17 points The Art Forger Who Tricked the Nazis
Where did the trial take place? What was the defendant accused of?
What was strange about his defense?
How did Han van Meegeren manage to forge the works of art so well? What did he do to make them look authentic?
How could forensic testing have changed this case?
What ultimately happened to van Meegeren?
Money to Run, But No Skills to Hide
How did Schrenker try to fake his own death? How did he get caught?
Why is creating a new state ID harder to do these days?
Why is it so difficult to fake a passport? What is the easiest way for criminals to obtain a passport?
Why does Mr. Abagnale claim it is easy to get a fraudulent passport? What steps does someone have to take to make this happen?
Why was Mr. Abagnale arrested? What happened to him after his arrest?

The period of a wave is directly proportional to the wavelength of the wave. True

Period is the time it takes to complete one cycle of a wave, and wavelength is the distance between two identical locations in the neighbouring cycles of a wave. The number of cycles in a second is defined as frequency. In other terms, frequency = 1 / period.

An electromagnetic wave's wavelength is proportional to its frequency. Likewise, an electromagnetic wave's frequency is equal to the reciprocal of its period.

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Explanation:

The reactant contains 2N and 6H

The product contains 2N and 6H

Therefore, the chemical equation is balanced

From the equation, for every 1 mole of N2 that reacts, 3 moles of H2 are required.

We know 28.6 grams of N2 reacted, but we don’t know the mass ratio but just the mole ratio, so we have to convert 28.6 grams of N2 to the corresponding moles of N2.

From the periodic table, the molar mass of N is about 14 g/mol, so the molar mass of nitrogen gas or N2 is two times of that which is 28 g/mol.

With this, we can calculate moles of N2, but we also need to make sure the equation is setted up the right way.

Looking at the units, if we cancel out the grams, we are left with mol. We also know that in multiplication, numerator of one number cancel with the denominator of another number and vice versa

So the equation looks like this 28.6g * mol/28g = 1.021 mol N2

So the number of moles of H2 required is 1.021 mol N2 * 3 mol H2/1 mol N2 = 3.063 mol H2 (notice that mol N2 canceled out, so the equation is set up correctly)

However, the question ask for number of grams of H2 needed, so we need the molar mass of hydrogen gas or H2, which is 1*2 = 2 g/mol

3.063 mol H2 * 2 g H2/ mol H2 = 6.126 g H2

Ans: 6.126 g H2

According to the question the percent by mass Xe in sample B is 63.3%.

Mass is a measure of the amount of matter in an object. It is usually measured in kilograms or grams, but it can also be expressed in other units such as pound or ton. Mass is different than weight, which is a measure of the force of gravity acting on an object. Mass is constant regardless of the gravity a certain object is exposed to, while weight will change depending on the gravity.

The percent by mass Xe in sample B is equal to the mass of Xe in sample B divided by the total mass of sample B multiplied by 100. This equation can be written as:(mass of Xe in sample B / total mass of sample B) × 100
Plugging in the values for the mass of Xe in sample B (31.65g) and the total mass of sample B (50.0g), we get:
(31.65 g / 50.0 g) × 100 = 63.3%
Therefore, the percent by mass Xe in sample B is 63.3%.

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The molar absorptivity A for Co(NH3)6³ at 475 nm is 251.5 kJ/mol.

What is Molar Absorptivity?

Molar absorptivity, also known as molar extinction coefficient, is a measure of how strongly a substance absorbs light at a particular wavelength. It is defined as the absorption coefficient divided by the concentration of the absorbing species and the path length of the sample:

To calculate A in J/molecule, we can use the formula:

A = hc / λmax

where A is the molar absorptivity in J/molecule, h is Planck's constant (6.626 x 10^-34 J s), c is the speed of light (2.998 x 10^8 m/s), and λmax is the wavelength of maximum absorbance in meters.

Converting the wavelength of maximum absorbance from nm to meters, we have:

λmax = 475 nm * (1 m / 10^9 nm) = 4.75 x 10^-7 m

A = (6.626 x 10^-34 J s) * (2.998 x 10^8 m/s) / (4.75 x 10^-7 m)

= 4.18 x 10^-17 J/molecule

Therefore, the molar absorptivity A for Co(NH3)6³ at 475 nm is 4.18 x 10^-17 J/molecule.

To convert this value to kJ/mol, we can use the formula:

A (kJ/mol) = A (J/molecule) * N (Avogadro's number) / 1000

where N = 6.022 x 10^23 mol^-1 is Avogadro's number.

