three different flasks with the same volume and temperature each contain a different gas sample: flask 1: co at 760 torr flask 2: n2 at 250 torr flask 3: h2 at 100 torr what is true about the gas samples? (avg. ke

Answers

Answer 1

Flask 3 has higher mean square value.

Flask 1 (CO) – P1 = 760 torr

Flask 2 (N2) – P2 = 250 torr

Flask 3 (H2) – P3 = 100 torr

All these have same volume and temperature

•  Average Kinetic Energy:

(K.E.) avg = 3/2 RT

(K.E.) avg ∝ T, here T = Temperature

And all the flask has same temperature

So, they all have same Kinetic Energy.

The root mean square speed (C.R.M.S.) is given by,

CRMS = √ (3RT/Mo) = √ (3PV/Mo), where Mo is the molar mass

From above CRMS ∝ √ (P/Mo)

So, higher molar mass gas molecule has lower crms.

CO = Mo = (Mo)c + (Mo)o = 12 + 16 = 28

N2 = Mo = 2(Mo)N = 2 * 14 = 28

H2 = Mo = 2(Mo)H = 2 * 1 = 2

(Mo): - H2 < N2 = CO

Hence CRMS for Flask 3 > Flask 2 > Flask 1.

So, FLASK 3 has highest CRMS

•  Rate of effusion of gas (r) is inversely proportional to square root of density (d)

r ∝ 1 / √d

r ∝ 1 / √ Mo

therefore density (d) = Mo / 2

Mo: H2 < CO = N2

r: H2 > CO = N2

Flask 3 effuses higher than flask 1 & 2.

Thus,

Flask 3 has higher mean square value.

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Related Questions

Why do you think the elements are arranged the way that they are?

Why do you think the elements are arranged the way that they are?

Answers

copy and paste Explanation: the reason that elements are arranged the way they are is that it makes them easier to comprehend, find, and understand.

The chemical elements are arranged this way because: they are grouped based on their atomic number (number of protons), for easy identification and predicting their ability to bond with other elements.

A periodic table can be defined as an organized tabular array of all the chemical elements typically arranged in order of increasing atomic number or number of protons (in rows).

Basically, a periodic table comprises eighteen (18) columns and seven (7) rows.  

Groups, which are the families of chemical elements are represented by the vertical rows on the periodic table

On the other hand, the periods of chemical elements are represented by the horizontal columns.

Generally, the chemical elements are arranged this way because they are grouped based on their atomic number (number of protons), for easy identification and predicting their ability to bond with other elements.

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order these chemical species by increasing of an aqueous solution of each. that is, imagine making an solution of each species. select next to the species that makes the solution with the lowest

Answers

The chemical species ranked in increasing order of solubility in an aqueous solution are:

1. Insoluble solid species (precipitate)

2. Slightly soluble species

3. Moderately soluble species

4. Highly soluble species

When a chemical species is dissolved in water to form an aqueous solution, its solubility determines the amount that can be dissolved. Solubility is typically expressed in terms of grams of solute dissolved per liter of solvent. Based on solubility, we can rank the chemical species in increasing order:

1. Insoluble solid species (precipitate): These species have very low solubility and form a solid precipitate when added to water. They do not readily dissolve in water and tend to settle at the bottom of the container. Examples include many metal sulfides, carbonates, and hydroxides.

2. Slightly soluble species: These species have low solubility and dissolve to a limited extent in water. They form a relatively small concentration of solute in the solution. Examples include calcium sulfate (CaSO4) and silver chloride (AgCl).

3. Moderately soluble species: These species have a moderate solubility and dissolve to a significant extent in water. They form a relatively higher concentration of solute in the solution compared to slightly soluble species. Examples include sodium carbonate (Na2CO3) and potassium iodide (KI).

4. Highly soluble species: These species have high solubility and readily dissolve in water, forming a relatively high concentration of solute in the solution. Examples include sodium chloride (NaCl) and glucose (C6H12O6).

