an object float or sink when placed on the surface of water science answer​

Answers

Answer 1

im not quite understanding your question but, What you place in water depends on the mass of the object and its boincy. some rocks have so much air in them they can actually float but usally all rocks sink to the bottem. Thinks like plastics, styrofoams and paper can usally float on the surface of the water.


Related Questions

Write the chemical symbols for three different atoms with 24 electrons

Answers

Answer:

Cr

Mn⁺¹

Fe⁺²

Explanation:

____________ A measurement of the amount of space an object occupies.

Answers

Volume is a measurement if the amount of space an object occupies.

What temperature does table salt melt at?

Answers

1,474 degrees fahrenheit (801 degrees celsius)

Salt, also known as sodium chloride, melts roughly around 801 degrees Celsius or 1473.8 Fahrenheit.

I think this is mainly for table salt.

I DONT UNDERSTAND!!!!

Answers

Answer:

[tex]\boxed{\text{311 K}}[/tex]

Explanation:

We can use the Ideal Gas Law and solve for T.

pV = nRT

Data:  

p = 0.998 atm

V = 1.20 L

n = 0.0470 mol

R = 0.082 06 L·atm·K⁻¹mol⁻¹

Calculation:

0.998 × 1.20 = 0.0470 × 0.082 06 × T

1.198 = 0.003 857T

[tex]T = \dfrac{1.198}{0.003 857} = \textbf{311 K}[/tex]

The Kelvin temperature is [tex]\boxed{\textbf{311 K}}[/tex], not 307 K.

I suppose you could choose the last square, as it has the closest value.

How many grams of iron oxide would be formed if 2 moles of iron completely with oxygen gas

Answers

Answer: About 160 grams

Explanation: The formula for this reaction is 4Fe + 3O2 = 2Fe2O3. Since only 2 moles of iron are reacting then only 1 mole of the product will be produced. The molar mass of the product is about 160 grams.

The element sodium (Na) is a soft solid that will react explosively with water. The element chlorine (Cl) is a toxic gas. When these two elements combine, they produce a stable, crystalline solid known commonly as table salt (NaCl). How would you explain this?
Select one:

When substances combine to form new substances, the properties of the reactants are preserved.

When substances combine to form new substances, the properties of the resulting substances will be different than those of the reactants.

Sodium and chlorine become different elements during the reaction.

The properties of each of the two original elements are combined to give salt its properties.

Answers

Answer:

When substances combine to form new substances, the properties of the reactants are preserved.

Explanation:

When the two elements Na and Cl combine, they produce a stable, crystalline solid known commonly as table salt.  This explains as when substances combine to form new substances, the properties of the reactants are preserved. Therefore, option A is correct.

What do you mean by the term element?

Elements are pure substances that cannot be broken down into simpler substances by chemical means. They are made up of atoms, which have a specific number of protons in their nucleus that defines their atomic number.

In a chemical reaction, the atoms that form the first substances are regrouped into other molecules, and these new substances have various properties from those of the reactants. The total number of all types of atoms is kept, and thus the mass does not change.

Thus, option A is correct.

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Which process takes place in both plant and animal cells? Conversion of solar energy Cellular respiration Formation of glucose Photosynthesis

Answers

Answer:

Cellular Respiration

Explanation:

Final answer:

Cellular respiration is the process that occurs in both plant and animal cells, allowing them to convert glucose into ATP, the usable form of energy for cellular functions. While photosynthesis only happens in plants, cellular respiration is essential for both plants and animals, illustrating a fundamental connection between these two types of organisms.

Explanation:

The process that takes place in both plant and animal cells is cellular respiration. This is a series of metabolic pathways that extracts energy from the bonds in glucose, a sugar that's produced during photosynthesis in plants, and converts it into ATP (adenosine triphosphate), which is a form of energy that all living things can use.

Although plants are capable of photosynthesis, the process by which they convert solar energy into chemical energy (glucose), they also perform cellular respiration to break down this glucose into usable energy for cellular activities. Animals, which cannot perform photosynthesis, rely entirely on cellular respiration to convert energy from consumed food into ATP.

