Problem 15 (Diffusion across a membrane) Consider potassium ions crossing a biological membrane 10 nm thick. The diffusion coefficient for potassium in the membrane is 1.0 x 10-16 m²/s. (a) What is the net number of potassium ions per second that will move across an area 100 nm x 100 nm if the concentration difference across the membrane is maintained at 0.50 mol/liter? Give your answer in units of numbers of ions. (b) How would the flux of potassium ions change if we increased the area? (c) How would the flux of potassium ions change if we increased the membrane thickness?

Answers

Answer 1

The net number of potassium ions per second that will move across the given area is approximately -3.011 x 10⁷ ions/s.

(a) To find the net number of potassium ions per second that will move across an area of 100 nm x 100 nm, we can use Fick's First Law of diffusion: J = -D * (dC/dx), where J is the flux, D is the diffusion coefficient, and dC/dx is the concentration gradient.

First, let's convert the concentration difference to SI units:

0.50 mol/liter = 0.50 mol/0.001 m³ = 500 mol/m³

Next, find the concentration gradient:

(dC/dx) = (500 mol/m³) / (10 x 10⁻⁹ m) = 5 x 10¹³ mol/m²

Now, calculate the flux:

J = -D * (dC/dx) = -(1.0 x 10⁻¹⁶ m²/s) * (5 x 10¹³ mol/m²) = -5 x 10⁻³ mol/m²s

We have the flux in terms of moles, so let's convert it to the number of ions using Avogadro's number (6.022 x 10²³ ions/mol):

-5 x 10⁻³ mol/m²s * (6.022 x 10²³ ions/mol) = -3.011 x 10²¹ ions/m²s

Finally, find the net number of ions crossing the given area:

Area = 100 nm x 100 nm = 10 x 10⁻⁹ m x 10 x 10⁻⁹ m = 10⁻¹⁴ m²

Net ions per second = flux * area = -3.011 x 10²¹ ions/m²s * 10⁻¹⁴ m² = -3.011 x 10⁷ ions/s

So, the net number of potassium ions per second that will move across the given area is approximately -3.011 x 10⁷ ions/s.

(b) If we increased the area, the flux of potassium ions would increase proportionally because a larger area allows for more ions to move across the membrane per unit of time.

(c) If we increased the membrane thickness, the flux of potassium ions would decrease because the ions would have to travel a greater distance to move across the membrane, slowing down the rate of diffusion.

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Related Questions

A proton has a __________ charge.
a. positive
b negative
c neutral

Answers

A proton has a ________ charge.
a. positive
The answer is positive.

How many protons, electrons, and neutrons are in calcium?

Answers

Answer:

20 protons , 20 electrons and 20 neutrons

An element found in groups 3-12 of the periodic table is classified as a[n]

Answers

Answer:

Transition Metals

Explanation:

Hope this helped :)

How did plastics become the material of choice for so many varied applications?

Answers

Answer:

people as: it Is less expensive. easy to carry

which is renewable energy source?
A) oil
B) coal
C) solar
D) natural gas
correct answer is C)

Answers

The renewable energy source among the options you provided is solar power (option C). Solar energy is derived from the sun and can be converted into electricity or used for heating and other applications. It is a clean and sustainable form of energy.

Answer:

The renewable energy source among the options you provided is solar power (option C). Solar energy is derived from the sun and can be converted into electricity or used for heating and other applications. It is a clean and sustainable form of energy.

Explanation:

4. After 15 minutes, another solution is added to the reaction flask and the % Transmittance returns to 100%. Did another reaction take place? Please explain your answer.​

Answers

Based on the graph and the information provided, it can be stated another solution took place as there is a change in the properties of the substance.

What is transmittance?

The word "transmittance" refers to the ratio or in this case the percentage of light that can pass through a substance of object. This concept implies that if the tranmittance is 100% is beceuse 100% of the light is passing through the sample and 0% is of the light is being absorbed by it. In the same way if the transmittance is 20% is because the solution has likely become more dense and 80% of the light is being absorbed.

What happened if the transmittance returns to 100%?

Considering the transmittance is directly related to concentration and density if there is a big change in the transmittance such as this returning to 100% it is likely because there was a chemical reaction that changed the properties (density) or concentrion of the sample.

