Given that one mole of sodium hydroxide reacts with one mole of $NaCl + HCl$, calculate the concentration of the hydrochloric acid.
Answer (2)
To determine the concentration of hydrochloric acid (HCl), we need information such as the volume of HCl or the concentration and volume of sodium hydroxide (NaOH) used in the reaction. The balanced equation shows a 1:1 mole ratio, and without these values, we cannot perform the calculation. Therefore, additional information is necessary to find the concentration of HCl.
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The problem requires calculating the concentration of hydrochloric acid (HCl) given its reaction with sodium hydroxide (NaOH).
The balanced chemical equation is N a O H + H Cl → N a Cl + H 2 O , indicating a 1:1 mole ratio.
To find the concentration of HCl, we need the volume of HCl and either the moles of HCl or the volume and concentration of NaOH.
Without sufficient information, the concentration of HCl cannot be determined. Additional data is required to provide a numerical answer.
Explanation
Problem Analysis We are given that one mole of sodium hydroxide (NaOH) reacts with one mole of hydrochloric acid (HCl). The question asks us to calculate the concentration of the hydrochloric acid. However, the problem statement is incomplete because it does not provide enough information to determine the concentration of HCl. To calculate the concentration, we need to know either the volume of the HCl solution or the volume and concentration of the NaOH solution used in the reaction.
Balanced Chemical Equation The balanced chemical equation for the reaction between sodium hydroxide and hydrochloric acid is: N a O H + H Cl → N a Cl + H 2 O This equation tells us that one mole of NaOH reacts with one mole of HCl.
Additional Information Needed To calculate the concentration of HCl, we need more information. Let's assume we are given the volume of the HCl solution, V H Cl (in liters), and the volume and concentration of the NaOH solution, V N a O H (in liters) and C N a O H (in moles/liter), respectively. At the equivalence point, the number of moles of NaOH is equal to the number of moles of HCl: n N a O H = n H Cl .
Calculating the Concentration of HCl We can calculate the number of moles of NaOH using the formula: n N a O H = C N a O H × V N a O H Since n N a O H = n H Cl , we have: n H Cl = C N a O H × V N a O H Now we can calculate the concentration of HCl using the formula: C H Cl = V H Cl n H Cl = V H Cl C N a O H × V N a O H If the volume of HCl is not given, we cannot determine the concentration of HCl.
Final Answer Since the problem does not provide the necessary information (either the volume of HCl or the volume and concentration of NaOH), we cannot calculate the concentration of HCl. Therefore, we must state that the concentration of HCl cannot be determined without additional information.
Examples
In a titration experiment, you use a solution of known concentration (titrant) to determine the concentration of an unknown solution (analyte). For example, you might use a standardized NaOH solution to determine the concentration of an HCl solution. By carefully measuring the volumes of the two solutions that react completely, and knowing the concentration of the NaOH, you can calculate the concentration of the HCl. This technique is widely used in chemistry to quantify the amount of a substance in a sample.
