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  3. 물질 및 혼합물 Substance and Mixture

Mass of crystals extracted from saturated solution (by solubility)

작성자 Uploader : alice 작성일 Upload Date: 2018-09-14변경일 Update Date: 2018-09-17조회수 View : 261

With the mass of solution M (g) and the solubility of solute S1 (g) at the temperature T1, mass of the solute Ms1 (g) is calculated as below:

Solubility is defined as the mass of solute which dissolves in saturated state in solvent of mass 100g. Thus the following relationship establishes.

100 : S1 = M-Ms1 : Ms1

S1(M-Ms1) = 100Ms1

S1*M - S1*Ms1 = 100Ms1

Ms1 = S1*M/(100+S1)

Thus, mass of the solvent MW (g) is :

MW = M-Ms1

If the temperature decreases from T1 to T2, letting the solubility at T2 as S2 and mass of solvent as Ms2 (g), we get :

100 : S2 = MW : Ms2

Ms2 = MW*S2/100

Letting the mass of crystals extracted as dMs (g);

dMs = Ms1-Ms2 = Ms1 - MW*S2/100 = Ms1 - (M-Ms1)*S2/100 = Ms1*(1+S2/100) - M*S2/100
   = M*S1/(100+S1)*(1+S2/100) - M*S2/100
   = M*(S1/(100+S1)*(1+S2/100)-S2/100)

*** 참고문헌[References] ***
dMs = M*(S1/(100+S1)*(1+S2/100)-S2/100)
변수명 Variable 변수값 Value 변 수 설 명 Description of the variable


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