If a sample is analyzed and the line intensity registers a relative color intensity of 15, what is the approximate molarity of morphine in the sample? (note: the molecular formula of morphine is c17h19no3)

The molarity of morphine is 2.45 * 10^-9 M

Explanation:

Step 1: Data given

Molecular formula of morphine = C17H19NO3

Atomic mass of C = 12.01 g/mol

Atomic mass of H = 1.01 g/mol

Atomic mass of O = 16.0 g/mol

Atomic mass of N = 14.0 g/mol

a relative color intensity of 15 corresponds to a morphine concentration of 0.7 ng/mL

Step 2: Calculate molar mass of morphine

Molar mass = 17 * 12.01 + 19*1.01 + 14.0 + 3*16.0

Molar mass morphine = 285.36 g/mol

Step 3: Calculate the molarity of morphine

Molarity = 0.7 ng/mL * (1g / 10^9 ng) / (285.36 g/mol) * (1000 mL)

Molarity = 2.45 * 10^-9 M

The molarity of morphine is 2.45 * 10^-9 M