Substituting the values, we get:

A (kJ/mol) = (4.18 x 10^-17 J/molecule) * (6.022 x 10^23 mol^-1) / 1000

= 251.5 kJ/mol

Therefore, the molar absorptivity A for Co(NH3)6³ at 475 nm is 251.5 kJ/mol.

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Answer:

when the solution of potassium hydroxide and zinc chloride are mixed,the double-displacement reaction occur ,resulting in precipitation and the reaction forms potassium chloride and zinc hydroxide .

The atom with the lowest first ionization energy is C (carbon). The order from highest to lowest is: e) Cl (chlorine) > d) P (phosphorus) > c) Ge (germanium) > b) C (carbon) > a) Ca (calcium).

The atom that would have the lowest first ionization energy is Ca (Calcium). The amount of energy that is required to remove the most loosely held electron from an isolated neutral gaseous atom to form a cation is called the first ionization energy. It is a measure of the stability of an atom. The ionization energy of an element is determined by the amount of energy required to remove an electron from its ground state. The ionization energy is a physical property of an element that varies across the periodic table. The element that has the lowest ionization energy is the most reactive and will most likely form cations.

Identify which of the following atoms would have the lowest first ionization energy. The given atoms are Ca, C, Ge, P, and Cl. Out of these atoms, Ca would have the lowest first ionization energy. The electronic configuration of Ca is 2, 8, 8, 2. Calcium belongs to group 2 and period 4 of the periodic table. It has 20 protons, 20 electrons, and 2 valence electrons. Because of its 2 valence electrons, it has a low ionization energy. The electronic configuration of Ca is most stable because of the presence of the 8 valence electrons in the outermost shell.

The electronic configurations of the other given atoms are:

C: 2, 4Ge: 2, 8, 18, 4P: 2, 8, 5Cl: 2, 8, 7

All of these elements have electrons that are either in the process of filling the valence shell or have already filled it. They have higher ionization energies because of this. Therefore, Ca would have the lowest first ionization energy.

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Assuming that the glass is made entirely of silicon dioxide (SiO2), which is a common component of glass, we can calculate the number of silicon atoms based on the molecular weight of SiO2 and the weight of the glass.

The molecular weight of SiO2 is approximately 60 g/mol. Therefore, 6.240 g of SiO2 corresponds to:

6.240 g SiO2 × (1 mol SiO2/60 g SiO2) = 0.104 mol SiO2

Since each molecule of SiO2 contains one silicon atom, the number of silicon atoms in the piece of glass can be calculated by multiplying the number of moles of SiO2 by Avogadro's number (6.022 × 10^23 atoms/mol):

0.104 mol SiO2 × (6.022 × 10^23 atoms/mol) = 6.26 × 10^22 silicon atoms

Therefore, there are approximately 6.26 × 10^22 silicon atoms in a piece of glass weighing 6.240 g, assuming the glass is made entirely of SiO2.

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i. The remains were interred on the foothills or mountainsides, ii. A mining region provided the soil, iii. Dirt was transferred from a subsurface location, iv. The soil had been dug up and compacted using a shovel.

The soil samples collected from the burial contained rocks and minerals that are typically found in mountainous areas, which lends credence to the assertion that the victims were interred in the highlands or foothills of the mountains.

ii. Soil was collected from a mining area: The discovery of iron, copper, and other minerals typical of mining sites lends credence to this argument.

iii. Subsurface dirt was moved: This assertion is confirmed by the presence of a layer of subsoil in the soil samples that was distinct from the top soil.

iv. The soil had been dug up and compacted using a shovel: The presence of both loose and compacted soil in the soil samples lends credence to this assertion.

v. The earth on the shovel and at the gravesite matched each other: The fact that the shovel and burial dirt samples both contained identical minerals and had comparable chemical compositions lends credence to this assertion.

vi. Animals played a role in the crime's resolution: This assertion is reinforced by the fact that the grave's surroundings had been disturbed by animals, which led detectives to the location of the grave.

b) The various methods of examination employed to contrast the soil discovered on the shovel and the soil discovered at

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(S)-2-butanol will undergo an SN2 reaction with HBr to produce a racemic mixture of alkyl bromides. Here option B is the correct answer.

When optically active alcohol is treated with HBr, the reaction follows an SN1 or SN2 mechanism. In the case of SN1, a carbocation intermediate is formed, and in SN2, a backside attack by the nucleophile occurs. The stereochemistry of the product depends on the configuration of the intermediate and the direction of attack.

