Assume that the total volume of a metal sample is the sum of the volume occupied by the metal ions making up the lattice and the (separate) volume occupied by the conduction electrons. The density and molar mass of the first metal are 911 kg/m3 and 27.7 g/mol, respectively; assume the radius of an ion is 97.3 pm. (a) What percent of the volume of a sample of this metal is occupied by its conduction electrons

Answers

Answer 1

Answer:

92.4%

Explanation:

The volume per cubic meter of sodium preoccupy by the sodium ions is

[tex]V_{Na} = n \times V[/tex]

where;

volume (V) of each Na atom   = [tex]\dfrac{ 4}{3} \pi r^3[/tex]

Radius of each ion = 97.3 pm = 97.3 × 10⁻¹²

no.of atoms in the sample n =  mass of the sample / ( molar mass / NA)

mass of the sample per cubic metre =  911 kg/m³

[tex]V = \bigg [ \dfrac{4}{3} \pi r^3 \bigg ] \bigg [\dfrac{MN_A}{m} \bigg ][/tex]

[tex]V = \bigg [ \dfrac{4}{3} \pi (97.3 \times 10^{-12} )^3 \bigg ] \bigg [\dfrac{ (911 kg/m^3 (m^3))(6.023\times 10^{23})}{27.7 \times10^{-3}\ kg/mol } \bigg ][/tex]

V = 0.07643 m³

The fraction of available conduction electrons are;

= (1 - V)

= 1 - 0.07643

= 0.92357

≅ 92.4%


Related Questions

what is the kinetic energy of a 3kg ball that is rolling at 2 meters per second

Answers

Answer:

6 J

Explanation:

The kinetic energy of an object can be found by using the formula

[tex]k = \frac{1}{2} m {v}^{2} \\ [/tex]

m is the mass

v is the velocity

From the question we have

[tex]k = \frac{1}{2} \times 3 \times {2}^{2} \\ = \frac{1}{2} \times 3 \times 4 \\ = 3 \times 2[/tex]

We have the final answer as

6 J

Hope this helps you

why can three atoms of magnesium have different masses?

Answers

Answer:

Three atoms of magnesium can have different masses because each of the three atoms has a different number of neurons.

I hope this helped :)

The differences in masses of the three magnesium atom is due to there differences in there neutron number

Isotopes are members of an element that all have the same number of protons but different numbers of neutrons.

These are 2 or mores type of atoms that have the same atomic number but different nucleon numbers due to the different number of neutron in the nuclei.

The reason why three atoms of magnesium has different masses is due to Isotropy.

The differences in masses of the three magnesium atom is due to there differences in there neutron number.

The differences in masses is caused by the differences of their neutron number.

learn more about isotopy here: https://brainly.com/question/25305592?referrer=searchResults

Please help....thank you

Answers

Answer:

a. volcanic changes create new land

The greater the resistance, the less current there is for a given voltage.
Please select the best answer from the choices provided
True
False
❤️❤️❤️

Answers

Answer:

The answer is True.

What mass of calcium chloride is required to prepare 3.20 L of 0.850 M of calcium chloride solution?

Answers

Answer:

301.92 g of CaCl2.

Explanation:

The following data were obtained from the question:

Volume of CaCl2 solution = 3.20 L

Molarity of CaCl2 solution = 0.850 M

Mass of CaCl2 =?

Next, we shall determine the number of mole of CaCl2 in the solution. This can be obtained as illustrated below:

Volume of CaCl2 solution = 3.20 L

Molarity of CaCl2 solution = 0.850 M

Mole of CaCl2 =?

Molarity = mole /Volume

0.850 = mole of CaCl2 /3.20

Cross multiply

Mole of CaCl2 = 0.850 × 3.20

Mole of CaCl2 = 2.72 moles

Finally, we shall determine the mass of the CaCl2 needed to prepare the solution as follow:

Mole of CaCl2 = 2.72 moles

Molar mass of CaCl2 = 40 + (2×35.5)

=40 + 71

= 111 g/mol

Mass of CaCl2 =?

Mole = mass /Molar mass

2.72 = mass of CaCl2 /111

Cross multiply

Mass of CaCl2 = 2.72 × 111

Mass of CaCl2 = 301.92 g

Therefore, 301.92 g of CaCl2 is needed to prepare the solution.

Help DUE MONDAY!!!