It's important to note that photosynthesis only occurs in photosynthetic organisms such as plants, algae, and certain bacteria, while cellular respiration occurs in virtually all living organisms. This highlights the interconnectedness of life processes, as the oxygen created as a byproduct of photosynthesis is used by animals during cellular respiration, and the carbon dioxide produced by animals during cellular respiration is utilized by plants during photosynthesis.

I need to get my grade up fast someone plz help with any of these

Answers

Answer:

1. the outer layer of the eye: G scelra

2. when a light ray bends, or changes direction, when it moves from one material into another: F refraction

3. an optical instrument that makes objects that are far away look closer: K telescope

4. the point where all of the beams of light leaving a lens converge: focal point

5. a term for a medium that transmits nearly all the light rays that hit it: C transparent

6. the distance between any two peaks or any two troughs of a wave: J wavelength

7. a term used to describe a person who cannot see close objects clearly: B

farsighted

8. a term used to describe a person who cannot see faraway objects clearly: M nearsighted

9. a narrow beam of light that travels in a straight line: H light ray

10. a curved, transparent object used to refract light: lens

11. a word used to describe a medium that only allows some of the light rays that hit it to pass through it: E translucent

12. the process of converting light energy into...(can't see the rest)

13. (isn't visible either)

What is the mass of N2 in a 56 liter container at STP?

Answers

Answer:

Explanation:molar mass of N2=28

Volume occpied at stp=22.4 so 28/22.4=1.25 so mass nitrogen will be 56 multiply 1.25 =70g

H2S polar or nonpolar ?

Answers

Answer:

Hydrogen sulfide is nonpolar. Even though the molecular geometry would allow for it to polar, the bonds are not polar, so the molecule isn't either. Polarity is determined by electronegativity.

Answer:

[tex]H_2S[/tex] is a polar substance.

Explanation:

Polar particles form when two molecules don't share electrons similarly in a covalent bond. This happens when there is a distinction between the electronegativity of every molecule. An extraordinary distinction shapes an ionic bond, while a lesser contrast frames a polar covalent bond.  

If the electronegativity between the two ions is somewhere in the range of 0.5 and 2.0, the structure of the particle forms a polar covalent bond. In the event that the electronegativity distinction between the ions is more than 2.0, the bond is ionic. Ionic mixes are amazingly polar particles.  

Instances of polar particles include:  

Water - [tex]H_2O[/tex]  Ammonia  salts - [tex]NH_3[/tex] Sulfur dioxide - [tex]SO_2[/tex]  Hydrogen sulfide - [tex]H_2S[/tex]

how many grams of water can be produced when 8.73 moles of benzene react with excess oxygen?

Answers

Answer:

471 g

Explanation:

Final answer:

When 8.73 moles of benzene react with excess oxygen, approximately 471.42 grams of water will be produced.

Explanation:

In order to find out how many grams of water are produced from the reaction of 8.73 moles of benzene (C6H6) with excess oxygen (O2), we need to know the balanced chemical reaction. The combustion reaction for benzene looks like this:

C6H6 + 7.5O2 -> 6CO2 + 3H2O

From the balanced combustion reaction, it can be seen that for each mole of benzene reacting, 3 moles of water are produced. So, if 8.73 moles of benzene react, it would yield 3 times this many moles of water: 8.73*3 = 26.19 moles of water.

As the molar mass of water (H2O) is approximately 18 g/mole, we can calculate grams of water by multiplying moles of water and molar mass of water.

26.19 moles * 18 g/mole = 471.42 grams of water

So, approx 471.42 grams of water can be produced when 8.73 moles of benzene react with excess oxygen.

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Which of the following is a cause of eutrophication of a lake? ​

Answers

Answer:

C. Excess nutrients promote the growth of algae

Explanation:

The eutrophication can simply be explained as an over-saturation of the waters with nutrients. This usually happens because of the human activity, with the largest sources that contribute to this being the fecal matter from the farmed animals and the fertilizers used in the agriculture. They are either released into the water directly or manage to reach it on their own by natural means. Once they reach the water they increase the amount of nutrients a lot, and that prompts the growth of the algae. As the algae grow more and more and occupy more and more area, they block the sunlight, so the organisms that use photosynthesis die out. Also, the algae contribute to eliminating the oxygen of the waters, so the fish and the other organisms die out as well, leading to a total collapse of the ecosystem.

