How many atoms in 56.4 g of platinum (Pt)

Answers

Answer 1

56.4 g of platinum will contain 1.7417 x  [tex]10^{23}[/tex] atoms

Number of atoms in substances

According to Avogadro, 1 mole of any substance contains 6.022 x [tex]10^{23}[/tex] atoms of the substance.

The problem is we don't know how many moles of platinum that are present in 56.4 g. Thus, the first thing is to calculate the number of moles of platinum present in 56.4 g of the substance.

This can be achieved by using the formula, mole = mass/molar mass. Keep in mind that the molar weight of platinum is 195 g/mol.

Therefore,

Mole of 56.4 g of platinum = 56.4/195 = 0.2892 moles

If,

1 mole of any substance = 6.022 x [tex]10^{23}[/tex] atoms

Then,

0.2892 moles of platinum = 0.2892 x 6.022 x [tex]10^{23}[/tex] atoms = 1.7417 x  [tex]10^{23}[/tex] atoms

In other words, 56.4 g of platinum will contain 1.7417 x  [tex]10^{23}[/tex] atoms 1.7417 x  [tex]10^{23}[/tex] atoms of the metal.

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Related Questions

A piece of copper absorbs 5000 J of energy and undergoes a temperature change from 100 °C to 200 °C. What is the mass of the piece of copper?
Group of answer choices

A. 12.9 grams

B. 129.9 grams

C. 0.385 grams

D. 1290 grams

Answers

Answer:

B.) 129.9 grams

Explanation:

To find the mass, you need to use the following equation:

Q = mcΔT

In this equation,

-----> Q = energy (J)

-----> m = mass (g)

-----> c = specific heat (J/g°C)

-----> ΔT = change in temperature (°C)

The specific heat of copper is 0.385 J/g°C. Knowing this, you can plug the given values into the equation and simplify to isolate "m".

Q = mcΔT                                                            <----- Equation

5000 J = m(0.385 J/g°C)(200 °C - 100 °C)        <----- Insert values

5000 J = m(0.385 J/g°C)(100)                            <----- Subtract

5000 J = m(38.5)                                                <----- Multiply 0.385 and 100

129.9 = m                                                             <----- Divide both sides by 38.5

the quantity PV/T must be held constant and both P and V are doubled, the value of T will necessarily have to,

Answers

Quadruple
Since we double both P and V in the numerator, the denominator (T) has to be doubled twice, or quadrupled (multiplied by 4)


Example:

P1 = 5
V1 = 2
T1 = 10
5*2/10 = 1

P2 = 5*2 = 10
V2 = 2*2 = 4
T2 = 10*4 = 40
10*4/40 = 40

Which best explains the effect of chemicals on the environment?
O A. Chemicals are only harmful to the environment.
OB. Chemicals do not affect the environment.
C. Chemicals are only helpful to the environment.
OD. Chemicals can be helpful or harmful to the environment.

Answers

The best effect of chemicals on the environment is that Chemicals can be helpful or harmful to the environment.

Environmental chemical compounds seek advice from a chemical compound or chemical element present in air, water, meals, soil, dust, or other environmental media which includes customer merchandise.

Chemical substances can be toxic due to the fact they are able to harm us after they enter or touch the frame. exposure to a poisonous substance together with fuel can have an effect on your fitness. due to the fact that drinking gas can motive burns, vomiting, diarrhea and, in very huge amounts, drowsiness or dying, it's far poisonous.

Nutrient loading from over-fertilization can bring about runoff that causes damaging consequences in aquatic ecosystems. sizable publicity to, or misuse of, insecticides can damage non-centered plants and animal, as well as lead to improvement of pesticide-resistant pest species.

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Definition
a visual representation of data that uses unconnected plotted points​

Answers

A horizontal exempted is a bit tight but I think it’s a good idea

A crystal of potassium permanganate is placed in a beaker of water. The purple colour of potassium permanganate gradually spreads throughout the water by diffusion Explain, using the kinetic particle theory, how this process occurs.

Answers

When the crystals of potassium permanganate are preserved in water, the purple-coloured crystals of potassium permanganate break further into smaller particles that populate the distance between the molecules of water imparting a purple colour to the water. This is an example of diffusion.

What are the two conclusions given out in the method of diffusion?