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4. After 15 minutes, another solution is added to the reaction flask and the % Transmittance returns

00000044m
300000km/s
Both in scientific notation

Answers

Answer:

4.4 × 10^-7

3 × 10^5

Explanation:

scmack me wit dat brainliest

C₂H5OH +202 → 2CO2 + 3H₂O + 1367 kJ
What is the ratio between the energy and oxygen based on the equation?
-[?] kJ
[?]mol O2

Answers

The ratio between the energy and oxygen based on the equation is 683.5 KJ/mol

Data obtained from the questionEquation => C₂H₅OH + 2O₂ → 2CO₂ + 3H₂O + 1367 KJEnthalpy change (ΔH) = 1367 KJRatio of energy to oxygen =?

How to determine the ratio of energy to oxygen

From the equation, we obtained the following:

Energy = 1367 KJMole of O₂ = 2 moles

Thus, the ratio of energy to oxygen is given as:

Energy / Oxygen = 1367 / 2

Energy / Oxygen = 683.5 KJ/mol

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A student placed the TLC plate in the the developing chain such that the starting line was below the developing solvent level. Explain how this might impact the results.

Answers

Thin layer chromatography (TLC) is a straight forward chromatographic technique that is widely used in the laboratory for separating organic compounds. TLC is a fast and simple method for determining the degree of purity of a compound and its reaction products.

TLC plates should be positioned in the developing chamber with the sample applied at the origin, typically drawn onto the plate with a fine capillary tube. If a student puts the TLC plate in the developing chain such that the starting line is below the developing solvent level, it may affect the results. The developing solvent must be at the bottom of the plate for proper separation to occur.The mobile phase must cover the stationary phase and go up the plate for proper separation to occur.The solvent flow rate must be controlled for proper separation.The band of compounds may diffuse and broaden if the solvent level is too high or too low.The correct measurement of Rf values requires proper alignment of the TLC plate, such as having the origin line precisely at the solvent front.

Examples of how the results may be impacted are:-

The compounds will not separate properly if the plate is not placed properly.- If the origin line is not precisely at the solvent front, the Rf value of the compounds will be distorted.If the solvent front is not at the bottom of the TLC plate, the mobile phase will not properly rise through the stationary phase, causing a lack of separation between the compounds.If the mobile phase is too concentrated, it may dissolve the stationary phase, causing it to spread or not function at all.If the mobile phase is not the correct temperature, it may evaporate too quickly or too slowly, causing poor separation between the compounds.

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How do the colors work?

Answers

Explanation:

red, blue, yellow, white, black,

these are the primary colors. when mixed together they create other colors.

PLEASE HELP ME RIGHT ANSWERS ONLY!!!!!!! 40 POINTS :)
What does the result table indicate about the solute in this solution

PLEASE HELP ME RIGHT ANSWERS ONLY!!!!!!! 40 POINTS :)What does the result table indicate about the solute

Answers

The result table indicate that A. The solute is a SOLID because it has a DECREASE in the amount dissolved as temperature decreases.

What is describes solubility?

The solubility of a solid solute in a liquid solvent generally decreases as the temperature decreases. This is because the kinetic energy of the solute molecules decreases as the temperature decreases. As the kinetic energy of the solute molecules decreases, they are less likely to have enough energy to escape from the solution and enter the gas phase.

In the table, as the temperature decreases, the concentration of the solute in the solution decreases. This indicates that the solute is a solid and that the solubility of the solute decreases as the temperature decreases.

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Dipole-dipole interactions are (weaker than, stronger than, equal to) hydrogen bonds.

Dipole-dipole interactions are (weaker than, stronger than, equal to) hydrogen bonds.

Answers

Answer and Explanation:

Dipole-Dipole interactions are weaker than hydrogen bonds.

Hydrogen bonds are a form of dipole-dipole interactions, being the strongest form of dipole-dipole interactions.

#teamtrees #PAW (Plant And Water)

An isotope of nitrogen experiences the weak force which transforms one of its
protons to a neutron. How would this change the atom?
Select one:
O a. It would have no effect because nitrogen still has the same mass
number.
O b. It would transform the nitrogen atom to a carbon atom.
It would make the atom transform it into a heavier isotope of nitrogen.
O d. It would transform nitrogen to an oxygen atom.
Check

Answers

Answer:

It would transform the nitrogen atom to a carbon atom

Explanation:

Who's model was titted the atomic theory of matter"? *

Answers

Answer:

John Dalton

Explanation:

Answer:

John Dalton, an English chemist, inferred that atoms had certain characteristics. He began to propose an atomic the- ory and model for atoms. The main ideas of Dalton's theory are summarized in Figure 2. With only a few changes, Dalton's atomic theory is still accepted today.

