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  [È­°ø] Áø°ø ´©¼³·® °è»ê¹æ¹ý
  ±Û¾´ÀÌ : ½ºÅ×Æij렠 °íÀ¯ID : Stefano     ³¯Â¥ : 16-10-05 21:28     Á¶È¸ : 6809    
(1) <ÀÏÁ¤½Ã°£µ¿¾È ¾Ð·Â º¯È­·ÎºÎÅÍ °ø±â ´©¼³·®À» °è»êÇÏ´Â ¹æ¹ý>
 
System Volume (»ó¼ö) : V
Absolute Temperature(»ó¼ö): T
Vacuum Duration Time: t  (´©¼³Áö¼Ó½Ã°£)
Absolute Pressure Change: Initial, Final :  P1, P2
Molecular Mass of Air:  MW= 28.96  mole-1
 
´©¼³·® °è»ê¹æ¹ý  PV = n R T¸¦ ½Ã°£ t·Î ¹ÌºÐ   ==> V* (¥ÄP/¥Ät) = R*T*(¥Än/¥Ät) ....(1)
 
½Ã°£¿¡µû¸¥ ¾Ð·Âº¯È­(¥ÄP/¥Ät)¸¦ ÀÌ¿ëÇÏ¿© ½Ã°£¿¡ µû¸¥ ¸ô¼öº¯È­(¥Än/¥Ät)¸¦ °è»ê. Áï
 
(¥Än/¥Ät) = (V/RT)*(¥ÄP/¥Ät) ..........................(2)   À̷κÎÅÍ °ø±â Áú·®À¯·®À¸·Î ȯ»êÇÏ·Á¸é ºÐÀÚ·®À» °öÇϸ頵Ê
 
°ø±âÀ¯·®,  (M)air =  (MW)*(¥Än/¥Ät) =  (MW)*(V/RT)*(¥ÄP/¥Ät) ....................................(3)
 
*Âü°í*
»ç¿ëÇÏ´Â ´ÜÀ§´Â ÀÓÀÇ ´ÜÀ§¸¦ ¸ðµÎ »ç¿ëÇصµ µÇÁö¸¸ ´ÜÀ§¿¡ µû¶ó R°ªÀÌ ´Þ¶óÁö°í ¿Âµµ¿Í ¾Ð·Â´Â ¹Ýµå½Ã Àý´ë¾Ð·ÂÀ» »ç¿ëÇÏ¿© °è»ê;  ¾Æ·¡ÀÇ »ç¿ë´ÜÀ§¿¡ µû¸¥ R °ªÀ» »ç¿ëÇÏ¸é µË´Ï´Ù. 
 
R =  P*V/(nT) = 1013.25 mbar*22.414 m3/1kg-mole-273.15K  =83.145 mbar-m3/kg-mole-K
R = 760 torr* 22.414 m3/1kg-mole-273.15K  = 62.364 torr-m3/kg-mole-K
R = 1.033227 kgf/cm2-22.414 m3/1kg-mole-273.15K  = 0.084784 kgf/cm2-m3/kg-mole-K
 
*ÁÖÀÇ*
À§ÀÇ ¹æ¹ýÀ¸·Î °è»êµÈ °ø±â ´©¼³·®Àº ÃøÁ¤Àý´ë¿Â T¿¡¼­ÀÇ À¯·®À¸·Î °è»êµË´Ï´Ù.  ¿Âµµ°¡ ´Þ¶óÁö¸é ´Ù¸¥ ´©¼³À¯·®°ªÀÌ °è»êµÊ¿¡ À¯ÀÇ Çϼ¼¿ä.
 
