A solution that has a transmittance of 1.0 %T would have an absorbance of:

A solution that has a transmittance of 1.0 %T would have an absorbance of:

• A. A. 1.0
• B. B. 2.0
• C. C. 1%
• D. D. 99%

Answer: (B)

To determine the absorbance of a solution based on its transmittance, we use the relationship defined by the Beer-Lambert law. The equation that connects transmittance (T) and absorbance (A) is expressed as: \[ A = -\log(T) \] In this equation, T is the transmittance expressed as a fraction (not a percentage), where 100% transmittance corresponds to a value of 1. Therefore, a transmittance of 1.0 %T is equivalent to 0.01 when converted to a fraction (1% divided by 100). Now, substituting this value into the equation gives: \[ A = -\log(0.01) \] Using logarithm properties, we know that: \[ \log(0.01) = -2 \] Thus, we can calculate: \[ A = -(-2) = 2.0 \] This shows that a solution with a transmittance of 1.0 %T would have an absorbance of 2.0. This understanding reinforces the direct relationship between absorbance and the logarithm of the transmittance, clarifying why, as transmittance decreases, absorbance

To determine the absorbance of a solution based on its transmittance, we use the relationship defined by the Beer-Lambert law. The equation that connects transmittance (T) and absorbance (A) is expressed as:

[ A = -\log(T) ]

In this equation, T is the transmittance expressed as a fraction (not a percentage), where 100% transmittance corresponds to a value of 1. Therefore, a transmittance of 1.0 %T is equivalent to 0.01 when converted to a fraction (1% divided by 100).

Now, substituting this value into the equation gives:

[ A = -\log(0.01) ]

Using logarithm properties, we know that:

[ \log(0.01) = -2 ]

Thus, we can calculate:

[ A = -(-2) = 2.0 ]

This shows that a solution with a transmittance of 1.0 %T would have an absorbance of 2.0. This understanding reinforces the direct relationship between absorbance and the logarithm of the transmittance, clarifying why, as transmittance decreases, absorbance