Match the following items. Match the items in the left column to the items in the right column. 1. general or nonspecific observ
ation best fit curve 2. educated guess quantitative 3. when two variables change in the same direction, one remaining larger than the other by the same factor theory 4. "measured" observation control 5. standard, reference data, or experiment qualitative 6. a presently accepted explanation of how something happens law 7. a statement that explains what something does under the same conditions hypothesis 8. a curve drawn to average the data's deviations direct relationship
1 answer:
when column B is like the attached pic: (missing in your question)
so the matches will be like that:
1- Qualitative :
as Qualitative is a general or nonspecific observation, they also don't require
measurements and even can't be measured, that is because of the reality is
being approximated only. It describes qualities and uses opinion
2- Hypothesis :
as a hypothesis is an educated guess quantitative, and it is a prediction stated
in " If and then " form. a hypothesis to be valid need a research such as:
-Encyclopedia & state and local research facilities & scientific journals.
3- Direct relationship:
as a Direct relationship is when two variable change in the same direction,
and one remaining larger than the other by the same factory.
- this is a type of a relationship in which there is a change with one variable, and corresponding with the change in the other. and because this corresponding change with the other variable in the same direction so it refers to a positive relationship.
4- Quantitative:
as Quantitative is a measured observation, It's an information or data based
on quantities obtained. And using numbers, equipment and standard units.
5- Control :
as control is standard, reference data or experiment qualitatively. this is what
you compare your experimental results to. This is for comparing results, it
used as a standard for comparison and use baseline measurements to use in
the comparing.
6- Theory :
as Theory is a presently accepted explanation of how something happened.
Scientifically acceptable general principles to explain phenomena. It the
general or abstract principles of the science. for example the wave theory of
light.
7- Law :
as a law is a statement that explains what something does under the same
conditions. when we take about law in science, it is a general rule to explain
the observations in the form of a mathematical statement. Scientific law may
be stated in words or expressed as a mathematical equations.
8- Best fit curve:
as best fit curve is a curve drawn to average the data's deviations direct
relationship. It is a process of constructing a curve that has best fit to a
series of data points.
so the matches will be like that:
1- Qualitative :
as Qualitative is a general or nonspecific observation, they also don't require
measurements and even can't be measured, that is because of the reality is
being approximated only. It describes qualities and uses opinion
2- Hypothesis :
as a hypothesis is an educated guess quantitative, and it is a prediction stated
in " If and then " form. a hypothesis to be valid need a research such as:
-Encyclopedia & state and local research facilities & scientific journals.
3- Direct relationship:
as a Direct relationship is when two variable change in the same direction,
and one remaining larger than the other by the same factory.
- this is a type of a relationship in which there is a change with one variable, and corresponding with the change in the other. and because this corresponding change with the other variable in the same direction so it refers to a positive relationship.
4- Quantitative:
as Quantitative is a measured observation, It's an information or data based
on quantities obtained. And using numbers, equipment and standard units.
5- Control :
as control is standard, reference data or experiment qualitatively. this is what
you compare your experimental results to. This is for comparing results, it
used as a standard for comparison and use baseline measurements to use in
the comparing.
6- Theory :
as Theory is a presently accepted explanation of how something happened.
Scientifically acceptable general principles to explain phenomena. It the
general or abstract principles of the science. for example the wave theory of
light.
7- Law :
as a law is a statement that explains what something does under the same
conditions. when we take about law in science, it is a general rule to explain
the observations in the form of a mathematical statement. Scientific law may
be stated in words or expressed as a mathematical equations.
8- Best fit curve:
as best fit curve is a curve drawn to average the data's deviations direct
relationship. It is a process of constructing a curve that has best fit to a
series of data points.
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Answer:
a
The radius of an impurity atom occupying FCC octahedral site is
b
The radius of an impurity atom occupying FCC tetrahedral site is .
Explanation:
In order to get a better understanding of the solution we need to understand that the concept used to solve this question is based on the voids present in a unit cell. Looking at the fundamentals
An impurity atom in a unit cell occupies the void spaces. In FCC type of structure, there are two types of voids present. First, an octahedral void is a hole created when six spheres touch each other usually placed at the body center. On the other hand, a tetrahedral void is generated when four spheres touch each other and is placed along the body diagonal.
Step 1 of 2
(1)
The position of an atom that fits in the octahedral site with radius is as shown in the first uploaded image.
In the above diagram, R is the radius of atom and a is the edge length of the unit cell.
The radius of the impurity is as follows:
The relation between radius of atom and edge length is calculated using Pythagoras Theorem is shown as follows:
Consider as follows:
Substitute as
and
as a and
as a in above equation as follows:
Substitute value of aa in equation (A) as follows:
The radius of an impurity atom occupying FCC octahedral site is
Note
An impure atom occupies the octahedral site, the relation between the radius of atom, edge length of unit cell and impure atom is calculated. The relation between the edge length and radius of atom is calculated using Pythagoras Theorem. This further enables in finding the radius of an impure atom.
Step 2 of 2
(2)
The impure atom in FCC tetrahedral site is present at the body diagonal.
The position of an atom that fits in the octahedral site with radius rr is shown on the second uploaded image :
In the above diagram, R is the radius of atom and a is the edge length of the unit cell.
The body diagonal is represented by AD.
The relation between the radius of impurity, radius of atom and body diagonal is shown as follows:
In
For calculation of AD, AB is determined using Pythagoras theorem.
Substitute as a and
as a in above equation as follows:
Also,
Substitute value of for
in equation (1) as follows:
Therefore, the length of body diagonal is calculated using Pythagoras Theorem in as follows:
Substitute as
a and
as a in above equation as follows:
For calculation of radius of an impure atom in FCC tetrahedral site,
Substitute value of AD in equation (B) as follows:
Substitute a as in above equation as follows:
The radius of an impurity atom occupying FCC tetrahedral site is .
Note
An impure atom occupies the tetrahedral site, the relation between the radius of atom, edge length of unit cell and impure atom is calculated. The length of body diagonal is calculated using Pythagoras Theorem. The body diagonal is equal to the sum of the radii of two atoms. This helps in determining the relation between the radius of impure atom and radius of atom present in the unit cell.
Answer:
<h2>15.37 moles</h2>Explanation:
To find the number of moles in a substance given it's number of entities we use the formula
where n is the number of moles
N is the number of entities
L is the Avogadro's constant which is
6.02 × 10²³ entities
From the question we have
We have the final answer as
<h3>15.37 moles</h3>Hope this helps you