one mole of an ideal gas expands reversibly and isothermally at temperature t until its volume is doubled. the change of entropy of this gas for this process is:

Answers

Answer 1

The change of entropy for one mole of an ideal gas expanding reversibly and isothermally until its volume is doubled is equal to the gas constant (R) multiplied by the natural logarithm of 2.

]The change of entropy (ΔS) for one mole of an ideal gas that expands reversibly and isothermally at temperature T, with its volume doubling, is given by the formula: ΔS = nR ln(V2/V1). In this case, n = 1 mole, V2 = 2V1, and T remains constant.

To calculate the change of entropy for this specific process, we will use the given conditions and the formula mentioned above. As the process is isothermal, the temperature (T) remains constant throughout the process. Moreover, the process is reversible, which means that the gas is in equilibrium with its surroundings at every point of expansion. The volume of the gas doubles, so the final volume (V2) is twice the initial volume (V1).

Using the formula ΔS = nR ln(V2/V1), we can substitute the given values:
ΔS = (1 mole) * R * ln(2V1/V1).

Since V2 = 2V1, the formula simplifies to:
ΔS = R * ln(2).

Thus, the change of entropy for one mole of an ideal gas expanding reversibly and isothermally until its volume is doubled is equal to the gas constant (R) multiplied by the natural logarithm of 2.

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Related Questions

Which element has a violent reaction when combined with cold water ?____
Base your answers to the following questions on the electron configurations below:
(A)2s1
(B)[Ar] 3d104s24p1
(C)[Kr] 4d105s25p3
(D)[Ne] 3s2
(E)[Kr]4d105s25p6

Answers

The element with electronic configuration 2s1, which is lithium, has a violent reaction with cold water.

The most reactive metals in the periodic table are the alkali metals (Li, Na, K, Rb, Cs, and Fr); they all react with cold water violently or even explosively, displacing hydrogen. In the reduction of water to hydrogen gas (H2) and the metal ion hydroxide (OH), Group 1 Metal (M) is oxidised to its metal ions.

The second most reactive metals in the periodic table are the alkaline earth metals (Be, Mg, Ca, Sr, Ba, and Ra), which also exhibit increased reactivity in higher periods like the Group 1 metals. The only alkaline earth metal that does not react with water or steam, even when heated to a high temperature, is beryllium (Be).  Furthermore, beryllium has an exterior oxide layer that is robust, which reduces its reactivity at lower temperatures.

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what 2 things do you ask yourself to identify an igneous rock? *
O what is the shape and size?
O what is the hardness and color?
O what is the color and texture?
O what is the texture and hardness?

Answers

Answer:

DONT CLICK THE LINK

Explanation:

that is a spam bot

In a mixture of noble gases, neon has a mole fraction of 0.5, argon has a mole fraction of 0.3, and xenon has a mole fraction of 0.2. which gas will have the greatest partial pressure?

Answers

Neon gas would have the largest partial pressure among the mixture of noble gases based on Dalton’s law of partial pressure and ideal gas law.

By understanding Dalton’s law of partial pressure and ideal gas law, the relationship between the mole fraction and partial pressure can be determined. Dalton’s law of partial pressure states that the total pressure of the mixture of gases is just the same as the pressures that each gas would exert if it were present alone (Chang and Goldsby, 2013).

Ideal Gas Law: P= nRT/V

Let: partial pressure = p and total pressure=P

p_neon + p_argon + p_xenon = P

(n_neon)(RT/V) + (n_argon)(RT/V) +(n_xenon)(RT/V)= (n_total)(RT/V)

Mole fraction is the dimensionless number that expresses the ratio of the number of moles of a specific substance to the number of moles of all the components. Mole fraction can also be equal to the ratio of partial pressure and total pressure.

Mole fraction of neon (x_neon) = p_neon / P

x_neon = (n_neon)(RT/V)/(n_total)(RT/V)

x_neon = (n_neon)/(n_total)

Therefore, the partial pressure of a component is directly proportional to its mole fraction. This means that the higher the mole fraction, the higher the partial pressure is.

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The ph of a sports drink can be as low as 2.38. (Such a acidic drink can be harmful to your teeth) what is the hydronium concentration?

Answers

The concentration of the hydronium ion is found to be 4.2 * 10^-3 .

What is the hydronium ion concentration?

