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Cortisol (m = 362.47 g/mol), one of the major steroid hormones, is a key factor in the synthesis of protein. Its profound effect on the reduction of inflammation explains its use in the treatment of rheumatoid arthritis. Cortisol is 69.6% C, 8.34% H, and 22.1% O by mass. What is its molecular formula?

Short Answer

Expert verified

The obtained molecular formula is C21H3005 and the empirical formula isC21H3005

Step by step solution

01

Relation between mass and number of moles

The number of moles is calculated by the mass and Molar mass. The relationship between the number of moles, mass, and molar mass is given below.

Numberofmoles=massmolarmass

02

Determine the empirical formula of the compound

The ratio of the number of moles of the C, H and O is:

n(C):n(H):n(O)=0.69612.01:0.08431:0.22116n(C):n(H):n(O)=0.058:0.0843:0.0138

Dividing the above value by the smallest n(0.0138)

n(C):n(H):n(O)=4.2:6:1

As we have whole numbers so it requires multiplication by 5. Then the empirical formula:C2H30O5

03

Determine the concept of the whole-number multiple

The whole number multiple given as the ratio of molar mass to the empirical formula mass of each element deduces molecular formula.

The whole number multiple is given as,

Whole-numbermultiple=molarmass(g/mol)empirticalformulamass(g/mol)

04

Determine the molecular formula of the compound

The empirical formula isC21H30O5

The empirical formula mass is calculated as:

Mwofempiricalformula=21(MwofC)+30(MwofH)+5(MwofO)=21(12.01g/mol)+30(1.01g/mol)+5(16.00g/mol)=362.21g/mol

The molecular formula mass = 362.47 g/mol

The whole-number ratio is:

Whole-numbermultiple=362.47(g/mol)362.21(g/mol)1

Multiplying subscripts of role="math" localid="1657091949601" C21H30O5by 1, the molecular formula is given by

Thus, the molecular formula isC21H30O5

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Most popular questions from this chapter

Ethanol (CH3CH2OH), the intoxicant in alcoholic beverages, is also used to make other organic compounds. In concentrated sulfuric acid, ethanol forms diethyl ether and water:

2CH3CH2OH(I)CH3CH2OCH3CH2(I)+H2O(g)

In a side reaction, some ethanol forms ethylene and water:

CH3CH2OH(I)CH2=CH2(g)+H2O(g)

(a) If 50.0 g of ethanol yields 35.9 g of diethyl ether, what is the percent yield of diethyl ether? (b) During the process, 45.0% of the ethanol that did not produce diethyl ether reacts by the side reaction. What mass of ethylene is produced?

A sample of 0.600 mol of a metal M reacts completely withexcess fluorine to form 46.8 g ofMF2.
(a) How many moles of F are in the sample of that forms?
(b) How many grams of M are in this sample ofMF2
(c) What element is represented by the symbol M?

Calculate each of the following quantities:

(a) Volume of 18.0 M sulfuric acid that must be added to water to prepare 2.00 L of a 0.429 M solution

(b) Molarity of the solution obtained by diluting 80.6 mL of 0.225 M ammonium chloride to 0.250 L

(c) Volume of water added to 0.130 L of 0.0372 M sodium hydroxide to obtain a 0.0100 M solution (assume the volumes are additive at these low concentrations)

(d) Mass of calcium nitrate in each milliliter of a solution prepared by diluting 64.0 mL of 0.745 M calcium nitrate to a 铿乶al volume of 0.100 L

Write balanced equations for each of the following by inserting the correct coefficients in the blanks:

  1. _SO2(g)+_O2(g)_SO3(g)
  2. _Sc2O3(s)+_H2O(l)_Sc(OH)3(s)
  3. _H3PO4(aq)+_NaOH(aq)_Na2HPO4(aq)+_H2O(l)
  4. _C6H10O2(s)+_O2(g)_CO2(g)+_H2O(g)

Convert the following into balanced equations:When solutions of calcium chloride and sodium phosphate are mixed, solid calcium phosphate forms and sodium chloride remains in the solution.

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