determine the mass of naoh that is necessary to neutralize 1.25 l of 0.525 m h3po4. a. 26.3 g naoh b. 39.4 g naoh c. 78.8 g naoh d. 286 g naoh e. 312 g naoh

Answers

Answer 1

The mass of NAOH necessary to neutralize 1.25l of0.525m H3PO4 is 78.8g.

what is NAOH?

The inorganic compound NaOH is sodium hydroxide, sometimes referred to as lye and caustic soda. The sodium cations Na+ and the hydroxide anions OH make up this white solid ionic combination.

Proteins are broken down by sodium hydroxide, a very caustic base and alkali that can result in serious chemical burns and is extremely reactive with proteins at room temperature. Easily absorbing moisture and carbon dioxide from the air, it is extremely soluble in water. NaOH and nH2O are formed in a sequence.

 Water solutions between 12.3 and 61.8 °C crystallize the monohydrate NaOH, H2O. This monohydrate is frequently the "sodium hydroxide" sold commercially; therefore, the anhydrous compound may not always be used when referencing it in published data.

Volume of H3PO4 =1.25l

Number of moles of H3PO4=0.525*1.25=0.66moles of H3PO4

NAOH is used to neutralize the solution.

H3PO4+3NAOH ⇒ NA3PO4+H2O

3 moles of NAOH react with one mole of H3PO3. So, the number of moles of NAOH is equal to 3 times of number of moles of H3PO4

Number of moles of NAOH= 0.66×3=1.98moles

Mass of an object= number of moles ×molar mass

                              =1.98×40

                              = 78.8g

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Related Questions

Do alkanes react readily with bromine?

Answers

Answer:

yes

Explanation:

carbon monoxide is a toxic gas. if a container that holds 0.625 mol of co with a volume of 14.0 l was later found with a volume of 8.01 l at the same pressure and temperature, how many moles of co

Answers

moles of carbon monoxide is 0.277 moles.

If a container of of 14.0l Hold 0.6725mol.

[tex]n_{1\\}[/tex] = 0.625i

[tex]v_{1}[/tex] = 14.0l

container 2; [tex]v_{2}[/tex] = 8.01l;

let [tex]n_{2}[/tex] be find moles at constant pressure and temperature by Ideal gas equation,

[tex]\frac{v_{1} }{n_{1} }[/tex] = [tex]\frac{v_{2} }{n_{2} }[/tex]

[tex]\frac{14}{0.625}[/tex] = [tex]\frac{8.01}{n_{2} }[/tex]

[tex]n_{2}[/tex] = 0.358 moles

hence, moles of carbon monoxide escaped

=0.625-0.358

=0.277moles

mole, also spelled mol, in chemistry a standard scientific unit for measuring large quantities of very small entities such as atoms, molecules or other specified particles. The mol designates an extremely large number of units, [tex]6.02214076*10^{23}[/tex].

Carbon monoxide (chemical formula CO) is a colorless, non-toxic, odorless, tasteless, combustible gas that is slightly less dense than air. Carbon monoxide is a triple bond between a carbon atom and an oxygen atom.

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To determine volume, we must work with density. But firstly we have to know the mass.

Density = mass/volume

Ratio is 2:1

CO density = CO mass / CO volume

1.18×10⁻³g/mL = CO mass / 0.626 L

First we must convert 0.626L to mL, because the units of density

0.626L = 626 mL

1.18×10⁻³g/mL = CO mass / 626 mL

CO masa = 1.18×10⁻³g/mL . 626 mL → 0.741 g

Let's convert to moles, the mass of CO ( mass . molar mass)

0.741 g / 28 g/mol = 0.0264 moles

As ratio is 2:1, we would need the half of moles, so (0.0264 / 2) = 0.0132 moles are required for the reaction.

Let's convert the moles to mass (molar mass  . moles)

32 g/mol . 0.0132 mol = 0.423 g

Now, we can work with oxygen density

O₂ density = O₂ mass / O₂ volume

1.43×10⁻³g/mL = 0.423g / O₂ volume

O₂ volume =  0.423g / 1.43×10⁻³g/mL → 296 mL

0.358 moles

hence, moles of carbon monoxide escaped will be

0.625 - 0.358 = 0.277moles

Therefore, the moles will be 0.277 moles.