We have to note that the hydronium ion is the ion that must be found in an acid according to the Arrhenius definition. He saw an acid as the kind of compound that would have the hydronium ion as its only positive ion in the solution.

We know that;

Concentration of the hydronium ion = Antilog (-2.38)

= 4.2 * 10^-3

It would have a concentration of about the magnitude of 4.2 * 10^-3 .

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Consider the unbalanced equation for the oxidation of butene. C4H8 + 6O2 Right arrow. CO2 + H2O For each molecule of C4H8 that reacts, how many molecules of carbon dioxide and water are produced? Group of answer choices 2 CO2 & 2 H2O 4 CO2 & 4 H2O 2 CO2 & 4 H2O 4 CO2 & 2 H2O

Answers

Answer is C4H8 + 6O2 —> 4CO2 + 4H2O

Comparing the grams of each reactant needed to the number of grams actually used in the lab, the limiting reaction is _______ and the excess reaction is _________.

Comparing the grams of each reactant needed to the number of grams actually used in the lab, the limiting

Answers

Answer:

The limiting reactant is the reactant that is completely consumed first in a chemical reaction and the excess reactant is the reactant that remains after the limiting reactant is used up.

Select all of the following molecules that are capable of acting as hydrogen bond donors Group of answer choices Hydrogen fluoride (H-F) Hydrogen bromide (H-Br) Ammonia (NH3) Difluoromethane (CH2F2) Ethanol (CH3CH2OH) Water (H2O) Diethyl ether (CH3CH2-O-CH2CH3) Formaldehyde (H2-C

Answers

Hydrogen bonding is a sort of intermolecular bonding that takes place when a hydrogen atom is covalently bonded to a highly electronegative atom, such as nitrogen, oxygen, or fluorine.

As a result of the electronegativity difference, the hydrogen atom acquires a partial positive charge, whereas the electronegative atom acquires a partial negative charge. Hydrogen bonds are created between these oppositely charged regions and are weaker than covalent bonds but stronger than van der Waals interactions. The presence of a hydrogen bond donor and a hydrogen bond acceptor is necessary for hydrogen bonding to occur.

A hydrogen bond donor is a molecule that has a hydrogen atom bonded to a highly electronegative atom and is capable of forming hydrogen bonds, whereas a hydrogen bond acceptor is a molecule that is capable of forming hydrogen bonds with a donor molecule's hydrogen atom. Out of the provided molecules, the following are capable of acting as hydrogen bond donors: Ammonia (NH3)Ethanol (CH3CH2OH)Water (H2O)Formaldehyde (H2-C=O)

In conclusion, molecules capable of acting as hydrogen bond donors are Ammonia, Ethanol, Water, and Formaldehyde.

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the process of making the nonessential amino acids from essential amino acids is called

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The process of synthesizing nonessential amino acids from essential amino acids is known as transamination or amination.

Transamination is a biochemical process that happens among the cells, mainly in the cytoplasm and mitochondria. While transamination, The amino group from an important amino acid is delivered to a keto acid, making a nonessential amino acid.

The enzyme responsible for making transamination is known as transaminase or aminotransferase. This enzyme catalyzes the transmission of the amino group from the main amino acid to the keto acid, resulting in formation of the nonessential amino acid.

The nonessential amino acids are important for many physiological functions in the body, containing  protein synthesis, cellular metabolism, and the making of vital molecules mainly neurotransmitters and hormones. The capacity to synthesize nonessential amino acids from essential amino acids allows the body to create a balanced pool of amino acids and reach its metabolic needs.

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Which daughter element is produced from the beta decay of 145/56 Ba?

Answers

The daughter element is produced from the beta decay of ¹⁴⁵₅₆Ba is ¹⁴⁵₅₇La.

What are beta particles?

A beta particle is emitted from the nucleus of an atom during radioactive decay. The electron, however, occupies regions outside the nucleus of an atom.

Beta particle has no mass and minus charge on itself.

Radioactive decay equation for the Barium is shown as follow:

¹⁴⁵₅₆Ba → ¹⁴⁵₅₇La + °₋₁β

The daughter element which is produced from the from reaction is Lanthanum.

Hence, ¹⁴⁵₅₇La is the daughter element.

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the third law of thermodynamics describes the entropy of a: select the correct answer below: solid liquid gas all of the above

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The third law of thermodynamics describes the entropy of a: solid.