A gas has a volume of 450.0 mL. If the temperature is held constant, what volume would the gas occupy if the pressure were
a. doubled?
b. reduced to one-fourth of its original value?

Answers

a) Answer:

= 225 mL

Explanation:

Using Boyle's law of gases;

The volume of a fixed mass of a gas is inversely proportional to its pressure at constant temperature.

Therefore;

P1V1 = P2V2

in this case; let the initial pressure be P;

Therefore; V1 = 450 mL, P1 = P, V2 = ? and P2 = 2P

Thus;

V2 = P1V1/P2

     = (P×450)/ (2P)

     = 225 mL

Therefore, the new volume will be 225 mL

b) Answer;

=1800 mL

Explanation;

Let the initial pressure be P;

Therefore; V1 = 450 mL, P1 = P, V2 = ? and P2 = 1/4P

Thus;

V2 = P1V1/P2

     = (P×450)/(0.25P)

      = 1800 mL

Thus, when the pressure is reduced to one-fourth of its original, the new volume will be 1800 mL.

Given that the initial volume of the gas is 450 mL, the new volume of the gas obtained based on the given data are:

A. The new volume of the gas when the pressure is doubled is 225 mL

B. The new volume of the gas when the pressure is reduced to one-fourth of its original value is 1800 mL

A. How to determine the new volume Initial volume (V₁) = 450 mL Temperature = constant Initial pressure (P₁) = PNew pressure (P₂) = 2PNew volume (V₂) =?

P₁V₁ / T₁ = P₂V₂ / T₂

Since the temperature is constant, we have:

P₁V₁ = P₂V₂

P × 450 = 2P × V₂

Divide both side by 2P

V₂ = (P × 450) / 2P

V₂ = 450 / 2

V₂ = 225 mL

B. How to determine the new volume Initial volume (V₁) = 450 mL Temperature = constant Initial pressure (P₁) = PNew pressure (P₂) = ¼PNew volume (V₂) =?

P₁V₁ / T₁ = P₂V₂ / T₂

Since the temperature is constant, we have:

P₁V₁ = P₂V₂

P × 450 = ¼P × V₂

450P = PV₂ / 4

Cross multiply

450P × 4 = PV₂

Divide both side by P

V₂ = (450P × 4) / P

V₂ = 450 × 4

V₂ = 1800 mL

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Which statement is supported by the cell theory
HURRRYYYYY

Answers

All living beings are made up of cells. or Cell is the most basic unit of life. or All cells must come from pre-existing cells.

I hoped I helped a little

what best describes charles law

Answers

A) If volume increases, temperature increases

The law is V/T, meaning the two values are directly proportional, as one increases, the other increases too.

The statement which best describes Charles law is: A) If volume increases, temperature increases.

What is Charles law?

Charles law states that when the pressure of an ideal gas is kept constant, the volume of a gas is directly proportional to the absolute temperature of the gas.

Mathematically, Charles law is given by this formula;

[tex]V\;\alpha \;T\\\\V=kT[/tex]

This ultimately implies that, as the volume of an ideal gas increases, its temperature also increases in accordance with Charles law.

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what is the percent of O in CO2

Answers

72.71 . simple google search, you shouldnt waste points

For this case we have the [tex]CO_ {2}[/tex]

It is composed of one atom of carbon and two of oxygen.

The atomic mass of carbon and oxygen, which can be found in a periodic table, are given by:

[tex]C: 12 \frac {g} {mol}\\O: 16 \frac {g} {mol}[/tex]

Then, we find the atomic mass of [tex]CO_{2}[/tex]:

[tex]1 * 12 \frac {g} {mol} = 12 \frac {g} {mol}\\2 * 16 \frac {g} {mol} = 32 \frac {g} {mol}[/tex]

Adding we have:

[tex]44 \frac {g} {mol}[/tex]

To find the percentage of oxygen, we divide the atomic mass of the two oxygen atoms between that of [tex]CO_{2}:[/tex]

[tex]\frac {32} {44} * 100 = 72.73[/tex]%

Thus, the percentage of oxygen is 72.73%

Answer:

72.73%

I tried finding the answer to this time and time again. I cannot find it. I hope someone can help me. What does photochemical smog react with?

