an naoh solution of unknown concentration is titrated with hcl. 33.0 ml of 0.250 mol/l hcl will neutralize…

an naoh solution of unknown concentration is titrated with hcl. 33.0 ml of 0.250 mol/l hcl will neutralize 50.0 ml of the naoh. what is the concentration of the naoh solution? record your answer in decimal notation. watch significant digits and include the units in your answer. answer:
Answer
Explanation:
Step1: Write the balanced chemical equation
$$\text{NaOH}+\text{HCl}=\text{NaCl}+\text{H}_2\text{O}$$ From the equation, the mole ratio of $\text{NaOH}$ to $\text{HCl}$ is $1:1$.
Step2: Calculate the moles of $\text{HCl}$
Use the formula $n = c\times V$ (where $n$ is moles, $c$ is concentration, and $V$ is volume in liters). $V_{\text{HCl}}=33.0\space mL = 0.033\space L$, $c_{\text{HCl}} = 0.250\space mol/L$ $n_{\text{HCl}}=c_{\text{HCl}}\times V_{\text{HCl}}=0.250\space mol/L\times0.033\space L = 0.00825\space mol$
Step3: Determine the moles of $\text{NaOH}$
Since the mole ratio of $\text{NaOH}$ to $\text{HCl}$ is $1:1$, $n_{\text{NaOH}}=n_{\text{HCl}} = 0.00825\space mol$
Step4: Calculate the concentration of $\text{NaOH}$
$V_{\text{NaOH}}=50.0\space mL=0.050\space L$ Use the formula $c=\frac{n}{V}$ $c_{\text{NaOH}}=\frac{n_{\text{NaOH}}}{V_{\text{NaOH}}}=\frac{0.00825\space mol}{0.050\space L}=0.165\space mol/L$
Answer:
$0.165\space mol/L$