6. D4 /Po l-3y f A V !\nix 2ydpo + Vol y3/2 where K = constant. 1-y AV Rmix 3/2 2y 2y° + ---r::yPo vol Y When t Therefore .1-y ~Po 2y 1-y 2y "T-y 0, Po p = p. 0 - [ 1-y 0 1 pi. Thus K 2y 1-y pi A~ Vol A~ Vol Setting Vol 7.33 x 10 6 m 3 1.4 Ti 295°K 1-y 2y y+l ~}2{y-T) y+l ( 1 ; y ,----nr=T) po [pi ~ + (3.209xl0-7) A yRmix pi-~t]-? 1-y ,tr;. pi 2y 1-y yr-; 2y pi t This equation relates the pressure in the hull, the initial pressure, the gas constant of the mixture, the hole area, and the time since the leak began. dt=K t=K
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