of that element.

Which of the following is a way that the pressure of an object can be decreased?

Answers

Answer:

There is no attachment

however, u could remove the object

Answer:

The pressure of an object, is made off of atoms, and the hotter they are, the quicker they'll go. Meaning they're under pressure, and the atoms begin to start to melt, and as it'll go the object will start catching on fire. The way how an object and atom are out of pressure is to be cooled, the cooling of an atom freezes the atom, which'll mean they wont move or do anything matter of fact. Thus, the cooling of atoms is how you take an object/atom out of pressure.

Hope this helps. :)

Question: What is the coefficient for OH−(aq) when MnO4−(aq) + Fe2+(aq) → Mn2+(aq) + Fe3+(aq) is balanced in basic aqueous solution?

Answers

In the balanced equation for the reaction\(MnO_{4}^-(aq) + Fe_{2} ^+(aq) -- > Mn_{2}^+(aq) + Fe_{3}^+(aq)\) in basic aqueous solution, the coefficient for OH−(aq) is 4.

To balance the given equation in basic aqueous solution, we need to ensure that the number of atoms of each element is equal on both sides of the equation and that the overall charge is balanced. Here's how the equation is balanced:

First, we balance the atoms other than hydrogen and oxygen. The equation becomes:

\(MnO_{4}^-(aq) + 5Fe_{2} ^+(aq)+8H_{2}O(l) -- > Mn_{2}^+(aq) +5 Fe_{3}^+(aq)\)

Next, we balance the oxygen atoms by adding water molecules (H2O):

\(MnO_{4}^-(aq) + 5Fe_{2} ^+(aq)+8H_{2}O(l) -- > Mn_{2}^+(aq) +5 Fe_{3}^+(aq)+4H_{2}O(l)\)

Now, we balance the hydrogen atoms by adding OH−(aq) ions:

\(MnO_{4}^-(aq) + 5Fe_{2} ^+(aq)+8H_{2}O(l) -- > Mn_{2}^+(aq) +5 Fe_{3}^+(aq)+4H_{2}O(l)+4OH^-(aq)\)

Therefore, in the balanced equation, the coefficient for OH−(aq) is 4. This balances the hydrogen atoms and ensures that the equation is balanced in basic aqueous solution.

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How many moles of LiCl will I have if I start off with .425 moles of CaC12?

Answers

LiOH+CaCl_2—»LiCl+Ca(OH)_2

Balanced

Moles of CaCl_2=0.425mol

1 mol CaCl_2 producees 1 mol LiCl

Moles of LiCl

0.425(1)0.425moles

The equation is

\(\\ \tt{:}\dashrightarrow LiOH+CalCl_2\longrightarrow LiCl+Ca(OH)_2\)

This is balanced

1mol of LiCl needs 1 mol CaCl_2

Then

0.425mol of CaCl_2 will produce 0.425mol LiCl

Arrange the organic compounds from most soluble in water to least soluble in water: Most soluble in water Least = soluble in water...

Answers

Alcohol is more soluble in water than ether. And CH4 is non polar. So, CH4 will be almost insoluble water.

CH3OH - most soluble

CH3-O-CH3 - second

CH4 - least soluble.

Solubility is defined as the maximum amount of a substance that will dissolve in a specified amount of solvent at a specified temperature. Solubility is a characteristic property of a particular solute/solvent combination, and different substances have very different solubilities.

Solubility can be expressed in grams of solute in one liter of saturated solution. For example, the solubility in water at 25 oC is 12 g/L. Molar solubility is the number of moles of solute per liter of saturated solution. For example, 0.115 mol/L at 25 oC

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how do proton pumps impact potassium uptake?

Answers

proton pumps boost the cell's positive charge to draw potassium ions there. In order to go via cation channels, protons bond to potassium.

Protein complexes called proton pumps convert water into hydrogen and oxygen. make water by combining oxygen and hydrogen. Cations are drawn to the inside of the cell's negative interior, but anions are repelled by it. In the early spring potassium before leaf development, when perspiration is high and root growth is sluggish, root pressure is more common. proton pumps at the evaporation rate is so low during these hours, it is only possible to see the impacts potassium of root pressure at night and in the early morning.

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when the sample from container a dissolved, the temperature of the solution decreased by 0.02°c. when the sample from container b dissolved, the temperature increased by 0.58°c. which chemical was in each container?

Answers

It is important to note that without additional information about the specific chemicals in containers A and B, we cannot determine their identities with certainty.


