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Multiple Choice
In UV-Vis spectrophotometry, absorbance is defined as , where is transmittance (unitless). Which expression correctly gives transmittance in terms of absorbance?
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Verified step by step guidance
1
Start with the given definition of absorbance in UV-Vis spectrophotometry: \(A = -\log_{10} T\), where \(A\) is absorbance and \(T\) is transmittance.
Recall that the logarithm function can be inverted by exponentiation. To express \(T\) in terms of \(A\), rewrite the equation as \(-\log_{10} T = A\).
Multiply both sides of the equation by -1 to isolate the logarithm: \(\log_{10} T = -A\).
Use the definition of logarithm to rewrite the equation in exponential form: \(T = 10^{-A}\).
This expression shows that transmittance is equal to 10 raised to the power of negative absorbance, which matches the correct answer.