The third law of thermodynamics states that the entropy of a pure crystalline substance approaches zero as the temperature approaches absolute zero (0 Kelvin or -273.15 degrees Celsius). This law implies that at absolute zero, a perfectly ordered and pure crystalline solid will have zero entropy.

The third law of thermodynamics is not specific to liquids or gases but applies to solids. In a solid, the molecules are highly ordered and have fixed positions in a regular lattice structure. As the temperature decreases towards absolute zero, the thermal motion of the molecules reduces, and the system becomes more ordered, resulting in a decrease in entropy.

In contrast, liquids and gases have higher entropy compared to solids at absolute zero because their molecules have more freedom of movement and are not as tightly arranged. Therefore, the third law of thermodynamics specifically addresses the entropy of solids and does not apply to liquids or gases.

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Based upon the quantitative data, what two elution fractions would be the best to pool together for application to a subsequent column (like an ion exchange or gel filtration column)?

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The best two elution fractions to pool together for the application to a subsequent column would be the ones with the highest protein concentrations, regardless of whether they are adjacent to each other or not.

Based on the quantitative data, the best two elution fractions to pool together for the application to a subsequent column would be the fractions that have the highest protein concentration. This would ensure that the subsequent column would be able to effectively purify the desired protein.

In order to determine the best two elution fractions to pool together, you would need to look at the data for each fraction and compare the protein concentrations. The fractions with the highest protein concentrations would be the best ones to pool together for the application to a subsequent column.

It is important to note that the best two elution fractions may not necessarily be adjacent to each other. For example, if the data showed that fraction 2 had the highest protein concentration and fraction 5 had the second highest protein concentration, these would be the best two elution fractions to pool together, even though they are not next to each other.
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the model of an atom is consistently undergoing changes. these changes are based on new information being found. which model had the protons and the neutrons of the atom in the middle with the electrons orbiting around them with the ability to jump energy levels?

Answers

As per the Bohr model, frequently alluded to as a planetary model, the electrons circle the core of the molecule in unambiguous passable ways called circles. At the point when the electron is in one of these circles, its energy is fixed.

The fundamental contrast between the Thomson and Rutherford nuclear models is that the Thomson model contains no data about the core of a particle, while the Rutherford model does. J.J. Thomson was quick to find the electron, a subatomic molecule, in 1904. Each particle has a focal, emphatically charged core that is tiny however huge. The core is comprised of positive protons and nonpartisan neutrons. Electrons rotate around the core in permitted circles. An immense measure of void space inside an iota. The electron cloud model best addresses our ongoing comprehension of nuclear construction. The electron cloud model depicts the iota as containing a thick core of protons and neutrons encompassed by districts of room (mists) where electrons are probably going to be found.

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please help asap! last box, i know the functional group name is amide.

please help asap! last box, i know the functional group name is amide.

Answers

The amide group has the amine moiety and the carboxylic moiety.

What is the amide functional group?

An amide functional group is a molecule composed of a nitrogen atom bonded to a carbon atom, with the formula -CONH-. It is commonly found in organic compounds such as proteins and synthetic polymers.

We can now see that the chain that came form the carboxyl group is the alky chain of the amide moiety that is in the compound that have been shown in the image attached in the question that have been given above.

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an archaeologist discovers an ancient wooden bowl. which isotope would most likely be used to determine its age?

a. carbon-12
b. carbon-14
c. uranium-238
d. oxygen-16

please and thank you to anyone who may know the answer.​

Answers

Answer:

B

Explanation:

A spring running horizontally has areas with the coils closer together and areas with them farther apart. A label A points to areas where they are closer together. A label B points to areas where they are farther apart. A label C sits near a bracket connecting the center of two successive areas with the coils farther apart, which are separated by an area of closer coils. Label the parts of the longitudinal wave. Compressions: Rarefactions: Wavelength:

Answers

Answer: A,B,C

Explanation:

Answer:

a

b

c

Explanation:

edge

what would happen if a new species plant or animal were to be introduced to the aquitic biome how would it affect the balence of the ecosystem and would the new spieses survive?

Answers

Explanation:    The relocation of organisms across geographical boundaries occurs naturally by various means. Since humans began exploring the globe, however, the rate of new species being introduced into regions has greatly increased. In some cases, humans have dispersed species on purpose; for instance, many plants were transported from Europe to North America for agricultural and ornamental purposes. Others were transported accidentally by ship, train, airplane - even on the shoes of hikers.

