혼합물의 분광광도법 분석
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연립 방정식으로 이성분 혼합물 분해하기
목표
두 파장에서의 흡광도 측정과 연립 방정식으로 혼합 용액 속 두 가지 색소의 개별 농도를 결정한다.
배경
When a solution contains two absorbing species with overlapping spectra, a single wavelength measurement cannot determine both concentrations. However, by measuring absorbance at two wavelengths (ideally the λmax of each component) and applying the additive property of absorbance (Beer-Lambert), a system of two simultaneous equations can be solved. This technique is the basis of multicomponent analysis in spectrophotometry.
안전 경고
- Indicator dyes stain clothing
- Handle cuvettes by frosted sides only to avoid fingerprints
- Clean spills immediately
필수 개인 보호 장비
재료
-
Methyl orange solution (0.01%) (100 mL)Component A
-
Bromothymol blue solution (0.01%) (100 mL)Component B
-
Unknown mixture of both dyes (50 mL)Prepared by instructor
-
Distilled water (200 mL)
장비
실험 절차
Scan pure methyl orange from 350–700 nm. Record λmax (approximately 464 nm in acidic pH).
Scan pure bromothymol blue from 350–700 nm. Record λmax (approximately 615 nm at neutral pH).
Prepare 3 standard concentrations of each pure dye. Measure absorbance of each at both λmax values (464 and 615 nm).
Calculate the molar absorptivity (ε) for each dye at each wavelength from the standard curves: ε(A,464), ε(A,615), ε(B,464), ε(B,615).
Measure the absorbance of the unknown mixture at both wavelengths.
Set up the simultaneous equations: A(464) = ε(A,464)·C(A) + ε(B,464)·C(B), A(615) = ε(A,615)·C(A) + ε(B,615)·C(B). Solve for C(A) and C(B).
Verify your results by comparing the calculated total absorbance at several wavelengths with the measured mixture spectrum.
예상 결과
The simultaneous equations yield positive concentrations for both dyes. The reconstructed spectrum (sum of individual contributions) should closely match the measured mixture spectrum, validating the Beer-Lambert additivity principle.
정리
Pour dilute dye solutions down the drain with running water. Rinse all cuvettes and volumetric flasks thoroughly.
세부 정보
- 카테고리
- Colorimetry
- 난이도
- Advanced (University)
- 소요 시간
- 75 분
- 예상 비용
- $12.00
- 단계
- 7
- 재료
- 4