Consider an experiment in which two burets, Y and Z, are simultaneously draining into a beaker that initially contained 275.0 mL of 0.300 M HCl. Buret Y contains 0.150 M NaOH and buret Z contains 0.250 M KOH. The stoichiometric point in the titration is reached 60.65 minutes after Y and Z were started simultaneously. The total volume in the beaker at the stoichiometric point is 655 mL. Calculate the flow rates of burets Y and Z. Assume the flow rates remain constant during the experiment.

Short Answer

Expert verified
The flow rates for burets Y and Z can be calculated by first finding the moles of HCl, NaOH, and KOH at the stoichiometric point. We find that initially, there are 82.5 mmol of HCl. At the stoichiometric point, we can write 82.5 mmol = Moles of NaOH + Moles of KOH. The total volume of NaOH and KOH at the stoichiometric point is 380 mL. By setting up and solving a system of two linear equations, we determine the volumes of NaOH (V_NaOH) and KOH (V_KOH). Finally, we calculate the flow rates of burets Y and Z by dividing the volumes of NaOH and KOH by the time (60.65 minutes). The flow rates are given as follows: Flow rate of buret Y \(= \frac{V_{NaOH}}{60.65}\) minutes Flow rate of buret Z \(= \frac{V_{KOH}}{60.65}\) minutes

Step by step solution

01

Calculate the moles of HCl present at the beginning

To calculate the moles of HCl in the beaker initially, we can use the formula: Moles of HCl = Molarity × Volume Given, the initial volume of HCl is 275.0 mL and its molarity is 0.300 M. Moles of HCl = 0.300 M × 275.0 mL = 82.5 mmol
02

Find the moles of NaOH and KOH at the stoichiometric point

At the stoichiometric point, the moles of HCl are completely neutralized by the moles of NaOH and KOH. Since the reaction between HCl, NaOH, and KOH is 1:1, we can write: Moles of HCl = Moles of NaOH + Moles of KOH 82.5 mmol = Moles of NaOH + Moles of KOH
03

Calculate the total volume of NaOH and KOH at the stoichiometric point

Given, the total volume in the beaker at the stoichiometric point is 655 mL. The initial volume of HCl was 275.0 mL, so the combined volume of NaOH and KOH would be: Total volume of NaOH and KOH = 655 mL - 275 mL = 380 mL
04

Determine the volumes of NaOH and KOH required to reach the stoichiometric point

We can use the given concentrations and the moles of NaOH and KOH from Step 2 to find the volumes of NaOH and KOH at the stoichiometric point. Let the volume of NaOH be V_NaOH, and the volume of KOH be V_KOH. (0.150 M × V_NaOH) + (0.250 M × V_KOH) = 82.5 mmol We know the sum of these volumes should be 380 mL (from step 3): V_NaOH + V_KOH = 380 mL We now have a system of two linear equations with two variables: 0.150 × V_NaOH + 0.250 × V_KOH = 82.5 V_NaOH + V_KOH = 380 Use a suitable method to solve this system to find V_NaOH and V_KOH.
05

Calculate the flow rates of burets Y and Z

Now that we have the volumes of NaOH and KOH at the stoichiometric point, we can find the flow rates for each buret. Since the flow rates are assumed to be constant during the experiment, we can divide the volume by the time (in minutes) to obtain the flow rate. Flow rate of buret Y (containing NaOH): (V_NaOH) / 60.65 minutes Flow rate of buret Z (containing KOH): (V_KOH) / 60.65 minutes Calculate the flow rates for burets Y and Z to get the final answer.

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