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what kind of intermolecular forces act between a carbon monoxide molecule and a hydrogen iodide molecule?

Answers

Dispersion force act between a carbon dioxide molecule and a hydrogen iodide molecule.

Intermolecular interactions known as London dispersion forces typically act between atoms and molecules that are electrically symmetric, meaning that the electrons are evenly distributed around the nucleus. The van der Waals forces include them. The LDF bears Fritz London's name, a German physicist.

The least powerful intermolecular force is the London dispersion force. When the electrons in two nearby atoms occupy positions that cause the atoms to temporarily form dipoles, the consequence is the London dispersion force, a transient attractive force. The term "induced dipole-induced dipole attraction" is frequently used to describe this effect.

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How do you convert volume to moles at STP?

Answers

The conversion of volume to moles at STP is 1 mole.

The ideal gas equation is given as :

P V = n R T

where,

P = pressure of the gas

V = volume of the gas

n = ?

R = constant = 0.823 atm L / mol K

T = temperature

At STP , the pressure is 1 atm and the temperature is 273.15 K, the volume At STP is 22.4 L.

moles , n = P V / R T

n = ( 1 × 22.4 ) / (0.0823 × 273.15)

n = 1 mole

Thus, at STP , the number of moles is 1 mol.

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If the density of your unknown liquid is 0.65 g/ml, calculate the volume in liters that 3 ml of your unknown liquid would occupy when vaporized at the barometric pressure and temperature of your boiling water bath in run 1. use the accepted molar mass of your suspected unknown.c

Answers

1. If the density of your unknown liquid is 0.65 g/mL, calculate the volume in liters that 3 mL of your unknown liquid would occupy when vaporized at the barometric pressure and temperature of your boiling water bath in Run 1. Use the accepted molar mass of your suspected unknown: (0/1pts) Volume occupied when vaporized (L_ 3x0.65 (-1.0 pts) Incorrect. Convert from volume of liquid to moles of unknown using the density; 0.65 g.mL, and accepted molar mass for the suspected unknown: Do not use your experimentally determined molar mass. Once you have determined the moles of unknown; use the ideal gas law to determine the volume in liters that the gas will occupy once vaporized. Make sure to use the temperature of the water bath from Run 1 in Kelvin and the barometric pressure you recorded, in atm: (1/1pts) Based on the volume of the flask (L) from run 1, was 3 mL sufficient liquid to use in your experiment? yes

Of the following, circle the substance that is not like the others and explain why.
CO₂
H₂O
SiO₂
He

Answers

The correct answer is He.

Explanation: He is the symbol for Helium. Since Helium is an element it is classified as a pure substance. All of the rest of these choices are classified as compounds.

Brainliest is appreciated!

Does bromine react with carbon?

Answers

Answer:

yes

Explanation:

The double bond breaks, and a bromine atom becomes attached to each carbon.

calculate the percentage by mass of acetic acid in vinegar if it takes 24.5 ml of 0.299 m naoh to neutralize 8.55 grams of vinegar

Answers

The percentage by mass of acetic acid is 5.14%

What is percentage by mass?

It is defined as ratio of mass of substance to the mass of all substance multiply by 100.It is way to express concentration.

CH3COOH+NaOH= CH3COONa+H2O

we have 1 mole of acid for 1mole of base

Now , C=n/V

C= 0.299M ( its M not m so correct question)

V= 24.5 mL

no of moles = 0.299moles/L × 0.0245 L = 0.00733 moles

for neutralization of 0.00733 moles of Noah require 0.00733 moles  of CH3COOH

given mass of acetic acid = no. of moles × molar mass

0.00733×60g/mole = 0.4398g

% mass of acetic acid =[ 0.4398g/8.55g]×100

⇒ 5.14%

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calculate the volume of 5.5m naoh needed to prepare 1.0 l of base solution of the concentration used in this laboratory.

Answers

Base solution of the concentration used in this laboratory 0.182

Moles = given mass/molar mass

Molarity equation, M1 V1 = M2 V2

a) Assuming base solution concentration used in lab = 1M

Volume of NaOH needed= V1 = (M2 × V2)/M1 = (1L×1M)/5.5M = 0.182

b) Moles NaOH = 0.025 L × 0.18 M = 0.0045 mol

Molar mass KHP = 204.22 g/mol

Mass KHP = 0.0045 mol × 204.22 g/mol = 0.91899 g

c) given the uncertainty in mass of ±0.1g,

we can predict the range of mass = 0.8—1.0 g

The ability to suppose cautiously about some thing you are doing and nothing else. The noise outdoor made concentration difficult. there has been a glance of severe attention on her face.

