Answer:
4.8°C
Explanation:
The rate of heat transfer through the wall is given by:
![q=\frac{Ak}{L}dT](https://tex.z-dn.net/?f=q%3D%5Cfrac%7BAk%7D%7BL%7DdT)
![\frac{q}{A}=\frac{k}{L}dT](https://tex.z-dn.net/?f=%5Cfrac%7Bq%7D%7BA%7D%3D%5Cfrac%7Bk%7D%7BL%7DdT)
Assumptions:
1) the system is at equilibrium
2) the heat transfer from foam side to interface and interface to block side is equal. There is no heat retention at any point
3) the external surface of the wall (concrete block side) is large enough that all heat is dissipated and there is no increase in temperature of the air on that side
![{k_{fi}= 0.03 W/m.K](https://tex.z-dn.net/?f=%7Bk_%7Bfi%7D%3D%200.03%20W%2Fm.K)
![{L_{fi}= 5 cm = 0.05 m](https://tex.z-dn.net/?f=%7BL_%7Bfi%7D%3D%205%20cm%20%3D%200.05%20m)
![{T_{fi}= 25 \°C](https://tex.z-dn.net/?f=%7BT_%7Bfi%7D%3D%2025%20%5C%C2%B0C)
![{k_{cb} = 0.5 W/m.K](https://tex.z-dn.net/?f=%7Bk_%7Bcb%7D%20%3D%200.5%20W%2Fm.K)
![{L_{cb}= 20 cm = 0.20 m](https://tex.z-dn.net/?f=%7BL_%7Bcb%7D%3D%2020%20cm%20%3D%200.20%20m)
![{T_{cb}= 0 \°C](https://tex.z-dn.net/?f=%7BT_%7Bcb%7D%3D%200%20%5C%C2%B0C)
temperature at the interface
Solving for
will give the temperature at the interface:
![\frac{q}{A}=\frac{k_{fi} }{L_{fi} }(T_{fi} -T_{m})=\frac{k_{cb} }{L_{cb} }(T_{m} -T_{cb})](https://tex.z-dn.net/?f=%5Cfrac%7Bq%7D%7BA%7D%3D%5Cfrac%7Bk_%7Bfi%7D%20%7D%7BL_%7Bfi%7D%20%7D%28T_%7Bfi%7D%20-T_%7Bm%7D%29%3D%5Cfrac%7Bk_%7Bcb%7D%20%7D%7BL_%7Bcb%7D%20%7D%28T_%7Bm%7D%20-T_%7Bcb%7D%29)
![\frac{0.03}{0.05 }(25 -T_{m})=\frac{0.5}{0.2}(T_{m} -0})](https://tex.z-dn.net/?f=%5Cfrac%7B0.03%7D%7B0.05%20%7D%2825%20-T_%7Bm%7D%29%3D%5Cfrac%7B0.5%7D%7B0.2%7D%28T_%7Bm%7D%20-0%7D%29)
![15 -0.6T_{m}=2.5T_{m}](https://tex.z-dn.net/?f=15%20-0.6T_%7Bm%7D%3D2.5T_%7Bm%7D)
![3.1T_{m}=15](https://tex.z-dn.net/?f=3.1T_%7Bm%7D%3D15)
![T_{m}=4.8](https://tex.z-dn.net/?f=T_%7Bm%7D%3D4.8)
Answer:
No
Explanation:
The "need" to build a roller coaster would not be considered an engineering design problem. This would be more of a management/accounting problem because they are the ones that analyze numbers and decide what the amusement park would need in order to maintain/increase profitability by attracting more customers. Therefore, if they "need" a new roller coaster to do so then it becomes their problem. For it to be an engineering design problem the statement should be "the need to design a roller coaster with certain specifics" or something along those lines.
Answer: for ideal situation
T2 = 16.5158K
Work = - 11.4J
For appropriate generalization correlation
T2 = 308.57K
Work = 177.797MJ
Explanation:detailed calculation and explanation is shown in the image below.