Dldm

Answers

Time to slide down : 2.4 s

Further explanation

Given

total length of slide = 12 m

Randy's speed = 5 m/s

Required

time to slide down

Solution

Randy's motion can be said to be a straight, regular motion at a constant speed

Can be formulated

d = v x t

d = distance, m

v = velocity, m / s

t = time, s

we plug in the known values in the formula

[tex]\tt t=\dfrac{d}{v}\\\\t=\dfrac{12~m}{5~m/s}\\\\t=2.4~s[/tex]

What is immigration and emigration

Answers

immigration is moving from current place to somewhere else whereaese emigration is reverse of it .

Answer:

well for me I think

Explanation:

immigration is the movement which involves an individual moving from a present place to another environment

That is going out

WHILE

Emigration is the process where a person comes into a particular environment

That means coming in

How many moles are in 11.0 grams of methane (CH4)?

Answers

If I’m not mistaken it should be 16.04246.

The Earth's hours is it spinning on its axis, and it takes 24​

Answers

Answer:

yes? is there a question...

Explanation:

Answer:

24 hours

Explanation:

Earth spins on its axis once in every 24-hour day. At Earth's equator, the speed of Earth's spin is about 1,000 miles per hour (1,600 km per hour).

The density of a gas is 1.26 g/L at STP. What is the mass of 1 mole? What could this gas be?

Answers

Answer: Molar mass=28.224g/mol, The gas could be Nitrogen gas

Explanation:

Density is calculated as  Molar mass/ Molar Volume

Recall that

One mole of an ideal gas at (STP) standard temperature and pressure = 22.4 liters (in Volume)

Given That Density =1.26 g/L

Volume = 22.4L at STP,

Molar mass = Density x Molar Volume

= 1.26 g/L x 22.4L =28.224g

Therefore, if  1  mole of this gas has a mass of 28.224g  then  its molar mass is equal to 28.224g/mol

The molar mass of Nitrogen =  28.014 g/moL, so we can conclude the the gas could be Nitrogen

how many moles of NO are formed from 2.5 moles of NO2 if there is plenty of water present

Answers

Moles of NO formed : 0.833

Further explanation

Given

2.5 moles of NO2

Required

moles of NO formed

Solution

Reaction

3 NO₂(g) + H₂O(l) = 2 HNO₃(aq) + NO(g)

The reaction coefficient in a chemical equation shows the mole ratio of the compounds in the reactants and products

From the equation, mol ratio of NO₂ and NO = 3 : 1, so moles of NO :

[tex]\tt moles~NO=\dfrac{1}{3}\times 2.5\\\\moles~NO=0.833[/tex]

Write out the electron configurations of the ions below and determine which one is listed with an incorrect charge. (the numbers and charges written after the elemental symbol should be understood as superscripts)
A. I-
B.O2+
C. Al3+
D. Mg2+
E. none of the above

Answers

Answer:

I think B. O2+

Explanation:

Answer:

B

it must be O2- not O2+, because it's an anion not a cation.

What ratio of concentration of ammonia and ammonium chloride should be mixed to
prepare a buffer solution of pOH 5? (Kb for NH3 =1.8 x 10-4)​

Answers

The ratio of concentration of ammonia and ammonium chloride : 0.05

Further explanation

Given

pOH=5

Kb for NH3 =1.8 x 10-4

Required

The ratio of concentration of ammonia (NH₃) and ammonium chloride(NH₄Cl)

Solution

Solutions containing ammonia and its salt: ammonium chloride are called alkaline buffers

Can be formulated : ( for the same of the volume, mol=concentration)

[tex]\tt \displaystyle [OH-]=Kb\times\frac{weak\:base\:mole}{salt\:mole\times valence}[/tex]

pOH=-log [OH⁻]

pOH=5⇒[OH⁻]=10⁻⁵

Valence for NH₄Cl = 1, so the concentration ratio :

[tex]\tt 10^{-5}=1.8\times 10^{-4}\times \dfrac{[~NH_3]}{[NH_4Cl]}\\\\0.05=\dfrac{[~NH_3]}{[NH_4Cl]}[/tex]

3Ba2+(aq) + 2PO43−(aq) ⇌ Ba3⎛⎝PO4⎞⎠2(s). Is Kc> 1, < 1, or ≈ 1?

Answers

Answer:

Kc < 1

Explanation:

Since the product formed is in solid state, from law of mass action.

Kc = 0

[Ba2+]³[PO4³-]²

hence Kc is 0

Which event would most likely lead to a thunderstorm g i v i n g b r a i n l e s i t HELP
--

Answers

Answer:

A

Explanation:

hope it helps

Answer:

A

Explanation:

I got right

Help! Please! Fast! Please!

