Problem 33.27 You are a NASA engineer faced with the task of ensuring that the m

Question

Problem 33.27

You are a NASA engineer faced with the task of ensuring that the material on the hull of a spacecraft can withstand puncturing by space debris. The initial cabin air pressure in the craft of 1 atm can drop to 0.7 atm before the safety of the crew is jeopardized. The volume of the cabin is 135 m^3 , and the temperature in the cabin is 283 K .
(N2)=4.3×1019m^2

Part A

Assuming it takes the space shuttle about 8 hours from entry into orbit until landing, what is the largest circular aperture created by a hull puncture that can be safely tolerated assuming that the flow of gas out of the spaceship is effusive?

Express your answer to one significant figure and include the appropriate units.

Calculate the mean free path for N2 at 1 atm and a2. (You can assume that the air is adequately represented by N2.)

Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

the mean free path for N2 at 1 atm and a2 is as follows:

(N2) = [RT / P N2 NA] *1/ 2 (N2)

= [8.314 J/ mole –k* *283 K/101325 Pa*6.022*10^23mole-1] *1/ / 2*4.3×1019m^2

= 6..36*10^-8 m

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