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A spherical ball made of naphthalene is placed in a stagnant air at 1 atm. How long will it take for a ball of 3 cm initial diameter to completely sublime at temperature of 100 ¡ÆC? Data at 100 ¡ÆC and 1 atm.: Vapor Pressure of naphthalene = 10 torr; viscosity of air = 0.0215 cP, diffusivity of naphthalene = 0.94 x 10-5m2/s, and density of naphthalene ball = 1140 kg/m3. )

½ºÅ×Æijë Stefano   10-03-19 11:18
(0) (±³À°»ó)ÀÌ°÷¿¡¼­ ¹®Á¦ Ç®ÀÌ´Â Çص帱 ¼ö°¡ ¾ø½À´Ï´Ù.  ÈùÆ®¸¸ µå¸± »ÓÀÔ´Ï´Ù.  ÈùÆ®·ÎºÎÅÍ ¹®Á¦¸¦ Ç®¾îº¸°í ¿Ã·ÁÁÖ´Â °ÍÀ» ¹Ù¶ó°í ÀÖ½À´Ï´Ù.  ¹®Á¦°¡ Ç®¸®Áö ¾ÊÀ¸¸é ´Ù½Ã Áú¹®ÇØ ÁÖ¼¼¿ä.

(1) ÈùÆ®
1) NaphthaleÀÌ °ø±âÁß¿¡¼­ ½ÂÈ­µÇ¸é¼­ ºÎÇÇ°¡ ÁÙ¾îµç´Ù´Â °ÍÀ» ÀÌ¿ëÇؼ­ ¹®Á¦¸¦ Ç®¾îº¸¼¼¿ä.
2) NaphthaleÀÌ °ø±âÁßÀ¸·Î ½ÂÈ­(¹°ÁúÀü´Þ)µÇ´Â ¼Óµµ´Â Àü´Þ¸éÀû(Ç¥¸éÀû)°ú ³óµµÂ÷¿¡ ºñ·ÊÇÏ°í ±× ºñ·Ê»ó¼ö´Â ¹°ÁúÀü´Þ°è¼ö°¡ µÉ °ÍÀÔ´Ï´Ù. 
3) NaphthaleneÀÇ ºÎÇÇ V =  (¥ð/6)d^3 ==> NaphthaleneÀÇ ½ÂÈ­¼Óµµ(dm/dt)´Â ºÎÇǺ¯È­ ¼Óµµ¿¡ ¹Ðµµ¸¦ °öÇؼ­ ±¸ÇÒ ¼ö ÀÖÀ½ Áï  - dm/dt = - ¥ñ*dV/dt    m=³ªÇÁÅ»·»ÀÇ ³²¾ÆÀÖ´Â ¹«°Ô,  ¥ñ=³ªÇÁÅ»·» ¹Ðµµ,  -dV/dt = ³ªÇÁÅ»·»ÀÇ ºÎÇÇ °¨¼Ò¼Óµµ
4) À§ÀÇ 3)½Ä°ú ¹°ÁúÀü´Þ ¼ö½ÄÀ¸·ÎºÎÅÍ ¾ò¾îÁö´Â ¼ö½ÄÀ» °áÇÕÇÏ¿© °£´ÜÇÑ ¹ÌºÐ¹æÁ¤½ÄÀ» Ç®¾îº¸¼¼¿ä.
   

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