An area ready for experimental take a look at in a science or for testing and evaluation a research laboratory widely a place imparting possibility for experimentation, observation, or exercise in a discipline of take a look at an area like a laboratory for trying out, experimentation, or exercise.

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The equilibrium constant of a reaction determined by "The molarity of products is divided by the molarity of reactants".

What is molarity ?

A chemical entity's concentration in some kind of a solution, specifically the quantity of a solute per unit volume of solution, has been measured by its molar concentration.

Moles = given mass/molar mass

Molarity equation, M1 V1 = M2 V2

Solution concentration = 1M

Moles NaOH = 0.025 L × 0.18 M = 0.0045 mol

Molar mass KHP = 204.22 g/mol

Mass KHP = 0.0045 mol × 204.22 g/mol = 0.91899 g

Volume of NaOH needed= V1 = (M2 × V2)/M1 = (1L×1M)/5.5M = 0.182

Therefore, the volume of the molarity used is 0.182

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sarah used 2.5 cups of cheese in a dish that serves 10 people. what constant of proportionality relates the number of servings to cups of cheese?

Answers

The proportionality constant that links the quantity of servings to cups of cheese is 0.25.

In a recipe that serves 10, Sarah used 2.5 cups of cheese, which is equivalent to:

Let c represent the number of cheese cups: c = 2.5 cheese cups

Let n represent the total number of clients served.

The equation is then expressed as follows:

c ∝ n

then we can introduce the sign for the proportionality constant as;

So, c = kn

then we may enter the given numbers as follows into the equation:

=> 2.5=k (10) (10)

The constant's value can be calculated as follows:

= k=2.5/10

= 0.25

Therefore, 0.25 is the constant of proportionality that links the quantity of servings to cups of cheese.

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ibuprofen, C13H18O2, is the active ingredient in many non-prescription pain relievers.

a) If the tables in a bottle contain a total of 33 g of ibuprofen, how many moles of ibuprofen are in the bottle?

b) How many molecules of ibuprofen are in the bottle?

Answers

Mole measure the number of elementary entities of a given substance that are present in a given sample. Therefore, the moles and number of molecules of ibuprofen is 0.15moles and 9.03×10²²molecules respectively.

What is mole?

The SI unit of amount of substance in chemistry is mole. The mole is used to measure the quantity or amount of substance. We know one mole of any element contains 6.022×10²³ atoms which is also called Avogadro number.

Mathematically,

mole =given mass ÷ molar mass

given mass of ibuprofen= 33 g

Molar mass of ibuprofen= 206.29 g/mol

mole of ibuprofen=33 g ÷ 206.29 g/mol

mole of ibuprofen=0.15moles

number of atoms/molecules=number of moles × 6.022×10²³(Avogadro number)

number of atoms/molecules of ibuprofen= 0.15× 6.022×10²³

                                                                   =9.03×10²²molecules

Therefore, the moles and number of molecules of ibuprofen is 0.15moles and 9.03×10²²molecules respectively.

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What happens when H2SO4 and NaOH combine?

Answers

Sodium hydroxide reacts with sulphuric acid and has chemical formula is Naoh+h2so4 producing the product of (NaSO4+H2O) Sodium sulphate and water. This is an acid-base reaction and the product obtained is in the form of salt and water. Sodium sulphate is salt(product of neutralisation reaction).

Sodium hydroxide is an inorganic and strong base which is also known as caustic soda. The chemical formula of sodium hydroxide is NaOH and Sulphuric acid is strong acid with chemical formula H2So4.

When Both H2So4 and NaOH combine, the  acid-base reaction will occur. Sodium hydroxide is a base that reacts with an acid, i.e., sulfuric acid to give respective salt and water as the product where Sodium sulphate is salt as a product . The reaction is an example of a neutralisation reaction.

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a sample of potassium iodide are decomposed into the constituent elements. if the sample produced 24.4 kg of potassium, how many kg of iodine were produced?

Answers

The mass of the iodine that can be obtained from the reaction is 79.5 Kg.

What is the mass of iodine that is produced?

