Question

If the \% transmittance (\%T) is recorded as 7.6 then the absorbance value would have how many digits to the right of the decimal? (Hint: A=2.00−log₁₀ (%T) )

a) 1
b) 2
c) 3
d) 4

Answer 1

To find the number of digits to the right of the decimal in the absorbance value for a % transmittance of 7.6, we use the formula A = 2.00 - log₁₀(%T). Calculating log₁₀(7.6) gives us 0.8808, and subtracting this from 2.00, we get an absorbance of 1.1192, which has four digits to the right of the decimal.

Step-by-step explanation:

To determine how many digits should be to the right of the decimal in the absorbance value when the % transmittance (%T) is recorded as 7.6, we can use the formula A = 2.00 - log₁₀(%T). Following this formula, for a %T of 7.6, we first calculate the logarithm:

log₁₀(7.6) = 0.8808

Then, we substitute the logarithm into the absorbance equation:

A = 2.00 - 0.8808 = 1.1192

Therefore, the absorbance value would have four digits to the right of the decimal, making answer choice (d) the correct answer.