In the case of (S)-2-butanol, the hydroxyl group is attached to the second carbon atom, which makes it a primary alcohol. When treated with HBr, it undergoes an SN2 reaction, where the hydroxyl group is replaced by the bromine atom. The nucleophile attacks from the backside of the molecule, leading to an inversion of configuration.

This results in the formation of a racemic mixture of alkyl bromides, as both enantiomers have an equal chance of being attacked from either side. On the other hand, (R)-2-butanol, being the enantiomer of (S)-2-butanol, will also undergo the same reaction and produce the same racemic mixture of alkyl bromides.

In the case of (R)-1-phenyl ethanol and (S)-1-phenyl ethanol, they are secondary alcohols and can undergo either SN1 or SN2 reactions depending on the reaction conditions. However, the reaction mechanism will lead to the formation of a mixture of diastereomers, rather than a racemic mixture of enantiomers.

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Complete question:

Which of the following optically active alcohols, when treated with HBr, results in a racemic mixture of alkyl bromides?

a) (R)-2-butanol

b) (S)-2-butanol

c) (R)-1-phenyl ethanol

d) (S)-1-phenyl ethanol

The correct Lewis structures of the compounds that we have in the question have been shown in the images attached.

A Lewis structure is a diagram that shows the bonding between atoms in a molecule and the arrangement of electrons around the atoms. It is also known as a Lewis dot structure, Lewis dot diagram, or electron dot structure.

Lewis structures are useful in predicting the geometry of molecules and determining the polarity of molecules. They are also helpful in understanding the reactivity of molecules and how they interact with other molecules.

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Answer:

To balance this equation, we need to know the coefficients for each reactant and product. The balanced equation for the reaction is:

C7H17 + 11O2 → 7CO2 + 8H2O

This equation indicates that one molecule of heptane reacts with 11 molecules of oxygen gas to produce seven molecules of carbon dioxide and eight molecules of water.

The stoichiometric coefficients in the balanced equation tell us the relative amounts of each reactant and product in the reaction. For example, one molecule of heptane reacts with 11 molecules of oxygen gas to produce seven molecules of carbon dioxide and eight molecules of water. Therefore, if we have 1 mole of heptane, we need 11 moles of oxygen gas to completely react with it, and we will produce 7 moles of carbon dioxide and 8 moles of water.

To determine the amount of each product that will be produced when a given amount of reactants is used, we need to use stoichiometry. We can convert the mass of heptane and oxygen gas to moles, and then use the stoichiometric coefficients in the balanced equation to calculate the amount of carbon dioxide and water that should be produced.

For example, if we have 10 grams of heptane and 50 grams of oxygen gas, we can calculate the amount of each product that should be produced as follows:

1. Calculate the number of moles of each reactant:

moles of heptane = 10 g / 100.21 g/mol = 0.0999 mol

moles of oxygen gas = 50 g / 31.9988 g/mol = 1.562 mol

2. Determine the limiting reactant:

Using the stoichiometric coefficients in the balanced equation, we can see that 1 mole of heptane reacts with 11 moles of oxygen gas. Therefore, the limiting reactant is heptane, because we only have 0.0999 moles of it, whereas we have 1.562 moles of oxygen gas.

3. Calculate the theoretical yield of each product:

moles of CO2 = moles of heptane × (7 moles of CO2 / 1 mole of C7H17) = 0.6993 mol

moles of H2O = moles of heptane × (8 moles of H2O / 1 mole of C7H17) = 0.7992 mol

mass of CO2 = moles of CO2 × molar mass of CO2 = 0.6993 mol × 44.01 g/mol = 30.77 g

mass of H2O = moles of H2O × molar mass of H2O = 0.7992 mol × 18.015 g/mol = 14.39 g

Therefore, if we have 10 grams of heptane and 50 grams of oxygen gas, the theoretical yield of carbon dioxide is 30.77 grams and the theoretical yield of water is 14.39 grams. Note that the actual yield may be different, depending on the conditions of the reaction and the efficiency of the reaction.

Polar air is often described as dry because there is a large separation between the dew point and air temperature. This occurs because the air is usually very cold and has a low absolute humidity.

Polar air is often described as dry even though the relative humidity is high. This is because in polar regions there is a large separation between dew point and air temperature.In polar regions, the air is very cold, and therefore has very little moisture. This means that the relative humidity of the air is very high, but the actual amount of moisture in the air is very low. This is because cold air cannot hold as much moisture as warm air. When the temperature of the air drops, the amount of moisture that it can hold also decreases.