Explanation:

Removing thermal energy from liquid water can cause it to change to what state? (Select all correct answers)

Group of answer choices

A liquid

B solid

C it doesn't change

D ice

Answers

C is the correct answer for this item

10. To what chemical reaction class does this reaction belong? 2 Mg( s ) + O 2 ( g ) ---> 2 MgO( s ) a. Combination b. Ion exchange c. Decomposition d. Replacement

Answers

The chemical reaction given, 2 Mg(s) + \(O_{2}\)(g) -> 2 MgO(s), belongs to the combination reaction class. This is because two or more substances (Mg and \(O_{2}\)) react to form a single product (MgO).

Ion exchange reactions involve the exchange of ions between two compounds and do not result in the formation of a new compound. Decomposition reactions involve the breakdown of a single compound into two or more simpler substances. Replacement reactions involve the replacement of an element in a compound by another element. However, in the given reaction, none of these processes occur.

The reaction 2 Mg(s) + \(O_{2}\)(g) -> 2 MgO(s) belongs to the combination reaction class. In a combination reaction, two or more elements or compounds react to form a single product. In this case, magnesium (Mg) and oxygen (\(O_{2}\)) combine to form magnesium oxide (MgO). This reaction is not an ion exchange, decomposition, or replacement reaction. An ion exchange involves swapping ions between two compounds, decomposition involves breaking down a compound into simpler substances, and replacement involves an element in a compound being replaced by another element.

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Represne the cell in which the following reaction takes place mg s +2ag(0.0001m)

Answers

The reaction between magnesium (Mg) and silver (Ag) takes place in a cell, specifically in the anode compartment.

In this reaction, magnesium (Mg) is oxidized to Mg2+ ions, while silver ions (Ag+) are reduced to solid silver (Ag). The reaction can be represented as follows:

Mg(s) + 2Ag+(0.0001M) → Mg2+(aq) + 2Ag(s)

The cell in which this reaction occurs consists of an anode and a cathode compartment. The anode is where the oxidation of magnesium takes place, and the cathode is where the reduction of silver ions occurs.

The anode compartment typically contains the solid magnesium (Mg) electrode, while the cathode compartment contains the silver (Ag) electrode. The two compartments are separated by an electrolyte solution that allows the flow of ions between them.

During the reaction, magnesium atoms lose electrons at the anode and form magnesium ions (Mg2+). These ions then migrate through the electrolyte solution to the cathode compartment. At the cathode, silver ions (Ag+) gain electrons and are reduced to form solid silver (Ag).

This electrochemical reaction is driven by the movement of electrons from the anode to the cathode through an external circuit, creating a flow of current. The cell in which this reaction takes place allows for the controlled and efficient conversion of chemical energy into electrical energy.

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(You do) If you have 47.2 mol of Na available, along with an excess of Cl₂, how many grams of NaCl can you produce?
Equation: 2Na+Cl2=2NaCl

Answers

Answer:

2,760 grams NaCl

Explanation:

To find grams of NaCl, you need to (1) convert moles of Na to moles of NaCl (via mole-to-mole ratio from reaction) and (2) convert moles of NaCl to grams (via molar mass from periodic table). The final answer should have 3 significant figures based on the given measurement.

2 Na + Cl₂ --> 2 NaCl

Molar Mass (NaCl) = 22.99 g/mol + 35.45 g/mol

Molar Mass (NaCl) = 58.44 g/mol

47.2 moles Na           2 moles NaCl              58.44 grams

----------------------  x  ---------------------------  x  -------------------------  =
                                   2 moles Na                   1 mole NaCl

= 2,758.368 grams NaCl

= 2,760 grams NaCl

A piece of iron has a mass of 35,342 grams. Iron has a density of 7.9 grams per cubic centimeter. Find the volume of the piece of iron to the nearest cubic centimeter.

Answers

The volume of the piece of iron to the nearest cubic centimeter is 4473.6 cubic centimeter.

Calculation of volume:-

density = mass / volume

volume = mass/ density

            =35342/ 7.9

            =4473.6 cubic centimeter

Describe density.

The density of a substance indicates how dense it is in a given area. Mass per unit volume is the definition of a material's density. In essence, density is a measurement of how closely stuff is packed. It is a particular physical characteristic of a specific thing. The Greek scientist Archimedes made the discovery of the density principle. If you are familiar with the formula and the relevant units, calculating density is simple. The letter D can also be used to signify density instead of the symbol.

