what are the number of molecules in 2.56 moles of water?

Answers

Answer 1

Answer:

1.54x10^24

Explanation:

To convert moles to molecules, multiply the number of moles by Avagadro's number (6.02x10^23).

2.56mol × 6.02x10^23 = 1.54x10^24

Answer 2

To find the number of molecules in 2.56 moles of water, we multiply the number of moles (2.56) by Avogadro's number (6.022 x 10²³), resulting in 1.54 x 10²⁴ molecules of water.

The question asks, what are the number of molecules in 2.56 moles of water? To answer this, we need to understand Avogadro's number, which is a fundamental concept in chemistry representing the number of units in one mole of any substance. Specifically, Avogadro's number is 6.022 x 10²³. Therefore, to find the number of molecules in 2.56 moles of water, we multiply the number of moles by Avogadro's number:

Number of molecules = 2.56 moles x 6.022 x 10²³ molecules/mole

This calculation gives us: 1.54 x 10²⁴ molecules of water in 2.56 moles.


Related Questions

According to the graph, which of the following substances is least soluble in 100 grams of water at 50°C?
1. KCI
2. Nacl
3. NHACI
4. HCI

Answers

Answer:2) NaCl

Explanation:

Final answer:

The least soluble substance at 50°C would be the one with the lowest point on a typical solubility graph at this temperature. However, a specific answer cannot be provided without the graph.

Explanation:

Without the graph, it's not possible to provide a definitive answer. In general, solubility depends on the specific substance and temperature. However, assuming a typical solubility graph, you would find the least soluble substance at 50°C by looking for the compound which has the lowest point on the graph at this temperature. This is because solubility graphs usually show the amount of a substance that can be dissolved in 100 grams of water at various temperatures.

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What would happen to Earth’s tides if the distance between Earth and the Moon increased?

Answers

Tides would be much weaker. Tidal forces from the moon would be eight times weaker.

Answer:

The tides wouldn't go sicko mode

Explanation:

The tides would be weaker, hence no sicko mode

What volume of solution gives the desired moles?
0.53mol from a 7.25M solution
0.035mol from a 1.25M solution
0.0013mol from a 0.090M solution

Answers

Answer:

1. 0.073L

2. 0.028L

3. 0.014L

Explanation:

The volume for the different solutions are obtained as shown below:

1. Mole = 0.53mol

Molarity = 7.25M

Volume =?

Molarity = mole /Volume

Volume = mole /Molarity

Volume = 0.53/7.25

Volume = 0.073L

2. 0.035mol from a 1.25M

Mole = 0. 035mol

Molarity = 1.25M

Volume =?

Molarity = mole /Volume

Volume = mole /Molarity

Volume = 0.035/1.25

Volume = 0.028L

3. Mole = 0.0013mol

Molarity = 0.090M

Volume =?

Molarity = mole /Volume

Volume = mole /Molarity

Volume = 0.0013/0.090

Volume = 0.014L

Given the following equation: Zn + 2HCI - H2 + ZnCl2
How many moles of HCl are needed to react with 0.50
moles of Zn?

Answers

Answer:

To react with 0.5 moles of Zn 1 mole of HCl is required

Explanation:

Given data:

Number of moles of Zn = 0.50 mol

Number of moles of HCl = ?

Chemical equation:

Zn + 2HCl  → H₂ + ZnCl₂

Now we will compare the moles of Zn and HCl through balance chemical equation.

                       Zn         :        HCl

                         1          :            2

                       0.50      :         2×0.5 = 1 mol

In order to react with 0.5 moles of zinc 1 mole of HCl is required.

Final answer:

To react with 0.50 moles of Zn, following a 1:2 molar ratio based on the provided equation, 1.0 mole of HCl is required.

Explanation:

The question you've asked is about how many moles of hydrochloric acid (HCl) are needed to react with 0.50 moles of zinc (Zn), based on the chemical equation: Zn + 2HCl → H2 + ZnCl2. From this equation, it's clear that zinc reacts with hydrochloric acid in a 1:2 molar ratio, meaning that for each mole of zinc, two moles of HCl are required for the reaction to proceed to completion.

Therefore, to react with 0.50 moles of Zn, you need 2 * 0.50 = 1.0 mole of HCl.