1. When the sample from container A dissolved, the temperature of the solution decreased by 0.02°C. This indicates an endothermic reaction, where heat is absorbed from the surroundings.
2. When the sample from container B dissolved, the temperature increased by 0.58°C. This indicates an exothermic reaction, where heat is released to the surroundings.

Based on these observations, we can conclude that the chemical in container A is likely an endothermic substance that absorbs heat from its surroundings when it dissolves. Conversely, the chemical in container B is likely an exothermic substance that releases heat to its surroundings when it dissolves.

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identify if each of the following solutions is acidic, basic, or neutral. drag the appropriate items to their respective bins.- tub and tile scrub, pH = 11.6 - blood, pH = 7.38- Vinegar, pH = 2.8 - maple syrup, pH = 4.7

Answers

Tub and tile scrub, pH = 11.6: basic , Blood, pH = 7.38: slightly basic/neutral

Vinegar, pH = 2.8: acidic

Chemically speaking, the pH scale measures the concentration of hydrogen ions in a solution. A solution with a pH of 7 is considered neutral, while a pH less than 7 is considered acidic, and a pH greater than 7 is considered basic (or alkaline). Based on this scale, the solutions can be identified as follows:

Maple syrup, pH = 4.7: slightly acidic/neutral

Acidic solutions have a pH of less than 7.0. They are characterized by the presence of hydrogen ions (H+) in solution. Examples of acidic solutions include vinegar, which has a pH of 2.8, and lemon juice, which has a pH of 2.3.

Basic solutions have a pH greater than 7.0. They are characterized by the presence of hydroxide ions (OH-) in solution. Examples of basic solutions include household ammonia, which has a pH of 11.0, and baking soda, which has a pH of 8.3.

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Mechanical waves need to travel through a medium like solid, liquid, and gas.
TRUE or False

Answers

Answer:

Mechanical waves are waves that must go through a medium in order to propagate. Mechanical waves can also be transmitted through solids, so the medium doesn't have to be a gas or a liquid.

Explanation:

Hope this helps! Brainliest would be appreciated. :)

The answer is false they don’t need to travel through either

When the wedges are removed, predict which way the carts will move. Justify your prediction.

When the wedges are removed, predict which way the carts will move. Justify your prediction.

Answers

Answer:

I believe the carts will move towards each other, as positive and negative charges attract each other.

Explanation:

It is like a magnet when you put the opposite sides together. (North and South, South and North) or the plus goes to the minus and the minus goes to the plus.

If you take out the far left and right wedges, it may move a little away for a few seconds, but will move back together .

Another hypothesis is that if the sheets are flimsy, the sheets will attract each other, however, the sheets will join together at the top, but the carts will still stay at the same place.

Burning fuels in power plants and motor vehicles emits carbon dioxide (co2) , which contributes to global warming. The co2 emissions (metric tons per capita) for countries varies from 0. 04 in burundi to 43. 86 in qatar. The data set, which contains information on 203 countries, is too large to display, but here are the data for the first 5 countries

Answers

The leading five nations in terms of carbon dioxide emissions (metric tonnes per person) are Afghanistan (0.30), Albania (1.96), Algeria (3.71), Andorra (6.40), and Angola (1.06).

For the first five nations in the data set, the carbon dioxide emissions (measured in metric tonnes per person) are as follows: Afghanistan is rated as 0.30, Albania is 1.90, Algeria is 3.70, Andorra is 5.80, and Angola is 1.20. According to the statistics, there are huge differences between the CO2 emissions that various nations produce per person, with some producing very little and others producing a lot. This diversity can be linked to a variety of things, such as disparities in economic growth, energy use, and governmental environmental protection measures. In order to combat the consequences of global warming and the problems posed by climate change, it is imperative to reduce CO2 emissions.

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Why are metals so strong and hard ?​

Answers

Answer:

Metals are tough because of an effect called plasticity

Explanation:

if you want to know more go to this site

https://en.wikibooks.org/wiki/A-level_Physics_(Advancing_Physics)/Metals#:~:text=Metals%20are%20tough%20for%20the,This%20effect%20is%20called%20plasticity.

Answer:

The strength of metal depends upon the status of its molecular bonding in the lattice. Stronger the forces stronger will be the metal.

A compound containing selenium and fluorine is decomposed in the laboratory and produces 2.231 g of selenium and 3.221 g of fluorine. Calculate the empirical formula of the compound.

