Q. citric acid + baking soda

Answer

Citation: citric acid and baking soda react to give sodium citrate, carbon dioxide, and water. In formulas, citric acid is \( \mathrm{C_6H_8O_7} \) and baking soda is \( \mathrm{NaHCO_3} \).

\[
\mathrm{C_6H_8O_7} + 3\,\mathrm{NaHCO_3} = \mathrm{Na_3C_6H_5O_7} + 3\,\mathrm{CO_2} + 3\,\mathrm{H_2O}
\]

Explanation: one mole of citric acid neutralizes three moles of sodium bicarbonate, producing one mole of sodium citrate, three moles of carbon dioxide, and three moles of water.

Detailed Explanation

Identify the reactants and their chemical formulas. Citric acid is a triprotic organic acid with formula \( \mathrm{C_6H_8O_7} \). Baking soda is sodium bicarbonate with formula \( \mathrm{NaHCO_3} \).

Write the chemical species that result when an acid proton is neutralized by bicarbonate. Each bicarbonate reacts with one acidic proton to produce carbon dioxide and water. In ionic form the single-proton neutralization is

\( \mathrm{H^+} + \mathrm{HCO_3^-} = \mathrm{CO_2} + \mathrm{H_2O} \).

Account for the fact that citric acid can donate three protons. Removing three protons from citric acid produces the citrate anion \( \mathrm{C_6H_5O_7^{3-}} \). Combining that anion with three sodium cations yields sodium citrate \( \mathrm{Na_3C_6H_5O_7} \). Therefore one mole of citric acid reacts with three moles of sodium bicarbonate.

Write the balanced molecular equation using equals signs instead of an arrow. Balance carbons, hydrogens, oxygens, and sodium to check stoichiometry. The balanced equation is

\[ \mathrm{C_6H_8O_7} + 3\,\mathrm{NaHCO_3} = \mathrm{Na_3C_6H_5O_7} + 3\,\mathrm{CO_2} + 3\,\mathrm{H_2O} \]

Verify the balance by counting atoms on both sides. For carbon: left side has \(6 + 3\times 1 = 9\). Right side has \(6\) in sodium citrate plus \(3\) in three carbon dioxide molecules, totaling \(9\). For hydrogen: left has \(8 + 3\times 1 = 11\). Right has \(5\) in sodium citrate plus \(3\times 2 = 6\) in water, totaling \(11\). For oxygen: left has \(7 + 3\times 3 = 16\). Right has \(7\) in sodium citrate plus \(3\times 2 = 6\) in carbon dioxide plus \(3\) in water, totaling \(16\). Sodium balances as \(3\) on each side. The equation is balanced.

Optional practical information. Molar masses (approximate) are \(M(\mathrm{C_6H_8O_7}) \approx 192.12\ \mathrm{g\ mol^{-1}}\) and \(M(\mathrm{NaHCO_3}) \approx 84.01\ \mathrm{g\ mol^{-1}}\). Therefore one mole (about \(192.12\) grams) of citric acid needs three moles (about \(3\times 84.01 = 252.03\) grams) of sodium bicarbonate for complete reaction. In typical household uses much smaller amounts are used, and the reaction produces effervescence from the evolving \( \mathrm{CO_2} \) gas and leaves a solution of sodium citrate.

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Chemistry FAQs

What is the balanced chemical equation for citric acid reacting with baking soda?

The balanced equation is \( \mathrm{C_6H_8O_7 + 3\,NaHCO_3 \rightarrow Na_3C_6H_5O_7 + 3\,CO_2 + 3\,H_2O} \). One mole of citric acid reacts with three moles of sodium bicarbonate.

What gas is produced and how many moles per mole of acid?

Carbon dioxide, \( \mathrm{CO_2} \), is produced. The stoichiometry gives three moles of \( \mathrm{CO_2} \) per one mole of citric acid.

How do I calculate the volume of CO2 at STP from given mass of citric acid?

Compute moles: \( n_{\text{acid}} = \dfrac{m}{M_{\text{acid}}} \). Then \( n_{CO_2}=3\,n_{\text{acid}} \). Volume at STP: \( V = n_{CO_2}\times 22.414\ \text{L/mol} \).

How much baking sodis required to neutralize given amount of citric acid?

Needed moles: \( n_{NaHCO_3}=3\,n_{\text{acid}} \). Mass: \( m_{NaHCO_3}=n_{NaHCO_3}\times M_{NaHCO_3} \). Use molar mass \( M_{NaHCO_3}\approx 84.01\ \text{g/mol} \).

What is the pH outcome of the reaction?

Final pH depends on the acid/base ratio. Complete neutralization yields mildly basic to neutral sodium citrate solution. Partial neutralization gives an acidic solution. Citric acid pKvalues: \( 3.13,\ 4.76,\ 6.40 \).

Is the reaction exothermic or endothermic?

The net heat change is small. Depending on concentrations and dilution, the process can feel slightly endothermic or mildly exothermic. Thermal effects are minor for typical household amounts.

Can citric acid and baking sodbe used as leavening agent in baking?

Yes. They produce \( \mathrm{CO_2} \) for leavening. Use correct stoichiometry and account for citric acid's sour flavor. Often paired with other ingredients to control taste and reaction timing.

Are there safety concerns when mixing citric acid and baking soda?

Generally safe. Produce \( \mathrm{CO_2} \), which can displace oxygen in confined spaces. Avoid inhaling aerosol, eye contact, and ingestion of large amounts. Perform reactions in well ventilated areas.
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