How do the mass and height of an object affect the gravitational potential
energy?​

Answers

Explanation:

The bigger the mass and the higher the height of the object above earth’s surface, the bigger the potential energy. The potential energy can be evaluated using the formula below;

P.E. = m*g*h, where

m = mass in kilograms,

g = the acceleration due to gravity (9.8 m / s² at the surface of the earth), and

h = height in meters.

From the formula, it is clear that increasing mass, gravity or/and height will give an increased potential energy

Convert 7.50 grams of glucose C6H12O6 to moles

Answers

Answer:

0.04167mole

Explanation:

To convert gram to mole,

C6H12O6

C - 12

H - 1

O - 6

There are 6 moles of C, 12 mole of H and 6 mole of O

Therefore, multiply each number of mole by the mass of each element

C - 12 * 6 = 72

H - 1 * 12 = 12

O - 16 * 6 = 96

The molar mass of C6H12O6 = 72 + 12 + 96

= 180g/mol

Dividing the number of mass by the mm

= 7.50g / 180g/mol

= 0.04167 mole

Calculate the percent by volume of a solution that has 75 mL of solute dissolved in 375 mL of solution. Show your work and round your answer to the nearest whole percent.

Answers

Answer:

The answer is 20 % V/V

Explanation:

We use this formula for calculate the %V/V:

%V/V= (ml solute/ml solution) x 100= (75ml/375 ml)x 100 = 20 % V/V

The% V / V represents the amount of ml of solute dissolved in 100 ml of solution

wood with a mass of 3.0 grams was burned in an open dish. The ashes weighed 1.2 grams.
What happened to the rest of the wood? B
A

Answers

The rest of the wood was burned into gases of equivalent weight.

Explanation:

The rest of the wood was burned into gases of equivalent weight.

When wood is burnt in the open air, with the help of oxygen and heat, it is transformed into carbon dioxide, water vapor, and ashes. Ignition and combustion of wood mainly depend on pyrolysis which is also known as thermal combustion.The loss in weight of the ashes is due to the fact that gases and water vapor are also formed due to the combustion of wood.

4 Sodium metal, Na, reacts with water to form a solution of
sodium hydroxide, NaOH, and gives off hydrogen gas, H.
Write a balanced symbol equation, including state symbols,
for this reaction.

Answers

Answer:

2Na(s) + 2H2O(l) ---> 2NaOH(aq) + H2(g)

Explanation:

In the reaction above, solid pieces of sodium metal, Na, is dissolved in liquid water to form a solution of its alkali

(sodium hydroxide, NaOH) and gives off hydrogen gas, H.

The reaction occurs vigorously giving off hydrogen gas due to the highly reactive nature of alkali metals like sodium with water.

C. Balance the following equations.
1 H2O2(1)→ H,00) + O2(8)

Answers

Hey there!

H₂O₂ → H₂ + O₂

This equation is already balanced.

We count 2 hydrogen atoms on the left, and 2 hydrogen atoms on the right.

We count 2 oxygen atoms on the left, and 2 oxygen atoms on the right.

This means the equation is balanced.

Hope this helps!

Gina was given an irregularly shaped piece of metal and was told that the density of the metal was 10 g/cm3. She measured the mass of the piece to be 210 g. What was the volume of the piece of metal Gina was given?

Answers

Answer:

The volume of the piece of the metal Gina is found to be 21 [tex]cm^{3}[/tex]

Explanation:

Given density of the metal = 10 g/[tex]cm^{3}[/tex]

Given mass of the piece of the metal = 210 g

Assuming volume of piece of metal to be V [tex]cm^{3}[/tex]

The expression for the density is shown below

[tex]\textrm{Density} = \displaystyle \frac{\textrm{Mass of piece of metal}}{\textrm{Volume of piece of metal}}\\10 \textrm{ g/cm}^{3} = \displaystyle \frac{210 \textrm{ g}}{V} \\V = 21 \textrm{cm}^{3}[/tex]

Volume of the piece of metal = 21 [tex]cm^{3}[/tex]

Ethyl alcohol is prepared industrially by the reaction of ethylene, C2H4, with water. What is the percent yield of the reaction if 4.6 g of ethylene gives 4.7 g of ethyl alcohol?
C2H4(g) + H2O(l) = C2H6O(l)

Answers

Answer:

% yield = 62.21 %

Explanation:

C2H4(g) + H2O(l) → C2H6O(l)

