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Tanya [424]
2 years ago
5

A closed system consists of 0.3 kmol of octane occupying a volume of 5 m³. Determine (a) the weight of the system, in N, and (b)

the molar- and mass-based specific volumes, in m³/kmol and m³/kg respectively. Let g=9.81m/s².
Engineering
1 answer:
Leni [432]2 years ago
7 0

Answer:

a) m=336.18N

b) Vn=16.67m/kmol

Vm=0.1459m^3/kg

Explanation:

To calculate the mass of the octane(m):

Number of mole of octane (n) =0.3kmol(given)

Molarmass of octane (M) =114.23kg/kmol

m=n*M

m=(0.3kmol)*(114.23kg/kmol)

m=34.269kg

To calculate for the weight of octane(W):

W=g*m

W=(9.81m/s^2)*(34.269kg)

W=336.18N

b) For specific volumes of Vn and Vm:

Given volume of octane (V) =5m^3

Vm=V/m

Vm=5m^3/34.269kg

Vm=0.1459m^3/kg

And Vn will be :

Vn=V/m=5m^3/0.3kmol

Vn=16.67m/Kmol

Therefore, the answers are:

a) m=336.18N

b) Vn=16.67m/kmol

Vm=0.1459m^3/kg

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Where are revolved sections placed in a print? A) in between break lines B) cutting planes are used to identify their locations
Svetach [21]

Answer:

B. Cutting planes are used to identify their locations.

Explanation:

Revolved view is a cross section view of revolved 90 degrees around a cutting plane projections. The revolved view of print will differ from a cross sectional view. It includes a line nothing the axis of revolution for the view. The correct answer is B. The revolved section in the prints has cutting planes that will be used to identify their location.

6 0
2 years ago
(a) If 5 x 10^17 phosphorus atoms per cm3 are add to silicon as a substitutional impurity, determine the percentage of silicon a
Y_Kistochka [10]

Answer:

The percentage of silicon atoms per unit volume that are displaced in the single crystal lattice = 0.001 %

The percentage of silicon atoms per unit volume that are displaced in the single crystal lattice with boron atoms = 0.4 ×10^{-5} %

Explanation:

No. of phosphorus atoms = 5 × 10^{17} \ cm^{-3}

The volume occupied by a single Si atom

V_{si} = \frac{a^{3} }{8}

V_{si} = \frac{5.43^{3}(10^{-8} )^{3}  }{8}

V_{si} = 2 × 10^{-23} \frac{cm^{3} }{atom}

n_{si} = \frac{1}{V_{si} }

n_{si} = 5 × 10^{22} \frac{atoms}{cm^{3} }

PCT = \frac{N_p}{N_{si}}   100

Put the values in above equation we get

PCT = \frac{5 (10^{17} )}{5 (10^{22}) } 100

PCT = 10^{-3} = 0.001 %

These are the percentage of silicon atoms per unit volume that are displaced in the single crystal lattice.

(b).

No. of boron atoms = 2 × 10^{15} \ cm^{-3}

The volume occupied by a single Si atom

V_{si} = \frac{a^{3} }{8}

V_{si} = \frac{5.43^{3}(10^{-8} )^{3}  }{8}

V_{si} = 2 × 10^{-23} \frac{cm^{3} }{atom}

n_{si} = \frac{1}{V_{si} }

n_{si} = 5 × 10^{22} \frac{atoms}{cm^{3} }

PCT = \frac{N_p}{N_{si}}   100

Put the values in above equation we get

PCT = \frac{2 (10^{15} )}{5 (10^{22}) } 100

PCT = 0.4 ×10^{-5} %

These are the percentage of silicon atoms per unit volume that are displaced in the single crystal lattice.

7 0
2 years ago
The flow through a closed, circular sectioned pipe may be metered by measuring the speed of rotation of a propeller having its a
spin [16.1K]

Answer:

\frac{Q}{ND_{pi}^{3}}=(\frac{Vis}{pND_{pi}^{2}} )(\frac{D_{pr}}{D_{pi}} )

Explanation:

To solve this problem we have to make a dimensional analysis:

First, we have to write the variables involved and their dimensions:

1. Volume flow rate = Q

2. Speed of rotation= N

3. Density =ρ

4. Viscosity = Vis

5. Propeller diameter= D_{pr}

6. Pipe diameter= D_{pi}

Second, we have to write the fundamental dimensions:

Lenght = L

Mass= M

Time =T

Third, we must express the variable we want to know as a product of the other variables and to each variable we have to assign a respectic exponent:

Q=(N^{a})(p^{b})(Vis^{c})(D_{pi} ^{d})(D_{pr} ^{e})

We have to express the variables with the fundamental dimensions:

(L^{-3}T^{-1})=(T^{-1} )^{a}(ML^{-3} )^{b}(ML^{-1}T^{-1} )^{c}(L)^{d}(L)^{e}

Fourth, developing and agrupating the similar terms, we have:

L^{3}=L^{(-3b-c+d+e)}

T^{-1}=T^{(-a-c)}

0=M^{(b+c)}

From the previous equations we deduce:

a=1-c

b=-c

d=3-2c-e

Now, we have to substitute the found exponents into the first equation that we wrote:  

Q=(N^{a})(p^{b})(Vis^{c})(D_{pi} ^{d})(D_{pr} ^{e})

Q=(N^{1-c})(p^{-c})(Vis^{c})(D_{pi} ^{3-2c-e})(D_{pr} ^{e})

Developing and Agrupating the terms with the same exponent we get:

Q=(\frac{Vis}{pND_{pi}^2} )^c(ND_{pi}^3)(\frac{D_{pr}}{D_{pi}} )^e

Finally, the three non-dimensional group terms which describe the volume flow rate in terms of the relevant parameters of the system are:

\frac{Q}{(ND_{pi}^3)} =(\frac{Vis}{pND_{pi}^2} )^c(\frac{D_{pr}}{D_{pi}} )^e

7 0
2 years ago
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