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what is the wavelength (in nm) of light with a frequency of- ^^ see picture

what is the wavelength (in nm) of light with a frequency of- ^^ see picture

Answers

Frequency =6.75×10^14s^{-1}

\(\\ \sf\longmapsto \lambda=\dfrac{c}{v}\)

\(\\ \sf\longmapsto \lambda=\dfrac{3\times 10^8m/s}{6.75\times 10^{14}s^{-1}}\)

\(\\ \sf\longmapsto \lambda=0.444\times 10^{-6}m\)

\(\\ \sf\longmapsto \lambda=0.4\mu m\)

i think this is the answer 750 nm - 400 nm
what is the wavelength (in nm) of light with a frequency of- ^^ see picture

In what respect does 3s sub-Shell differ from 4s sub-shell?​

Answers

Answer:

in the energy and in the principal quantum number (n)

Explanation:

the energy of 3s sub-shell is less than 4s sub-shell

and the principal quantum number of 3s sub-shell (n)= 3 but the principal quantum number of 4s sub-shell (n) = 4

20 points for answer: D=m/v. Mass=30g and Volume=6mL

Answers

Answer:

density = 5 g/ml

Explanation:

D=m/v. Mass=30g and Volume=6mL

SO solve for D when m = 30 and v = 6

D=m/v

D = 30/6

density = 5 g/ml

Which one is NOT the name of a measurement system? (1 Point) International System of Units Metric System Spanish System British System

Answers

Spanish System is not the name of a measurement system.

WHAT IS A MEASUREMENT SYSTEM:

System of measurement refers to a collection of units of measurement and their corresponding rules. These systems are considered to be standard for measuring units.

The system of measurements recognized are as follows:

The international system of units (S.I units)The metric systemThe British imperial system

Therefore, the SPANISH system is not one of the measurement systems in use.

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which one is more soluble C12H22O11 or MgCl2 and why?​

Answers

Answer:

MgCl2

Explanation:

because of the salt containing Cl

A gas cylinder containing 6.38 mol of neon has a pressure of 491 mm Hg at 295 K. If 3.22 mol of helium is added to this cylinder, at constant temperature and volume, what will be the pressure in the cylinder

Answers

The pressure in the cylinder after adding the helium is 0.873 atm.

We can use the ideal gas law to solve this problem. The ideal gas law states that:

PV = nRT

Since the temperature and volume of the gas are constant, we can simplify the ideal gas law to:

P1V = n1RT

P2V = (n1 + n2)RT

where P1 is the initial pressure of the gas, n1 is the initial number of moles of gas (6.38 mol of neon), n2 is the number of moles of gas added (3.22 mol of helium), and P2 is the final pressure of the gas.

P2 = (n1 + n2)RT/V

   = [(6.38 mol) + (3.22 mol)] * (0.0821 L*atm/mol*K) * (295 K) / V

   = 9.60 atm / V

To find V, we can use the fact that the volume is constant:

P1V = P2V

V = P1V/P2

 = (491 mm Hg) * (1 atm/760 mm Hg) * (22.4 L) / (9.60 atm)

 = 11.0 L

Now we can substitute V = 11.0 L into the expression for P2:

P2 = 9.60 atm / 11.0 L

   = 0.873 atm

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what is the equation for calculating density?

Answers

the equation for calculating density is m÷v

List the steps in chronological order concerning how to write an abbreviated electron configuration for an element. This first step belongs at the top of the list.

Answers

Here are the steps in chronological order concerning how to write an abbreviated electron configuration for an element:

1. Determine the atomic number of the element. This is the number of protons in the nucleus of the atom and is usually found on the periodic table.

2. Write the symbol of the previous noble gas in brackets. This represents the electron configuration of the noble gas, which is the closest complete energy level below the element in question.

3. Write the configuration for the remaining electrons after the noble gas. This is done by writing the number of electrons in each subshell, followed by the letter that represents the subshell (s, p, d, or f), and then a superscript to indicate the number of electrons in that subshell.

Check that the total number of electrons in the abbreviated configuration matches the atomic number of the element.

For example, to write the abbreviated electron configuration for oxygen (O), we would follow these steps:

The atomic number of oxygen is 8.The previous noble gas is helium (He), which has an electron configuration of 1s^2. We write this as [He].The remaining electrons in oxygen occupy the 2s and 2p subshells. There are 6 electrons in total, with 2 in the 2s subshell and 4 in the 2p subshell. We write this as 2s^2 2p^4.