∴ mass C2H4(g) = 4.6 g

∴ mass C2H6O(l) = 4.7 g

% yield = ((real yield)/(theoretical yield))×100

theretical yield:

∴ molar mass C2H4(g) = 28.05 g/mol

⇒ mol C2H4(g) = (4.6 g)*(mol/28.05 g) = 0.164 mol

⇒ mol C2H6O(l) = (0.164 mol C2H4)*(mol C2H6O(l)/molC2H4(g))

⇒ mol C2H6O(l) = 0.164 mol

∴ molar mass C2H6O(l) = 46.07 g/mol

⇒ mass C2H6O(l) = (0.164 mol)*(46.07 g/mol) = 7.55 g

⇒ theoretical yield = 7.55 g

⇒ % yield = (4.7 g)/(7.55 g))*100

⇒ % yield = 62.21 %

Final answer:

The percent yield of the reaction is 62.7%.

Explanation:

The percent yield of a chemical reaction is the ratio of the actual yield to the theoretical yield, multiplied by 100. To calculate the percent yield, you need to determine the theoretical yield and the actual yield. The theoretical yield is the maximum amount of product that can be obtained based on stoichiometry, while the actual yield is the amount of product obtained in the reaction. In this case, you are given that 4.6 g of ethylene produces 4.7 g of ethyl alcohol. To find the percent yield, divide the actual yield by the theoretical yield and multiply by 100.

First, determine the moles of ethylene and ethyl alcohol. The molar mass of ethylene (C2H4) is 28 g/mol, and the molar mass of ethyl alcohol (C2H6O) is 46 g/mol.

Moles of ethylene = mass / molar mass = 4.6 g / 28 g/mol = 0.164 mol

Moles of ethyl alcohol = mass / molar mass = 4.7 g / 46 g/mol = 0.102 mol

The molar ratio between ethylene and ethyl alcohol is 1:1, meaning that 1 mol of ethylene produces 1 mol of ethyl alcohol.

Since the moles of ethylene and ethyl alcohol are equal, the theoretical yield of ethyl alcohol is 0.164 mol. Convert this to grams using the molar mass: theoretical yield = 0.164 mol * 46 g/mol = 7.5 g.

Finally, calculate the percent yield:

Percent yield = (actual yield / theoretical yield) * 100

Percent yield = (4.7 g / 7.5 g) * 100 = 62.7%

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How the relative density of a substance is related to the density calculate the density of iron if its relative density is 2 and a density of water is 2gcm -3

Answers

Answer:

How the relative density of a substance is related to the density calculate the density of iron if its relative density is 2 and a density of water is 2gcm -3

R.d= relative density of substance/ relative density of water

R.d= 2/2

R.d= 1gcm-3

Explanation:

Density of water=1000 kg/m^3. Relative density= density of substance/density of water. Relative density=7800/1000=7.8 · The radius of a solid sphere is 2 cm.

The relative density can be calculated directly by measuring the density of the sample and dividing by the (known) density of the reference substance. The density of a sample divided by its volume is the relative density of the sample, also known as specific gravity. The relative density of a substance is a pure number that has no units. It tells how many times a substance weighs more than water. The relative density (R.D) of a substance is calculated by dividing the density of a substance by the density of water. The relative density of a substance is the ratio of the density of the substance to that of water. And since it is the ratio of density to density. Hence, it is singular

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If heat flows out of a system, the heat change (AH) will be
, and the reaction will be

Answers

Answer: Heat change will be negative and reaction is exothermic.

Explanation:

In any system that involves heat flowing out of the system, (that is heat loss), the heat change will be negative and the reaction will be exothermic.

(Number three) how do you solve this problem?

Answers

Answer:

Mg = 3

P = 2

O = 8

Explanation:

Mg3(PO4)2

Multiplying through by the number outside the bracket, we obtained

Mg3P2O8. From this, we can easily find the number of atoms of each element present as illustrated below:

Mg = 3

P = 2

O = 8

Lists ways that a bike’s motion can change

Answers

Answer: Check explanation

Explanation:

Then bike can't get hit.  They can turn the wheel. They can hit the brake

the reaction AB2C (g) <---> B2 (g) + AC (g) reached equilibrium at 900 K in a 5.00 L vessel. At equilibrium 0.0840 mol of AB2C, 0.0350 mol of B2, and 0.0590 mol of AC were detected. What is the equilibrium constant at this temperature for this system?