The solubility of a species depends on various factors such as temperature, pressure, and the nature of the solute and solvent. It is important to note that solubility is a relative measure and can vary depending on the conditions.

Solubility is a crucial property in various chemical processes, including dissolution, precipitation, and extraction. Understanding the solubility of different species helps in designing and optimizing processes such as crystallization, separation, and purification. Factors that affect solubility, such as temperature and pressure, play a significant role in industrial applications. Additionally, the concept of solubility is fundamental in fields like analytical chemistry, where it is used for quantitative analysis and determining the concentration of species in solutions.

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you carry out a titration of a pure weak triprotic acid and only see two major ph jumps. one at 10.0 ml and the second one at 15.0 ml. at what volume is the other equivalence point? group of answer choices 5.0 ml 20.0 ml 30.0 ml 25.0 ml

Answers

The volume at which the third equivalence point occurs is beyond the range of the titration is none of the given choices.

Since the weak triprotic acid has three dissociation constants, it has three equivalence points. The pH at each equivalence point will depend on the dissociation constants and the concentration of the acid.

In this case, since there are only two pH jumps observed during the titration, we can conclude that we have only measured two equivalence points, corresponding to the first two dissociations of the acid.

The first pH jump at 10.0 mL corresponds to the first equivalence point, where the first hydrogen ion is completely neutralized. The second pH jump at 15.0 mL corresponds to the second equivalence point, where the second hydrogen ion is completely neutralized.

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7)What mass of hydrogen gas is produced when 8.56grams of lithium reacts with water to also produce lithium
hydroxide?
2Li + 2H20 - H2 + 2LIOH

Answers

i guess this is the answer .

7)What mass of hydrogen gas is produced when 8.56grams of lithium reacts with water to also produce lithiumhydroxide?2Li

HELP FAST
H₂S gas is removed from the system at
equilibrium below. How does the
system adjust to reestablish
equilibrium?
NH4HS(s) = NH3(g) + H₂S(g)

A. The reaction shifts to the right (products) and the
concentration of NH3 decreases.
B. The reaction shifts to the left (reactants) and the
concentration of NH3 decreases.
C. The reaction shifts to the right (products) and the
concentration of NH3 increases.
D. The reaction shifts to the left (reactants) and the
concentration of NH3 increases.

Answers

When H₂S gas is removed from the system at equilibrium, the reaction shifts to the right (products) and the concentration of NH₃ increases (option C)

How do i determine where the reaction will shift to?

A French scientist (Chatelier) postulated a principle which helps us to understand a chemical system in equilibrium.

The principle states that If a an external constraint such as change in temperature, pressure or concentration is imposed on a system in equilibrium, the equilibrium will shift so as to neutralize the effect.

According to Chatelier's principle a decrease in concentration of the products will favor the forward (right) reaction.

From the above principle, we can conclude that when H₂S gas is removed from the system at equilibrium, the reaction shifts to the right (products) and the concentration of NH₃ increases.

Thus, the correct answer to the question is option C

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26. In a linked-based implementation of the ADT list with only a head reference, what is the performance of removing an entry at the end of the list? a. O(n) b. O(n 2 ) c. O(log n) d. O(1)

Answers

The performance of removing an entry at the end of a linked-based implementation of the ADT list with only a head reference is O(n).

This is because in order to remove the last entry, we need to traverse the entire list to find the second-to-last node, and then update its reference to null. This traversal requires visiting every node in the list, so the time complexity is proportional to the length of the list, which is O(n). Therefore, the correct answer is (a) O(n).

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trace the path of information through your body from a stimulus to a reaction

Answers

Here's a general overview of how information travels through your body from a stimulus to a reaction:

1. Stimulus: A stimulus is any physical or chemical change in the environment that activates a sensory receptor in your body. Examples of stimuli include light, sound, touch, taste, and smell.