As a result, the relative humidity of the air increases, even though the actual amount of moisture in the air is very low.

The relative humidity is high because the dew point and air temperature are close together. This means that the amount of water vapor in the air is low, making it feel dry.

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Answer:

The given equilibrium constant expression is for the reaction:

2 CO2 (g) + 2 SO2 (g) + O2 (g) ⇌ 2 CO2 (g) + 2 SO3 (g)

To incorporate Na2CO3 (s) into this reaction, we need to balance the equation for the reaction involving Na2CO3:

Na2CO3 (s) → Na2O (s) + CO2 (g)

Now, we can combine the two equations by cancelling out CO2 (g) on both sides:

Na2CO3 (s) → Na2O (s) + CO2 (g)

2 CO2 (g) + 2 SO2 (g) + O2 (g) ⇌ 2 CO2 (g) + 2 SO3 (g)

Adding the two equations together, we get the balanced chemical equation for the overall reaction:

Na2CO3 (s) + 2 SO2 (g) + O2 (g) → Na2O (s) + 2 SO3 (g)

The equilibrium constant expression remains the same as [CO2]2/[SO2]2[O2], as CO2 is not involved in the overall reaction.

The average value of the molar volume of hydrogen is 24.0 liters per mole (L/mol).

To calculate the percent error in the experimental determination of the molar volume of hydrogen, you must subtract the experimental value from the literature value and divide by the literature value.

One liter of hydrogen gas at STP has a mass of 0.090 grams, which is the experimental value of the density of hydrogen. This value is lower than the literature value, which is 0.089 grams per liter (g/L).
In this experiment, if a bubble of air leaked into the graduated cylinder when it was placed in the water bath, the calculated molar volume of hydrogen would be too high as a result of this error.

This is because the presence of the bubble of air would increase the measured volume of hydrogen gas.If the magnesium ribbon appeared to be oxidized, the calculated molar volume of hydrogen would be too low as a result of this error.

This is because the oxidation of the magnesium ribbon would reduce the amount of hydrogen gas produced, resulting in a lower measured volume of hydrogen gas. For demonstration purposes, the ideal gas law may be used to calculate the maximum amount or length of magnesium ribbon that may be used.

The ideal gas law equation is PV = nRT, where P is the pressure, V is the volume, n is the amount of substance, R is the ideal gas constant, and T is the temperature. Knowing the desired volume of the gas, the amount of substance can be calculated.

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The physical properties of aldehydes and ketones are related to their structural features in the following ways: they are polar molecules and therefore exhibit dipole-dipole interactions, and their strength of dipole-dipole interactions increases with increasing molecular size.

The physical properties of aldehydes and ketones are related to their structural features in the following ways.
Aldehydes and ketones are polar molecules, meaning they have regions of positive and negative charge that create a dipole-dipole interaction between their molecules. This interaction is what causes them to be attracted to other molecules and increases their reactivity. The strength of the dipole-dipole interactions generally increases as the molecular size increases.
Aldehydes and ketones can also form hydrogen bonds with water molecules. Shorter chain aldehydes and ketones are more likely to form hydrogen bonds due to their smaller size, making them more soluble in water.
Additionally, shorter chain aldehydes and ketones can form hydrogen bonds with water molecules and are more water soluble.

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The concentration of the potassium permanganate solution is 72 mol/L. The answer has three significant figures because the volume of the flask has only one significant figure.

The concentration of the potassium permanganate solution can be calculated using the formula:

concentration = moles of solute / volume of solution

where the volume of solution is in liters.

First, we need to convert the volume of the flask from milliliters to liters:

500 mL = 0.500 L

Next, we can calculate the concentration of the solution:

concentration = 36. mol / 0.500 L

concentration = 72 mol/L

The concentration of the potassium permanganate solution is 72 mol/L. The answer has three significant figures because the volume of the flask has only one significant figure.

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Gram-negative bacteria appear as pink/red under the microscope after counterstaining with safranin. In conclusion, the appearance of a gram-negative bacteria cell after the addition of the decolorizing agent (ethyl alcohol) in the Gram stain is colorless.

