Answer:
heat loss per 1-m length of this insulation is 4368.145 W
Explanation:
given data
inside radius r1 = 6 cm
outside radius r2 = 8 cm
thermal conductivity k = 0.5 W/m°C
inside temperature t1 = 430°C
outside temperature t2 = 30°C
to find out
Determine the heat loss per 1-m length of this insulation
solution
we know thermal resistance formula for cylinder that is express as
Rth =
.................1
here r1 is inside radius and r2 is outside radius L is length and k is thermal conductivity
so
heat loss is change in temperature divide thermal resistance
Q = ![\frac{t1- t2}{\frac{ln\frac{r2}{r1}}{2 \pi *k * L}}](https://tex.z-dn.net/?f=%5Cfrac%7Bt1-%20t2%7D%7B%5Cfrac%7Bln%5Cfrac%7Br2%7D%7Br1%7D%7D%7B2%20%5Cpi%20%2Ak%20%2A%20L%7D%7D)
Q = ![\frac{(430-30)*(2 \pi * 0.5 * 1}{ln\frac{8}{6} }](https://tex.z-dn.net/?f=%5Cfrac%7B%28430-30%29%2A%282%20%5Cpi%20%2A%200.5%20%2A%201%7D%7Bln%5Cfrac%7B8%7D%7B6%7D%20%7D)
Q = 4368.145 W
so heat loss per 1-m length of this insulation is 4368.145 W
Answer:
For now the answer to this question is only for partial fraction. Find attached.
Answer:
Objective statements.
Explanation:
An objective statement can be defined as a short statement that explicitly states or describes what a person wants exactly or is looking out for in a particular item.
Objective statements are written to “maximize” or “minimize” a specific value associated with the product needs in order to define the goal or aim of the design process.
This ultimately implies that, objective statements are used by various manufacturing industries or companies to explicitly define the minimum or maximum requirements for the production of its goods.
Explanation:
Note: Refer the diagram below
Obtaining data from property tables
State 1:
![\left.\begin{array}{l}P_{1}=1.25 \text { bar } \\\text { Sat - vapour }\end{array}\right\} \begin{array}{l}h_{1}=234.45 \mathrm{kJ} / \mathrm{kg} \\S_{1}=0.9346 \mathrm{kJ} / \mathrm{kgk}\end{array}](https://tex.z-dn.net/?f=%5Cleft.%5Cbegin%7Barray%7D%7Bl%7DP_%7B1%7D%3D1.25%20%5Ctext%20%7B%20bar%20%7D%20%5C%5C%5Ctext%20%7B%20Sat%20-%20vapour%20%7D%5Cend%7Barray%7D%5Cright%5C%7D%20%5Cbegin%7Barray%7D%7Bl%7Dh_%7B1%7D%3D234.45%20%5Cmathrm%7BkJ%7D%20%2F%20%5Cmathrm%7Bkg%7D%20%5C%5CS_%7B1%7D%3D0.9346%20%5Cmathrm%7BkJ%7D%20%2F%20%5Cmathrm%7Bkgk%7D%5Cend%7Barray%7D)
State 2:
![\left.\begin{array}{l}P_{2}=5 \text { bor } \\S_{2}=S_{1}\end{array}\right\} \quad h_{2}=262.78 \mathrm{kJ} / \mathrm{kg}](https://tex.z-dn.net/?f=%5Cleft.%5Cbegin%7Barray%7D%7Bl%7DP_%7B2%7D%3D5%20%5Ctext%20%7B%20bor%20%7D%20%5C%5CS_%7B2%7D%3DS_%7B1%7D%5Cend%7Barray%7D%5Cright%5C%7D%20%5Cquad%20h_%7B2%7D%3D262.78%20%5Cmathrm%7BkJ%7D%20%2F%20%5Cmathrm%7Bkg%7D)
