High School

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A heat engine utilizes solar energy as its energy source. The heat engine incorporates a solar panel that intercepts a solar radiation flux of 900 \({~W/m}^2\) of panel surface. Assuming that the solar panel absorbs 85% of the incident solar radiation, find the exposed surface area of the solar panel required to yield a thermal efficiency of 20% and a power output of 3.6 \({kW}\) for the heat engine.

a) 47.22 \({~m}^2\)

b) 51.48 \({~m}^2\)

c) 63.24 \({~m}^2\)

d) 72.00 \({~m}^2\)

Answer :

Final Answer:

The exposed surface area of the solar panel required to yield a thermal efficiency of 20% and a power output of 3.6 kW for the heat engine is 51.48 m^2.

Option b) is the correct answer.

Explanation:

1. Calculate the total solar power absorbed by the panel:

Total solar power = Solar radiation fl-u-x × Absorption efficiency

Total solar power = 900 W/m² × 0.85 = 765 W/m²

2. Determine the total power input to the heat engine:

Total power input = Total solar power × Exposed surface area

3.6 kW = 765 W/m² × Exposed surface area

Exposed surface area = 3.6 kW / 765 W/m² = 0.004706 m²

3. Calculate the required exposed surface area:

Exposed surface area = Power output / (Solar radiation fl-u-x × Absorption efficiency × Thermal efficiency)

Exposed surface area = 3.6 kW / (900 W/m² × 0.85 × 0.20) = 51.48 m^2

Option b) 51.48 m^2 is the correct answer.

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