Answers

Answer:

k = 4,92x10⁻³

Explanation:

For the reaction:

AB₂C (g) ⇄ B₂(g) + AC(g)

The equilibrium constant, k is defined as:

[tex]k = \frac{[B_{2}][AC]}{[AB_2C]}[/tex] (1)

Molar concentration of the species are:

[AB₂C]: 0,0840mol / 5L = 0,0168M

[B₂]: 0,0350mol / 5L = 0,0070M

[AC]: 0,0590mol / 5L = 0,0118M

Replacing this values in (1):

[tex]k = \frac{[0,0070][0,0118]}{[0,0168]}[/tex]

k = 4,92x10⁻³

I hope it helps!

Balance this chemical equation please​

Answers

Answer:

CH4 + 2O2  (excess)  →  CO2 + 2H2O + Energy

Explanation:

Combustion of methane gas molecules in abundance of O2 can follow the above reaction, product expected carbon dioxide, water and energy only.

 But, when the O2 is not sufficiently available for perfect methane combustion, then there are many other products from the methane combustion reaction in above the product with CO and C.  

 The molar ratio of [C]: [CO] :[CO2] will depend on the availability of O2 for combustion of methane . In the high deficiency of oxygen conditions:  monoxide and black carbon will be the major products of the combustion of methane.

How many moles are in 135g of Teflon?

Answers

1.34 moles are in 135g of Teflon.

Explanation:

Molecular formula of teflon is (C2H4)n

mass of teflon = 135 grams

atomic mass of teflon = 100.01 gram/mole

number of moles of teflon = ?

Formula used to calculate number of moles in a substance is given as:

number of moles = [tex]\frac{mass}{atomic mass of 1 mole}[/tex]

putting the values in the above equation:

number of moles = [tex]\frac{135}{100.01}[/tex]

number of moles = 1.34 moles

Teflon is polymer which is used for making non-stick coating, in 135 grams of teflon there are 1.34 moles in it.

Final answer:

Using the formula for calculating moles (mass/molar mass), we find that there are roughly 0.27 moles in 135g of Teflon.

Explanation:

To calculate the number of moles in a given mass of a substance, we use the formula:
Number of moles = Mass (in grams) / Molar Mass (in g/mol).
Teflon is also known as polytetrafluoroethylene (PTFE), and its molar mass is roughly 500 g/mol. So, to find the number of moles in 135g of Teflon, we divide:
Number of moles = 135 g / 500 g/mol = 0.27 moles.
Therefore, there are around 0.27 moles of Teflon in a 135g sample.

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Do you think precipitation has a greater impact on the rate of chemical weathering or mechanical weathering ?

Answers

Answer:

Chemical weathering.

Explanation:

Chemical weathering has more to do with weathering things with acid, water, and air. Mechanical weathering happens without water most of the time. Yes they both have water weathering but Chemical weathering has a higher rate of impact.

Final answer:

Precipitation greatly impacts both mechanical and chemical weathering, but due to its role in driving chemical reactions, it is generally more impactful on the rate of chemical weathering. Other factors, including climate, temperature, and biological activity, also influence precipitation's effects on weathering.

Explanation:

Precipitation can have a great impact on both mechanical and chemical weathering, but the extent of its impact depends on other factors such as temperature and wind. For example, in the context of climate, temperature, moisture, and wind shape different patterns of weathering. Mechanical weathering can be accelerated by moisture as it causes expansion and contraction in rocks, while chemical weathering often occurs when moisture combines with substances in the atmosphere to produce acids that can break down rock over time.

The role of precipitation is also evidenced in chemistry. The process of selective precipitation is used to remove contaminants from wastewater before it's released back into natural water bodies. Further, precipitation reactions in nature can lead to the formation of solid products through a process called metathesis reactions. So, while precipitation indirectly contributes to mechanical weathering, its role in driving chemical reactions that can lead to chemical weathering is more direct and thus it generally has a greater impact on the rate of chemical weathering.

The impact of precipitation can also be seen in biology. Changing conditions such as temperature and precipitation affect the geographic distribution and phenology of plants and animals. For example, moisture levels affect the biological activity in soil, promoting the development of microorganisms and the decomposition of plant materials, which can contribute to soil weathering.

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What is sublimation?

Answers

Answer:

Solid -> Gas

Explanation:

Sublimation is when a solid directly transitions to a gas, skipping the liquid form.