Diffusion is the process of movement of solvent from higher concentration to lower concentration through a semipermeable membrane. So, we can form the decision that it cannot occur through a thick membrane from which small molecules cannot pass through.

What is difference between osmosis and diffusion?

Osmosis is the direction of solvent particles from a solution that is diluted to a more concentrated one. In contrast, diffusion is the movement of particles from a higher concentration region to a part of lower concentration.

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Which of the following IS a part of the Kinetic Molecular Theory (KMT)?
Group of answer choices

A. Molecules in a gas move slowly.

B. Molecules in a gas move rapidly.

C. Molecules have HUGE volumes.

D. Molecules have predictable motions.

Answers

The statement that is a part of Kinetic Molecular Theory (KMT) is Molecules in a gas move rapidly. That is option B.

What is Kinetic Molecular Theory (KMT)?

Kinetic Molecular Theory (KMT) is defined as the theory that describes the physical behaviour of gases.

The Kinetic Molecular Theory (KMT) include the following:

Ideal gas molecules are constantly moving;

They have negligible volume;

They have negligible intermolecular forces;

They undergo perfectly elastic collisions; and

They have an average kinetic energy proportional to the ideal gas's absolute temperature.

Therefore, the statement that is a part of Kinetic Molecular Theory (KMT) is Molecules in a gas move rapidly.

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For the following questions state the oxidation number of the element in the given compound.
1. sul fur in Li2SO#3
2. chlorine in MgCl2
3.Silicon in SiO2
4.sul fur in H2SO4
5.Sulfur in SO4^2-
6. manganese in MnO4^-
7. Cr in Cr2O7^2-

Answers

in the periodic tables

elements in the same column have the same charge

in a compound oxidation numbers have to equal 0

1.

sulfur in Li2SO3

charges :

Li = +1 S = +4 O = -2

multiply the charge with the subscripted number next to the element

Li = +1

Li2 = +2

O = -2

O3 = -8

in a compound oxidation numbers have to equal 0

+2 S -6 = 0

S -4 = 0

S = +4

Sulfur = +4

2.

MgCl2

Mg = +2

+2 Cl2 = 0

Cl2 = -2

Cl by itself = -2 divided by 2 = -1

Chlorine  = -1

3.

SiO2

Silicon = +4

4.

Sulfur in H2SO4

H: +1 S: +6 O: -2

H2SO4

H2 : +2 O4: -8

+2 +S -8 = 0

S - 6 = 0

S = +6

Sulfur = +6

5.

Sulfur in SO4^2-

Sulfur in SO4

Sulfur = +4

6.

Manganese in MnO4^-

Manganese in MnO4

Manganese = +4

7.

Cr2O7^2-

Dichromate

Cr in Cr2O7^2- or Cr2O7-2-

Cr: +6 O: -2

A solution has a hydrogen ion concentration of [H+] = 4.6 x 10 -3 M.

What is the hydroxide ion concentration [OH-] of this solution?

Answers

Answer:

[OH⁻] = 2.2 x 10⁻¹²

Explanation:

(Step 1)

Calculate the pH.

pH = -log[H⁺]

pH = -log[4.6 x 10⁻³]

pH = 2.34

(Step 2)

Find the pOH.

pH + pOH = 14

2.34 + pOH = 14

pOH = 11.66

(Step 3)

Calculate the [OH⁻].

[OH⁻] = 10^(-pOH)

[OH-] = 10^(-11.66)

[OH⁻] = 2.2 x 10⁻¹²

The amount of heat transferred from an object depends on
Group of answer choices

A. The initial temperature of the object

B. All of the above

C. The specific heat of the object

D. The mass of the object

Answers

The amount of heat transferred from an object depends on the following;

The initial temperature of the object

The specific heat of the object

The mass of the object

Therefore, the answer is all of the above (option B).

What is heat?

Heat is the internal energy of a system in thermodynamic equilibrium due to its temperature.

The amount of heat absorbed or released by an object can be calculated using the following expression:

Q = m × c × ∆T

Where;

Q = quantity of heat

m = mass of object

c = specific heat capacity of object

∆T = change in temperature

Therefore, this suggests that amount of heat transferred from an object depends on the following;

The initial temperature of the object

The specific heat of the object

The mass of the object

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In a perfect world, reactions can never go above 100% yield. However in reality you will sometimes get above 100% yield. Why?
Group of answer choices

A. Excess water and Impurities

B. Impurities Only

C. Excess Water Only

D. You can never have above 100% yield under any circumstance.

Answers

Excess water and impurities. Option A.

