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  H+ ³óµµ¿¡ °üÇÑ Àǹ®Á¡
  ±Û¾´ÀÌ : ¹é°õTJ   °íÀ¯ID : ptj2507     ³¯Â¥ : 12-04-06 14:38     Á¶È¸ : 5237    
¾È³çÇϼ¼¿ä~ pH¿Í À¯·® °è»ê¿¡ ´ëÇØ Ã£´ø Áß¿¡ ÀÌ·¯ÇÑ ³»¿ëÀ» ºÃ½À´Ï´Ù.
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(1) pH Á¶Àý¿ë [OH-]ÀÇ ¾çÀ» °è»êÇÏ·Á¸é H+ ³óµµÀÇ º¯È­·®À» °è»êÇÏ¸é µË´Ï´Ù.
[H+] in pH 4.5 Water = 10^-4.5 gmole H+/L Water
[H+] in pH 6.5 Water = 10^-6.5 gmole H+/L Water

¥Ä[H+]=10^-4.5 - 10^-6.5 =0.000 031 6-0.000 000 316 =0.000 002 844 g-mole/L

ÇÊ¿äÇÑ [OH-] À¯·® = 400 L/min * 2.844(10^-6) g-mol/L = 0.001 137 g-mol/min = 0.068 251 g-mol/h
¼ø¼ö NaOH À¯·® = (40 g/g-mole)*(0.068 251 g-mol/h) = 2.73 g-NaOH/h

(2) 10½Ã°£ ºÐ ¼ø¼ö NaOH ¼Ò¿ä·® = (2.73 g NaOH/h) *(10 h) = 27.3 g-NaOH
50w% NaOHÀÇ ¾çÀ¸·Î ȯ»ê½Ã ÇÊ¿äÇÑ À¯·® = (27.3 g-NaOH)/(50%/100%)= 54.6 g-50% Solution

50%ÀÇ À¯·®À¸·Î Á¤È®È÷ ¸ÂÃß±â´Â ¾î·Á¿ï °ÍÀÌ°í ¾çÀÌ ³Ê¹« ³ô¾Æ ÃøÁ¤¿ÀÂ÷µµ ´Ã¾î³ª°Ô µÉ °ÍÀ̹ǷΠ³óµµ°¡ ³·Àº ¿ë¾×À» »ç¿ëÇÏ¿© pH¸¦ ¸ÂÃß´Â °ÍÀÌ Çö¸íÇÑ ÀÏÀÔ´Ï´Ù

10 w% »ç¿ë½Ã 273 g
20 w% »ç¿ë½Ã 136.5 g
...
50 % »ç¿ë½Ã 54.6 g
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±Ùµ¥ Àú À§¿¡ ³»¿ëÁß¿¡< ¥Ä[H+]=10^-4.5 - 10^-6.5 =0.000 031 6-0.000 000 316 =0.000 002 844 g-mole/L >
À̺κп¡¼­ ´äÀÌ 0.00003131... Àú´Â ÀÌ·¸°Ô ³ª¿À´Âµ¥ Àú ´äÀÌ ¾î¶»°Ô Àú·¸°Ô ³ª¿À´ÂÁö ¸Å¿ì ±Ã±ÝÇÕ´Ï´Ù.
ÀÚ¼¼È÷  ¾Ë·Á ÁÖ½Ã¸é °¨»çÇÏ°Ú½À´Ï´Ù~!

½ºÅ×Æijë Stefano   12-04-06 21:44
Exponent(Áö¼ö)°ªÀÌ Á¤¼ö¶ó¸é  0.000 001, 0.000 000 001, µîÀ¸·Î ³ª¿À±â ¶§¹®¿¡  µÎ ¼ö¼Ò³óµµ À̿°ªÀÇ Â÷À̸¦ ³ªÅ¸³»¸é
0.000 000 999·Î ³ª¿À°ÚÁö¸¸  Á¤¼ö°ªÀÌ ¾Æ´Ï¶ó¼­ ±×·¸½À´Ï´Ù. 

pH 1ÀÇ Â÷ÀÌ´Â 10¹èÀÇ ³óµµÂ÷°¡ µË´Ï´Ù.  ±×·¯³ª pH 0.5ÀÇ Â÷¶ó°í ÇÏ´õ¶óµµ ³óµµ¿µ¿ªÀÌ ³ôÀº°÷°ú ³·Àº °÷¿¡¼­ÀÇ Â÷´Â ¾ÆÁÖ Å®´Ï´Ù.
¹é°õTJ ptj2507   12-04-06 22:03
Á˼ÛÇÏÁö¸¸ °è»ê½ÄÀ¸·Î ³ªÅ¸³» ÁÖ¸é ¾ÈµÉÁö..?

Á¤È®È÷ ÀÌÇØ°¡ ¾È°©´Ï´Ù ;;
½ºÅ×Æijë Stefano   12-04-09 16:05
(1) Case A... pH 4.5¿¡¼­ pH 6.5·Î ¿Ã¸±¶§ ¼ö¼ÒÀÌ¿Â ³óµµÀÇ º¯È­(Â÷ÀÌ)
[H+] in pH 4.5 Water = 10^-4.5 gmole H+/L Water
[H+] in pH 6.5 Water = 10^-6.5 gmole H+/L Water

¼ö¼ÒÀÌ¿Â ³óµµÂ÷ = (10^-4.5 - 10^-6.5) g-mole/L ........................(A)

Case B... pH 4¿¡¼­ pH 6À¸·Î ¿Ã¸±¶§ ¼ö¼ÒÀÌ¿Â ³óµµÀÇ º¯È­(Â÷ÀÌ)
[H+] in pH 4.5 Water = 10^-4 gmole H+/L Water
[H+] in pH 6.5 Water = 10^-6 gmole H+/L Water

¼ö¼ÒÀÌ¿Â ³óµµÂ÷ = (10^-4 - 10^-6) g-mole/L = (0.000 1 - 0.000 001)  g-mole/L= 0.000 099 g-mole/L ............(B)

(2) À§¿¡¼­ BÀÇ °æ¿ì¿¡´Â Áö¼ö°¡ 4,6 µî°ú °°ÀÌ Á¤¼ö·Î µÇ¾î À־ °è»ê±â ¾ø¾îµµ ¼ö°è»êÀÌ ½±°Ô µÇÁö¸¸ AÀÇ °æ¿ì¿¡´Â °è»ê±â ¾øÀÌ´Â °è»êÇϱ⠾î·ÆÁö¿ä.  ¼ö¼ÒÀÌ¿Â ³óµµÂ÷ ¸¸Å­ OH-ÀÌ¿Â ³óµµ¸¦ °¡ÇØ¾ß ÇÒ °ÍÀÔ´Ï´Ù.

(3) Áö¼ö ¿¬»ê¹ýÄ¢
X^a*X^b = X^(a+b) µû¶ó¼­

10^-4.5 = 10^(-4)*(10^-0.5)= (0.000 1) * (0.316 227 766... )=0.000 031 622 776 6... 
10^-6.5 = 10^(-6)*(10^-0.5)= (0.000 001) * (0.316 227 766... )=0.000 000 316 227 766 ...
   

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