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
Elis [28]
3 years ago
11

Calculate the unit cell edge length for an 85 wt% fe-15 wt% v alloy. All of the vanadium is in solid solution, and, at room temp

erature the crystal structure for this alloy is bcc
Chemistry
1 answer:
Lady bird [3.3K]3 years ago
7 0

Answer is 0.289nm.

Explanation: The wt % of Fe and wt % of V is given for a Fe-V alloy.

wt % of Fe in Fe-V alloy = 85%

wt % of V in Fe-V alloy = 15%

We need to calculate edge length of the unit cell having bcc structure.

Using density formula,

\rho_{ave}=\frac{Z\times M_{ave}}{a^3\times N_A}

For calculating edge length,

a=(\frac{Z\times M_{ave}}{\rho_{ave}\times N_A})^{1/3}

For calculating M_{ave}, we use the formula

M_{ave}= \frac{100}{\frac{(wt\%)_{Fe}}{M_{Fe}}+\frac{(wt\%)_{V}}{M_V}}

Similarly for calculating (\rho)_{ave}, we use the formula

\rho_{ave}= \frac{100}{\frac{(wt\%)_{Fe}}{\rho_{Fe}}+\frac{(wt\%)_{V}}{\rho_V}}

From the periodic table, masses of the two elements can be written

M_{Fe}= 55.85g/mol

M_{V}=50.941g/mol

Specific density of both the elements are

(\rho)_{Fe}=7.874g/cm^3\\(\rho)_{V}=6.10g/cm^3

Putting  M_{ave} and \rho_{ave} formula's in edge length formula, we get

a=\left [\frac{Z\left (\frac{100}{\frac{(wt\%)_{Fe}}{M_{Fe}}+\frac{(wt\%)_{Fe}}{M_{Fe}}}  \right )}{N_A\left (\frac{100}{\frac{(wt\%)_V}{\rho_V}+\frac{(wt\%)_V}{\rho_V}}  \right )}  \right ]^{1/3}

a=\left [\frac{2atoms/\text{unit cell}\left (\frac{100}{\frac{85\%}{55.85g/mol}+\frac{15\%}{50.941g/mol}}  \right )}{(6.023\times10^{23}atoms/mol)\left (\frac{100}{\frac{85\%}{7.874g/cm^3}+\frac{15\%}{6.10g/cm^3}}  \right )}  \right ]^{1/3}

By calculating, we get

a=2.89\times10^{-8}cm=0.289nm

You might be interested in
What is the value of Avogadro's constant?​
diamong [38]

Answer:

6.02214154 x 1023

Explanation:

6 0
3 years ago
Describe the effects of heat on rocks
Monica [59]

Answer:

rocks main constituent is calcium carbonate, which produce carbon dioxide and calcium oxide (quick lime) upon heating

6 0
3 years ago
Bob adds heat to a liquid substance. When enough heat is added,
nikklg [1K]
Bob adds heat to a liquid substance. When enough heat is added, the liquid would undergo a phase transition from the liquid to the vapor phase. This process is called evaporation. It is an endothermic process where heat should be supplied to the system for the process to happen. The temperature of the system, when enough heat is supplied to allow phase transition, is called the boiling point. It is the temperature when the substance starts to boil in turn to a gas or a vapor. The heat that is associated during boiling is called the latent heat of vaporization. It is the heat that is absorbed during the phase change without changing the temperature of the system.
8 0
3 years ago
How long would it take for 1.50 mol of water at 100.0 âc to be converted completely into steam if heat were added at a constant
defon
To convert boiling water to steam, that would involve heat of vaporization. The heat of vaporization for water at atmospheric conditions is: ΔHvap = <span>2260 J/g.

Molar mass of water = 18 g/mol

Q = m</span>ΔHvap = (1.50 mol water)(18 g/mol)(<span>2260 J/g) = 61,020 J

Time = Q/Rate = (61,020 J)(1 s/20 J) = 3051 seconds

In order to express the answer in three significant units, let's convert that to minutes.
Time = 3051 s * 1min/30 s = <em>102 min</em></span>
6 0
3 years ago
Question 1 (Multiple Choice Worth 2 points)
Nookie1986 [14]

The scientific models are used because they allow scientists to make predictions and make it easier for scientists to avoid using data. option A and C is correct.

<h3>What are scientific models?</h3>

The scientific models are those which is given by scientists to allow them to make prediction about anything particular on which they are working or making research for it some examples are plum pudding model for an atom and bohr's model of an atom etc.

The biggest advantage is that scientists do not have to check the given data which are written into books they can perform their experiment and can conclude the data by performing experiment.

Therefore, scientific models are used because they allow scientists to make predictions and make it easier for scientists to avoid using data. option A and C is correct.

Learn more about scientific models, here:

brainly.com/question/1622233

#SPJ1

7 0
2 years ago
Other questions:
  • The mass of a radioactive substance follows a continuous exponential decay model, with a decay rate parameter of 8.1% per day. f
    8·1 answer
  • Which central atom hybridization would you expect in the series bh−4, ch4, nh+4?
    8·1 answer
  • Use this diagram to determine which of the following statements is true.
    13·1 answer
  • Which of the following procedures demonstrates repetition? A. Jeremiah measures the mass of five different strips of metal. He p
    6·2 answers
  • What is extremely lightweight and exists in a cloud orbiting the nucleus
    11·2 answers
  • According to de Broglie, which of these objects does not have a wavelength?
    9·1 answer
  • How many molecules are in 9.95 moles of Co2?
    15·1 answer
  • What element is being oxidized in the following redox reaction? Pb 2+(aq) + NH4 +(aq) - Pb(s) + NO3 (aq)
    8·1 answer
  • How long does it take light to travel from the Earth to the Sun? The speed of light is 2.998×10^5 km/s and the Sun is 1.496×10^8
    6·1 answer
  • HELP!!!
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!