We know that we have to look at the stoichiometry of the reaction so as to be able to solve the question well. We know that to look at the stoichiometry, it is important that we should able to consider the mass - mass relationship between the compounds.

We have the reaction equation written out in the form; [tex]2KI --- > 2K + I_{2}[/tex]. We have been told in the question as we can see above that a sample of potassium iodide are decomposed into the constituent elements. and the sample produced 24.4 kg of potassium.

Number of moles of the potassium produced = the sample produced 24.4 * 10^3 g/39 g/mol

= 625.6 moles

If the reaction produces 2 moles of potassium and 1 mole of iodine then the number of moles of iodine produced = 625.6 moles/2

= 312.8 moles

Mass of the iodine produced = 312.8 moles * 254 g/mol

= 79.5 Kg

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complete the electron‑pushing mechanism for the reaction by drawing the necessary organic structures and curved arrows for each step. make sure to include all nonbonding electron pairs.

Answers

The process by which water is added to an aldehyde when a base is present, Being electrophilic makes this carbon atom vulnerable to nucleophilic attack; in contrast, oxygen is more electronegative.

What is the definition of electronegativity?

An atom's or functional group's propensity to draw electrons to itself is known as electronegativity, which is a chemical property. An atom's electronegativity is influenced by both its number of atoms and the separation of its valence electrons from its charged nucleus.

What is a high electronegative indicative of?

The capacity of an atom in a covalent connection to pull shared electrons is known as electronegativity. The value of an element's electronegativity determines how strongly it will attract electron pairs.

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complete the overall reaction catalyzed by the pyruvate dehydrogenase complex. move the compounds and cofactors to the correct answer blanks. two terms will not be used.

Answers

The complete overall reaction is represented below:

Pyruvate +Co-A+NAD+ → Acetyl Co-A+ NADH+CO2

ATP,ADP are 2 components that are not used.

This reaction is catalyzed by pyruvate dehydrogenase. This enzyme binds with the p and breaks some bonds as well as make some bonds to produce final products. After the conversion of pyruvate to the acetyl Co-A, this compound enters into mitochondria and enter into Krebs cycle to make energy. The pyruvate dehydrogenase complex (PDC)three catalyzes the oxidative decarboxylation of pyruvate with the formation of acetyl-CoA, CO2 and NADH (H+) (1,–three). The PDC occupies a key role withinside the oxidation of glucose via way of means of linking the glycolytic pathway to the oxidative pathway of the tricarboxylic acid cycle.

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What are the two types of health effects of chemical exposure?

Answers

The two type of health effects of chemical exposure are difficulty in breathing and burning of skin.

While working in a chemical laboratory, there are certain ways in which a person can be exposed to a harmful chemical.

If the chemical is present in the form of gas then it is very much possible that the person can inhale the chemical.

This might create a difficulty in breathing.

During chemical experiments, it is very certain that sometimes we require concentrated acid and base.

Both acid and base are very harmful for human skin. So, if the acid or base makes a direct contact with the skin it can cause a burn.

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What are the effects of transition?

Answers

The effects of transition are: absorption of energy and release of energy

Transition of matter is defined as the conversion of matter from one phase to another. The three states of matter i.e solid, liquid and gas are interconvertible in nature.

Melting, freezing and evaporation are the three phases of transition. And these transition occurs as a result of absorption of energy and release in energy, which also results in the change of shape of the matter.

Melting of ice takes place by absorption of energy. Freezing of water into ice takes place by releasing energy and on evaporation also, energy is released.

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What field of science are you interested in?

Answers

Answer:Nuclear

Explanation:

Answer: I am interested in Chemistry.

what can be said about the concentrations of reactants relative to the concentrations of products at equilibrium?

Answers

At the state of equilibrium of the reaction,  the concentrations of reactants relative to the concentrations of products will be as follows [Reactants] = [Products].

In the field of chemistry, equilibrium is described as a state during which the amount of reactants is equal to the amount of product that is being produced from the reaction.

In other words there are equal number of moles of the reactants as well as equal number of moles of the products at the stage of equilibrium for a reaction.

While writing the state of equilibrium in a reaction, we will represent this stage as  [Reactants] = [Products]. After this stage of the reaction, more of the reactants will be utilized for the formation of products.