2. Sensory receptors: Sensory receptors are specialized cells that detect stimuli and convert them into electrical signals that can be transmitted to the nervous system. Each type of sensory receptor is specialized to respond to a specific type of stimulus.

3. Sensory neurons: Sensory neurons are nerve cells that transmit electrical signals from sensory receptors to the spinal cord or brain. The sensory neurons are part of the peripheral nervous system.

4. Spinal cord or brain: Depending on the type of stimulus and where it occurs in the body, the electrical signals from sensory neurons may travel directly to the spinal cord or to the brain. The spinal cord is the main pathway for signals that don't require conscious awareness, such as reflexes, while the brain processes signals that require conscious perception.

5. Processing: Once the electrical signals reach the spinal cord or brain, they are processed by a network of neurons that interprets the information and generates a response. This processing may involve multiple regions of the brain, depending on the complexity of the stimulus and the required response.

6. Motor neurons: Motor neurons are nerve cells that transmit electrical signals from the brain or spinal cord to muscles or glands. Motor neurons are part of the peripheral nervous system.

7. Response: The electrical signals from motor neurons cause muscles to contract or glands to secrete hormones or other substances, producing a physical response to the stimulus. This response may be immediate, as in the case of a reflex, or it may be delayed, as in the case of a conscious decision to move or speak.

Overall, the path of information from a stimulus to a reaction involves a complex interplay between sensory receptors, sensory neurons, the spinal cord and brain, motor neurons, and muscles or glands. Each step in this process is critical to the overall response to the stimulus, and any disruptions or damage to these systems can result in a range of sensory and motor deficits.

Is Orange Juice with Pulp is Heterogeneous
or Homogeneous Mixture?

Answers

Answer:

I think so henterogeneous


Where do meteorologists obtain the data they use to make a
weather forecast?

Answers

Answer:

doppler radar, radiosondes, weather satellites, buoys

The solubility of a gas in a liquid varies in proportion to the partial pressure of that gas in the overlying space. This relationship is known as:
a) Henry's Law
b) Guy-Lussac's Law
c) The Henderson-Hasselbach equation
d) Dalton's Law

Answers

The correct answer is a) Henry's Law. This law states that the solubility of a gas in a liquid is directly proportional to the partial pressure of the gas in the overlying space.

This means that as the partial pressure of the gas increases, more gas molecules will dissolve in the liquid. Henry's Law is important in many areas of science, including chemistry, environmental science, and biology.

For example, it is used to understand the behavior of gases in the atmosphere and their impact on climate change, as well as the ability of aquatic organisms to obtain oxygen from water.

Henry's Law can also be applied to industrial processes such as gas purification and carbonation of beverages.

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Help question below-->

Help question below--&gt;

Answers

The heat transferred when 4.5 grams of Carbon reacts with H2O is approximately 42.38 kJ. Therefore, the correct option is 42 kJ absorbed.

Option B.

Given reaction is as follows: C(s) + H2O(g) + 113 kJ → CO(g) + H2(g)To find the amount of heat transferred when 4.5 grams of Carbon reacts with H2O, we have to first find the amount of moles of Carbon present. The molar mass of Carbon is 12 g/mol. Therefore, the amount of moles of Carbon can be calculated as follows:mass of carbon/molar mass of carbon=4.5 g/12 g/mol=0.375 molNow, to find the amount of heat transferred, we use the equation, q = n∆Hwhere q is the heat transferred, n is the amount of moles of Carbon present, and ∆H is the enthalpy change for the given reaction. ∆H is given in the equation as 113 kJ.To find the sign of ∆H, we look at the reactants and products. In the given reaction, Carbon reacts with H2O to form CO and H2. Since Carbon and H2O are reactants and CO and H2 are products, this reaction is an endothermic reaction. Hence, the value of ∆H is positive.∆H = 113 kJ/molNow, substituting the values in the equation, q = n∆Hq = 0.375 mol × 113 kJ/molq = 42.38 kJ (approx)

Option B.

