A monoprotic acid is an acid that donates a single proton to the solution. Suppose you have 0.140 g of a monoprotic acid dissolved in 35.0 mL of water. This solution is then neutralized with 14.5 mL of 0.110 M NaOH. What is the molar mass of the acid?

Respuesta :

Answer:

molar mass HA = 87.8 g/mole

Explanation:

Given 0.140g HA + 14.5ml(0.110M NaOH) => NaA + H₂O

Rxn is a 1:1 rxn ration => moles HA neutralized = moles NaOH used

=> 0.140g/molar mass of HA = (0.110M)(0.0145L)

=> molar mass of HA = (0.140g)/[(0.110moles/L)(0.0145L)] = 87.8 g/mole

Answer: The molar mass of monoprotic acid is 87.72 g/mol

Explanation:

To calculate the concentration of acid, we use the equation given by neutralization reaction:

[tex]n_1M_1V_1=n_2M_2V_2[/tex]

where,

[tex]n_1,M_1\text{ and }V_1[/tex] are the n-factor, molarity and volume of monoprotic acid

[tex]n_2,M_2\text{ and }V_2[/tex] are the n-factor, molarity and volume of base which is NaOH.

We are given:

[tex]n_1=1\\M_1=?M\\V_1=35.0mL\\n_2=1\\M_2=0.110M\\V_2=14.5mL[/tex]

Putting values in above equation, we get:

[tex]1\times M_1\times 35.0=1\times 0.110\times 14.5\\\\x=\frac{1\times 0.110\times 14.5}{1\times 35.0}=0.0456M[/tex]

To calculate the molecular mass of acid, we use the equation used to calculate the molarity of solution:

[tex]\text{Molarity of the solution}=\frac{\text{Mass of solute}\times 1000}{\text{Molar mass of solute}\times \text{Volume of solution (in mL)}}[/tex]

We are given:

Molarity of solution = 0.0456 M

Given mass of acid = 0.140 g

Volume of solution = 35.0 mL

Putting values in above equation, we get:

[tex]0.0456M=\frac{0.140\times 1000}{\text{Molar mass of acid}\times 35}\\\\\text{Molar mass of acid}=\frac{0.140\times 1000}{0.0456\times 35}=87.72g/mol[/tex]

Hence, the molar mass of monoprotic acid is 87.72 g/mol

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