     Some species may be introduced and not be able to survive in their new habitat. Others may find optimal conditions for growing, reproducing, and adapting to the new environment, and their populations soar. For instance, lack of predators may contribute to their rapid population increases.

why does a new flu shot need to be made each year ?

Answers

because we could be sick if don't get the shot there is a higher chance to have the flu

the flu virus constantly mutates itself to try and make itself immune so it could keep attacking. the human body’s immune system also slowly declines over time.

i hope this helps you!

which of the following statements correctly describe a resonance hybrid? select all that apply.multiple select question.the true structure of the resonance hybrid is the structure of the most stable contributor.the resonance hybrid is stabilized due to delocalization of electrons.a resonance hybrid rapidly interconverts between the possible resonance forms.equivalent resonance forms contribute equally to the overall structure of the hybrid.a resonance hybrid has a single structure.

Answers

The most stable contributor's structure is the genuine structure of the resonance hybrid. The delocalization of electrons is what stabilizes the resonance hybrid. The potential resonance forms are quickly interconverted by a resonance hybrid.

Equivalent resonance types equally contribute to the hybrid's overall structure. Consider the resonance hybrid structure of a carboxylate group as an example. Different resonance contributors do not always contribute equally to the hybrid structure until they are equivalent to one another in terms of stability, as is the case for the carboxylate group, which has equivalent contributions from A and B as shown in the given figure. One resonance structure will more closely resemble the “actual” (hybrid) structure than another if it is more stable (lower in energy) than the other.

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which of the following statements correctly describe a resonance hybrid? select all that apply.multiple

PLEASE ANSWER I WILL GIVE BRAINLIEST
What are the two main ways that waves can cause weathering and erosion?

A.
force and deposition

B.
cracking and smacking

C.
impact and abrasion

D.
abrasion and plucking

Answers

Answer:

its A

Explanation:

the chemical bonding in sodium phosphate na3po4 is classified as____

Answers

The chemical bonding in sodium phosphate (Na₃PO₄) is classified as ionic bonding.

What is ionic bonding?

Ionic bonding is a form of chemical connection in which one atom loses valence electrons and gains them from another.

Also, ionic bond, also called electrovalent bond, is type of linkage formed from the electrostatic attraction between oppositely charged ions in a chemical compound.

Thus, the chemical bonding in sodium phosphate (Na₃PO₄) is classified as ionic bonding, because sodium phosphate is composed of sodium ions (Na⁺) and phosphate ions (PO₄³⁻).

So the answer that fills the blank is ionic bond.

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Using chemical equations, show how the triprotic acid h3po4 ionizes in water. p

Answers

The chemical equation for the ionization of triprotic acid H₃PO₄ in water: H₃PO₄ + H₂O ↔ H₃O⁺ + H₂PO₄⁻.

The equation above shows that H₃PO₄ reacts with water (H₂O) to form hydronium ions (H₃O⁺) and the dihydrogen phosphate ion (H₂PO₄⁻). This reaction occurs in three stages, as H₃PO₄ is a triprotic acid, meaning it can donate three hydrogen ions (protons) to water molecules.

The ionization of H₃PO₄ occurs in a step-wise manner:

1. The first proton is donated to a water molecule, forming H₃O⁺ and the hydrogen phosphate ion (HPO₄²⁻):
H₃PO₄ + H₂O ↔ H₃O⁺ + HPO₄²⁻

2. The second proton is donated to another water molecule, forming H₃O⁺ and the phosphate ion (PO₄³⁻):
HPO₄²⁻ + H₂O ↔ H₃O⁺ + PO₄³⁻

3. The third proton is donated to a third water molecule, forming H₃O⁺ and another hydrogen phosphate ion:
PO₄³⁻ + H₂O ↔ H₃O⁺ + H₂PO₄⁻

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What is the correct name for the compound H2O

Answers

Answer:

The common name for the compound H2O is water.

Explanation:

The systemic name of H2O is Dihydrogen monoxide.

Answer:

water

Explanation:


1. What organisms keeps the ecosystem going but you can't see them with the naked eye?

Answers

Answer:

The answer is bacteria (microorganisms)

Explanation:

Bacteria can't be seen with the naked eye but it's part of a species that make up the biodiversity.

What are hydrogen bonds?