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How many iron ions are in 9.30 mol of iron ii nitrate

Answers

9.30 mol of iron (II) nitrate will contain a total of 27.9 mol ions.

Stoichiometric problem

Iron (II) nitrate is made of two ions:

Iron ionsnitrate ions

The compound ionizes according to the following equation:

[tex]Fe(NO_3)_2 --- > Fe^{2+} + 2NO_3^-[/tex]

In other words, 1 mole of iron (II) nitrate produces 1 iron ion and 2 nitrate ions.

Now, there are 9.3 moles of iron (II) nitrate. If 1 mole gives 1-mol 27.9 mol and 2-mol nitrate ions, then 9.3 moles will give:

9.3 mol iron ions

9.3 x 2 = 18.6 mol nitrate ions

Total number of ions = 9.3 + 18.6

                                   = 27.9 mols

In other words, the total number of ions in 9.30 mol of iron (II) nitrate would be 27.9 mol.

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What is a phase transition ?

Answers

A phase transition means change of one phase of matter into another.

Solid, liquid and gas are the three states of matter. Matter is interconvertible in nature.

The three phases of transition of matter are: melting, freezing and evaporation. These transition processes take place due to absorption and release of energy.

In the melting process, solid ice melts into liquid water due to absorption of energy.

In the freezing process, energy is released by liquid water which gives rise to the formation of solid ice.

In the process of evaporation, energy is released by liquid water , which results in the formation of water vapour.

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hydrogen, when combined with oxygen in a chemical reaction, forms water. this is an example of which type of chemical reaction?

Answers

Hydrogen, when combined with oxygen in a chemical reaction, forms water. This is an example of Combination reaction.

Chemical reaction-In a chemical reaction, one or more substances—also known as reactants—are changed into one or more additional substances—also known as products. Chemical elements or chemical compounds make up substances., Different types of reactions are Combustion reaction, Decomposition reaction, Neutralization reaction, Redox Reaction, Precipitation or Double-Displacement Reaction, Synthesis reaction.

Combination reactions is processes in which two or more substances or components come together to generate a single substance. Equations of the form X + Y XY serve as a representation for such reactions. A combination reaction is the joining of two or more components to create a compound.

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need help with 11 and 12 please and thank you!!!

Answers

Holding a toast  will not help in preventing Johny from dying of hypothermia as the thermal energy produced by holding a hot toast is not sufficient to maintain the thermal energy of the body.

What is thermal energy?

Thermal energy is defined as a type of energy which is contained within a system which is responsible for temperature rise.Heat is a type of thermal energy.It is concerned with the first law of thermodynamics.

Thermal energy arises from friction and drag.It includes the internal energy or enthalpy of a body of matter and radiation.It is related to internal energy and heat .It arises when a substance whose molecules or atoms are vibrating faster.

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What does it mean to be in transition?

Answers

Transition means change of one phase of matter into another.

Matter is interconvertible in nature. There are three phases of transition: Melting, freezing and evaporation.

The process of conversion of solid form of matter into liquid form is known as melting. Examples of melting are such as: melting of ice, melting of wax etc.

The process of conversion of liquid form of matter into solid form is known as freezing. Formation of ice is an example of freezing.

And, the process of conversion of liquid form of matter into gaseous form is known as evaporation. Boiling of water is an example of evaporation.

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Classify the phrases as pertaining to fatty acid synthesis or fatty acid oxidation. a. occurs in cytoplasm b. begins with carboxylation of acetyl-CoA c. enzymes are joined in a multienzyme complex d. acetyl-CoA is a producte. intermediates linked to acyl carrier protein f. takes place in the mitochondria g. uses NADPHh. intermediates linked to coenzyme A i. a series of condensation, reduction, and dehydration reactions j. uses FAD and NAD 1. Fatty acid synthesis 2. Fatty acid oxidation

Answers

Fatty acid is a crucial part of lipids, which are the parts of living things including plants, animals, and microbes that may be dissolved in fat. Therefore, fatty acid synthesis involves that are discussed below.

What is fatty acid?

A fatty acid is made up of a linear chain with an even amount of carbon atoms, hydrogen atoms all along the of the chain, a carboxyl group (COOH) at one end, and hydrogen atoms running the other end of the chain.

Fatty acid synthesis involves following steps

begins with  carboxylation of acetyl-CoA  

takes place in the cytoplasm

intermediates are linked to acyl carrier protein

use of NADPH

have a series of condensation

reduction and dehydration reactions.

