Answer:
The right wall surface temperature and heat flux through the wall is 35.5°C and 202.3W/m²
Explanation:
Thickness of the wall is L= 20cm = 0.2m
Thermal conductivity of the wall is K = 2.79 W/m·K
Temperature at the left side surface is T₁ = 50°C
Temperature of the air is T = 22°C
Convection heat transfer coefficient is h = 15 W/m2·K
Heat conduction process through wall is equal to the heat convection process so
![Q_{conduction} = Q_{convection}](https://tex.z-dn.net/?f=Q_%7Bconduction%7D%20%3D%20Q_%7Bconvection%7D)
Expression for the heat conduction process is
![Q_{conduction} = \frac{K(T_1 - T)}{L}](https://tex.z-dn.net/?f=Q_%7Bconduction%7D%20%3D%20%5Cfrac%7BK%28T_1%20-%20T%29%7D%7BL%7D)
Expression for the heat convection process is
![Q_{convection} = h(T_2 - T)](https://tex.z-dn.net/?f=Q_%7Bconvection%7D%20%3D%20h%28T_2%20-%20T%29)
Substitute the expressions of conduction and convection in equation above
![Q_{conduction} = Q_{convection}](https://tex.z-dn.net/?f=Q_%7Bconduction%7D%20%3D%20Q_%7Bconvection%7D)
![\frac{K(T_1 - T_2)}{L} = h(T_2 - T)](https://tex.z-dn.net/?f=%5Cfrac%7BK%28T_1%20-%20T_2%29%7D%7BL%7D%20%3D%20h%28T_2%20-%20T%29)
Substitute the values in above equation
![\frac{2.79(50- T_2)}{0.2} = 15(T_2 - 22)\\\\T_2 = 35.5^\circC](https://tex.z-dn.net/?f=%5Cfrac%7B2.79%2850-%20T_2%29%7D%7B0.2%7D%20%3D%2015%28T_2%20-%2022%29%5C%5C%5C%5CT_2%20%3D%2035.5%5E%5CcircC)
Now heat flux through the wall can be calculated as
![q_{flux} = Q_{conduction} \\\\q_{flux} = \frac{K(T_1 - T_2)}{L}\\\\q_{flux} = \frac{2.79(50 - 35.5)}{0.2}\\\\q_{flux} = 202.3W/m^2](https://tex.z-dn.net/?f=q_%7Bflux%7D%20%3D%20Q_%7Bconduction%7D%20%5C%5C%5C%5Cq_%7Bflux%7D%20%20%3D%20%5Cfrac%7BK%28T_1%20-%20T_2%29%7D%7BL%7D%5C%5C%5C%5Cq_%7Bflux%7D%20%20%3D%20%5Cfrac%7B2.79%2850%20-%2035.5%29%7D%7B0.2%7D%5C%5C%5C%5Cq_%7Bflux%7D%20%3D%20202.3W%2Fm%5E2)
Thus, the right wall surface temperature and heat flux through the wall is 35.5°C and 202.3W/m²
Answer:
gas is dioatomic
T_f = 330.0 K
![\eta = 7.07 mole](https://tex.z-dn.net/?f=%5Ceta%20%3D%207.07%20mole)
Explanation:
Part 1
below equation is used to determine the type Gas by determining
value
![\frac{V_{1}}{V_{F}}\gamma=\frac{P_{i}}{P_{f}}](https://tex.z-dn.net/?f=%5Cfrac%7BV_%7B1%7D%7D%7BV_%7BF%7D%7D%5Cgamma%3D%5Cfrac%7BP_%7Bi%7D%7D%7BP_%7Bf%7D%7D)
where V_i and V_f is initial and final volume respectively
and P_i and P_f are initial and final pressure
![\gamma = \frac{ln(P_f/P_i)}{ln(V_i/V_f)}](https://tex.z-dn.net/?f=%5Cgamma%20%3D%20%5Cfrac%7Bln%28P_f%2FP_i%29%7D%7Bln%28V_i%2FV_f%29%7D)
![\gamma = \frac{ln(3.61/1.50)}{ln(151/80.6}](https://tex.z-dn.net/?f=%5Cgamma%20%3D%20%5Cfrac%7Bln%283.61%2F1.50%29%7D%7Bln%28151%2F80.6%7D)
\gamma = 1.38
therefore gas is dioatomic
Part 2
final temperature in adiabatic process is given as
![T_f = T_i*[\frac{v_i}{V_f}](^\gamma-1)](https://tex.z-dn.net/?f=T_f%20%3D%20T_i%2A%5B%5Cfrac%7Bv_i%7D%7BV_f%7D%5D%28%5E%5Cgamma-1%29)
substituing value to get final temperature
![T_f = 260*[\frac{151}{80.6}]^ {(1.38-1)}](https://tex.z-dn.net/?f=T_f%20%3D%20260%2A%5B%5Cfrac%7B151%7D%7B80.6%7D%5D%5E%20%7B%281.38-1%29%7D)
T_f = 330.0 K
Part 3
determine number of moles by using following formula
![\eta =\frac{PV}{RT}](https://tex.z-dn.net/?f=%5Ceta%20%3D%5Cfrac%7BPV%7D%7BRT%7D)
![\eta =\frac{1.013*10^{5}*0.151}{8.314*260}](https://tex.z-dn.net/?f=%5Ceta%20%3D%5Cfrac%7B1.013%2A10%5E%7B5%7D%2A0.151%7D%7B8.314%2A260%7D)
![\eta = 7.07 mole](https://tex.z-dn.net/?f=%5Ceta%20%3D%207.07%20mole)
Answer:
both kinetic energy and potential energy
As light from a star races through our atmosphere, it bounces and bumps through the different layers, bending the light before you see it. Since the hot and cold layers of air keep moving, the bending of the light changes too, which causes the star's appearance to wobble or twinkle.