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Which type of change must occur to form a compound.

Answers

Answer:

Chemical reactions!

3. Which statement describes the types of data
scientists can obtain directly from observing
this fossil?
A. the exact time the organism lived
B. the color of the living organism
C. where the organism lived
D. the physical structures of the organism

Answers

There are numerous ways that fossils can form, but the majority occur when a living thing—such as a plant or animal—dies and is swiftly buried by sediment—such as mud, sand, or volcanic ash and rock.

Thus, Only the hard bones or shells are left behind when soft tissues degrade, yet in some cases an organism's soft tissues can be retained and animals.

More sediment, volcanic ash, or lava may accumulate over the organism after it has been buried, and eventually all the layers harden into rock.

These once-living organisms are only revealed to us from within the stones when the process of erosion takes place, when the rocks are worn back down and washed away and fossil.

Thus, There are numerous ways that fossils can form, but the majority occur when a living thing—such as a plant or animal—dies and is swiftly buried by sediment—such as mud, sand, or volcanic ash and rock.

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What type of energy does photosynthesis turn energy from the sun into?

Answers

Explanation:

it turn into chemical energy

The answer would be ~chemical energy~ because plants convert solar energy into chemical energy

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The homogeneity of the chloride level in a water sample from a lake was tested by analyzing portions drawn from the top and from near the bottom of the lake, with the following results
Top (ppm Cl)
Bottom (ppm Cl)
26.30
26.22
26.43
26.32
26.28
26.20
26.19
26.11
26.49
26.42
Apply the t-test at the 95% confidence level to determine if the chloride level from the top of the lake is different from that at the bottom.
Now use the paired t-test and determine whether there is a significant difference between the top and bottom values at the 95% confidence level.
Why is a different conclusion drawn from using the paired t- test than from just pooling the data and using the normal t- test for differences in means?

Answers

The paired t-test yields a different conclusion than the normal t-test because it accounts for the paired nature of the data, comparing the measurements taken at the top and bottom of the lake separately.

In this scenario, the paired t-test is appropriate because it analyzes the data as pairs, considering the chloride levels measured at the top and bottom of the lake for each sample. By comparing the differences within each pair, the paired t-test determines whether there is a significant difference between the chloride levels at the top and bottom of the lake.

Using the paired t-test, the differences between the paired observations are calculated, and the null hypothesis assumes that the mean difference is zero (no significant difference between the top and bottom chloride levels). The test then determines whether the observed differences are statistically significant at a chosen confidence level, in this case, 95%.

The normal t-test for differences in means, on the other hand, would treat the top and bottom chloride levels as separate and unrelated groups, disregarding their paired nature. By pooling the data and conducting a standard t-test, the analysis assumes that the two sets of measurements are independent, which may not be appropriate in this case. This can lead to a different conclusion compared to the paired t-test.

The different conclusion drawn from using the paired t-test compared to pooling the data and using the normal t-test is due to the consideration of the paired nature of the measurements. The paired t-test takes into account the potential correlation or connection between the measurements taken at the same location (top and bottom of the lake) and assesses the differences within each pair.

Pooling the data and using the normal t-test treats the measurements as independent, disregarding the pairing. This can result in a loss of valuable information and may lead to an inaccurate conclusion. The paired t-test is more appropriate when dealing with dependent or related measurements, ensuring a more accurate assessment of the differences between the top and bottom chloride levels.

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The theory of plate tectonics was, at first, rejected by most scientists. Now most geologists accept that tectonic plates exist and that these tectonic plates can and do move. What is responsible for the change in how scientists think about plate tectonics?