Therefore, fatty acid synthesis involves that are discussed above.

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chemical bonding allows each atom involved in the bond to fill its ______________.

Answers

chemical bonding allows each atom involved in the bond to fill its outer shell.

Chemical Bonds

Atomic or elemental bonds depend on the energy level in which the outermost electron e- or e- resides.

The first shell, the innermost level, can hold up to two electrons.

The second can hold up to 8 electrons.

The third can hold up to 8 electrons.

An atom

is stable or non-reactive if the outermost energy level (shell) holds the maximum number of electrons. It does not bond with other atoms. Does not form chemical bonds,

or compounds.

To become stable, atoms gain, lose, or share electrons to complete their outermost energy levels (electron shells).

octet rule because levels 2 and 3 need 8 electrons to be stable.

Look at the outermost electron shells (energy levels).

VALENCE

The number of electrons in the outer energy plane (shell) determines (tells) the valence of the atom.

Having 8 electrons in the outermost shell (the octet rule) determines the valence of the atom (it's a number).

Note: The "group number" in the periodic table indicates the number of electrons in the outermost shell. From this we can read how many electrons the atom must lose or gain to reach 8.

The valence is the number of electrons an atom loses or gains in order to have a perfect outer shell (it is always the minimum number).

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what mass of na2so4 is needed to prepare 350. ml of a solution having a sodium ion concentration of 0.125 m? a) 3.11 g b) 24.9 g c) 12.4 g d) 6.21 g e) 8.88 g

Answers

The option (b) is correct - 3.11 g.

What is concentration?

(KON-sen-TRAY-shun) The quantity of a substance, like salt, that is present in a specific volume of tissue or liquid, like blood, according to scientific definition.

What is mass?

Although grams can be used to measure lower quantities instead of kilograms, which is the standard SI unit for mass (g). Using a balance would be necessary to determine mass.

Gives that

volume of solution = 350 ml

350/1000 l = 0.350l

concentration of na+ ions = 0.125m

concentration of mg2so4 = concentration of na/2

concentration of na2so4= 0.125/2m= molarity

moles of na2so4= m*v

o.125/2*0.350

0.021875 moles

molar mass of g na2so4= 142.04g/mol

mass g m na2so4 = molar mass * mole

142. 04* 0.021875

=3.11g

Therefore, option (b) is correct - 3.11 g.

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Why is zinc reduction potential negative?

Answers

If the conventional hydrogen electrode is connected to the zinc half-cell, the zinc will be substantially more negative because the released electrons when zinc is oxidized will concentrate on the metal.

Zinc has a stronger tendency than hydrogen to generate ions (to be oxidized). The elements in the electrochemical series are grouped in accordance with their reduction potential. Zinc has a reduction potential of 0.76 volts, while iron has a reduction potential of 0.44 volts. As a result, zinc has a large negative reduction potential while iron has a low one. The electrode has a higher propensity to experience oxidation when the standard reduction potential is negative because it will rapidly lose electrons. As a result, it acts as a more powerful reducer than a hydrogen electrode.

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How does the atomic radius change across a period ?

Answers

The atomic radius change across a period from left to right in the periodic table is decreases.

When me move up to the period from the left to the right in the periodic table the number of the shells across the period will not change the number of shell will remains the same so the nucleus will attract the outermost shell electrons to towards itself and the effective nuclear charge will increase , the increase shielding effect across the period is negligible so the atomic radius decrease.

Thus, as the effective nuclear charge increase , the ionization enthalpy also increases and the atomic radius will decreases.

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chemical analysis on a rock specimen has shown a ratio of 1:3 for radioactive parent to stable daughter product. if the radioactive isotope in this rock has a half-life of 10,000 years, how old is this rock?

Answers

This rock is 20,000 years old if the radioactive isotope it contains has a half-life of 10,000 years.

Not all of an element's atoms instantly transform into atoms of another element during natural radioactive decay. There is value in being able to express the rate at which a process occurs since the decay process takes time. Within one half-life, the amount of radioactive nuclei present at any particular time will be reduced to half. The procedure of radioactive dating involves using certain radioactive nuclides to establish an object's approximate age.

Age = nxt1/2 is the formula used to determine an object's age using isotope dating, where n is the quantity of half-lives.

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