Answers

A chemical reaction between solar ultraviolet radiation and an atmosphere polluted with hydrocarbons and oxides of nitrogen causes photochemical smog. ... Smog can happen both during the day and at night, but photochemical smog only happens in the presence of sunlight.

How many moles of sulfur atoms are present in 2.00 moles of CS2 ?

Answers

Answer: 4 mol

C + 2S = CS2

1 mol of CS2 contains 2 mol of sulfur

So 2 mol of cs2 contains 2*2 mol of S

2mol CS2 x 2 mol S/ 1 mol CS2 =

4 mol S

Final answer:

In 2.00 moles of carbon disulfide (CS2), there are 4.00 moles of sulfur atoms because each molecule of CS2 contains two sulfur atoms.

Explanation:

The question asks how many moles of sulfur atoms are present in 2.00 moles of carbon disulfide (CS2). Carbon disulfide is a chemical compound made up of one carbon atom and two sulfur atoms per molecule (CS2).

To determine the moles of sulfur atoms, we use the mole ratio from the molecular formula, which is 1 mole of CS2 contains 2 moles of sulfur (S). Accordingly, for 2.00 moles of CS2, we would have:

2.00 moles CS2 × (2 moles S / 1 mole CS2) = 4.00 moles of sulfur atoms.

Which law states that the volume and absolute temperature of a fixed quantity of gas are directly proportional under constant pressure conditions?

Answers

Charles’ Law........

Answer: Charles' Law

Explanation:

Charles' Law: This law states that volume is directly proportional to the temperature of the gas at constant pressure and number of moles.

[tex]V\propto T[/tex]     (At constant pressure and number of moles)

[tex]{V_1\times T_1}={V_2\times T_2}[/tex]

where,

[tex]V_1[/tex] = initial volume of gas

[tex]V_2[/tex] = final volume of gas

[tex]T_1[/tex] = initial temperature of gas

[tex]T_2[/tex] = final temperature of gas

Therefore, the volume and absolute temperature of a fixed quantity of gas are directly proportional under constant pressure conditions.

a foce that pushes or pulls is known as​

Answers

Answer:

Newton 3rd Law of Motion or the Law of Force Pairs

(An applied force)

Final answer:

Force is a phenomenon that creates a push or pull that has both magnitude and direction. No push or pull exists in isolation, and multiple forces interacting can have cumulative effects. The force can vary in magnitude and can manifest both as a contact force and a field force.

Explanation:

A force is a push or pull that acts upon an object as a result of its interaction with another object. It has both magnitude and direction, therefore it's a vector quantity. Objects and systems are moved by forces. This area comes under the study of dynamics.

Examples of a force can include a person pushing a table (a contact force), or the gravitational pull of the Earth on a falling object (a field force). Forces have been categorized into many types such as push, pull, thrust, lift, weight, friction, and tension.

Keep in mind that no push or pull occurs in isolation (Newton's third law). For instance, when you are pushing a wall, the wall exerts an equal and opposite force on you.

When multiple forces act on an object, they add up like vectors. If two forces push in different directions on an object, the total force will be in the direction of the resultant force.

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A geochemist examines a piece of metal that he found in the soil. He performs tests to identify the metal from its density, electrical conductivity, and melting point. Which statement best describes his investigation? He is determining physical properties that are sufficient to identify the metal. He is determining chemical properties that are sufficient to identify the metal. He is determining physical properties that are insufficient to identify the metal. He is determining chemical properties that are insufficient to identify the metal.

Answers

Answer:

He is determining physical properties that are sufficient to identify the metal.

Explanation:

A physical property is an aspect of matter that can be observed or measured without changing it. Examples of physical properties include color, molecular weight and volume. A chemical property may only be observed by changing the chemical identity of a substance.Density, electrical conductivity, and melting point are considered as physical properties and are sufficient to identify a metal as these properties are independent of the  amount of substance being examined.These properties are known as intensive properties and are used  to identify a substance by comparing the obtained values with standard values.

So, the right choice is:

He is determining physical properties that are sufficient to identify the metal.

A! He is determining physical that are sufficient to identify the metal.

What is the molar mass of Cu(OH)2

Answers

Answer:

97.54

Explanation:

Molar mas of cu (oh) 2

Cu = 63.54

O x 2  = 16 x 2 = 32

H x 2 = 1 x 2 = 2

TOTAL = 97.54


9) A 22.8 mL volume of argon gas is collected at 48.0o​ ​C. At constant pressure, what volume would this same sample of gas occupy at standard temperature?