Answers

Answer:

interaction involving a hydrogen atom located between a pair of other atoms having a high affinity for electrons

Explanation:

what is causing the marshmallow to change their sate of matter

Answers

Answer:

Any form of semi high energy waves cause the water molecules inside the marshmallow to vibrate which heat and soften the sugar matrix inside the marshmallow. The weakened sugar matrix allows air bubbles within the marshmallow to expand rapidly and the marshmallow puffs up and becomes goo. If this proccess is repeated it can completly change it's state of matter.

Explanation:

Explain why a climax community is not always a forest.

Answers

They are all in forest climax means forest

This graph illustrates the course of a chemical reaction with and without an enzyme. While the products and reactants are the same, the presence of an enzyme changes the amount of energy required for the reaction to begi

Answers

Red curve shows the course of the reaction in the presence of an enzyme. Line a represents the activation energy for that reaction.

Hence, Option (iv) is correct answer.

What is Activation Energy ?

Activation energy is the minimum energy required an input of energy to initiate the reaction.

\(k = Ae^{\frac{-E_a}{RT}}\)

where,

k = rate constant

A = pre-exponential factor

Eₐ = activation energy

R = universal gas constant

T = absolute temperature (in K)

Activation energy = Threshold energy - Energy of colliding molecule.

Thus from the above conclusion we can say that Red curve shows the course of the reaction in the presence of an enzyme. Line a represents the activation energy for that reaction.

Hence, Option (iv) is correct answer.

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Disclaimer: The question was given incomplete on the portal. Here is the complete question.

Question: This graph illustrates the course of a chemical reaction with and without an enzyme. While the products and reactants are the same, the presence of an enzyme changes the amount of energy required for the reaction to begin.

Part A - Interpreting the graph

Which curve shows the course of the reaction in the presence of an enzyme--the black curve or the red curve? Which line represents the activation energy for that reaction--a, b, or c?

(i) a black curve; line a

(ii) black curve; line b

(iii) black curve; line c

(iv) red curve; line a

(v) red curve; line b

(vi) red curve; line c

This graph illustrates the course of a chemical reaction with and without an enzyme. While the products

calculate the volume of a stock solution, in liters and to the thousandths place, that has a concentration of 0.400 m koh and is diluted to 3.00 l of 0.130 m koh

Answers

The volume of the stock solution is approximately 0.975 liters, to the thousandths place.

To calculate the volume of the stock solution, you can use the dilution formula:

C₁V₁ = C₂V₂

where:
C₁ = concentration of the stock solution (0.400 M KOH)
V₁ = volume of the stock solution (unknown, in liters)
C₂ = concentration of the diluted solution (0.130 M KOH)
V₂ = volume of the diluted solution (3.00 L)

Rearrange the formula to solve for V1:

V1 = C₂V₂ / C₁

Now, plug in the given values:

V₁ = (0.130 M KOH * 3.00 L) / 0.400 M KOH

V₁ ≈ 0.975 L
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what mass (in g) of agci is formed from the re action of 75.0 ml of a 0.078 m agc2h302 solution with 55.0 ml of 0.109 m mgci) solution?

Answers

Total, 0.838 g of AgCl is formed from the reaction of 75.0 ml of a 0.078 m AgC₂H₃0₂ solution with 55.0 ml of 0.109 m MgCl) solution.

The balanced chemical equation for the reaction between AgC₂H₃O₂ and MgCl₂ is;

AgC₂H₃O₂ + MgCl₂ → AgCl + Mg(C₂H₃O₂)₂

To find the mass of AgCl formed, we need to determine the limiting reactant first.

From the balanced chemical equation, we can see that 1 mole of AgC₂H₃O₂ reacts with 1 mole of MgCl₂ to produce 1 mole of AgCl. Therefore, we can use the following equation to determine the number of moles of AgCl formed;

moles of AgCl = (volume of AgC₂H₃O₂ solution in L) x (molarity of AgC₂H₃O₂ solution) x 1 (since the stoichiometry is 1:1:1)

moles of AgCl = (75.0 mL x 1 L/1000 mL) x (0.078 mol/L) x 1 = 0.00585 mol

moles of MgCl₂ = (volume of MgCl₂ solution in L) x (molarity of MgCl₂ solution)

moles of MgCl₂ = (55.0 mL x 1 L/1000 mL) x (0.109 mol/L)

= 0.0060 mol

Based on the stoichiometry of the balanced chemical equation, we can see that AgC₂H₃O₂ is the limiting reactant since it produces less AgCl than MgCl₂.