Under what conditions can one get over a 100% yield?

In the actual sense of it, no chemical reaction can give over a 100% yield. The upper limit cannot be breached. Thus, if more than a 100% yield is obtained, there is a problem somewhere.

One of the problems could be that the product is not sufficiently dried. In other words, excess water has contributed to the yield of the reaction.

The second likely problem could be that at some points during the reaction, impurities have been introduced. The weight of the impurities will add to the actual yield and give a bogus over a 100% yield.

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How many molecules of H₂S are required to form 79.0 g of sulfur according to the following reaction? Assume excess SO2.
2 H₂S(g) + SO2(g) → 3 S(s) + 2H₂O(1)

Answers

Answer:

9.89 x 10²³ molecules H₂S

Explanation:

To find the molecules of H₂S, you need to (1) convert grams S to moles S (via the atomic mass of sulfur), then (2) convert moles S to moles H₂S (via the mole-to-mole ratio from equation coefficients), and then (3) convert moles H₂S to molecules H₂S (via Avogadro's Number). It is important to arrange the ratios/conversions in a way that allows for the cancellation of units. The final answer should have 3 sig figs to match the sig figs of the given value.

Atomic Mass (S): 32.065 g/mol

2 H₂S(s) + SO₂(g) -----> 3 S(s) + 2 H₂O(l)

Avogadro's Number:

6.022 x 10²³ molecules = 1 mole

79.0 g S           1 mole            2 moles H₂S          6.022 x 10²³ molecules
---------------  x  ---------------  x  ----------------------  x  -------------------------------------  =
                        32.065 g            3 moles S                          1 mole

=  9.89 x 10²³ molecules H₂S

Lithium is located in the first group of the periodic table. How many valence electrons does the element lithium have?

1
2
4
8

Answers

Answer: 1

Explanation: Lithium has a single electron in the second principal energy level, and so we say that lithium has one valence electron.

1 is correct

for brainliest

7. What is the name of an element with 3 protons and 5 neutrons?

Answers

Answer: Lithium - 8

Answer:

Lithium-8

Explanation:

The atom with three protons and five neutrons that has a mass number of eight is known as lithium-8.

In the chemical reaction:

Cu + 2AgNO3 → 2Ag + Cu(NO3)2

What is the limiting reactant if you start with 1.8 moles of copper and 2.0 moles of silver nitrate?

Group of answer choices

A. copper (II) nitrate

B. copper

C. silver

D. silver nitrate

Answers

Answer:

d

Explanation:

d

Predict and Balance the following reaction:

Na + H2O →

Group of answer choices

A. 2Na + 2H2O → 2NaOH + H2

B. No Reaction Occurs

C. Na + H2O → NaOH2

D. 2Na + H2O → Na2O + H2

Answers

A. The balanced chemical reaction of Sodium metal and Water is 2Na  +  2H₂O  →  2NaOH    +   H₂.

What is a balanced chemical equation?

A balanced equation contains the same number of each type of atoms on both the left and right sides of the reaction arrow.

Reaction of Sodium metal and Water

Sodium metal reacts rapidly with water to form a colourless solution of sodium hydroxide (NaOH) and hydrogen gas (H2).

The balanced chemical reaction is written below;

2Na  +  2H₂O  →  2NaOH    +   H₂

Thus, the balanced chemical reaction of Sodium metal and Water is 2Na  +  2H₂O  →  2NaOH    +   H₂.

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A gram of gasoline produces 45.0kJ of energy when burned. Gasoline has a density of 0.77/gmL. How would you calculate the amount of energy produced by burning 13.L of gasoline?
Set the math up. But don't do any of it. Just leave your answer as a math expression.

Also, be sure your answer includes all the correct unit symbols.

how do I set up the math?

Answers

Answer:

See below

Explanation:

45 kJ / gm   * .77  gm / liter  * 13 liter =  _________  kJ

Burning 13 L of gasoline would produce 450,450 kJ of energy. For calculating the amount of energy produced by burning 13 L of gasoline, we can use the given information that 1 gram of gasoline produces 45.0 kJ of energy when burned and the density of gasoline is 0.77 g/mL.

First, we need to convert the volume of gasoline from liters to milliliters since the density is given in grams per milliliter.