Answers

Final answer:

Using Charles's Law, the volume of argon gas at standard temperature (0°C) after initial conditions of 22.8 mL at 48°C is calculated to be approximately 19.5 mL.

Explanation:

The student is asking for help with the concept of how gas volume changes with temperature at constant pressure, a principle known as Charles's Law. Since the question involves argon gas, a noble gas, and relates to changes in temperature and volume, this is a Chemistry subject, typically studied in high school.

According to Charles's Law, the volume of a gas is directly proportional to its temperature when pressure is held constant. The formula relating initial and final volumes and temperatures is V1/T1 = V2/T2, where V1 and T1 are the initial volume and temperature, and V2 and T2 are the final volume and temperature. Here, T must be in Kelvin.

The standard temperature (STP) is defined as 0 degrees Celsius or 273.15 K. To find the volume at STP (V2) for the argon gas, we first convert the initial temperature from degrees Celsius to Kelvin:

T1 = 48.0 + 273.15 = 321.15 KV1 = 22.8 mL (initial volume)T2 = 0 + 273.15 = 273.15 K (STP)

Now, we apply Charles's Law:

V1/T1 = V2/T2 -> (22.8 mL / 321.15 K) = V2 / 273.15 K

Multiplying both sides by 273.15 K to solve for V2 gives:

V2 = (22.8 mL * 273.15 K) / 321.15 K

V2 ≈ 19.5 mL

So, at standard temperature, this sample of argon would occupy approximately 19.5 mL.

A rectangular prism of volume 84 cm 3 has a mass of 760 g. What is the density of the rectangular prism? 5.8 g•cm 3 9.0 g/cm 3 68 g/cm 3 0.11 cm 3 /g

Answers

Answer:

9.0 g/cm³

Explanation:

Density can be computed with the formula:

[tex]D=\dfrac{M}{V}[/tex]

Where:

D = Density

M = Mass

V = Volume

In your problem we are given:

84 cm³ = volume

760 g = mass

So we just plug in our given into the formula:

[tex]D=\dfrac{M}{V}[/tex]

[tex]D=\dfrac{760g}{84cm^{3}}[/tex]

[tex]D=9.05g/cm^{3}[/tex]

The answer would then be:

9.0 g/cm³

Answer:

it is 9.04 or 9.0

Explanation:

step.
Apply A hydrate contains 0.050 mol of H2O for every
0.00998 mol of ionic compound. Write a generalized
formula of the hydrate.

Answers

Answer:

General formula of the hydrate XY.5H₂O

Explanation:

The general formula of a hydrate is given by; XY.nH₂O

Where n is the number of water of crystallization;

n = Moles of H₂O/Moles of XY

  = 0.050 Mol/0.00998 mol

  = 5.01

  ≈ 5

Therefore, the generalized formula of the hydrate is XY.5H₂O

The generalized formula of the hydrate can be written as [tex]\[ \text{ionic compound} \cdot 5 \text{H}_2\text{O} \][/tex]

To write the generalized formula of the hydrate, we need to represent the ratio of moles of water molecules to moles of the ionic compound in the hydrate.

Given:

[tex]Moles \ of \ water\ (H_2O) = 0.050 \ mol[/tex]

[tex]Moles\ of\ ionic\ compound = 0.00998\ mol[/tex]

The ratio of moles of water to moles of the ionic compound can be expressed as:

[tex]\[ \frac{\text{moles of water}}{\text{moles of ionic compound}} = \frac{0.050 \, \text{mol}}{0.00998 \, \text{mol}} \][/tex]

To simplify this ratio and express it as a whole number, we can multiply both the numerator and denominator by a factor that will result in whole numbers. In this case, we can multiply by [tex]1000[/tex]

[tex]\[ \frac{0.050 \, \text{mol} \times 1000}{0.00998 \, \text{mol} \times 1000} = \frac{50}{9.98} \][/tex]

This simplifies to approximately

[tex]\[ \frac{50}{9.98} = 5.01 \][/tex]

So, the ratio of moles of water to moles of the ionic compound in the hydrate is approximately [tex]\(5.01:1\)[/tex]

Where "ionic compound" represents the formula of the ionic compound present in the hydrate.