The molar mass of AgCl is 143.32 g/mol.

mass of AgCl = (moles of AgCl) x (molar mass of AgCl)

mass of AgCl = 0.00585 mol x 143.32 g/mol

= 0.838 g

Therefore, 0.838 g of silver chloride (AgCl) is formed from the reaction.

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Glass is an amorphous solid. Which statement best describes how particles
are arranged in glass?
O A. Cations are arranged in a regular pattern and surrounded by a sea
of electrons.
OB. Atoms are held together in an irregular way.
OC. Glass molecules are held together in a regular pattern.
OD. Glass molecules are held together in an irregular way by ionic
attractions.

Answers

glass molucules are randomly arranged so either B or D

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Both his grandparents and parents were born in the United States. Neither he nor his parents have learned Spanish and he does not often think of his heritage. Most of his friends do not think of him as Hispanic or Latino. However, on Cinco de Mayo, Marco likes to go out and celebrate by eating Mexican food and wearing a sombrero. Marco's relationship with his ethnicity can be described as Select one: a. situational b. symbolic C. institutional d. conscious Question 24 Not yet answered Marked out of 1 P Flag question Laura is a married mother of three who works a full-time job. She drops her kids off at school every day at 7:30 A.M., arrives at the office at 8 A.M., works until 4 P.M., and then drives to pick up her kids from after-school care at 4:30 P.M. She gets home around the same time as her husband, who works a full-time job from 9 A.M. until 5 P.M. He expects that she will have dinner ready for the family by 6 P.M. From 7 to 9 P.M., Laura usually does housework and reads to the children. What sociological concept does Laura's situation exemplify? Select one: a. cisgenderism O b. feminization of poverty O c. heteronormativity d. second shift Ose Question 23 Not yet answered Marked out oft Flag question Denise is a single mother of three who works a full-time job cleaning an office building. She makes $9 per hour and has to piece together child care for two of her children who are not yet in school, often paying neighbors in cash to watch her children. Despite her full-time employment, her family is struggling to survive. What sociological concept does Denise's situation exemplify? Select one: a. feminization of poverty O b. heteronormativity C. second shift d. cisgenderism A Helping Hand? Media Mix: Education STOCKHOLM, Sweden (Achieve3000, August 2, 2017). The syringe slides in between the worker's thumb and index finger. With a click, a microchip is injected, and just like that, another on-the-job "cyborg" is created. This isn't taking place on the pages of a dystopian science fiction novel; this isn't The Giver, Brave New World, or Fahrenheit 451. It's happening at the real-life headquarters of Epicenter Stockholm, an office hub for startup companies in Sweden. Since January 2015, Epicenter has implanted willing workers with microchips that are about the size of grains of rice. The implanted chips work like swipe cards; they're used to open doors without inserting keys, operate printers without pushing buttons, and even purchase smoothies without reaching for credit cards. Completing these everyday tasks requires the mere wave of employees' microchipped hands. Having high-tech capabilities within human hands may be fascinating, but the idea isn't new. Such microchips are already often implanted in pets. They can be scanned to provide information if the animals are separated from their owners. Some companies use microchips to track deliveries. However, the technology has never been used to tag employees on a broad scale before. In fact, Epicenter is one of the first companies in the world to make chip implants broadly available in this way. As of April 2017, it had implanted about 150 workers. "The biggest benefitis convenience," said Patrick Mesterton. Mesterton is Epicenter's cofounder and CEO. "It basically replaces a lot of things you have, other communication devices, whether [they] be credit cards or keys." As a demonstration, Mesterton unlocks a door by simply waving his hand near it. The magic that Mesterton seems to demonstrate is made possible by a type of technology known as Radio-Frequency Identification (RFID). It's the same technology in contactless credit cards or smartphone payment apps. When activated by a reader a short distance away, a small amount of d Please help! ive been stuck on this for over 10 minutes. n/n-5 = 4/6please help mr. greenjeans has three children; jill, thorn, and mary. in the final stages of his life, mr. greenjeans moves in with mary and she takes care of him until he dies. when the will is read, to their surprise, jill and thorn have been removed from the will and all of the proceeds of the estate now go to mary. irate, jill and thorn go to a lawyer and challenge the validity of the will. this is an example of :