1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Degger [83]
3 years ago
13

Calculate the radius of tantalum (Ta) atom, given that Ta has a BCC crystal structure, a density of 16.6 g/cm, and an atomic wei

ght of 180.9 g/mol. (Avogadro number, 6.023 x 103 atoms/mol).
Chemistry
1 answer:
Ivahew [28]3 years ago
7 0

Answer:

The radius of tantalum (Ta) atom is R = 1.43 \times 10^{-8} \:cm = 0.143 \:nm

Explanation:

From the Body-centered cubic (BBC) crystal structure we know that a unit cell length <em>a </em>and atomic radius <em>R </em>are related through

a=\frac{4R}{\sqrt{3} }

So the volume of the unit cell V_{c} is

V_{c}= a^3=(\frac{4R}{\sqrt{3} } )^3=\frac{64\sqrt{3}R^3}{9}

We can compute the theoretical density ρ through the following relationship

\rho=\frac{nA}{V_{c}N_{a}}

where

n = number of atoms associated with each unit cell

A = atomic weight

V_{c} = volume of the unit cell

N_{a} =  Avogadro’s number (6.023 \times 10^{23} atoms/mol)

From the information given:

A = 180.9 g/mol

ρ = 16.6 g/cm^3

Since the crystal structure is BCC, n, the number of atoms per unit cell, is 2.

We can use the theoretical density ρ to find the radio <em>R</em> as follows:

\rho=\frac{nA}{V_{c}N_{a}}\\\rho=\frac{nA}{(\frac{64\sqrt{3}R^3}{9})N_{a}}

Solving for <em>R</em>

\rho=\frac{nA}{(\frac{64\sqrt{3}R^3}{9})N_{a}}\\\frac{64\sqrt{3}R^3}{9}=\frac{nA}{\rho N_{a}}\\R^3=\frac{nA}{\rho N_{a}}\cdot \frac{1}{\frac{64\sqrt{3}}{9}} \\R=\sqrt[3]{\frac{nA}{\rho N_{a}}\cdot \frac{1}{\frac{64\sqrt{3}}{9}}}

Substitution for the various parameters into above equation yields

R=\sqrt[3]{\frac{2\cdot 180.9}{16.6\cdot 6.023 \times 10^{23}}\cdot \frac{1}{\frac{64\sqrt{3}}{9}}}\\R = 1.43 \times 10^{-8} \:cm = 0.143 \:nm

You might be interested in
How much silver can be produced from 125g of Ag2S
rosijanka [135]

Answer:

108.9g of Silver can be produced from 125g of Ag2S

Explanation:

The compound Ag2S shows that two atoms of Silver Ag, combined with an atom of Sulphur S to form Ag2S. We can as well say the combination ration of Silver to Sulphur is 2:1

•Now we need to calculate the molecular weight of this compound by summing up the molar masses of each element in the compound.

•Molar mass of Silver Ag= 107.9g/mol

•Molar mass of Sulphur S= 32g/mol

•Molecular weight of Ag2S= (2×107.9g/mol) + 32g/mol

•Molecular weight of Ag2S= 215.8g/mol + 32g/mol= 247.8g/mol

•From our calculations, we know that 215.8g/mol of Ag is present in 247.8g/mol of Ag2S

If 247.8g Ag2S produced 215.8g Ag

125g Ag2S will produce xg Ag

cross multiplying we have

xg= 215.8g × 125g / 247.8g

xg= 26975g/247.8

xg= 108.85g

Therefore, 108.9g of Silver can be produced from 125g of Ag2S

3 0
3 years ago
Read 2 more answers
4. What animal resources from other continents benefited South Americans?
Rus_ich [418]
South America's major mineral resources are gold, silver, copper, iron ore, tin, and petroleum. These resources found in South America have brought high income to its countries especially in times of war or of rapid economic growth by industrialized countries elsewhere.
3 0
3 years ago
What are the most common symptoms of acid poisoning
arlik [135]

Answer:

When swallowed, the signs and symptoms may include:

Severe burning and associated pain in the mouth, throat, and food-pipe

Drooling from the mouth

Loss of vision; unable to speak

Inflammation of the throat may cause respiratory difficulties

Sudden reduction in blood pressure (hypotension)

Vomiting blood

On skin contact, the signs and symptoms may include:

Severe skin and tissue burns associated with pain

Severe eye burns associated with pain; loss of vision

When inhaled, the signs and symptoms may include:

Coughing (including coughing-up blood), choking

Heaviness in the chest; chest pain

Bluish discoloration of lips and beneath fingernails

Respiratory difficulties

Reduced blood pressure (hypotension)

Headache and weakness

Increased heart-rate

Collapse

Explanation:

6 0
3 years ago
Read 2 more answers
The Battle of Gettysburg proved to be the turning point of the war. true or false
xxTIMURxx [149]
The Battle of Gettysburg proved to be the turning point of the war.

TRUE
6 0
3 years ago
The properties of each state of a substance are due largely to the degree (amount) of intermolecular bonding.
Viktor [21]

Answer:

true

Explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following elements listed is the least metallic
    11·1 answer
  • Draw a structural formula of the sr configuration of the compound shown below.
    15·1 answer
  • An organic compound, X, will react with calcium metal to produce a salt with the empirical formula CaC4H4O4. What could be the i
    15·1 answer
  • If 1495 J of heat is needed to raise the temperature of a 319 g sample of a metal from 55.0°C to 66.0°C, what is the specific he
    12·1 answer
  • A cart accelerates at 2m/s2 when a force of 60 N is applied. What is the mass of the cart? Formula: F=ma
    15·1 answer
  • Why can’t we overcome the uncertainty predicted by Heisenberg’s principle by building more precise devices to reduce the error i
    10·1 answer
  • How many moles of KI are contained in 258.6 mL of 0.0296 M KI solution?
    6·1 answer
  • If you start with 50 grams of potassium-42, how much will remain after 62.0 hours?
    7·1 answer
  • Which description accurately represents a water molecule
    10·1 answer
  • PLEASE HELP ITS FINAL EXAMS!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!