Checking the total number of electrons, we have 2 + 4 = 6, which matches the atomic number of oxygen.

This way, you can write an abbreviated electron configuration for an element.

.

what volume of propane () is required to produce 75.3 liters of water according to the following reaction? (all gases are at the same temperature and pressure.) volume

Answers

Approximately 19.68 liters of propane is required to produce 75.3 liters of water according to the given reaction.

To find out how much propane \((C_3H_8)\) is needed to produce 75.3 liters of water \((H_2O)\) according to the reaction described, we must first balance the equation:

\(C_3H_8 + 5O_2 --- > 3CO_2 + 4H_2O\)

The balanced equation shows that for every 4 moles of water produced, 1 mole of propane is consumed. As a result, we must first determine the moles of water and then use stoichiometry to convert those moles to moles of propane.

Given:

Volume of water = 75.3 liters

To calculate the moles of water, we can use the ideal gas law:

PV = nRT

We can rearrange the equation to find the value of n (moles), assuming the gases are at the same temperature and pressure:

n = PV / RT

Where:

P is the pressure (in atm)

V is the volume (in liters)

R is the ideal gas constant (0.0821 L·atm/(mol·K))

T is the temperature (in Kelvin)

Let's assume that the temperature is always 298 Kelvin or 25 °C. Additionally, since the question doesn't specify the pressure, we'll assume it's 1 atm, which is normal atmospheric pressure.

We can calculate the moles of water using these values:

n\((H_2O)\) = (75.3 L * 1 atm) / (0.0821 L·atm/(mol·K) * 298 K) = 3.229 moles

The stoichiometry of the balanced equation states that for every 1 mole of propane used, 4 moles of water are formed. As a result, the required moles of propane can be determined as follows:

n\((C_3H_8)\) = (3.229 moles \(H_2O\)) / (4 moles \(C_3H_8\)) = 0.807 moles \(C_3H_8\)

Now, we can convert the moles of propane to volume using the ideal gas law:

V = nRT / P

We can determine the amount of propane using the same temperature and pressure as before:

V\((C_3H_8)\) = (0.807 moles * 0.0821 L·atm/(mol·K) * 298 K) / (1 atm) ≈ 19.68 liters

Therefore, approximately 19.68 liters of propane is required to produce 75.3 liters of water according to the given reaction.

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Give Reason. Oxygen is a diatomic element.​

Answers

The existence of Oxygen as a diatomic element is as a result of the presence of 6 Valence electrons and as such, there's a need for a second atom in a bid to donate 2 electrons each in a covalent bond.

Oxygen, O2 is a diatomic element.

The element, Oxygen with atomic number 8, mass number 16 and electron configuration:

1s² 2s² 2p⁴

exists as a diatomic element.

The reason for this is because an Oxygen atom has 6 Valence electrons.

As such, it is 2 electrons short of it's octet state which requires 8 electrons.

This phenomenon above is therefore the reason why two oxygen atoms come together in a bid to share 2 out their six Valence electrons so that each atom attains an octet state.

Ultimately, the element Oxygen is a diatomic element and exists as O2.

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The roller coaster is your favorite ride! But the line is always long! Having just studied potential and kinetic energy in physics, you evaluate the energy changes of the cars as they move on the tracks. Compare the potential energy of the cars if they are stopped at points A to point D.

Answers

The comparison of the potential energy of the cars if they are stopped at points A to point D is C. Potential energy is stored energy, point D is taller so it has more stored energy.

What is a potential energy?

Potential energy is the energy held by an object as a result of its position relative to other objects, internal stresses, electric charge, or other factors. Because any object lifted from its resting position has stored energy, it is referred to as potential energy because it has the potential to do work when released.

Kinetic energy is the energy that an object has as a result of its movement. If we want to accelerate an object, we must apply force to it. Using force requires us to put in effort. After work is completed, energy is transferred to the object, and the object moves at a new constant speed.

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The roller coaster is your favorite ride! but the line is always long! having just studied potential and kinetic energy in physics, you evaluate the energy changes of the cars as they move on the tracks. Compare the potential energy of the cars if they are stopped at points A to point D.

A. Neither have potential energy.

B. The potential energy is the same.

C. Potential energy is greatest at point D.

D. Potential energy is greatest at point A.

The roller coaster is your favorite ride! But the line is always long! Having just studied potential
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