A solar heating system has a 25.0% conversion efficiency; the solar radiation incident on the panels is 1 000 W/m2.

What is the increase in temperature of 30.0 kg of water in a 1.00-hperiod by a 4.00-m2-area collector? (cw = 4 186 J/kg⋅°C)a. 14.3°Cb. 22.4°Cc. 28.7°Cd. 44.3°C

Respuesta :

Answer:

Rise in temperature will be [tex]28.7^{\circ}C[/tex]

So option (c) will be the correct answer

Explanation:

We have given solar radiation on the panels [tex]=1000w/m^2[/tex]

25 % of the conversion efficiency = 25 % 1000 = 250

Area is given [tex]A=4m^2[/tex]

So radiated power [tex]P=250\times 4=1000watt[/tex]

Time is given t = 1 hour = 3600 sec

So energy [tex]E=power\times time=1000\times 3600=3.6\times 10^6J-sec[/tex]

Mass of water m = 30 kg

And [tex]c_w=4.186[/tex]

So rise in temperature [tex]\Delta T=\frac{Energy}{m\times c_w}=\frac{3.6\times 10^6}{30\times 4.186}=28.7^{\circ}C[/tex]

So option (c) will be the correct option

ACCESS MORE
ACCESS MORE
ACCESS MORE
ACCESS MORE