Explanation:

sublimation is a changing of a solid directly into vapour on heating and of vapour into solid on cooling .

hope it helps

What is the balancing equation of Sn + NaOH Na2SnO2 + H2

Answers

Answer:

Chemical Equation Balancer Sn + NaOH = Na2SnO2 + H2.

Explanation:

Answer:

Chemical Equation Balancer Sn + NaOH = Na2SnO2 + H2.

Explanation:

got it right on a test/assignment i had :)

Choose the words that make each statement true.
A6.0 M solution contains 6.0
of solute
dissolved in one of solution. The Min
6.0 M refers to
. The
concentration of a 6.0 M solution may also be
expressed as

Answers

Answer:

moles, liter, concentration, and 6.0 mol/L

Explanation:

Answer:

First Question:

Moles, liter, concentration, 6.0 mol/L

Second Question:

C. [HCl]

Third Question:

C. molarity.

Fourth Question:

A. M = mol solute/liter solution

Explanation:

Got it right


A box rests on the floor. If you pull sideways on the box with a 300 N force,
but can't move it, what is the net force on the box?
Ο Α) 0 N
O B) less than 300 N
OC) more than 300 N

Answers

Answer:

more than 300 N

Explanation:

you have to have more than 300 N of force to move an object that already requires 300 so 301 N would push it but very slowly

1. A 1.0-gram sample of powdered Zn reacts faster with HCl than a single 1.0-gram piece of Zn because
the surface atoms in powdered Zn have
(1) higher average kinetic energy
(2) lower average kinetic energy
(3) more contact with the H+ ions in the acid
(4) less contact with the H+ ions in the acid

Answers

A 1.0-gram sample of powdered Zn reacts faster with HCl than a single 1.0-gram piece of Zn because the surface atoms in powdered Zn have more contact with the H⁺ ions in the acid.

Hence, Option (C) is correct answer.

What is Zinc ?

Zinc is a chemical element. The atomic number of Zinc is 30. Zinc belongs to period 4 and group 12 in the periodic table. Zinc is a transition metal.

What is HCl ?

HCl is Hydrochloric acid. It is a nonflammable gas. Hydrochloric acid is also called muriatic acid. It is a strong corrosive acid. HCl is also known as hydrogen chloride.

Thus from the above conclusion we can say that A 1.0-gram sample of powdered Zn reacts faster with HCl than a single 1.0-gram piece of Zn because the surface atoms in powdered Zn have more contact with the H⁺ ions in the acid.

Hence, Option (C) is correct answer.

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Final answer:

Powdered Zn reacts faster with HCl compared to a single piece because it has more contact with the H+ ions, allowing for more collisions and faster reaction rates due to increased surface area.

Explanation:

A 1.0-gram sample of powdered Zn reacts faster with HCl than a single 1.0-gram piece of Zn because the surface atoms in powdered Zn have more contact with the H+ ions in the acid. This increased contact area allows for more collisions and interactions between the Zn atoms and HCl, which results in a faster reaction rate. In a powdered form, zinc has a greater surface area exposed to the acid, leading to an increase in reaction rate compared to a single piece of zinc, which has a limited surface area exposed.

When zinc reacts with hydrochloric acid, a single displacement reaction occurs, producing hydrogen gas and an aqueous solution of zinc chloride. The balanced equation for the reaction is Zn(s) + 2 HCl(aq) → H2(g) + ZnCl2(aq). In this reaction, zinc transfers electrons to hydrogen atoms (protons), resulting in the formation of hydrogen gas. Increased surface area from the powdered form increases the number of these electron transfer events, thus increasing the reaction's rate.

A flask containing 155cm^3 of hydrogen was collected under a pressure of 22.5kPa. What pressure would have been required in order for the volume of the gas to have been 90.0 cm^3 at constant temperature ?

Answers

Answer:

38.75KPa

Explanation:

The following were obtained from the question:

V1 = 155cm^3

P1 = 22.5kPa

V2 = 90cm^3

P2 =?

The new pressure can obtain by doing the following:

P1V1 = P2V2

22.5 x 155 = P2 x 90

Divide both side by 90

P2 = (22.5 x 155) /90

P2 = 38.75KPa

e the letters of the correct answers on the lines at left.
1.
it kinds of mixtures at school. While
lan has been learning about different kinds of mixtures at so
he was helping prepare dinner for his family, he noticed that some o
the food they were making were different kinds of mixtures. What kind
of mixture was their dinner if they were having spaghetti and meatballs
A. heterogeneous
B. homogeneous
C. solute
D. suspension

Answers

Suspension mixture was their dinner if they were having spaghetti and meatballs.  The right option is D.

