The factor label method (dimensional analysis) is a method used to solve problems by the given amount and value. Eightbuses can carry 32,000 basketballs.
Dimensional analysis has been also called the unit factor method used to convert the various units and quantities by mathematical computation and equation formation. It can convert the fundamental and derived units.
Given,
1 bus = 12 cars
3 cars = 1 truck
1 truck = 1000 basketballs
If 3 cars have been equal to 1 truck then, 12 cars will be equal to X trucks
Solving for X as:
X = (12 cars × 1 truck) ÷ 3 cars
= 4 trucks
Hence, 4 trucks are equal to 12 cars.
Now, from above it can be said that 1 bus has been equal to 4 trucks.
So, if one bus = 4000 basketballs
8 bus = X basketballs
Solving for X:
X = 4000 × 8
= 32000 basketballs
Therefore, eight buses can contain 32000 basketballs.
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B) C -H
C) O -H
D) H -H
Can anyone explain this one?
Answer:
10%
Explanation:
Out of the original layer, only ten percent is transferred to the next
b) What is the volume of a unit cell?
c) What is the mass of a unit cell?
d) Calculate the approximate atomic mass of the element.
In the given fcc element, a. the number of atoms is 4. b. The volume of a unit cell is . c. Mass of unit cell is . d. The approximate atomic mass of the element is 80.7 amu.
The volume of cube =
The volume of unit cell =
The volume of unit cell =
Mass =
Mass of unit cell =
Mass of unit cell = .
Mass of 1 carbon atom =
Mass of 1 carbon atom =
Mass of 1 carbon atom = 1.992 grams.
atomic mass unit per gram can be given as;
amu/gram =
amu/gram = amu/gram
1 gram = amu
1 amu = 1.661 gram.
The average atomic mass = mass of unit cell amu\gram
= . 1 amu/ 1.661 gram.
= 80.7 amu.
In the given fcc element, a. the number of atoms is 4. b. The volume of a unit cell is . c. Mass of unit cell is . d. The approximate atomic mass of the element is 80.7 amu.
For more information about the face-centered cubic lattice, refer to the link:
A face centered cubic lattice consists of 4 atoms. The volume of the unit cell is 9.22 x 10^-23 cm^3 and the mass is 1.34 x 10^-23 g. The approximate atomic mass of the element is 2.02 amu.
The element is said to crystallize in a face centered cubic lattice. This implies that there is one atom at each corner of the cube (8 corners for a total of 1 atom, since each corner atom is shared among 8 adjacent cubes). There is also one atom on each face of the cube (6 faces for a total of 3 atoms, since each face atom is shared among 2 adjacent cubes). Thus, a total of 4 atoms are present in each unit cell. (a)
The volume of a unit cell (edges for a cube) can be calculated by the formula 'volume = side^3', where side in this case is 4.52 x 10-8cm. Hence, the volume equals (4.52 x 10^-8cm)^3 = 9.22 x 10^-23cm^3. (b)
The density of the substance is given as 1.45g/cm^3. The formula for density is 'mass/volume' which implies that mass can be calculated as 'density x volume'. Hence, the mass of the unit cell is (1.45g/cm^3) x (9.22 x 10^-23 cm^3) = 1.34 x 10^-23 g.(c)
The atomic weight of the element can then be calculated by taking this overall mass and dividing by the number of atoms in a unit cell (4). So, the atomic weight is (1.34 x 10^-23 g) / 4 = 3.35 x 10^-24 g. But atomic weights are usually given in atomic mass units (amu), not grams, and 1 amu = 1.66 x 10^-24 g. Therefore, we have an atomic weight of (3.35 x 10^-24 g) / (1.66 x 10^-24 g/amu) = approximately 2.02 amu. (d)
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