To determine the percent transmittance for a solution with an absorbance of 0.555, let's proceed step by step:
1. Understand the Relationship between Absorbance and Transmittance:
- Absorbance (A) and Transmittance (T) are inversely related. The formula to convert absorbance into transmittance is:
[tex]\[
T = 10^{-A}
\][/tex]
Where [tex]\( A \)[/tex] is the absorbance.
2. Calculate the Transmittance:
- We are given the absorbance value, [tex]\( A = 0.555 \)[/tex].
- Apply the formula to find the transmittance:
[tex]\[
T = 10^{-0.555}
\][/tex]
- Doing the calculation, we get:
[tex]\[
T = 0.278612116862977
\][/tex]
3. Convert Transmittance to Percent Transmittance:
- Transmittance values are typically expressed as a percentage. To convert the transmittance to percent transmittance (%T), multiply the transmittance by 100:
[tex]\[
\text{Percent Transmittance} = T \times 100
\][/tex]
- Therefore:
[tex]\[
\text{Percent Transmittance} = 0.278612116862977 \times 100
\][/tex]
[tex]\[
\text{Percent Transmittance} = 27.8612116862977
\][/tex]
So, the percent transmittance for a solution with an absorbance of 0.555 is approximately [tex]\( 27.8612116862977\% \)[/tex].
