The luminosity of the Sun is 4*10^33 erg/s, and its radius is 7*10^10 cm.

You are tasked with building a solar power plant in the Arizona desert, using solar panels with 10% efficiency. How large an area (km^2) must your solar panels cover to match the power output of a large nuclear powerplant (about a GigaWatt)? Please enter your answer in units of km^2

  1. 👍
  2. 👎
  3. 👁
  1. 1 Watt = 1 J/s = 10^7 erg/s
    1GW = 10^9 J/s
    the area of the sun is
    4pi*(7*10^5 km)^2 = 6.2*10^12 km^2

    So the solar output is

    4*10^17 GW/6.2*10^12km^2
    = 6.452*10^4 GW/km^2

    So, now the question is: how much of that reaches the earth? I guess you need to use the inverse-square law using the distance from the sun.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Science

    1. Which of the following about the suns structure is true? A.The sun has a solid surface. B. The sun has an interior and an atmosphere. * C.The sun's is similar to Earth's; it has a core, mantle, and crust. D. The sun's outermost

  2. science

    the sun sets, fully disappearing over the horizon as you lie on the beach, your eyes 10 cm above the sand. you immediately jump up, your eyes now 130 cm above the sand, and you can again see the top of the sun. If you count the

  3. Precalculus

    Find the distance that the earth travels in nine days in its path around the sun. Assume that a year has 365 days and that the path of the earth around the sun is a circle of radius 93 million miles. [Note: The path of the earth

  4. Astronomy

    The star Polaris has a surface temperature of roughly 6500 K and a radius of approximately 50 solar radii. Find the luminosity of Polaris in terms of the Sun's luminosity.

  1. Physics

    the sun's mass is 1.99*10^30 kg and it has a radius of 6.96*10^8 m.What is the Sun's gravitational field strength at its surface.

  2. Astronomy

    1. What color are stars that are very hot and very bright? A. Red B. Blue C. White D. Yellow 2. During the contraction of a protostar, density increases and ______ rises. A. Nuclear energy B. Dust C. Temperature D. Outflow 3. What

  3. Physics

    The luminosity of the Sun is 4*10^33 ergs/s, and its distance to the Earth is 1.5*10^13 cm. You are tasked with building a solar power plant in the Arizona desert, using solar panels with 10% efficiency. How large an area (km^2)

  4. physics

    The sun radiates like a perfect blackbody with an emissivity of exactly 1. (a) Calculate the surface temperature(K) of the sun, given it is a sphere with a 7.00 multiplied by 108 m radius that radiates 3.80 multiplied by 1026 W

  1. physics

    The mean distance of the planet Neptune from the Sun is 30.05 times the mean distance of Earth from the Sun. a.) Determine how many Earth-years it takes Neptune to orbit the Sun. b.) The mass of the Sun is 1.99 x 10^30 kg, and the

  2. science

    A video shows the objects in the solar system orbiting the sun. Why do objects orbit the sun?(1 point) The sun is releasing heat and pushing objects away. The sun is so bright that objects are forced away. The sun is moving so

  3. Astronomy

    A quasar is observed at a redshift of z=1, which corresponds to a comoving radial distance of 3 Gpc. Its observed bolometric flux is 10^{-12} erg/cm^2/s. An interacting companion galaxy is seen 4 arcsec apart in projection. What

  4. physics

    the rate at which radiant energy from the sun reaches the earth's upper atmosphere is about 1.50kW/m2. the distance from the earth to the sun is 1.50*10^11m, and the radius of the sun is 6.96 * 10^8m. if the sun radiates as an

You can view more similar questions or ask a new question.