State 3:
![\left.\begin{array}{l}P_{3}=5 \text { bar } \\\text { Sat }-4 q\end{array}\right\} h_{3}=71-33 \mathrm{kJ} / \mathrm{kg}](https://tex.z-dn.net/?f=%5Cleft.%5Cbegin%7Barray%7D%7Bl%7DP_%7B3%7D%3D5%20%5Ctext%20%7B%20bar%20%7D%20%5C%5C%5Ctext%20%7B%20Sat%20%7D-4%20q%5Cend%7Barray%7D%5Cright%5C%7D%20h_%7B3%7D%3D71-33%20%5Cmathrm%7BkJ%7D%20%2F%20%5Cmathrm%7Bkg%7D)
State 4:
Throttling process ![h_{4}=h_{3}=71.33 \mathrm{kJ} / \mathrm{kg}](https://tex.z-dn.net/?f=h_%7B4%7D%3Dh_%7B3%7D%3D71.33%20%5Cmathrm%7BkJ%7D%20%2F%20%5Cmathrm%7Bkg%7D)
(a)
Magnitude of compressor power input
![\dot{w}_{c}=\dot{m}\left(h_{2}-h_{1}\right)=\left(8 \cdot 5 \frac{\mathrm{kg}}{\min } \times \frac{1 \mathrm{min}}{\csc }\right)(262.78-234 \cdot 45)\frac{kj}{kg}](https://tex.z-dn.net/?f=%5Cdot%7Bw%7D_%7Bc%7D%3D%5Cdot%7Bm%7D%5Cleft%28h_%7B2%7D-h_%7B1%7D%5Cright%29%3D%5Cleft%288%20%5Ccdot%205%20%5Cfrac%7B%5Cmathrm%7Bkg%7D%7D%7B%5Cmin%20%7D%20%5Ctimes%20%5Cfrac%7B1%20%5Cmathrm%7Bmin%7D%7D%7B%5Ccsc%20%7D%5Cright%29%28262.78-234%20%5Ccdot%2045%29%5Cfrac%7Bkj%7D%7Bkg%7D)
![w_{c}=4 \cdot 013 \mathrm{kw}](https://tex.z-dn.net/?f=w_%7Bc%7D%3D4%20%5Ccdot%20013%20%5Cmathrm%7Bkw%7D)
(b)
Refrigerator capacity
![Q_{i n}=\dot{m}\left(h_{1}-h_{4}\right)=\left(\frac{g \cdot s}{60} k_{0} / s\right) \times(234 \cdot 45-71 \cdot 33) \frac{k J}{k_{8}}](https://tex.z-dn.net/?f=Q_%7Bi%20n%7D%3D%5Cdot%7Bm%7D%5Cleft%28h_%7B1%7D-h_%7B4%7D%5Cright%29%3D%5Cleft%28%5Cfrac%7Bg%20%5Ccdot%20s%7D%7B60%7D%20k_%7B0%7D%20%2F%20s%5Cright%29%20%5Ctimes%28234%20%5Ccdot%2045-71%20%5Ccdot%2033%29%20%5Cfrac%7Bk%20J%7D%7Bk_%7B8%7D%7D)
![Q_{i n}=23 \cdot 108 \mathrm{kW}\\1 ton of retregiration =3.51 k \omega](https://tex.z-dn.net/?f=Q_%7Bi%20n%7D%3D23%20%5Ccdot%20108%20%5Cmathrm%7BkW%7D%5C%5C1%20ton%20of%20retregiration%20%3D3.51%20k%20%5Comega)
![\ Q_{in} =6 \cdot 583 \text { tons }](https://tex.z-dn.net/?f=%5C%20Q_%7Bin%7D%20%3D6%20%5Ccdot%20583%20%5Ctext%20%7B%20tons%20%7D)
(c)
Cop:
![\beta=\frac{\left(h_{1}-h_{4}\right)}{\left(h_{2}-h_{1}\right)}=\frac{Q_{i n}}{\omega_{c}}=\frac{23 \cdot 108}{4 \cdot 013}](https://tex.z-dn.net/?f=%5Cbeta%3D%5Cfrac%7B%5Cleft%28h_%7B1%7D-h_%7B4%7D%5Cright%29%7D%7B%5Cleft%28h_%7B2%7D-h_%7B1%7D%5Cright%29%7D%3D%5Cfrac%7BQ_%7Bi%20n%7D%7D%7B%5Comega_%7Bc%7D%7D%3D%5Cfrac%7B23%20%5Ccdot%20108%7D%7B4%20%5Ccdot%20013%7D)
![\beta=5 \cdot 758](https://tex.z-dn.net/?f=%5Cbeta%3D5%20%5Ccdot%20758)