Answer:
The required total area is 1.48 m²
Explanation:
Given that,
Latitude = 44+° N
New Mexico,
Latitude= 35+° N
Heat capacity = 4200 J/Kg°C
Temperature = 60°C
Let us assume the input temperature 22°C
Estimate volume of water 100 ltr for 4 person.
We need to calculate the heat
Using formula of heat
![H=mc_{p}\Delta T](https://tex.z-dn.net/?f=H%3Dmc_%7Bp%7D%5CDelta%20T)
![H=mc_{p}(T_{f}-T_{i})](https://tex.z-dn.net/?f=H%3Dmc_%7Bp%7D%28T_%7Bf%7D-T_%7Bi%7D%29)
Put the value into the formula
![H=100\times4200\times(60-22)](https://tex.z-dn.net/?f=H%3D100%5Ctimes4200%5Ctimes%2860-22%29)
...(I)
Let solar radiation for 6 hours/day.
We need to calculate the total energy per unit area
Using formula of energy
![E=1000\times6\times3600\ J/m^2](https://tex.z-dn.net/?f=E%3D1000%5Ctimes6%5Ctimes3600%5C%20J%2Fm%5E2)
![E=21600\ KJ/m^2](https://tex.z-dn.net/?f=E%3D21600%5C%20KJ%2Fm%5E2)
Let the efficiency of collector is 50 %
Then, the total energy per unit area will be
![E=21600\times\dfrac{50}{100}](https://tex.z-dn.net/?f=E%3D21600%5Ctimes%5Cdfrac%7B50%7D%7B100%7D)
....(II)
We need to calculate the required total area
Using equation (I) and (II)
![A=\dfrac{H}{E}](https://tex.z-dn.net/?f=A%3D%5Cdfrac%7BH%7D%7BE%7D)
Where, H = heat
E = total energy
Put the value into the formula
![A=\dfrac{15960}{10800}](https://tex.z-dn.net/?f=A%3D%5Cdfrac%7B15960%7D%7B10800%7D)
![A=1.48\ m^2](https://tex.z-dn.net/?f=A%3D1.48%5C%20m%5E2)
Hence, The required total area is 1.48 m²