 
(2) <L-torr/min ȤÀº m3-mbar/min ´ÜÀ§·Î °è»êµÈ °æ¿ìÀÇ ´©¼³·® ȯ»ê>
 
°£È¤ ´©¼³·®ÀÌ L-torr/min ȤÀº m3-mbar/min µî°ú °°ÀÌ ºÎÇÇ*¾Ð·Â °ªÀ¸·Î ÁÖ¾îÁø °æ¿ì°¡ Àִµ¥ À̸¦ °ø±âÀ¯·®À¸·Î ȯ»êÇÏ´Â ¹æ¹ýµµ (1)½Ä°ú À¯»çÇÏ°Ô °è»êÇÏ¸é µË´Ï´Ù.   »ç¿ë´ÜÀ§µµ  µ¿ÀÏÇÕ´Ï´Ù.
 
PV = n R T¸¦ ½Ã°£ t·Î ¹ÌºÐ   ==> (¥ÄPV/¥Ät) = R*T*(¥Än/¥Ät) ..........(1a)
 
´©¼³°ø±â ¸ôÀ¯·® (¥Än/¥Ät) = (1/RT)*(¥ÄPV/¥Ät) ...............................................(2a)
 
´©¼³°ø±â Áú·®À¯·®,  (M)air =  (MW)*(¥Än/¥Ät) =  (MW)*(1/RT)*(¥ÄPV/¥Ät) ........(3a)
 
 
(3) <System Evacuation(Priming) TimeÀ¸·ÎºÎÅÍ °è»êÇÏ´Â ¹æ¹ý >
 
ºÎÇÇV ¸¦ ¾Ë°í ÀÖ´Â System¿¡¼­ 펖ÇÁºÎÇÇÀ¯·® vp¸¦ ¾Ë°íÀÖ´Â ÆßÇÁ¸¦ »ç¿ëÇÏ¿© Àý´ë¾Ð·ÂÀ» P1¿¡¼­ P2·Î ¶³¾î ¶ß¸®´Âµ¥ ¼Ò¿äµÇ´Â ½Ã°£ t·ÎºÎÅÍ ´©¼³·® nlÀÇ °è»ê
 
½Ã½ºÅÛ´©¼³ ¸ô À¯·® nl - ÆßÇÁ¹èÃâ ¸ôÀ¯·®  np = ½Ã½ºÅÛ³» ¸ô¼ö°¨¼Ò¼Óµµ dN/dt ...(4) <---¹°Áú¼öÁö
 
ÆßÇÁ ¹èÃâ ¸ôÀ¯·® -np = P*vp/(RT);  ½Ã½ºÅÛ³» ¸ô¼ö °¨¼Ò¼Óµµ dN/dt = V/(RT)*dP/dt
vp=ÆßÇÁ ºÎÇÇÀ¯·®
 
nl - P*vp/(RT)=V/(RT)*dP/dt ==>  dt = V/(RT)*dP/{nl -P*vp/(RT)} .............(5)
0~t ÀûºÐ. P1~P2±îÁö ³»·Á°¡´Âµ¥ ¼Ò¿äµÇ´Â ½Ã°£t¸¦ °è»ê
 
t = (V/(RT)*(RT)/vp * ln [{nl-P1*vp/(RT)}/{nl-P2*vp/(RT)} = (V/vp) ln [{nl-P1*vp/(RT)}/{nl-P2*vp/(RT)}]
(vp/V)*t = ln [{nl-P1*vp/(RT)}/{nl-P2*vp/(RT)}]    
 
{nl-P1*vp/(RT)}/{nl-P2*vp/(RT)} = exp (vp*t/V)  À̽ÄÀ¸·ÎºÎÅÍ ½Ã½ºÅÛ ´©¼³À¯·® nlÀ» °è»ê:
 
½Ã½ºÅÛ ´©¼³¸ô À¯·® nl = vp/(RT) * (P1 - ¥á*P2)/(1 - ¥á);   ¥á = exp(vp*t/V) ......(6)
 
½Ã½ºÅÛ ´©¼³ °ø±âÁú·®À¯·®  (M)air = nl * (MW)air ..............................................(7) 

   

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