Answers

Answer: The empirical formula is SeF6

Explanation:

1.) Use molar mass to convert grams of each element into moles:

(2.231g Se)*(1 mol se/78.96 g se) = 0.02825 mols Se

(3.221g F)*( 1 mol F/ 19.00g F) = 0.1695 mols F

2.) Divide by the lowest amount of moles to find the subscripts of each element:

0.02825/0.02825= 1

0.1695/0.02825= 6

Therefore the empirical formula is SeF6.

what two major economic or global problems could be alleviated if we based our energy on hydrogen

Answers

The hydrogen can be produced from water using renewable energy sources, which makes it more sustainable.

If we based our energy on hydrogen, two major economic or global problems that could be alleviated are:

1. Climate change: This is a global issue that requires an immediate response. The world needs to move away from carbon-emitting fossil fuels. Burning hydrogen fuel emits only water and does not release greenhouse gases. If the world shifts to hydrogen fuel, it will reduce carbon emissions and help to slow down climate change.

2. Dependence on Oil: Most countries are dependent on oil. The price of oil is volatile, and the demand and supply fluctuate due to political, economic, and weather events. This dependence on oil is a major economic challenge for many countries. If we based our energy on hydrogen, we could reduce our dependence on oil and decrease oil imports, which could significantly improve the economy of countries that do not produce oil.

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why buff must contain a weak acid weak base and its conjugate acid

Answers

Buff contains a weak acid weak base and its conjugate acid because they do not undergo any reaction that significantly alters their concentration.

Buff solution:

Buffers are solutions that maintain a relatively constant pH when an acid or a base is added. Weak acids or conjugate bases can react with strong acids or bases to prevent sharp, sudden changes in pH.

A buffer solution contains a weak acid weak base and its conjugate acid because they do not undergo any reaction that significantly alters their concentration. Such a solution has the capability to withstand the pH change upon the addition of strong acids or bases.

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PLEASE ANSWER ALL I WILL GIVE BRAINLIEST PLEASE!!

PLEASE ANSWER ALL I WILL GIVE BRAINLIEST PLEASE!!

Answers

Which ones do you need help on?

Question 6

6.7 pts

A solution has a very high electrical conductivity, turns litmus paper red and has a pH of 2.0. This is most likely

a(n)

Base/Strong Electrolyte

Acid/Weak Electrolyte

Acid/Strong Electrolyte

Base/Weak Electrolyte

Next

« Previous

Answers

Answer:

Acid/String Electrolyte

Explanation:

Litmus paper turning red means it is an acidic solution. A pH of more than 7 is Base while pH of less than 7 is an acid. Since the pH is 2, less than 7, it s is an acid. Since it has a high electrical conductivity, it must be a strong Electrolyte.

Based on the replacement reaction, what would the products of the reaction be?

BeSO4 + 2NH4OH → Be(
)2 + (NH4)2SO4

Answers

BeSO₄ + 2NH₄OH → Be( OH)₂ + (NH₄)₂SO₄

Further explanation

Given

Reaction

BeSO₄ + 2NH₄OH → Be( ...)₂ + (NH₄)₂SO₄

Required

The products

Solution

There are two possible displacement reactions

Single replacement if one element replaces or reduces another element in the compound and forms a new compound

A + BC ⇒ AC + B

Double replacement if both the cations and anions of the two compounds in the reactant swap positions to form 2 new compounds in the product

AB + CD ⇒ AD + CB

Thus, the product is Be(OH)₂

Answer:

OH

Explanation:

Based on the replacement reaction, what would the products of the reaction be?BeSO4 + 2NH4OH Be()2 +

Calculate the [H+], pOH, and [OH-] for the following solutions: SHOW WORK And put Answers for concentration[ ] in scientific notation. ( see video for help)
pH 2.90 (the approximate pH of lemon juice



pH 3.86 (the approximate pH of sauerkraut)


pH 10.81 (the approximate pH of milk of magnesia)



pH 4.11 (the approximate pH of orange juice)



pH 11.61 (the approximate pH of household ammonia)



The pH of human blood ranges from 7.35 to 7.45 with it usually being around 7.40. If the blood pH gets below 7.35 a person goes into acidosis. If the pH gets above 7.45 a person goes into alkalosis. Both acidosis and alkalosis can be fatal. How much more acidic is a person’s blood if it has a pH of 7.3 compared to its preferred 7.4? How much more alkaline is a person’s blood if it has a pH of 7.6 rather than its preferred 7.4?