USATEST PREP QUESTION HELP ! Really appreciate it !
A hurricane-hit region is isolated from the rest of the country because of flooding. The storm has also cut off the power supply and all means of communication. A newspaper wants to get pictures of the place to report the incident to the rest of the country.

How can the newspaper get a photo of the place in time for its morning edition?
A) access pictures of the area taken by satellites
B) use pictures taken previously of other flooded areas
C) send a team of photographers to get pictures of the area
D) request local newspapers in the affected area to send pictures

Answers

Answer is A Access pictures of the area taken by satelites.

Explanation: Satelites are the only thing out of these four answers that does not requir power supply from the town. Hope it helped!

The newspaper can get the pictures of the place by accessing pictures of the area taken by satellites.

Satellites use magnetic sensors to collect electromagnetic radiation of specific wavelength reflected from the Earth surface.

These sensors are able to detect wavelengths that are not possible by human eyes.

The power supply that has been cut off does not affect the satellite, hence it will detect the waves reflected from the Earth surface during the hurricane and the photo of the place can used by the newspaper for its morning edition.

Thus, the best way for the newspaper to get the pictures of the place is to access pictures of the area taken by satellites.

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How does photosynthesis use solar energy?​

Answers

Answer:

Photosynthesis in plants converts solar energy into chemical energy using electrons and protons from water. The process of photosynthesis in plants involves a series of steps and reactions that use solar energy, water, and carbon dioxide to produce organic compounds and oxygen

Answer:

Solar energy is converted to chemical energy in the chemical bonds of the glucose molecule.

Explanation:

how many atoms are in 63.5 grams of Hg

Answers

count the number of moles you have

25.8 g x (1 mole / 200.59g) = # mol since g cancels out

# mol x (6.02 * 10^23 atoms / 1 mol) = # atoms since mol cancels out

Boyle's Law relates temperature to gas volume and Charles's Law relates pressure to gas volume.

True
False

Answers

False100% sure of it

False . I have had that question in my hw and i got it right by saying false so in sure of it

what is the theoretical yield of copper produced by this reaction Al with CuCl2 Al - 0.5g CuCl2 - 3.5g

Answers

Answer:

The theoretical yield of copper is approximately 1.65 grams.

Explanation:

Relative atomic mass data from a modern periodic table:

Al: 26.982;Cu: 63.546;Cl: 35.45.What's the balanced equation for the reaction between [tex]\text{Al}[/tex] and [tex]\text{CuCl}_2[/tex]?

As a metal, aluminum is more reactive than copper. Aluminum will reduce the [tex]\text{Cu}^{2+}[/tex] ion in [tex]\text{CuCl}_2\;(aq)[/tex] to [tex]\text{Cu}\;(s)[/tex]. This process will form a positive aluminum ion, which will then combine with chloride ions in the solution. What will be the charge on each aluminum ion? Aluminum is in IUPAC Group 13 of the periodic table. Each aluminum atom contains three valence electrons. As a main group metal in the p-block, each atom will lose all three of its valence electrons to form [tex]\text{Al}^{3+}[/tex] ions with three positive charges. Each ion will combine with three [tex]\text{Cl}^{-}[/tex] ions to produce a species with the empirical formula [tex]\text{Al}\text{Cl}_3[/tex].

Reactants:

[tex]\text{Al}\;(s)[/tex] and[tex]\text{CuCl}_2\;(aq)[/tex].

Products:

[tex]\text{AlCl}_3\;(aq)[/tex] and[tex]\text{Cu}\;(s)[/tex].

Let the coefficient in front of [tex]\text{AlCl}_3\;(aq)[/tex] be [tex]1[/tex].

