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If you were to walk briefly in space without a spacesuit while far from the Sun

ID: 1958017 • Letter: I

Question

If you were to walk briefly in space without a spacesuit while far from the Sun (as an astronaut does in the movie 2001,A Space Odyssey), you would feel the cold of space—while you radiated energy, you would absorb almost none from your environment. (a) At what rate would you lose energy? (b) How much energy would you lose in 30.3 s? Assume that your emissivity is 0.946, the Stefan–Boltzmann constant is 5.6704 × 10-8 W/m2-K4 and your's surface area and temperature are 2.22 m2 and 309 K respectively.

Explanation / Answer

assuming that I will loose heat only by radiation
q = (Stefan–Boltzmann constant)*A*emissivity*T4

= 5.6704*10-8*0.946*2.22*3094

= 1085.65 W/m