Solve Stoichiometry HW: Molar Mass & Molecular Formula

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To determine the molar mass of a monoprotic organic acid, the titration data shows that 15.0 mL of 0.1008 M sodium hydroxide neutralizes a 0.2053 g sample of the acid. The number of moles of NaOH used is equal to the moles of acid, allowing for the calculation of the acid's molar mass using the formula relating moles, mass, and molecular weight. An elemental analysis reveals the empirical formula as C4H4O, derived from the mass percentages of hydrogen, carbon, and oxygen. The discussion emphasizes the need to find the molecular weight to derive the molecular formula, and clarifies that the reaction between the acid and NaOH produces water and a salt. Understanding these relationships is crucial for solving the homework problem effectively.
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Homework Statement


Have to answer all of the following...
A. By titration, 15.0mL of 0.1008M Sodium hydroxide is needed to neutralize a 0.2053g sample of an organic acid. What is the molar mass of the acid if it is monoprotic?
B.An elemental analysis of the acid indicates that it is composed of 5.89% H, 70.6%C, and 23.5% O by mass. what is its molecular formula.


Homework Equations


(N)(M)(V)=(N)(M)(V) possibly
n-moles
m-molarity
v-volume.

Molecular Formula= Molecular weight/Emprical Formula Weight

The Attempt at a Solution



ok I orginally wanted to go like this for part A.

.2053g x 1mol/(the molar mass of the acid which I don't have) x (moles of the acid)/(moles of NaOH) x 0.1008mol NaOH/1L

but I realized very early on that it wouldn't work. So I tried...

.015L NaOH x 0.1008mol NaOH/1L NaOH x (mol to mol ratio...)

but I once again don't have that information.. since I can't write a chemical equation b/c I don't know the organic acid.

Need a direction...


For B.
I found the EF
5.89g H x 1mol H/1.008g H= 5.84mol H

70.6g C x 1mol C/12g C=5.8833mol C

23.5g O x 1mol O/16g O=1.468mol O

then divide by O
5.84mol H/1.468= 4 H

5.88mol C/1.468= 4 C

1.46mol H/1.468= 1 O

EF= C{4}H{4}O

But I don't have the molecular weight to calculate the answer of the the Molecular formula. Do I?


I realize that if I get the MF I should be able to make a Chemical equation... Can I do that with the EF though? I'm not sure that is "legal". Nor do I know what the products would be.

C{4}H{4}O + NaOH --> ? + HOH?
 
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DaOneEnOnly said:

Homework Statement


Have to answer all of the following...
A. By titration, 15.0mL of 0.1008M Sodium hydroxide is needed to neutralize a 0.2053g sample of an organic acid. What is the molar mass of the acid if it is monoprotic?
B.An elemental analysis of the acid indicates that it is composed of 5.89% H, 70.6%C, and 23.5% O by mass. what is its molecular formula.


Homework Equations


(N)(M)(V)=(N)(M)(V) possibly
No. Try '#moles=concentration (moles/L) X volume (L)'.
DaOneEnOnly said:
n-moles
m-molarity
v-volume.

Molecular Formula= Molecular weight/Emprical Formula Weight
This gives you a ratio of the molecular weight per empirical formula weight. Since these two things are just two ways to say the same thing, the result will always be '1'... my favorite number. Is there such a thing as an 'empirical' weight? Formula weight... yes. Molecular weight... yes. Empirical weight? Hmmm.

DaOneEnOnly said:

The Attempt at a Solution



ok I orginally wanted to go like this for part A.

.2053g x 1mol/(the molar mass of the acid which I don't have) x (moles of the acid)/(moles of NaOH) x 0.1008mol NaOH/1L

but I realized very early on that it wouldn't work. So I tried...

.015L NaOH x 0.1008mol NaOH/1L NaOH x (mol to mol ratio...)
You are on to something with this equation!

This part
0.015L NaOH x 0.01008 mol NaOH/L NaOH
gives you the number of moles of sodium hydroxide used to neutralize the acid. Since the acid is monoprotic, this is also equal to the number of moles of acid!

You have the number of moles of acid, the weight of the acid and you need to find its molecular weight. You are practically there! Do you know of a relationship between moles, mass and formula (molecular) weight? I'm sure you do...

Nor do I know what the products would be.

C_4H_4O + NaOH \xrightarrow~? + HOH?

Remember that an acid reacts with a base to form water and a salt. An organic acid donates a proton (to the OH- forming water) and receives a Na+. Can you replace one of the protons from C_4H_4O with Na^+?
 
Last edited:
Thx man... I understand what I need to do now...
 
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