The appearance of a gram-negative bacteria cell after the addition of the decolorizing agent (ethyl alcohol) in the Gram stain is colorless. Gram staining is a common microbiological method that is used to differentiate bacteria into two categories: Gram-positive and Gram-negative. This differentiation is based on differences in the composition of their cell walls. Gram staining is used to identify bacteria and fungi by staining the samples with crystal violet and iodine, then decolorizing with ethanol and counterstaining with safranin. This method helps to determine the presence or absence of a thick layer of peptidoglycan in the cell wall of bacteria. In Gram-negative bacteria, the decolorizing agent, ethyl alcohol, remove the outer membrane, causing the crystal violet stain to be removed from the cell wall, therefore resulting in a colorless appearance. The alcohol also increases the permeability of the thin peptidoglycan layer, which makes the safranin stain visible in the cell wall of the bacteria.

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Answer:

The balanced combustion reaction for toluene (C7H8) is:

C7H8 + 9O2 → 7CO2 + 4H2O + heat

Therefore, the correct option is A.

The correct balanced combustion reaction for toluene (C7H8) is 'C7H8 + 9O2 → 7CO2 + 4H2O + heat' which represents a combustion reaction where a substance reacts with oxygen to generate heat and form carbon dioxide and water.

The balanced combustion reaction for toluene (C7H8) is represented by the equation:

C7H8 + 9O2 → 7CO2 + 4H2O + heat

This is a combustion reaction, which typically involves a substance reacting with oxygen to generate heat and form carbon dioxide (CO2) and water (H2O). Here, toluene reacts with oxygen (O2), producing heat, carbon dioxide, and water. Therefore, the correct answer is A. C7H8 + 9O2→ 7CO2 + 4H2O + heat.

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Based on the types of intermolecular forces that are likely to be present, we can rank the given compounds from weakest to strongest intermolecular forces as follows: I₂, H₂S and H₂O.

The strength of intermolecular forces is determined by the type and extent of interactions between molecules. In general, the three major types of intermolecular forces are dispersion forces (also called London forces), dipole-dipole forces, and hydrogen bonding.

I₂: This is a nonpolar molecule, and the only intermolecular force present is dispersion forces, which arise from temporary fluctuations in electron density that create instantaneous dipoles. Dispersion forces are the weakest intermolecular forces, so I₂ has the weakest intermolecular forces among the given compounds.

H₂S: This is a polar molecule, and it exhibits dipole-dipole forces in addition to dispersion forces. Dipole-dipole forces arise from the attraction between the positive end of one molecule and the negative end of another. Although dipole-dipole forces are stronger than dispersion forces, they are still weaker than the next type of intermolecular force.

H₂O: This is a polar molecule that exhibits both dipole-dipole forces and hydrogen bonding. Hydrogen bonding is a special type of dipole-dipole force that arises when hydrogen atoms in molecules are bonded to highly electronegative atoms (such as oxygen or nitrogen). The hydrogen bond is a particularly strong intermolecular force, and as a result, H₂O has the strongest intermolecular forces among the given compounds.

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Answer:

lusterous metal

Explanation:

ex gold, iron etc hope it helps

The formula for Co3+ is Co3+ because it represents the ion of cobalt that has lost three electrons, leaving it with a 3+ charge.

What is chemical formula and how they are formed ?

A chemical formula is a symbolic representation of a chemical compound that shows the types of elements present in the compound and the relative number of atoms of each element. For example, the chemical formula for water is H2O, which indicates that it is made up of two hydrogen atoms and one oxygen atom.

Chemical formulas are formed by identifying the elements that make up a compound and determining the relative number of each element in the compound. The number of each element is represented by a subscript following the chemical symbol of the element. For example, the chemical formula for methane is CH4, which indicates that there is one carbon atom and four hydrogen atoms in each molecule of methane.

The formula for Se2- is Se2- because it represents the ion of selenium that has gained two electrons, giving it a 2- charge.

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The movement of airborne particles is caused by every vibrating item. This motion, which lasts until the particle runs out of power, produces sound waves.

The development of children includes sound from the time they are born. White noise, lullabies, and the voices of their parents are soothing to infants, and as they get older, other sounds aid in their connection and learning.

Plasma molecules of a air surrounding an item vibrate as a result. Nearby molecules that come into contact with these molecules vibrate as a result. They consequently run across additional air molecules in the area.

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The correct question is

Explain the importance of sound in our daily life .

Answer:  343 Celsius

Explanation:

Gay lussac law

T2=T1V2/V1  Temp must be in Kelvin

T2= 308.15 X 9.00 / 4.50 =616.30 K - 273.15 to get back in celsius

=343.15 C

Theoretically, 682.1 g of magnesium nitrate is produced.

Every sample of a substance will include an identical number of oxygen and magnesium atoms. The mass of an atom is divided by the compound's total mass, multiplied by 100, to determine the percent composition. We aim for an equal number of each sort of atom on both sides when balancing chemical equations. The coefficients are the only thing changed. The numbers in front of the molecule are the coefficients.

