The concentration of the analyte in the unknown sample can be determined by interpolating the concentration from the calibration curve using the signal value of 89.4. By plugging in the given values and evaluating the expression, we can find the concentration of the analyte. The correct answer from the options provided should be selected based on the calculation result.
To determine the concentration of the analyte in the unknown sample, we need to use the calibration curve obtained from Question 1. The calibration curve relates the signal produced by known concentrations of the analyte.
From Question 1, we know that the signal produced by a concentration of 0.648 mm is 9.60, and the signal produced by a concentration of 0.0121 mm is 0.180.
We can use the calibration curve to interpolate the concentration corresponding to the signal of 89.4 obtained from the unknown sample.
Using the formula for linear interpolation:
(concentration - 0.0121 mm) / (0.648 mm - 0.0121 mm) = (signal - 0.180) / (9.60 - 0.180)
Let's solve this equation to find the concentration.
(concentration - 0.0121 mm) / 0.6359 mm = (89.4 - 0.180) / 9.42
concentration - 0.0121 mm = (89.4 - 0.180) / 9.42 * 0.6359 mm
concentration = (89.4 - 0.180) / 9.42 * 0.6359 mm + 0.0121 mm
By calculating this expression, we can find the concentration of the analyte in the unknown sample.