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Hypophosphorous acid, \(\mathrm{H}_{3} \mathrm{PO}_{2}\), has the structure \((\mathrm{HO}) \mathrm{PH}_{2} \mathrm{O},\) in which two \(\mathrm{H}\) atoms are bonded to the \(\mathrm{P}\) atom, and one \(\mathrm{H}\) atom is bonded to an \(\mathrm{O}\) atom. For each bond to an \(\mathrm{H}\) atom, decide whether it is polar or nonpolar. Assume that only polar-bonded \(\mathrm{H}\) atoms are acidic.Write the balanced equation for the complete neutralization of hypophosphorous acid with sodium hydroxide. An 800.0 -mL sample of \(\mathrm{H}_{3} \mathrm{PO}_{2}\) requires \(22.00 \mathrm{~mL}\) of \(0.7850 \mathrm{M}\) \(\mathrm{NaOH}\) for complete neutralization. What is the molarity of the \(\mathrm{H}_{3} \mathrm{PO}_{2}\) solution?

Short Answer

Expert verified
The molarity of the \(\mathrm{H}_3\mathrm{PO}_2\) solution is 0.02159 M.

Step by step solution

01

Identify the Bond Polarities

First, analyze the structure \((\mathrm{HO}) \mathrm{PH}_{2} \mathrm{O}\). Since \(\mathrm{P}\) and \(\mathrm{H}\) have similar electronegativities, the \(\mathrm{P-H}\) bonds are considered nonpolar. The \(\mathrm{O-H}\) bond is polar due to the higher electronegativity of \(\mathrm{O}\) compared to \(\mathrm{H}\). Therefore, only the \(\mathrm{H}\) in the \(\mathrm{O-H}\) bond is acidic.
02

Write the Neutralization Equation

The neutralization reaction involves hypophosphorous acid and sodium hydroxide: \[\mathrm{H}_3\mathrm{PO}_2 (aq) + \mathrm{NaOH} (aq) \rightarrow \mathrm{NaH}_2\mathrm{PO}_2 (aq) + \mathrm{H}_2\mathrm{O} (l)\]. This equation shows that one mole of \(\mathrm{NaOH}\) reacts completely with one mole of \(\mathrm{H}_3\mathrm{PO}_2\).
03

Determine Moles of NaOH Used

Convert the volume of \(\mathrm{NaOH}\) solution used into liters: \(22.00\, \text{mL} = 0.02200\, \text{L}\). Calculate moles of \(\mathrm{NaOH}\) using its molarity:\[\text{Moles of } \mathrm{NaOH} = 0.7850\, \mathrm{M} \times 0.02200\, \text{L} = 0.01727\, \text{mol}\]
04

Calculate Moles of Hypophosphorous Acid

From the stoichiometry of the balanced equation, 1 mole of \(\mathrm{NaOH}\) reacts with 1 mole of \(\mathrm{H}_3\mathrm{PO}_2\). Therefore, moles of \(\mathrm{H}_3\mathrm{PO}_2\) is \(0.01727\, \text{mol}\).
05

Calculate Molarity of \(\mathrm{H}_3 \mathrm{PO}_2\) Solution

Convert the volume of \(\mathrm{H}_3 \mathrm{PO}_2\) to liters: \(800.0\, \text{mL} = 0.8000\, \text{L}\). Calculate the molarity of the solution using the moles of \(\mathrm{H}_3\mathrm{PO}_2\) calculated: \[\text{Molarity of } \mathrm{H}_3\mathrm{PO}_2 = \frac{0.01727\, \text{mol}}{0.8000\, \text{L}} = 0.02159\, \text{M}\]

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Bond Polarity
When examining the bond polarity in hypophosphorous acid \( (\mathrm{HO}) \mathrm{PH}_2 \mathrm{O} \),it's important to understand how electronegativity influences whether a bond is polar or nonpolar.Electronegativity is an atom's ability to attract electrons in a covalent bond.The higher the electronegativity, the stronger the pull on the electrons.

In this molecule:
  • The \(\mathrm{P-H}\) bonds are nonpolar because the electronegativity of phosphorus \((\mathrm{P})\) and hydrogen \((\mathrm{H})\) is similar.This means electrons in the \(\mathrm{P-H}\) bonds are more evenly distributed, leading to a balance in charge.
  • The \(\mathrm{O-H}\) bond is polar.Oxygen \((\mathrm{O})\) has a higher electronegativity than hydrogen.This causes a greater electron density around the \(\mathrm{O}\) atom, making the \(\mathrm{O-H}\) bond polar with a partial negative charge on the oxygen and a partial positive charge on the hydrogen.
Due to its polarity, the \(\mathrm{H}\) in the \(\mathrm{O-H}\) bond is acidic, meaning it can be released as an \(\mathrm{H}^+\) ion.
Neutralization Reaction
A neutralization reaction occurs when an acid and a base react to form water and a salt.This type of reaction is essential for balancing pH levels in various environments.

In the case of hypophosphorous acid \((\mathrm{H}_3\mathrm{PO}_2)\),it reacts with sodium hydroxide \((\mathrm{NaOH})\) as follows:\[\mathrm{H}_3\mathrm{PO}_2 (aq) + \mathrm{NaOH} (aq) \rightarrow \mathrm{NaH}_2\mathrm{PO}_2 (aq) + \mathrm{H}_2\mathrm{O} (l)\]This simple reaction shows one mole of \(\mathrm{NaOH}\) neutralizes one mole of \(\mathrm{H}_3\mathrm{PO}_2\).

The result is the formation of sodium hypophosphite \((\mathrm{NaH}_2\mathrm{PO}_2)\),a salt, and water.This reaction is a perfect example of neutralization, where the acidic and basic properties are canceled out.
Stoichiometry
Stoichiometry is the part of chemistry that involves measuring relationships among reactants and products during a chemical reaction.It's crucial for determining the amount of each substance needed or produced.

In our neutralization of hypophosphorous acid and sodium hydroxide:
  • The balanced chemical equation shows a 1:1 molar ratio of \(\mathrm{H}_3\mathrm{PO}_2\) to \(\mathrm{NaOH}\).This ratio is indispensable for calculating exact amounts for reactions.
  • With stoichiometry, we can calculate that 0.01727 moles of \(\mathrm{NaOH}\) will react with an equal amount—0.01727 moles—of \(\mathrm{H}_3\mathrm{PO}_2\).
By understanding stoichiometry, you can predict how much reactant is needed and how much product will result from a chemical reaction.
Molarity Calculation
Molarity is a way of expressing concentration, defined as the number of moles of a solute per liter of solution.It's a vital unit in chemistry for quantifying substances in solutions.

To find the molarity of our \(\mathrm{H}_3\mathrm{PO}_2\) solution:
  • We first converted the volume from milliliters to liters for accuracy.So, 800.0 mL of \(\mathrm{H}_3\mathrm{PO}_2\) became 0.8000 L.
  • Then, using the moles calculated from stoichiometry, which were 0.01727 mol, we determined the molarity as follows:\[\text{Molarity} = \frac{0.01727 \, \text{mol}}{0.8000 \, \text{L}} = 0.02159 \, \text{M}\]
This calculation guides chemists in preparing solutions and conducting experiments that require specific concentrations.

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