Answer:
interpersonal.
Explanation:
Out of all the activities performed by Michelle, three activities involves the interpersonal skills.
1. Meeting with city officials
2. Meeting with section managers
3. Handling the complaint filed by an employee
All these activities involves interpersonal skills. Hence, we can say that she had spent her most of the day by using the interpersonal skills.
Answer:
net amount of energy change of the air in the room during a 30-min period = 660KJ
Explanation:
The detailed calculation is as shown in the attached file.
Answer:
0.867
Explanation:
The driver population factor (
)can be estimated using the equation below:

The value of the heavy vehicle factor (
) is determined below:
The values of the
= 2 and
= 3 are gotten from the tables for the RVs, trucks and buses upgrades for passenger-car equivalents. Therefore:
= 1/[1+0.08(2-1)+0.06(3-1)] = 1/[1+0.08+0.12] = 1/1.2 = 0.833
Furthermore, the vp is taken as 2250 pc/(h*In) from the table of LOS criteria for lane freeway using the 15 minutes flow rate. Therefore:
= 3900/[0.8*3*0.833*2250] = 3900/4498.2 = 0.867
Answer:
the temperature of the aluminum at this time is 456.25° C
Explanation:
Given that:
width w of the aluminium slab = 0.05 m
the initial temperature
= 25° C

h = 100 W/m²
The properties of Aluminium at temperature of 600° C by considering the conditions for which the storage unit is charged; we have ;
density ρ = 2702 kg/m³
thermal conductivity k = 231 W/m.K
Specific heat c = 1033 J/Kg.K
Let's first find the Biot Number Bi which can be expressed by the equation:



Bi = 0.0108
The time constant value
is :




Considering Lumped capacitance analysis since value for Bi is less than 1
Then;
![Q= (pVc)\theta_1 [1-e^{\dfrac {-t}{ \tau_1}}]](https://tex.z-dn.net/?f=Q%3D%20%28pVc%29%5Ctheta_1%20%5B1-e%5E%7B%5Cdfrac%20%7B-t%7D%7B%20%5Ctau_1%7D%7D%5D)
where;
which correlates with the change in the internal energy of the solid.
So;
![Q= (pVc)\theta_1 [1-e^{\dfrac {-t}{ \tau_1}}]= -\Delta E _{st}](https://tex.z-dn.net/?f=Q%3D%20%28pVc%29%5Ctheta_1%20%5B1-e%5E%7B%5Cdfrac%20%7B-t%7D%7B%20%5Ctau_1%7D%7D%5D%3D%20-%5CDelta%20E%20_%7Bst%7D)
The maximum value for the change in the internal energy of the solid is :

By equating the two previous equation together ; we have:
![\dfrac{-\Delta E _{st}}{\Delta E _{st}{max}}= \dfrac{ (pVc)\theta_1 [1-e^{\dfrac {-t}{ \tau_1}}]} { (pVc)\theta_1}](https://tex.z-dn.net/?f=%5Cdfrac%7B-%5CDelta%20E%20_%7Bst%7D%7D%7B%5CDelta%20E%20_%7Bst%7D%7Bmax%7D%7D%3D%20%5Cdfrac%7B%20%20%28pVc%29%5Ctheta_1%20%5B1-e%5E%7B%5Cdfrac%20%7B-t%7D%7B%20%5Ctau_1%7D%7D%5D%7D%20%7B%20%28pVc%29%5Ctheta_1%7D)
Similarly; we need to understand that the ratio of the energy storage to the maximum possible energy storage = 0.75
Thus;
![0.75= [1-e^{\dfrac {-t}{ \tau_1}}]}](https://tex.z-dn.net/?f=0.75%3D%20%20%5B1-e%5E%7B%5Cdfrac%20%7B-t%7D%7B%20%5Ctau_1%7D%7D%5D%7D)
So;
![0.75= [1-e^{\dfrac {-t}{ 697.79}}]}](https://tex.z-dn.net/?f=0.75%3D%20%20%5B1-e%5E%7B%5Cdfrac%20%7B-t%7D%7B%20697.79%7D%7D%5D%7D)
![1-0.75= [e^{\dfrac {-t}{ 697.79}}]}](https://tex.z-dn.net/?f=1-0.75%3D%20%20%5Be%5E%7B%5Cdfrac%20%7B-t%7D%7B%20697.79%7D%7D%5D%7D)



t = 1.386294361 × 697.79
t = 967.34 s
Finally; the temperature of Aluminium is determined as follows;




T - 600 = -575 × 0.25
T - 600 = -143.75
T = -143.75 + 600
T = 456.25° C
Hence; the temperature of the aluminum at this time is 456.25° C
Answer:
Explanation:
A plane wall of thickness 2L=40 mm and thermal conductivity k=5W/m⋅Kk=5W/m⋅K experiences uniform volumetric heat generation at a rateq
˙
q
q
˙
, while convection heat transfer occurs at both of its surfaces (x=-L, +L), each of which is exposed to a fluid of temperature T∞=20∘CT
∞
=20
∘
C. Under steady-state conditions, the temperature distribution in the wall is of the form T(x)=a+bx+cx2T(x)=a+bx+cx
2
where a=82.0∘C,b=−210∘C/m,c=−2×104C/m2a=82.0
∘
C,b=−210
∘
C/m,c=−2×10
4
C/m
2
, and x is in meters. The origin of the x-coordinate is at the midplane of the wall. (a) Sketch the temperature distribution and identify significant physical features. (b) What is the volumetric rate of heat generation q in the wall? (c) Determine the surface heat fluxes, q
′′
x
(−L)q
x
′′
(−L) and q
′′
x
(+L)q
x
′′
(+L). How are these fluxes related to the heat generation rate? (d) What are the convection coefficients for the surfaces at x=-L and x=+L? (e) Obtain an expression for the heat flux distribution q
′′
x
(x)q
x
′′
(x). Is the heat flux zero at any location? Explain any significant features of the distribution. (f) If the source of the heat generation is suddenly deactivated (q=0), what is the rate of change of energy stored in the wall at this instant? (g) What temperature will the wall eventually reach with q=0? How much energy must be removed by the fluid per unit area of the wall (J/m2)(J/m
2
) to reach this state? The density and specific heat of the wall material are 2600kg/m32600kg/m
3
and 800J/kg⋅K800J/kg⋅K, respectively.