13 L = 13,000 mL

Next, we can calculate the mass of the gasoline using the density:

Mass = Volume x Density

Mass = 13,000 mL x 0.77 g/mL

Mass = 10,010 g

Now, we can calculate the amount of energy produced by multiplying the mass of gasoline by the energy produced per gram:

Energy = Mass x Energy per gram

Energy = 10,010 g x 45.0 kJ/g

Energy = 450,450 kJ

Therefore, burning 13 L of gasoline would produce 450,450 kJ of energy.

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Given the reaction:
N2(g) + 3 H2(g) <--> 2 NH3(g)
If the system is at equilibrium, what will happen is pressure is added?
Group of answer choices

A. Nothing. Pressure does not affect equilibrium position.

B. The reaction will shift to the right to produce more product.

C. All of the above

D. The reaction will shift to the left to produce more reactants

Answers

Answer:

B.) The reaction will shift to the right to produce more product.

Explanation:

When the pressure of a reaction is increased, the equilibrium shifts to the side with less moles of gas.

You can determine the moles of gas by adding the coefficients on each side of the reaction. The reactants have 4 moles of gas (1 + 3 = 4) and the products have 2 moles of gas. Since there are less moles of gas on the product side, the equilibrium will shift to that side. As such, more product will be produced.

Please Help!! Balancing Redox Reactions Worksheet questions 4-7 (see attached)

Answers

The balanced redox reaction in the chemical reaction is given below:

40H2S + 48H+ + 16MnO4¯ ---> 5S8 + 16Mn2+ + 64H2O

Balancing the redox reaction:

Solution:

1) Half-reactions:

H2S ---> S8

MnO4¯ ---> Mn2+

2) Balance:

8H2S ---> S8 + 16H+ + 16e¯

5e¯ + 8H+ + MnO4¯ ---> Mn2+ + 4H2O

3) Make the number of electrons equal (note that there are no common factors between 5 and 16 except 1):

40H2S ---> 5S8 + 80H+ + 80e¯ <--- factor of 5

80e¯ + 128H+ + 16MnO4¯ ---> 16Mn2+ + 64H2O <---

factor of 16

4) Thus, the final answer is given below;

40H2S + 48H+ + 16MnO4¯ ---> 5S8 + 16Mn2+ + 64H2O

What is oxidation-reduction reaction?

Oxidation-reduction can simply be defined as a special type of chemical reaction in which the oxidation states of the substrate change.

So therefore, the balanced redox reaction in the chemical reaction is given below:

40H2S + 48H+ + 16MnO4¯ ---> 5S8 + 16Mn2+ + 64H2O

Complete question:

Balance the following redox reaction:

MnO4¯ + H2S ---> Mn2+ + S8

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Nuclear explosions require a specific amount of mass to trigger and self-sustain a nuclear chain reaction. That mass is called the

Answers

Answer:

Explanation:

The term you want is the critical mass. It is the mass needed to trigger a nuclear reaction and keep it going.

Approximately 104 pounds of Uranium 235 is needed for the critical mass to occur. If it is less than 104 pounds, no reaction will occur.

What volume of hydrogen (in L) is produced
from the complete reaction of 56.49 g of
magnesium metal at STP?
(Mg = 24.30 g/mol)
Mg(s) + 2HCl(aq) → MgCl₂(aq) + H₂(g)
Hint: 1 mole of gas at STP occupies 22.4 L

Answers

Answer:

52.07 L H₂

Explanation:

Before you can find the volume of H₂, you need to find the moles of H₂. To do this, you need to (1) convert grams Mg to moles (via the atomic mass) and then (2) convert moles Mg to moles H₂ (via the mole-to-mole ratio from equation coefficients).

Atomic Mass (Mg): 24.30 g/mol

1 Mg(s) + 2 HCl(aq) ---> MgCl₂(aq) + 1 H₂(g)
^                                                         ^

56.49 g Mg           1 mole               1 mole H₂
-------------------  x  -----------------  x  --------------------  =  2.32 moles H₂
                              24.30 g            1 mole Mg

Now that you know the moles of H₂, you need to determine the volume at STP. To do this, you need to set up a proportion comparing the mole value versus the volume. Then, you can cross-multiply to solve for the unknown volume. The final answer should have 4 sig figs to match the given values.

