Join thousands of students who trust us to help them ace their exams!Watch the first video
Multiple Choice
Cortisol (MW = 362.47 g/mol), a known steroid hormone, is found to contain 69.6% carbon, 8.34% hydrogen, and 22.1% oxygen by mass. What is its molecular formula?
A
C21H30O5
B
C21H26O5
C
C28H46O
D
C18H24O2
Verified step by step guidance
1
Step 1: Determine the mass of each element in 100 g of cortisol. Since the percentages are given, assume you have 100 g of the compound. This means you have 69.6 g of carbon, 8.34 g of hydrogen, and 22.1 g of oxygen.
Step 2: Convert the mass of each element to moles using their respective molar masses. Use the molar mass of carbon (12.01 g/mol), hydrogen (1.008 g/mol), and oxygen (16.00 g/mol) to find the moles of each element.
Step 3: Calculate the mole ratio of the elements by dividing the number of moles of each element by the smallest number of moles calculated in the previous step. This will give you the empirical formula.
Step 4: Determine the empirical formula mass by adding the atomic masses of the elements in the empirical formula.
Step 5: Divide the molecular weight of cortisol (362.47 g/mol) by the empirical formula mass to find the ratio. Multiply the subscripts in the empirical formula by this ratio to find the molecular formula.