Answers

Answer:

The amplitude is higher for wave 2

Explanation:

Amplitude is the height of the wave at the greatest point

What is the mass, in grams, of 50.0L of N2 at STP?

Answers

Hey there!:

Molar mass N₂ = 28.0134 g/mol

28.0134 g ------------------- 22.4 L (at STP )

mass  N₂ -------------------- 50.0 L

mass N₂ = 50.0 x 28.0134 / 22.4

mass N₂ = 1400.67 / 22.4

mass N₂ = 62.529 g

Hope this helps!

magnesium sulfide + nitric acid net ionic

Answers

Answer:

MgSO_3(s) + 2 HNO_3(aq) rightarrow Mg^2+(aq) + 2 NO_3^-(aq) + SO_2(g) + H_2O(l) b.

Explanation:

The balanced net ionic equation for the reaction of magnesium sulfite with nitric acid is a. MgSO_3(s) + 2 HNO_3(aq) rightarrow Mg^2+(aq) + 2 NO_3^-(aq) + SO_2(g) + H_2O(l) b.

for tour substances.
Melting and Boiling
Points of Substances
Name
Melting Boiling
Point (°C) Point (°C)
-101
-35
-210
- 196
Chlorine
Nitrogen
Oxygen
Hydrogen
-218
183
-259
-253
Which substance is a solid at -200°C?

Answers

Oxygen would be the answer because melting point is top

A sample of radioactive material starts with 80 grams. After 3 half-lives have passed, how much radioactive sample remains?

Answers

Answer:

I want to say 10 grams

Explanation:

80 grams is your start

and a half-life is half of that so...

half of 80 ( and or 80/2)

40 grams

then another half is...

half of 40 (and or 40/2)

20 grams

then another half-life is...

half of 20 (and or 20/2)

10 grams

That is 3 half-life of 80 grams

*becareful not to just divide 80 / 3 you will get 26.666 (repeating) that is  incorrect

you want a half of a half of a half

Why is light a wave?​

Answers

Answer:

an electromagnetic wave

Explanation:

current divides between the available path?

Answers

The current divides according to the resistance; more current in the lower resistance, less in the higher resistance. This is called “parallel branches” or paths. The voltage is the same for both (all) branches.

Please help Fast i dont Know

Answers

the answer should be B the rate at which work is accomplished

Please help will give brainliest

Answers

Answer:

the answer id D

Explanation:

i dont know im just living here 5

Which activity is an example of chemical change?

Answers

An old penny rusting, remember you can’t undo a chemical change

For calcium-42, How many protons,
neutrons and electrons are present,
respectively.
A. 20, 42, 20
B. 20, 22, 20
C. 20, 22, 18
D. 42, 20, 20

Answers

Answer:

B. 20, 22, 20

Explanation:

The atomic number (Z) of calcium is 20, that is, it has 20 protons.

The mass number (A) of calcium-42 is 42. The mass number is equal to the sum of protons and neutrons. Then,

p⁺ + n⁰ = 42

n⁰ = 42 - p⁺

n⁰ = 42 - 20

n⁰ = 22

Since calcium is electrically neutral, it has the same number of protons (+) and electrons (-). Then, calcium has 20 electrons.

What is the concentration of a solution made by diluting 35 mL of 6.0 M HCl to a final volume of 750 mL?


If 2.49g of CuNO3 is dissolved in water to make O.830M solution, what is the volume of the solution in milliliters?


How many moles of NaOH are present in 13.5mL of 0.17 M NaOH?





Answers

Answer:

1. 0.28M

2. 24mL

3. 0.002295moles of NaOH.

Explanation:

1. The 6.0M HCl solution is diluted from 35mL to 750mL, that is:

750mL / 35mL = 21.43 times

The 6.0M HCl solution is diluted 21.43 times, the final concentration is:

6.0M / 21.43 = 0.28M

2. First, we need to convert grams of CuNO3 to moles and then, as molarity is moles per liter we can solve for volume of solution in liters and convert it to mililiters:

Moles CuNO3 -Molar mass 124.9g/mol:

2.49g * (1mol / 124.9g) = 0.020 moles of CuNO3

Volume is:

0.020 moles * (1L / 0.830mol) = 0.0240L * (1000mL / 1L) = 24mL

3. In 13.5mL = 0.0135L of 0.17M NaOH the moles are:

0.0135L * (0.17mol / L) = 0.002295moles of NaOH

A typical home instant pot has an internal volume of 6.5 Liters. If the steam inside an instant pot with an internal pressure of 191.0 kPa and a temperature of 750.0 K was released into the atmosphere at 101.3 kPa and 298K, what volume with the steam occupy in the atmosphere?