 1 mole            2.32 moles
--------------  =  --------------------                      <----- Set up proportion
  22.4 L                 ? L

(1 mole) x ? L = 52.07                                 <----- Cross-multiply

? L = 52.07                                                <----- Divide both sides by 1 mole

At the equivalence point of a titration of the [H+] concentration is equal to:
Group of answer choices

A. 1 x 107 M

B. 7

C. [OH-]

D. 1 x 10-7 M

Answers

B. At the equivalence point of a titration of the [H+] concentration is equal to 7.

What is equivalence point of a titration?

The equivalence point of a titration is a point in titration at which the amount of titrant added is just enough to completely neutralize the analyte solution.

At the equivalence point in an acid-base titration, moles of base equals moles of acid and the solution only contains salt and water.

At the equivalence point, equal amounts of H+ and OH- ions combines as shown below;

H⁺ + OH⁻  → H₂O

The pH of resulting solution is 7.0 (neutral).

Thus, the pH at the equivalence point for this titration will always be 7.0.

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1. Calculate the average atomic mass of rubidium. Rubidium has two isotopes, 85Rb and 87Rb. 85Rb has an atomic mass of 84.912 amu and occurs at an abundance of 72.17%. 87Rb has an atomic mass of 86.909 amu and occurs at an abundance of 27.83%. Show your work

Answers

Just use labels I’m lazy

What is the equilibrium constant for the reaction

Answers

Answer:

B.) [tex]K_{eq} = \frac{[SO_3][NO]}{[SO_2][NO_2]}[/tex]

Explanation:

The general equilibrium expression looks like this:

[tex]K_{eq} = \frac{[C]^c[D]^d}{[A]^a[B]^b}[/tex]

In this expression,

-----> K = equilibrium constant

-----> uppercase letters = formulas

-----> lowercase letters = balanced equation coefficients

The products are in the numerator and the reactants are in the denominator. Since all of the molecules are gases, they should all be included in the expression. Since the coefficients in the balanced equation are all 1, they do not need to be represented in the expression.

The equilibrium constant expression is:

[tex]K_{eq} = \frac{[SO_3][NO]}{[SO_2][NO_2]}[/tex]

is Cu^2+ + 2Br^- --> Cu + Br2 a spontaneous or non-spontaneous redox reaction?

Answers

The reaction above is a spontaneous reaction

Cu^2+ + 2Br^- --> Cu + Br2

What is spontaneous redox reaction?

A spontaneous redox reaction is a special type of redox reaction which involves the release of energy where the electrons are transferred from from an anode to the cathode

General spontaneous redox reactions is found mostly in electrochemical cells

So therefore, the reaction above is a spontaneous reaction.

Cu^2+ + 2Br^- --> Cu + Br2

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2Al(s)+Fe2O3(s) → Al2O(s)+2Fe(s) with a delta H=-847 KJ.
Railroad maintenance initiates a thermite reaction of 4.0 mol Al to connect two lengths of rail using the reaction above. How much heat is released during the reaction?

Answers

∆H for given reaction -847kJ

As it's negative reaction is exothermic

So

2 mol of Al releases 847KJ heat

4 mol Al releases

2(847)1694KJ

∆H=-1694KJ

It is given that the energy released during the reaction of 2 moles of Al metal is - 847 KJ. The n the heat energy released by 4 moles of Al will be - 1694 KJ.

What is reaction enthalpy?

The enthalpy change of a reaction is the heat energy absorbed or released by a reaction. For an endothermic reaction, the heat energy is absorbed and the enthalpy change is positive. For an exothermic reaction, where the energy is released, the enthalpy change will be negative.

The heat energy change during a reaction is equal to the product of mass, specific heat and temperature difference of the substanc eunder reaction or phase transition.

Given that, the heat evolved by 2 moles of Al is - 847 kJ. Then, the heat evolved when 4 moles of Al reacted is calculated as follows:

(4 × - 847) / 2 = - 1694 KJ.

Therefore, the heat energy released is  - 1694 KJ.

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If a chemical reaction produces 20.0 grams of product, but by stoichiometry it is supposed to have 25.0 grams of product; what is the percent yield of the reaction?
Group of answer choices

A. 125%

B. 75%

C. 20%

D. 80%

Answers

ThThe percentage yield is 80

If 1.240g of carbon dioxide dissolves in 1.01L of water at 755mmHg, what quantity of carbon dioxide in grams will dissolve at 790mmHg?