Answers

Answer:

Explanation:

pH = -log{H+]

{H+} = 10^(-pH)

pOH = 14 - pH

{OH-} = 10^(-pOH)

pH 2.90 (the approximate pH of lemon juice

{H+} = 10^(-2.9)

pOH = 14 - 2.9 = 11.1

{OH-} = 10^(-pOH) = 10^(-11.1)

 

pH 3.86 (the approximate pH of sauerkraut)

{H+} = 10^(-3.86)

pOH = 14 - 3.86 = 10.14

{OH-} = 10^(-pOH)  = 10^(-10.14)

pH 10.81 (the approximate pH of milk of magnesia)

{H+} = 10^(-10.81)

pOH = 14 - 10.81 = 3.19

{OH-} = 10^(-pOH) = 10^(-3.19)

pH 4.11 (the approximate pH of orange juice)

{H+} = 10^(-4.11)

pOH = 14 - 4.11 = 9.89

{OH-} = 10^(-pOH) = 10^(-9.89)

 

pH 11.61 (the approximate pH of household ammonia)

{H+} = 10^(-11.61)

pOH = 14 - 11.61 = 2.39

{OH-} = 10^(-pOH)  = 10^(-2.39)

For a particular redox reaction ClO-2 is oxidized to ClO4- and Cu2+ is reducted to Cu+. Complete and balance the equation for this reaction in a basic solution. Phases are optional.ClO2- + Cu2+ ---> ClO4- + Cu+

Answers

The balanced equation shows that in basic solution, ClO2- is oxidized to ClO4- and Cu2+ is reduced to Cu+.

The balanced redox equation for the reaction in basic solution is:

ClO2- + 4OH- + 3Cu2+ → ClO4- + 3Cu+ + 2H2O

Steps to balance the equation:

Write the unbalanced equation with the oxidation states of each element.

ClO2- → ClO4- (Cl goes from +3 to +7)

Cu2+ → Cu+ (Cu goes from +2 to +1)

Separate the equation into two half-reactions, one for oxidation and one for reduction.

Oxidation half-reaction: ClO2- → ClO4-

Reduction half-reaction: Cu2+ → Cu+

Balance the atoms that are not hydrogen or oxygen in each half-reaction.

Oxidation half-reaction: ClO2- → ClO4- (balance Cl and O)

ClO2- → ClO4- (add 2H2O and 5e- to the right side)

Reduction half-reaction: Cu2+ → Cu+ (balance Cu)

Cu2+ → Cu+ (add 1e- to the left side)

Balance the electrons in each half-reaction.

Oxidation half-reaction: ClO2- → ClO4- + 5e-

Reduction half-reaction: Cu2+ + 1e- → Cu+

Make the number of electrons equal in both half-reactions by multiplying the oxidation half-reaction by 1 and the reduction half-reaction by 5.

Oxidation half-reaction: 5ClO2- + 10OH- → 5ClO4- + 5H2O + 25e-

Reduction half-reaction: 5Cu2+ + 5e- → 5Cu+

Add the half-reactions together and simplify.

5ClO2- + 10OH- + 5Cu2+ + 5e- → 5ClO4- + 5Cu+ + 5H2O

Cancel out the 5e- on both sides.

ClO2- + 4OH- + 3Cu2+ → ClO4- + 3Cu+ + 2H2O

The balanced equation shows that in basic solution, ClO2- is oxidized to ClO4- and Cu2+ is reduced to Cu+.

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Those who practice a pseudoscience (e.g. astrology, biorhythms, etc.) are those who... do not claim to be scientific and do not follow the rules of science none of these. claim to be scientific, yet do not follow all the rules of science attempt to follow the rules of science, but make mistakes in the process

Answers

Answer:

claim to be scientific, yet do not follow all the rules of science

Explanation:

Pseudoscience as the name implies "pseudo=false" means false science. It is a practice which poses itself as being scientific but does not conform to scientific principles or methods. In other words, they claim to be scientific but in the actual sense, they are not because they do not follow the rules guiding scientific knowledge.

Examples of pseudoscience as stated in the question are astrology, biorhythms. These ideas or studies are not subject to principles that qualifies them to be scientific.

17. Given: CuSO
KlCul_K50)
Answer the following:
a. Determine the limiting reactant when 6.76 grams of copper(II) sulfate is reacted with 9.82
grams of potassium iodide?
b. Using the information from (a), what would be the mass of all three products?
C.
If 0.331 grams of iodine is produced, how many molecules of KI were reacted?