Explanation:

Properties of suspension mixture are:

Bigger particles are seen in suspension, and they are visible by naked eye.

Suspension is a heterogenous mixture of either two or more substances.

Solute particles are not dissolved in solvent instead they are suspended as it is or in bulk.

Exhibits Tyndall effect.

Solid particles get sedimented easily.

A mixture of spaghetti and meatballs  are suspension because two paricles are not dissoved, and they have separate phases on sphagetti and meat ball where liquid in meat ball drizzles to bottom and meatball remians on top.

Members of a species can mate with each other and produce
gene pools.
O
B
. fertile offspring.
O
C . variations.
o
D. adaptations.

Answers

Fertile offspring mate is a form of reproduction

Answer: fertile offspring

explaination: I turned in my schoolwork and got it ri ght

Which reaction is exothermic?
A.) cellular respiration
B.) photosynthesis
C.) baking soda + vinegar
D.) melting ice

Answers

Answer: D.) melting ice

Explanation:

An exothermic reaction is a chemical reaction that releases energy through light or heat

hope this helps :D

How many moles of NO gas are formed from 2.25 moles of nitrogen?

Answers

Hey there!

A mole is measured in atoms, molecules, particles. It's kind of a loose sort of measurement, just unit of the substance.

Since there is a ratio of 1 to 1 nitrogen to oxygen, there will be the same amount of molecules as atoms of nitrogen.

2.25 moles of NO gas are formed from 2.25 moles of nitrogen.

Hope this helps!

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You need to get some numbers from the user, do some calculations, check if the discriminate is negative, then use the textbook authors squareRoot function to finish up the calculations!program 7.8:// Function to calculate the absolute value of a number#include float absoluteValue(float x){ if (x < 0) x = -x; return (x);}// Function to compute the square root of a numberfloat squareRoot(float x){ const float espsilon = .00001; float guess = 1.0; while (absoluteValue(guess * guess - x) >= espsilon) guess = (x / guess + guess) / 2.0; return guess;}int main(void){ printf("squareRoot (2.0) = %f\n", squareRoot(2.0)); printf("squareRoot (144.0) = %f\n", squareRoot(144.0)); printf("SquareRoot (17.5) = %f\n", squareRoot(17.5)); return 0;} which of the following is labeled in newtons and uses an arrow to show its direction?A. force B. mass C. area Coras company sold equipment to a competitor on June 1, 2020, where they both agreed to an installment sales contract with a rate of 8%. If this contract requires 8 equal payments due annually starting June 1, 2020, then a:_______. The following quote was made by the New York Labor Federation following World War I:"The same patriotism which induced women to enter industry during the war should induce them to vacate their positions."Why were women encouraged to give up their positions in the workforce?1) to account for the decreased need and demand for consumer goods after the war2) to allow for more efficient workers to step into their roles and build the economy3) to provide work opportunities to the male soldiers returning from war4) to return to the domestic realm and care for the wounded soldiers When considering differences in communication styles among friends, researchers have found that _____ are more likely to discuss objects and events while _____ are more likely to discuss emotions. The color #9c9c9c has equal amounts of red green and blue.Tru or false PLEASE HELP NOW!! Will grant brainliest How are water-based solutions formed?A. Solutions are formed when the waters polar molecules separate the nonpolar molecules of the solute.B. Solutions are formed when the waters nonpolar molecules form stronger bonds between the solutes molecules.C. Solutions are formed when the nonpolar molecules of the water cause the solute to dissolve and disperse unevenly.D. Solutions are formed when the waters polar molecules separate the polar molecules of an ionic or molecular compound. Generally, the intellectual performance of children who attend a quality day care program is _________ than that of children from similar family backgrounds who do not attend a day care program or who attend one of poor quality. A study of consumer smoking habits includes 194194 people in the 18-22 age bracket (4848 of whom smoke), 142142 people in the 23-30 age bracket (3333 of whom smoke), and 8989 people in the 31-40 age bracket (2020 of whom smoke). If one person is randomly selected from this sample, find the probability of getting someone who is age 18-22 or does not smoke. Orthogonals definition