Answer 1: minimum required flow rate of fresh air is 0.57 m^3/ses
Explanation: since the minimum requirement per person is 30 L/sec
Converting to m^3 it becomes
30/1000 = 0.03 m^3/sec
For 19 heavy smoker we will require
19 * 0.03 = 0.57m^3/sec
Answer 2: diameter of the duct will be 0.3m
Explanation: since flow rate is
Q =0.57m^3/sec
Also
Q = AV (continuity equation)
Where A is the duct area and V is the velocity of air flow in m/sec
0.57m^3/sec = A * 8m/sec
A = 0.57/8 = 0.071m^2
Area of the duct is that of a circle
A = 3.142 *(d^2 ÷4)
d^2 = (0.017 * 4)/3.142 = 0.09
d is square root of 0.09
d = 0.3m
Answer:
![97.085\ \text{kPa}](https://tex.z-dn.net/?f=97.085%5C%20%5Ctext%7BkPa%7D)
Explanation:
= Gauge pressure = 2.2 atm = ![2.2\times 101325=222915\ \text{Pa}](https://tex.z-dn.net/?f=2.2%5Ctimes%20101325%3D222915%5C%20%5Ctext%7BPa%7D)
= Absolute pressure = ![3.2\ \text{bar}=3.2\times 10^5\ \text{Pa}](https://tex.z-dn.net/?f=3.2%5C%20%5Ctext%7Bbar%7D%3D3.2%5Ctimes%2010%5E5%5C%20%5Ctext%7BPa%7D)
= Local atmospheric pressure
Absolute pressure is given by
![P_{abs}=P_{atm}+P_g\\\Rightarrow P_{atm}=P_{abs}-P_g\\\Rightarrow P_{atm}=3.2\times 10^5-222915\\\Rightarrow P_{atm}=97085\ \text{Pa}=97.085\ \text{kPa}](https://tex.z-dn.net/?f=P_%7Babs%7D%3DP_%7Batm%7D%2BP_g%5C%5C%5CRightarrow%20P_%7Batm%7D%3DP_%7Babs%7D-P_g%5C%5C%5CRightarrow%20P_%7Batm%7D%3D3.2%5Ctimes%2010%5E5-222915%5C%5C%5CRightarrow%20P_%7Batm%7D%3D97085%5C%20%5Ctext%7BPa%7D%3D97.085%5C%20%5Ctext%7BkPa%7D)
The local atmospheric pressure is
.
It is when you don’t give up and you stand for your rights
The number of trays that should be prepared if the owner wants a service level of at least 95% is; 7 trays
<h3>How to utilize z-score statistics?</h3>
We are given;
Mean; μ = 15
Standard Deviation; σ = 5
We are told that the distribution of demand score is a bell shaped distribution that is a normal distribution.
Formula for z-score is;
z = (x' - μ)/σ
We want to find the value of x such that the probability is 0.95;
P(X > x) = P(z > (x - 15)/5) = 0.95
⇒ 1 - P(z ≤ (x - 15)/5) = 0.95
Thus;
P(z ≤ (x - 15)/5) = 1 - 0.95
P(z ≤ (x - 15)/5) = 0.05
The value of z from the z-table of 0.05 is -1.645
Thus;
(x - 15)/5 = -1.645
x ≈ 7
Complete Question is;
A bakery wants to determine how many trays of doughnuts it should prepare each day. Demand is normal with a mean of 15 trays and standard deviation of 5 trays. If the owner wants a service level of at least 95%, how many trays should he prepare (rounded to the nearest whole tray)? Assume doughnuts have no salvage value after the day is complete. 6 5 4 7 unable to determine with the above information.
Read more about Z-score at; brainly.com/question/25638875
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Answer:
The temperature T= 648.07k
Explanation:
T1=input temperature of the first heat engine =1400k
T=output temperature of the first heat engine and input temperature of the second heat engine= unknown
T3=output temperature of the second heat engine=300k
but carnot efficiency of heat engine =![1 - \frac{Tl}{Th} \\](https://tex.z-dn.net/?f=1%20-%20%5Cfrac%7BTl%7D%7BTh%7D%20%5C%5C)
where Th =temperature at which the heat enters the engine
Tl is the temperature of the environment
since both engines have the same thermal capacities <em>
</em> therefore ![n_{th} =n_{th1} =n_{th2}\\n_{th }=1-\frac{T1}{T}=1-\frac{T}{T3}\\ \\= 1-\frac{1400}{T}=1-\frac{T}{300}\\](https://tex.z-dn.net/?f=n_%7Bth%7D%20%3Dn_%7Bth1%7D%20%3Dn_%7Bth2%7D%5C%5Cn_%7Bth%20%7D%3D1-%5Cfrac%7BT1%7D%7BT%7D%3D1-%5Cfrac%7BT%7D%7BT3%7D%5C%5C%20%5C%5C%3D%201-%5Cfrac%7B1400%7D%7BT%7D%3D1-%5Cfrac%7BT%7D%7B300%7D%5C%5C)
We have now that
![\frac{-1400}{T}+\frac{T}{300}=0\\](https://tex.z-dn.net/?f=%5Cfrac%7B-1400%7D%7BT%7D%2B%5Cfrac%7BT%7D%7B300%7D%3D0%5C%5C)
multiplying through by T
![-1400 + \frac{T^{2} }{300}=0\\](https://tex.z-dn.net/?f=-1400%20%2B%20%5Cfrac%7BT%5E%7B2%7D%20%7D%7B300%7D%3D0%5C%5C)
multiplying through by 300
-![420000+ T^{2} =0\\T^2 =420000\\\sqrt{T2}=\sqrt{420000} \\T=648.07k](https://tex.z-dn.net/?f=420000%2B%20T%5E%7B2%7D%20%3D0%5C%5CT%5E2%20%3D420000%5C%5C%5Csqrt%7BT2%7D%3D%5Csqrt%7B420000%7D%20%20%5C%5CT%3D648.07k)
The temperature T= 648.07k