[tex]\begin{array}{cccccccl}\text{Al}\;(s) & +& \text{CuCl}_2\;(aq) & \to & \text{AlCl}_3\;(aq) & + & \text{Cu}\;(s)\\ & & & & {\bf 1} & & &\begin{aligned}&\text{Assign "1" to the most}\\[-0.5em]&\text{complex compound.}\end{aligned} \\ {\bf 1}& &{\bf 3/2} & & 1 & & &\begin{aligned}&\text{Al and Cl atoms}\\[-0.5em]&\text{conserve.}\end{aligned}\end{array}[/tex][tex]\begin{array}{cccccccl}\phantom{\;\text{Al}\;(s)} & \phantom{+}& \phantom{\text{CuCl}_2\;(aq)} & \phantom{\to} & \phantom{\text{AlCl}_3\;(aq)} & \phantom{+} & \phantom{\text{Cu}\;(s)}\\[-1em]1& &{3/2} & & 1 & & {\bf 3/2} &\begin{aligned}&\text{Cu atoms shall also}\\[-0.5em]&\text{conserve.}\end{aligned} \\2& &{3} & & 2 & & {3} &\begin{aligned}&\text{Multiply all}\\[-0.5em]&\text{coefficients by two}\\[-0.5em]&\text{to eliminate fractions.}\end{aligned}\end{array}[/tex].

Hence the balanced equation:

[tex]2 \;\text{Al} \;(s) + 3 \;\text{CuCl}_2\;(aq) \to 2\;\text{AlCl}_3\;(aq) + 3\;\text{Cu}\;(s)[/tex].

Which reactant is limiting?

Assume that [tex]\text{CuCl}_2[/tex] is the limiting reactant.

Formula mass of [tex]\text{CuCl}_2[/tex]:

[tex]M(\text{CuCl}_2) = 63.546 + 2 \times 35.45 = 134.446\;\text{g}\cdot\text{mol}^{-1}[/tex].

Number of moles of [tex]\text{CuCl}_2[/tex] available:

[tex]\displaystyle n = \frac{m}{M} = \frac{3.5}{134.446} = 0.0260328\;\text{mol}[/tex].

The ratio between the coefficient in front of [tex]\text{CuCl}_2[/tex] is the same as the coefficient in front of [tex]\text{Cu}[/tex].

[tex]\displaystyle \frac{n(\text{Cu})}{n(\text{CuCl}_2)} = \frac{\text{Coefficient in front of } n(\text{Cu})}{\text{Coefficient in front of } n(\text{CuCl}_2)} = \frac{3}{3} = 1[/tex].

[tex]n(\text{Cu}) = 1 \cdot n(\text{CuCl}_2) = 0.0260328\;\text{mol}[/tex].

Mass of copper that is expected to be produced if [tex]\text{CuCl}_2[/tex] is the limiting reactant:

[tex]m(\text{Cu}) = n(\text{Cu}) \cdot M(\text{Cu}) = 0.0260328 \times 63.546 =1.65\;\text{g}[/tex].

Assume that [tex]\text{Al}[/tex] is the limiting reactant.

The methods are similar. Try the steps above yourself.

Formula mass of [tex]\text{Al}[/tex]:

[tex]M(\text{CuCl}_2) = 26.982\;\text{g}\cdot\text{mol}^{-1}[/tex].

Number of moles of [tex]\text{Al}[/tex] available:

[tex]\displaystyle n = \frac{m}{M} = \frac{0.5}{26.982} = 0.0185\;\text{mol}[/tex].

The ratio between the coefficient in front of [tex]\text{CuCl}_2[/tex] is [tex]3/2[/tex] times the coefficient in front of [tex]\text{Al}[/tex].

[tex]\displaystyle \frac{n(\text{Cu})}{n(\text{Al})} = \frac{\text{Coefficient in front of } n(\text{Cu})}{\text{Coefficient in front of } n(\text{Al})} = \frac{3}{2}[/tex].

[tex]\displaystyle n(\text{Cu}) = \frac{3}{2} \cdot n(\text{Al}) = 0.0277963\;\text{mol}[/tex].

Mass of copper that is expected to be produced if [tex]\text{Al}[/tex] is the limiting reactant:

[tex]m(\text{Cu}) = n(\text{Cu}) \cdot M(\text{Cu}) = 0.0277963 \times 63.546 =1.77\;\text{g}[/tex].

[tex]1.65\;\text{g} < 1.77\;\text{g}[/tex]. The first assumption is valid. [tex]\text{CuCl}_2[/tex] will run out before all [tex]0.5\;\text{g}[/tex] of aluminum are consumed, Only [tex]1.65\;\text{g}[/tex] of copper will be produced.

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