Answers

Answer:

The validation of seafloor spreading in the 1950s and 60s

Explanation:

The theory of seafloor spreading was supported by numerous evidence including thermal probes that showed that heat flow over the mid-ocean ridges measured up to four times those measured in general bottom sediments, which are taken as due to the presence of molten Earth material close to the ridge crest

The ridge crest also show signs unusually seismic wave velocities that are considered to be due to microfracturing and thermal expansion from upwelling magma

7. Ionic solids use regular, repeating patterns to create crystal-like structures.
Fe+2 and S-2 are shown below. Use 10 cations and 10 anions to build the crystal
lattice structure of FeS (your final model should have 20 circles.)

Answers

Ionic solids use regular, repeating patterns to create crystal-like structures. Therefore, lattice structure of FeS  is of cubic.

What is Ionic solids?

Ionic solids would those be crystalline solids that include ions with opposite charges that are kept together by intense electrostatic forces of attraction. (ionic bonds). Examples: Ionic solids like NaCl, KBr, etc. have crystals. Describe how the anions and cations are arranged using a clear geometric design.

Describe how the anions and cations are arranged using a clear geometric design. They thus exist at room temperature as crystalline solids. They never exist as liquids or gases under normal pressure and temperature circumstances. Lattice structure of FeS is of cubic.

Therefore, lattice structure of FeS  is of cubic.

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What is the number of protons of oxygen

Answers

Answer:

8 protons

The number of protons tell us what type of element an atom is.

Which substance below has the strongest intermolecular forces?

Propane, CH3CH2CH3, MW = 44 g/mol

O Methanethiol, CH3SH, MW = 48 g/mol

Ethanamine, CH3CH2NH2, MW = 45 g/mol

Methyl phosphine, CH3PH3, MW = 48 g/mol

Answers

Methyl phosphine (CH3PH3) has the strongest intermolecular forces among the given compounds.

The strength of intermolecular forces is determined by the type of bond present in a substance. Methyl phosphine has dipole-dipole interactions, which are stronger than the London dispersion forces present in the other compounds. This is the main reason for this compound having the strongest intermolecular forces.

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What does pathological tissue growth mean? and add another word that means the same thing but not bigger need help pleases don't put any links!

Answers

Answer:

It's more like abnormal tissue growth

Explanation:

consider it like a cancer.

PLEASE HELP ASAP

What process is represented by this redox equation?
-
6H20 + 6CO2
C6H1206 +602
A. Cellular respiration
B. Rusting
C. Photosynthesis
D. Combustion

Answers

The process representing 6CO₂+6H₂O→C₆H₁₂O₆+6O₂.6CO₂+6H₂O→C₆H₁₂O₆+6O₂ is Option C , Photosynthesis.

What is Photosynthesis ?

Photosynthesis is a multi-step process that requires sunlight, carbon dioxide, and water as substrates.

It produces oxygen and glyceraldehyde-3-phosphate (G3P or GA3P), simple carbohydrate molecules that are high in energy and can subsequently be converted into glucose, sucrose, or other sugar molecules.

These sugar molecules contain covalent bonds that store energy.

Organisms break down these molecules to release energy for use in cellular work.

The energy from sunlight drives the reaction of carbon dioxide and water molecules to produce sugar and oxygen, as seen in the chemical equation for photosynthesis.

Though the equation looks simple, it is carried out through many complex steps.

The chemical equation for photosynthesis is  

6CO₂+6H₂O→C₆H₁₂O₆+6O₂.6CO₂+6H₂O→C₆H₁₂O₆+6O₂

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How is the kinetic energy of molecules changing when the molecules move faster?

The kinetic energy ...

a

is not changing

b

depends on the molecules.

С

is decreasing.'

d

is increasing

Answers

Answer:

I think it is increasing

A 0.325g of potassium hydrogen phthalate (khp) required 20.15ml of naoh for neutralization. calculate the molarity of naoh.​

Answers

The molarity of NaOH is calculated to be 0.079 mol/L. It is important to include the correct unit of molarity,

The given information states that the mass of KHP is 0.325 g and the volume of NaOH used is 20.15 mL. To find the molarity of NaOH, we can use the formula: Molarity = number of moles of NaOH / Volume of NaOH in liters. The number of moles of NaOH can be determined by the number of moles of KHP used in the neutralization reaction, as per the balanced chemical equation: KHP + NaOH → NaKP + H2O. In this equation, 1 mole of KHP requires 1 mole of NaOH for neutralization.

