Question

After creating the calibration plot, the linear equation collected for a certain dye is y=530x+0.05. Use the equation information (calculate the slope) and then Beer's Law to determine the dye concentration of the unknown sample if the absorbance value is 0.29.

A. 4.53×10—4 M
B. 5.47×10—4 M
C. 0.16 M
D. 0.18 M

Answer 1

To determine the concentration of the unknown dye sample using Beer's Law, we can use the linear equation obtained from the calibration plot. The concentration of the dye in the unknown sample is 0.000452 M (or 4.52 × 10-4 M).

Step-by-step explanation:

To determine the concentration of the unknown dye sample using Beer's Law, we can use the linear equation obtained from the calibration plot. The equation is y = 530x + 0.05, where y is the absorbance and x is the concentration in Molar (M). We know that the absorbance value of the unknown sample is 0.29.

Substituting this value into the equation, we can solve for x:

0.29 = 530x + 0.05

Subtracting 0.05 from both sides:

0.29 - 0.05 = 530x

0.24 = 530x

Dividing both sides by 530:

x = 0.000452

The concentration of the dye in the unknown sample is 0.000452 M (or 4.52 × 10-4 M).