Final answer:
The temperature increase of fluid in a pipe due to solar radiation is calculated using the energy absorbed by the pipe, considering factors like the specific heat capacity of the fluid and the geometrical attributes of the pipe.
Step-by-step explanation:
In the context of the question, the temperature increase of fluid per meter of pipe over a period of one minute can be calculated through an energy balance. By assuming all the solar radiation incident on the reflector is absorbed by the pipe, and that the fluid is mineral oil, we can use the properties of the mineral oil and the intensity of solar radiation to determine the temperature change. The thermal output, given in watts, multiplied by the time period, which is one minute in this case, will give the energy input into the system. This energy will cause a temperature change in the mineral oil, which can be calculated using the specific heat capacity of the oil and the mass of oil that is contained within a 1-meter length of the 2.00-cm diameter pipe.
Significance of this calculation lies in the application of such technology to generate thermal energy in areas with high solar insolation, such as the California desert mentioned, which can contribute significantly to energy production and sustainable technological solutions.