To calculate the number of moles of KHP, we divide the mass of KHP by its molar mass. The molar mass of KHP (C8H5KO4) is 204.22 g/mol. Therefore, the number of moles of KHP is 0.325 g / 204.22 g/mol = 0.001591 mol.

Since the stoichiometry of the reaction indicates that the number of moles of NaOH is the same as the number of moles of KHP, the number of moles of NaOH is also 0.001591 mol.

The volume of NaOH used is given as 20.15 mL, which needs to be converted to liters by dividing by 1000. So, the volume of NaOH is 20.15 mL / 1000 = 0.02015 L.

Substituting these values into the formula for molarity, we get Molarity = 0.001591 mol / 0.02015 L = 0.079 mol/L.

Therefore, the molarity of NaOH is calculated to be 0.079 mol/L. It is important to include the correct unit of molarity, which is mol/L or M, in the answer.

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What is the poh of a solution with a ph of 1.30? PLZZ ANSWER

Answers

Answer:

12.70

Explanation:

Arrange the following atoms and ions in order from smallest to largest radius
K+, Ca2+, S2-, Cl-, Ar+

Answers

Answer:

3.2.4.5.1

Explanation:

Complete the balanced chemical reaction for the following weak base with a strong acid. In this case, write the resulting acid and base as its own species in the reaction.
NH3(aq) + HCl (aq) ->

Answers

Answer:

In this reaction, the hydrogen from the HCl is taken up by ammonia.

NH₃ (aq) + HCl (aq)  ----> NH₄⁺ (aq)  + Cl⁻ (aq)

In this reaction, ammonium (NH₄⁺) is the acid and the chorine ion (Cl⁻) is the base.

When acid and base combine then formation of salt take place and the reaction is called neutralization reaction. Hence the balanced equation is NH₃(aq) + HCl(aq)  \(\rightarrow\)NH₄Cl

What is Balanced equation?

Balanced equation is the one in which the total number of atoms of a species on reactant side is equal to the total number of atoms on product side. The principle behind the balanced equation is the conservation of mass that is mass can neither be created nor be destroyed.

Since, HCl is acid and NH₃ is base so H⁺ will be transferred from acid to base

The balanced equation is

NH₃(aq) + HCl(aq)  \(\rightarrow\) NH₄⁺(aq)  + Cl⁻ (aq)

Cl⁻ and NH₄⁺  combine to form salt ammonium chloride

Here NH₃  is Lewis base as it can donate its lone pare of electron to H⁺ coming from acid and HCl is a Bronsted acid as it give H⁺.

Hence the balanced equation is

NH₃(aq) + HCl(aq)  \(\rightarrow\)NH₄Cl

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A fundamental equation of thermodynamics, the Gibbs-Helmholtz equation, is a linear equation that relates free energy change, AG, to absolute temperature, T. The equation is AG = AH -TAS, where AH is enthalpy change and AS is entropy change. Using the above equation, find AG at 400 K for a reaction in which AH = 61.0 kcal and AS = 0.020 kcal/K. 7. A cost equation is known to be y = 10x + 250, where x is the number of units produced and y is the cost in $. Find the total cost of producing 5 000 units. Round your answer to four significant digits (SD).

Answers

At 400 K, the free energy change (ΔG) for the reaction is 53.0 kcal. The total cost of producing 5,000 units is $50,250.

To find ΔG at 400 K using the Gibbs-Helmholtz equation, we need to substitute the given values of ΔH and ΔS into the equation.

