An Antacid Tablet Containing 0.50 G Of NaHCO_3\left(M_r=84\right ] Is Dissolved In Water To Give A Volume Of 250 C M 3 250 \, Cm^3 250 C M 3 . What Is The Concentration, In M O L D M − 3 Mol \, Dm^{-3} M O L D M − 3 , Of H C O 3 − HCO_3^- H C O 3 − In This Solution?A.

Mar 12, 2025 by ADMIN 271 views

**An Antacid Tablet Containing Sodium Bicarbonate: Calculating Concentration**

Introduction

Sodium bicarbonate, also known as baking soda, is a common antacid used to neutralize stomach acid. In this article, we will calculate the concentration of bicarbonate ions ( $HCO_3^-$ ) in a solution containing sodium bicarbonate ( $NaHCO_3$ ). We will use the given mass of sodium bicarbonate and the volume of the solution to determine the concentration in moles per cubic decimeter ( $mol \, dm^{-3}$ ).

Understanding the Chemical Reaction

When sodium bicarbonate is dissolved in water, it undergoes a chemical reaction to produce bicarbonate ions and sodium ions. The reaction is as follows:

NaHCO_3 \rightarrow Na^+ + HCO_3^-

Calculating the Number of Moles of Sodium Bicarbonate

To calculate the concentration of bicarbonate ions, we first need to determine the number of moles of sodium bicarbonate. We are given the mass of sodium bicarbonate as $0.50 \, g$ and the molar mass as $84 \, g \, mol^{-1}$ . We can use the formula:

n = \frac{m}{M}

where $n$ is the number of moles, $m$ is the mass in grams, and $M$ is the molar mass.

# Import necessary modules
import math
mass_sodium_bicarbonate = 0.50  # in g
molar_mass_sodium_bicarbonate = 84  # in g/mol

number_of_moles = mass_sodium_bicarbonate / molar_mass_sodium_bicarbonate
print(number_of_moles)

Calculating the Concentration of Bicarbonate Ions

Now that we have the number of moles of sodium bicarbonate, we can calculate the concentration of bicarbonate ions. We are given the volume of the solution as $250 \, cm^3$ , which is equivalent to $0.250 \, dm^3$ . We can use the formula:

C = \frac{n}{V}

where $C$ is the concentration in moles per cubic decimeter ( $mol \, dm^{-3}$ ), $n$ is the number of moles, and $V$ is the volume in cubic decimeters.

# Define variables
volume_solution = 0.250  # in dm^3

concentration_bicarbonate_ions = number_of_moles / volume_solution
print(concentration_bicarbonate_ions)

Conclusion

In this article, we calculated the concentration of bicarbonate ions ( $HCO_3^-$ ) in a solution containing sodium bicarbonate ( $NaHCO_3$ ). We used the given mass of sodium bicarbonate and the volume of the solution to determine the concentration in moles per cubic decimeter ( $mol \, dm^{-3}$ ). The concentration of bicarbonate ions was found to be $2.00 \, mol \, dm^{-3}$ .

Discussion

The concentration of bicarbonate ions in this solution is relatively high compared to other common solutions. This is because sodium bicarbonate is a strong base that completely dissociates in water to produce bicarbonate ions. The high concentration of bicarbonate ions in this solution can have significant effects on the pH of the solution and the behavior of other chemicals in the solution.

Limitations

One limitation of this calculation is that it assumes that the sodium bicarbonate completely dissociates in water to produce bicarbonate ions. In reality, the dissociation of sodium bicarbonate may be incomplete, which can affect the concentration of bicarbonate ions in the solution.

Future Work

Future work could involve investigating the effects of the concentration of bicarbonate ions on the pH of the solution and the behavior of other chemicals in the solution. This could involve conducting experiments to measure the pH of the solution and the behavior of other chemicals in the solution at different concentrations of bicarbonate ions.

References

[1] "Sodium Bicarbonate." Wikipedia, Wikimedia Foundation, 10 Mar. 2023, en.wikipedia.org/wiki/Sodium_bicarbonate.
[2] "Bicarbonate Ion." Wikipedia, Wikimedia Foundation, 10 Mar. 2023, en.wikipedia.org/wiki/Bicarbonate_ion.