Answers

I think its c. I'm not 100% tho

This water bottle has a mass of 0.5 kg.
CU
If the net force acting on the bottle is 5 N to the right, what is the bottle's
acceleration?
(Hint: Use the formula a = =)
A. a = 10 m/s2 left
B. a = 50 m/s2 right
c. a = 10 m/s2 right
D. a = 2 m/s2 left
PLEASE ANSWER I WILL GIVE BRAINLYEST

This water bottle has a mass of 0.5 kg.CUIf the net force acting on the bottle is 5 N to the right, what

Answers

Answer: the answer is a=10m/s^2 right

Explanation: it just make more since then the other answers .

Answer:

c 10

Explanation:

ape.x verified

The diagram below represents reaction of reactant A and reactant B combining to form product C.
Reactant A illustrates an example of which of the following?
Molecules of an element
0
Atoms of an element
Molecules of a compound
O A mixture

Answers

Answer:B

Explanation:

The reactant A in the diagram represents atoms of an element. These atoms combines together to form molecules and different atoms combines to form compounds.

What are compounds?

Compounds are chemical substances formed from the combination of different atoms. Atoms are the basic units of every substances. Atoms are composed by subatomic particles electrons, protons and neutrons.

Atoms which are deficient in electrons or possess extra electrons undergo chemical bonding with other atoms and the bonds are formed through electrons lose or gain or electron sharing. Same kind of atoms combines to form molecules.  H₂, O₂, N₂ are molecules, whereas CO₂ H₂O etc. are compounds.

The diagram A shows the atoms of an element. B is molecules of the atoms in A whereas C is compounds of atoms in A and atoms of a different element. Hence option b is correct.

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your question was incomplete. But your complete question probably was as in the uploaded image.

The diagram below represents reaction of reactant A and reactant B combining to form product C.Reactant

Why did the volume of Substance 1 change from 3 liters of liquid to just over 0.50 liters after it was boiled and then cooled?
States of mater  interactivity 

Answers

Matter are anything that is made up of atoms. The quantity of matter can be observed only on the basis of mass and volume calculation. Therefore, because of the evaporation of upper surface of liquid, volume decreases.

What is matter?

Matter is a substance that has some mass and can occupy some volume. The matter is mainly used in science. Matter can be solid, liquid or gas.

Matter is anything that is made up of atoms. Anything around us that can be physically seen and touched are matter. Ice, water and water vapors are example of matter.

The volume of Substance 1 change from 3 liters of liquid to just over 0.50 liters after it was boiled and then cooled because on heating the molecules on the upper surface of liquid evaporates.

Therefore, because of the evaporation of upper surface of liquid, volume decreases.

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Monkespox is a rare disease caused by infection with the motkeypax virus. A group of 44 people where 5 of them are infected with Morikeypox Virus and the rest are healihy. Two persons will be randomly selected in succession to do the Monkeypox test. What is the probablity that the second will be tested positive aiven that the first one tested positive? Round your answer to 4 decimal places. QUESTION IB Mankeypox is a rare disease caused by infection with the monkeypox vinus. A group of 42 people where 5 of them are inflected with monkeypox virus and the rest are healthy. Two persons will be randomly selocted in succession to do a monkeypox test. What is the probability that both are testod negative? Round your answer to 4 decimal places.

Answers

The probability that both are tested negative is 0.8728 (rounded to 4 decimal places).

Probability is the study of how likely an event is to happen. It is given by the ratio of the number of favorable outcomes to the number of total outcomes. In the given problem, there is a group of 44 people, out of which 5 are infected with Monkeypox virus, and the remaining are healthy. Two persons are randomly selected in succession to do the Monkeypox test, and we are required to find the probability that the second one will test positive given that the first one tested positive. The probability of the first person testing positive is given by:P(A) = number of infected people / total number of people = 5/44The probability of the second person testing positive given that the first person tested positive is given by:P(B|A) = probability of both A and B occurring / probability of A occurringP(B|A) = (4/43) / (5/44)P(B|A) = (4/43) x (44/5)P(B|A) = 0.3235 (rounded to 4 decimal places)Therefore, the probability that the second person will test positive given that the first person tested positive is 0.3235 (rounded to 4 decimal places).Now let's calculate the probability that both are tested negative. The probability of the first person testing negative is given by:P(A') = number of healthy people / total number of people = 39/44The probability of the second person testing negative given that the first person tested negative is given by:P(B|A') = probability of both A' and B occurring / probability of A' occurringP(B|A') = (38/43) / (39/44)P(B|A') = (38/43) x (44/39)P(B|A') = 0.8728 (rounded to 4 decimal places)Therefore, the probability that both are tested negative is 0.8728 (rounded to 4 decimal places).

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