Question

On another consulting job with Intergalactic Engineering you are order to fix a satellite. This means that you are in a specially designed suit to protect you from the harsh environment of space while you repair the satellite. Your space suit is connected to the space shuttle by a tube that is supplying you with fresh air. This tube has a length of 200 m, a diameter of 5 cm, and an absolute roughness of 0.1 cm. The air within your suit and the tube is at 23 "C and 1 atm of pressure. The gas flow is isothermal performing a spacewalk in You The tube supplying you with air The space shuttle Unexpectedly, the tube detaches from the space shuttle. This causes air to leave your suit, travel down the 200 m of the tube, and exit into the vacuum of space. You know that a person loses consciousness when the ambient pressure drops below 0.57 atm. You must reattach your tube to the air supply before the pressure in your suit drops to this point. A. What is the initial velocity at which the gas exits the end of the tube into space? The pressure of space is 1.3x10-14 kPa (16 marks) B. What is the velocity of the gas exiting the end of the tube into space when the pressure inside the suit is 0.57 atm? (16 marks) What is the initial mass flow rate at which gas leaves your suit? Neglect the contribution of kinetic energy to the flow in this calculation C. (7 marks)

Answer 1

Auaxding to Beraoulli's Theoxem Constant 2 2. P. 2 As here ttube has aion paca alehee Crea are Llorarit kPa 101. 325 kla Suit to be P. 1.3 x 10 labm astamingeleudy aigible heax

Rsprokie T PESSUTE Tenpesatar (k labra 101325 fq 296 °K 2 3eC 287,058 L0L32 5 1.1925 2 87.0S8x 29 6. Nous remain cemsdant Pipe 2 2 Jah01525- 11 -13x]D 41223 mls 5 am O.57 abn. O.S3IDI 32S 53755.25 Pa a S1155.25 - L3 x [0" 3 11,23 ms

alumetnicfousate fort Aman tuke velocitj caue -3 2 ecnua TTd T xoSS gectaM 19635 K1 412.23 0.8094 3 s. flomaxoti Mas 08094L1925 0965