Answer:
The plot of the function production rate m(t) (in kg/min) against time t (in min) is attached to this answer.
The production rate function M(t) is:
(1)
The Laplace transform of this function is:
(2)
Explanation:
The function of the production rate can be considered as constant functions by parts in the domain of time. To make it a continuous function, we can use the function Heaviside (as seen in equation (1)). To join all the constant functions, we consider at which time the step for each one of them appears and sum each function multiply by the function Heaviside.
For the Laplace transform we use the following rules:
(3)
(4)
Answer:
<em>The maximum efficiency the plant will ever achieve is 75%</em>
<em>Explanation:</em>
From the question given, we recall the following:
<em>Th flames in the boiler reaches a temperature of = 1200K</em>
<em>the cooling water is = 300K</em>
<em>The maximum efficiency the plant will achieve is defined as:</em>
Let nmax = 1 - Tmin /Tmax
Where,
Tmin = Minimum Temperature in plants
Tmax = Maximum Temperature in plants
The temperature of the cooling water = Tmin = 300K
The temperature of the flames in boiler = Tmax = 1200k=K
The maximum efficiency becomes:
nmax = 1 - Tmin /Tmax
nmax = 1 - 300 /1200
nmax = 1-1/4 =0.75
nmax = 75%
Answer:
Explanation:
Initial conditions


Final conditions


Steady flow energy equation
![\dot{m}\left [ h_1+\frac{v_1^2}{2}+gz_1\right ]+\dot{Q}=\dot{m}\left [ h_2+[tex]\frac{v_2^2}{2}+gz_2\right ]+\dot{W}](https://tex.z-dn.net/?f=%5Cdot%7Bm%7D%5Cleft%20%5B%20h_1%2B%5Cfrac%7Bv_1%5E2%7D%7B2%7D%2Bgz_1%5Cright%20%5D%2B%5Cdot%7BQ%7D%3D%5Cdot%7Bm%7D%5Cleft%20%5B%20h_2%2B%5Btex%5D%5Cfrac%7Bv_2%5E2%7D%7B2%7D%2Bgz_2%5Cright%20%5D%2B%5Cdot%7BW%7D)
![\dot{m}\left [ c_pT_1+\frac{0^2}{2}+g0\right ]+\dot{Q}=\dot{m}\left [ c_pT_2+\frac{0^2}{2}+g0\right ]+\dot{W}](https://tex.z-dn.net/?f=%5Cdot%7Bm%7D%5Cleft%20%5B%20c_pT_1%2B%5Cfrac%7B0%5E2%7D%7B2%7D%2Bg0%5Cright%20%5D%2B%5Cdot%7BQ%7D%3D%5Cdot%7Bm%7D%5Cleft%20%5B%20c_pT_2%2B%5Cfrac%7B0%5E2%7D%7B2%7D%2Bg0%5Cright%20%5D%2B%5Cdot%7BW%7D)
![\dot{m}c_p\left [ T_1-T_2\right ]+\left [ -5hp\right ]=\dot{W} -5\times 746\times 3.4121](https://tex.z-dn.net/?f=%5Cdot%7Bm%7Dc_p%5Cleft%20%5B%20T_1-T_2%5Cright%20%5D%2B%5Cleft%20%5B%20-5hp%5Cright%20%5D%3D%5Cdot%7BW%7D%20-5%5Ctimes%20746%5Ctimes%203.4121)
![-4\dot{m}-\dot{m}\times 0.24\times \left [ 400-60\right ]](https://tex.z-dn.net/?f=-4%5Cdot%7Bm%7D-%5Cdot%7Bm%7D%5Ctimes%200.24%5Ctimes%20%5Cleft%20%5B%20400-60%5Cright%20%5D)



PLEASE HELP
NASA scientists have determined that the chance a single person would get hit by a piece of falling satellite is one in 3,200. What can you infer based on this probability?
A. Satellites that enter Earth’s atmosphere land mostly in the ocean.
B. NASA does a good job informing people of when satellites will enter the atmosphere.
C. Satellites that enter Earth’s atmosphere land mostly in unpopulated areas.
D. Much of a satellite is destroyed during the process of entering Earth’s atmosphere.