ΔG = ΔH - TΔS

Given;

ΔH = 61.0 kcal

ΔS = 0.020 kcal/K

T = 400 K

Substituting these values into the equation;

ΔG = 61.0 kcal - (400 K)(0.020 kcal/K)

ΔG = 61.0 kcal - 8.0 kcal

ΔG = 53.0 kcal

Therefore, at 400 K, the free energy change (ΔG) for the reaction is 53.0 kcal.

To find the total cost of producing 5,000 units using the cost equation y = 10x + 250, we need to substitute x = 5,000 into the equation.

y = 10x + 250

Given;

x = 5,000

Substituting x = 5,000 into the equation:

y = 10(5,000) + 250

y = 50,000 + 250

y = 50,250

Therefore, the total cost of producing 5,000 units is $50,250.

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How many molecules of NaOH are in 10.0 g of NaOH? *

Answers

The number of molecules in 10.0 gram of NaOH is 15 * 10²².

To solve this question, we need to understand some terms of mole concept,

Mole - It is the amount of substance containing same number of molecules or atoms as there are atoms in 12 gram of carbon-12 isotope.

Molecules - It is group of atoms bonded together, representing the smallest fundamental unit of a chemical compound taking part in chemical reaction.

Molecular weight - The sum of atomic masses of all atoms in molecules.

Avogadro number - It is the number of atoms, ions, electrons, molecules in one mole of substance. It is represented as NA.

NA = 6.0 * 10²³ (approx)

To calculate the number of molecules, we apply the formulae,

no. of molecules = moles * NA

moles = weight / molecular weight

moles = 10.0 / 40

          = 0.25

Substituting this value to calculate number of molecules,

no. of molecules = 0.25 * 6.0 * 10²³

                            = 15 * 10²²

Therefore the number of molecules of in 10.0 g of NaOH is 15 * 10²².

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One mole of copper atoms is 6.02 x 1023 copper atoms.
True or false?

Answers

Answer:

Explanation:

The relation between molecular (formula) mass and molar mass page 44 . To obtain one mole of copper atoms (6.20 x 1023 ne atoms) weigh out 63.55 g copper. The molar mass (M) of a substance is the mass of one mole of entities (atoms, molecules, or formula units) of the substance.

What is the maximum mass of aluminum oxide that could be produced along with 48.96 g iron?

Answers

With 48.96 g of iron, the maximum mass of aluminum oxide that may be created is 22.3 g.

To determine the maximum mass of aluminum oxide that could be produced along with 48.96 g of iron, we need to first determine which reactant is limiting. The balanced chemical equation for the reaction between aluminum and iron (III) oxide is:

2Al(s) + Fe₂O₃(s) → 2Fe(s) + Al₂O₃(s)

From the equation, we can see that 2 moles of aluminum react with 1 mole of iron (III) oxide to produce 2 moles of iron and 1 mole of aluminum oxide.

We can use the molar mass of iron (III) oxide and the mass of iron provided to determine the number of moles of iron (III) oxide that reacted:

Molar mass of Fe₂O₃ = 55.85 g/mol + 2(16.00 g/mol)

                                    = 159.69 g/mol

Number of moles of Fe = 48.96 g / 55.85 g/mol

                                       = 0.876 mol

Number of moles of Fe₂O₃ = 0.876 mol / 2

                                              = 0.438 mol

Therefore, 0.438 moles of iron (III) oxide reacted, which is the limiting reactant since there is less iron (III) oxide than required to react with all of the aluminum present.

Using the stoichiometry of the balanced equation, we can determine the maximum mass of aluminum oxide that can be produced:

1 mole of Al₂O₃ = 101.96 g

2 moles of Al react with 1 mole of Al₂O₃

Number of moles of Al₂O₃  = 0.438 mol / 2 = 0.219 mol

Mass of Al₂O₃ = 0.219 mol x 101.96 g/mol = 22.3 g

Therefore, the maximum mass of aluminum oxide that could be produced along with 48.96 g of iron is 22.3 g.

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