Answers

Answer: V2 = 4.8696 L is the volume occupied by the steam in the atmosphere

We can use the combined gas law to solve this problem.

Combined gas law: P1 V1 / T1 = P2 V2 / T2

(191.0 kPa)(6.5 L) / (750.0 K) = (101.3 kPa)(V2) / (298 K)

Now we solve for V2;

1241.5 / 750 = 101.3 / 298

Now we cross-multiply;

369967 = 75975x

Divide by 75975 on each side;

369967 / 75975 = 75975x / 75975

Round our answer to sig figs;

x (aka V2) = 4.8696 L is the volume occupied by the steam in the atmosphere

Describe the reaction of zinc with sulphuric acid​

Answers

Answer:

Zinc reacts with dilute sulphuric acid to produce hydrogen gas (H2) and zinc sulphate. This is an example of displacement reaction of a non-metal by a metal. ... ZnSO4 is different in chemical composition and chemical properties than Zn and H2SO4 so it is a chemical change.

Answer:

Reaction of Zinc with Dilute Sulphuric Acid

Zinc is more reactive than hydrogen and it displaces hydrogen from dilute acids. Zinc reacts with dilute sulphuric acid to form zinc sulphate and hydrogen gas is evolved. This is a single displacement reaction of a non-metal by a metal. ... So, this reaction is a chemical change.

Symbol #e" Orbital diagram and electron configuration can someone help

Answers

N - 7 - 1s2 2s2 2p3

O - 16 - 1s2 2s2 2p6 3s2 3p4

Mn - 25 - 1s2 2s2 2p6 3s2 3p6 4s2 3d5

Ga - 31 - 1s2 2s2 2p6 3s2 3p6 4s2 3d10 4p1

Other Questions
What travels by vibrating particles? Mechincal Waves or ElecrtoMagnetic Waves. HelpIt is just a review Pls help me with this :) Kayla bought a book for $13 . She now has $47 . How much did Kayla have before she bought the book? find the least number that must be added to 1400 so as to get a perfect squre. full explanation Breathing is an involuntary process controlled by the respiratory centre in medulla oblongata.What happens to the rate of respiration of a climber at the peak of a mountain? (4 marks) Please help giving the answer and explaining it briefly to mee.. I will give brainliest :) messageIsabella, Marcus, Carl, Devon, and Taylor are to be seated together in a row. If Carl and Devon must sit next to each other, how many different ways can the five people be arranged? Which layer affects the oceanic and continental plates here on Earth? QUICK HELP!!!____ living cells can be the trigger for cancers.What is the missing word in this sentence? Westsyde Tool Company is expected to pay a dividend of $2 in the upcoming year. The risk-free rate of return is 6%, and the expected return on the market portfolio is 12%. Analysts expect the price of Westsyde Tool Company shares to be $29 a year from now. The beta of Westsyde Tool Company's stock is 1.2. Using a one-period valuation model, the intrinsic value of Westsyde Tool Company stock today is ________. In "Senor Noboa," why do the laborers turn their backs and refuse to look at Senor Noboa when he comes to visit? *when you look up every math question instead of using your brain*Me:..... Chu Company provided the following information related to its inventory sales and purchases for December Year 1 and the first quarter of Year 2: Dec. Year 1 Jan. Year 2 Feb. Year 2 Mar. Year 2 (Actual) (Budgeted) (Budgeted) (Budgeted)Cost of goods sold$30,000 $60,000 $80,000 $50,000 Desired ending inventory levels are 34% of the following month's projected cost of goods sold. Budgeted purchases of inventory in February Year 2 would be: How many choices are in the sample space of drawing a club out of a deck of 52 cards?A. 13 choicesB. 52 choicesC. 26 choicesD. 12 choices How can u find the perimeter in a graph need help again math 7th grade Find the area of the irregular figure6 in.10 in.9 inA = [ ? ]in.26 in.7 in.5 in. which answer best shows the central theme of egyptian art and architecture?a. agriculture b. religion c. technology d. trade PLEASE HELP ME IGNORE MY ANSWER im literally gonna cry . what is this