Posted by jen on Monday, May 9, 2011 at 12:07am.
To get the total output of the sun, multiply your 1000 W/m^2 by the area of a sphere centered at the sun at Earth's distance, R. That area is 4 pi R^2. Now you will have the power emitted by the sun.
Next, look up the mass of the sun. Assume 1/9 of the mass is hydrogen abnd 8/9 of the mass in oxygen. These ae stoichiometric proportions. Calculate the chemical energy available if it all turns into H2O.
Divide that energy by the known energy release rate of the sun, from the first part. That will give you the time that the hydrogen and oxygen can last.
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