Chapter 10: Q12P (page 231)

How many grams of ${Na}_{2} {CO}_{3}$ (FM 105.99) should be mixed with $5.00 g$ of $NaHC O_{3}$ (FM 84.01) to produce $100 mL$ of buffer with $pH 10.00$ ?

Short Answer

Expert verified

The required amount to produce $100 mL of buffer with pH 10.00 is m = 2.96 g$

Step by step solution

Definition of Henderson Hasselbalch equation

The Henderson Hasselbalch equation is a rough formula that demonstrates the relationship between a solution's pH or pOH, the pKa or pKb, and the ratio of dissociated chemical species concentrations.

Determine the value of pH at 10.00

It can see from the challenge that we have the carbonic acid buffer, for which two Henderson-Hasselbalch equations may be written:

$pH = {pK}_{1} + \log \frac{[{HCO}_{3}^{-}]}{[H_{2} {CO}_{3}]} pH = {pK}_{2} + \log \frac{[{CO}_{3}^{2 -}]}{[H_{2} {CO}^{-}_{3}]} It can rewrite the equation as follows : \log \frac{[{Na}_{2} {CO}_{3}]}{[{NaHCO}_{3}]} = pH - {pK}_{2} \frac{[{Na}_{2} {CO}_{3}]}{[{NaHCO}_{3}]} = 10^{pH - {pK}_{2}} {Na}_{2} {CO}_{3} = 10^{pH - {pK}_{2}} . ({NaHCO}_{3}) m (N_{a} {CO}_{3}) = 10^{pH - {pK}_{2}} . \frac{m ({NaHCO}_{3})}{M ({NaHCO}_{3})} . M ({Na}_{2} {CO}_{3}) m (N_{a} {CO}_{3}) = 10^{10.00 - 10.329} . \frac{5 g}{84.01 g / {mol}^{2}} . 105.99 g / {mol}^{2.96 g} m = 2.96 g$

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How many grams of ${Na}_{2} {CO}_{3}$ (FM 105.99) should be mixed with $5.00 g$ of $NaHC O_{3}$ (FM 84.01) to produce $100 mL$ of buffer with $pH 10.00$ ?

Short Answer

Step by step solution

Definition of Henderson Hasselbalch equation

Determine the value of pH at 10.00

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How many grams of Na2CO3(FM 105.99) should be mixed with 5.00gof NaHCO3(FM 84.01) to produce 100mLof buffer with pH10.00?

Short Answer

Step by step solution

Definition of Henderson Hasselbalch equation

Determine the value of pH at 10.00

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Chemistry Textbooks

The Earths Atmosphere

Ionic and Molecular Compounds

Chemical Analysis

Making Measurements

Inorganic Chemistry

Chemistry Branches

Study anywhere. Anytime. Across all devices.

How many grams of ${Na}_{2} {CO}_{3}$ (FM 105.99) should be mixed with $5.00 g$ of $NaHC O_{3}$ (FM 84.01) to produce $100 mL$ of buffer with $pH 10.00$ ?