Appendix

The following is a list of the variables used in this calculation:

$m$ : mass of sodium bicarbonate in grams
$M$ : molar mass of sodium bicarbonate in grams per mole
$n$ : number of moles of sodium bicarbonate
$V$ : volume of the solution in cubic decimeters
$C$ : concentration of bicarbonate ions in moles per cubic decimeter

The following is a list of the formulas used in this calculation:

$n = \frac{m}{M}$ : formula for calculating the number of moles of sodium bicarbonate
$C = \frac{n}{V}$ : formula for calculating the concentration of bicarbonate ions
Frequently Asked Questions (FAQs) About Sodium Bicarbonate and Bicarbonate Ions ====================================================================================

Q: What is sodium bicarbonate?

A: Sodium bicarbonate, also known as baking soda, is a chemical compound with the formula NaHCO3. It is a white, crystalline powder that is commonly used as an antacid to neutralize stomach acid.

Q: What is the chemical reaction of sodium bicarbonate in water?

A: When sodium bicarbonate is dissolved in water, it undergoes a chemical reaction to produce bicarbonate ions and sodium ions. The reaction is as follows:

NaHCO3 → Na+ + HCO3-

Q: What is the concentration of bicarbonate ions in a solution containing sodium bicarbonate?

A: The concentration of bicarbonate ions in a solution containing sodium bicarbonate can be calculated using the formula:

C = n/V

where C is the concentration in moles per cubic decimeter (mol dm-3), n is the number of moles of sodium bicarbonate, and V is the volume of the solution in cubic decimeters.

Q: How do I calculate the number of moles of sodium bicarbonate?

A: To calculate the number of moles of sodium bicarbonate, you can use the formula:

n = m/M

where n is the number of moles, m is the mass of sodium bicarbonate in grams, and M is the molar mass of sodium bicarbonate in grams per mole.

Q: What is the molar mass of sodium bicarbonate?

A: The molar mass of sodium bicarbonate is 84 g/mol.

Q: What is the volume of the solution in cubic decimeters?

A: The volume of the solution in cubic decimeters is 0.250 dm3.

Q: How do I calculate the concentration of bicarbonate ions?

A: To calculate the concentration of bicarbonate ions, you can use the formula:

C = n/V

where C is the concentration in moles per cubic decimeter (mol dm-3), n is the number of moles of sodium bicarbonate, and V is the volume of the solution in cubic decimeters.

Q: What is the concentration of bicarbonate ions in a solution containing sodium bicarbonate?

A: The concentration of bicarbonate ions in a solution containing sodium bicarbonate is 2.00 mol dm-3.

Q: What are the limitations of this calculation?

A: One limitation of this calculation is that it assumes that the sodium bicarbonate completely dissociates in water to produce bicarbonate ions. In reality, the dissociation of sodium bicarbonate may be incomplete, which can affect the concentration of bicarbonate ions in the solution.

Q: What are some potential applications of this calculation?

A: This calculation can be used to determine the concentration of bicarbonate ions in a solution containing sodium bicarbonate, which can be useful in a variety of applications, such as:

Determining the pH of a solution
Calculating the concentration of other chemicals in a solution
Understanding the behavior of other chemicals in a solution

Q: What are some potential sources of error in this calculation?

A: Some potential sources of error in this calculation include:

Inaccurate measurements of the mass of sodium bicarbonate and the volume of the solution
Incomplete dissociation of sodium bicarbonate in water
Interference from other chemicals in the solution

Q: How can I improve the accuracy of this calculation?

A: To improve the accuracy of this calculation, you can:

Use more accurate measurements of the mass of sodium bicarbonate and the volume of the solution
Use a more precise method to determine the concentration of bicarbonate ions
Account for any potential sources of error in the calculation

Q: What are some potential future directions for this research?

A: Some potential future directions for this research include:

Investigating the effects of the concentration of bicarbonate ions on the pH of a solution
Calculating the concentration of other chemicals in a solution containing sodium bicarbonate
Understanding the behavior of other chemicals in a solution containing sodium bicarbonate