One mole of the chemical magnesium nitrate weighs 148.33 g. The periodic table lists the other atom masses. Therefore 16.39% Mg, 18.89% N, and 64.72%O make up the mass-percent composition. Mg (s) + O2 (g) MgO (s) is balanced as 2Mg (s) + O2 (g) 2MgO. (s).

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Answer:

The dependent variable would be the whitening of the teeth of the participants.

Explanation:

In comparison to 310.0 K, the reaction happens 1.28 times faster at 314 K.

A high K value (higher than 1) denotes an equilibrium with more products than reactants, whereas a low K value (less than 1) denotes an equilibrium with more reactants than products.

The Arrhenius equation, which connects the rate constant (k) to the activation energy (Ea) and temperature (T), can be used to determine how much faster the reaction happens at 314 K than it does at 310.0 K. k = A * exp(-Ea / (R * T))

where T is the temperature in Kelvin, R is the gas constant, and A is the preexponential factor.

For this reaction, we can assume that the pre-exponential component is fixed and that the sole variable is temperature.

exp[(Ea / R) * (1/T1 - 1/T2)] = k2 / k1

where Ea is the activation energy, R is the gas constant, k1 is the rate constant at 310.0 K, and k2 is the rate constant at 314 K.

k2 / k1 = exp[(50.0 kJ/mol / (8.314 J/mol•K)) * (1/310.0 K - 1/314 K)] is the result of substituting the provided numbers.

If we condense this phrase, we get:

k2 / k1 = 1.28

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Part 1: When a lightly inflated balloon is placed in a freezer, the temperature of the air molecules inside the balloon decreases. According to the kinetic molecular theory, the volume of a gas is directly proportional to its temperature. As the temperature of the air molecules inside the balloon decreases, the average kinetic energy of the air molecules also decreases, causing the gas to contract. This contraction leads to a decrease in the volume of the gas inside the balloon, which causes the balloon to shrink in size.

Part 2: If the balloon is instead kept outside in the sun for some time, the temperature of the air molecules inside the balloon will increase. According to the kinetic molecular theory, an increase in temperature leads to an increase in the average kinetic energy of the gas molecules, causing them to move faster and collide more frequently. This increased collision frequency leads to an increase in pressure, which causes the balloon to expand in size. Therefore, the balloon will most likely get bigger when it is exposed to the heat of the sun.

Answer:

simple answer

Explanation:

part 1: if the balloon's temperature decreases so does the air molecules within it. The gas contracts because it's in a seal place, causing the balloon to shrink.

part 2: the balloon is exposed to heat, so the temperature is obviously going to increase as well as the air molecules. Gas molecules are moving rapidly causing the balloon to expand.

The velocity of the water with an earlier velocity of 8 m/s will be 24 m/s in the small tube with an area of 4 cm², option C.

This is a problem involving the conservation of mass and the principle of continuity in fluid mechanics. According to the principle of continuity, the mass of a fluid flowing through any given section of a pipe must remain constant.

Using the given equation A₁v₁ = A₂v₂

A₁v₁ = A₂v₂

(12 cm²) (8 m/s) = (4 cm²) (v₂)

v₂ = (12 cm²) (8 m/s) / (4 cm²)

v₂ = 24 m/s.

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Taking into account the definition of Avogadro's Number, 7.2276×10²¹ moles of sugar are in 4 g of sugar.

Avogadro's number is the number of elementary entities (ie atoms, electrons, ions, molecules) that exist in one mole of any substance.

Its value is 6.023×10²³ particles per mole. Avogadro's number applies to any substance.

The molar mass of substance is a property defined as its mass per unit quantity of substance, in other words, it is the amount of mass that a substance contains in one mole.

First, the molar mass of sugar is 342 g/mole and the following rule of three can be applied: If by definition of molar mass 342 g of sugar are contained in 1 mole, 4 g of sugar are contained in how many moles of the compound?

moles of sugar= (4 g of sugar× 1 mole)÷342 g of sugar

moles of sugar= 0.012 moles

Now you can apply the following rule of three: 1 mole of the compound contains 6.023×10²³ molecules, 0.012 mole of the compound contains how many molecules?

amount of molecules= (6.023×10²³ molecules × 0.012 mole)÷ 1 mole

amount of molecules= 7.2276×10²¹ moles

Finally, 7.2276×10²¹ moles of sugar are present.

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