Answers

Taking into account the Henry's Law, 1.297 g carbon dioxide will dissolve at 790 mm Hg in 1.01 L water.

Henry's Law

A change in pressure does not appreciably influence the solubility of solids or liquids or liquids in liquids; however, that of gases in solvents increases when the partial pressure of the gases increases. The solubility of a gas depends on pressure and temperature.

In this way, Henry's Law describes the effect of pressure on the solubility of gases. This law states that the solubility of a gas in contact with the surface of a liquid at a given temperature is directly proportional to the partial pressure of said gas on the liquid.

Mathematically, Henry's law is expressed as:

C=k×P

Where:

P is the partial pressure of the gas.C is the concentration of the gas.k is Henry's constant, which depends on the nature of the gas, the temperature, and the liquid.

At 2 different partial pressure values, the Henry's law is expressed as:

[tex]\frac{C1}{C2} =\frac{P1}{P2}[/tex]

Quantity of carbon dioxide

In this case, you know:

C₁ = [tex]\frac{1.240 g}{1.01 L}[/tex] =1.228 [tex]\frac{g}{L}[/tex]C₂ = ?P₁ = 755 mm HgP₂ = 790 mm Hg

Replacing in Henry's Law:

[tex]\frac{1.228\frac{g}{L} }{C2} =\frac{755 mmHg}{790mmHg}[/tex]

Solving:

[tex]1.228\frac{g}{L} =\frac{755 mmHg}{790mmHg}xC2[/tex]

C2= [tex]\frac{1.228\frac{g}{L} }{\frac{755 mmHg}{790mmHg}}[/tex]

C2= 1.285 [tex]\frac{g}{L}[/tex]

Then, the concentration of carbon dioxide at 790 mmHg is 1.285 g/L. But you have 1.01 L of water. So the amount of gas dissolved can be calculated as 1.01 L×1.285 g/L = 1.297 g

Finally, 1.297 g carbon dioxide will dissolve at 790 mm Hg in 1.01 L water.

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How much heat is needed to melt 100.0 grams of ice that is already at 0°C?
Group of answer choices

A. +33,400J

B. -226,000 J

C. +226,000 J

D. -33,400J

Answers

A. The heat is needed to melt 100.0 grams of ice that is already at 0°C is +33,400 J.

What is Specific heat capacity?

Specific heat capacity is the quantity of heat needed to raise the temperature per unit mass.

Heat needed to melt the cube of ice

The heat is needed to melt 100.0 grams of ice that is already at 0°C is calculated as follows;

Q = mL

where;

m is mass of the iceL is latent heat of fusion of ice = 334 J/g

Q = 100 x 334

Q = 33,400 J

Thus, the heat is needed to melt 100.0 grams of ice that is already at 0°C is +33,400 J.

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What is the pH of a 0.0100 M sodium benzoate solution? Kb (C7H5O2-, ) = 1.5 x 10^-10. Show how it is worked out.

Answers

The pH of a 0.0100 M sodium benzoate solution is determined as 8.09.

What is pH of a solution?

The pH of a solution is a measure of hydrogen (H+) ion concentration, which is, in turn, a measure of acidity of the solution.

pH is can also be determined from pOH of the solution as shown below;

pH = 14 - pOH

pH of the benzoate solution

let the hydroxyl concentration, OH = x

x²/M = kb

x²/0.01 = 1.5 x 10⁻¹⁰

x² = 1.5 x 10⁻¹²

x = √(1.5 x 10⁻¹²)

x = 1.2247 x 10⁻⁶

pOH = - log(OH⁻)

pOH = -log( 1.2247 x 10⁻⁶)

pOH = 5.91

Calculate the value of the pH

pH = 14 - 5.91

pH = 8.09

Thus, the pH of a 0.0100 M sodium benzoate solution is determined as 8.09.

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If the pressure is doubles and the temperature is held constant what will happen to the volume of a gas?
Group of answer choices

A. Quadrupled

B. Doubled

C. Reduced by Half

D. Reduced by a Fourth

Answers

Answer:

C

Explanation:

Of course increasing the pressure will reduce the volume

P1V1 = P2V2

P1V1/P2 = V2     WHEN P2 = 2 P1----multiply both sides by 1/2

P1 V1 / 2P1 = 1/2 V2    <===== 1/2 the original

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