Medium INTEGER +4 / -1 PYQ · JEE Mains 2020

3 g of acetic acid is added to 250 mL of 0.1 M HCL and the solution made up to 500 mL. To 20 mL of this solutions ${1 \over 2}$ mL of 5 M NaOH is added. The pH of the solution is __________.

[Given : pKa of acetic acid = 4.75, molar mass of acetic of acid = 60 g/mol, log 3 = 0.4771] Neglect any changes in volume.

Answer (integer) 5

Solution

milimole of acetic acid in 20 ml <br>= ${3 \over {60}} \times 1000 \times {{20} \over {500}}$ = 2 <br><br>milimole of HCl in 20 ml = 25 $\times$ ${{20} \over {500}}$ = 1 <br><br>milimole of NaOH 20 ml = ${1 \over 2} \times 5$ = 2.5 <br><br><style type="text/css"> .tg {border-collapse:collapse;border-spacing:0;border-color:#ccc;} .tg td{font-family:Arial, sans-serif;font-size:14px;padding:10px 5px;border-style:solid;border-width:0px;overflow:hidden;word-break:normal;border-color:#ccc;color:#333;background-color:#fff;} .tg th{font-family:Arial, sans-serif;font-size:14px;font-weight:normal;padding:10px 5px;border-style:solid;border-width:0px;overflow:hidden;word-break:normal;border-color:#ccc;color:#333;background-color:#f0f0f0;} .tg .tg-9wq8{border-color:inherit;text-align:center;vertical-align:middle} .tg .tg-baqh{text-align:center;vertical-align:top} </style> <table class="tg"> <tbody><tr> <th class="tg-9wq8">NaOH</th> <th class="tg-9wq8">+</th> <th class="tg-9wq8">CH<sub>3</sub>COOH</th> <th class="tg-9wq8">$\to$</th> <th class="tg-9wq8">CH3COONa</th> <th class="tg-baqh">+</th> <th class="tg-baqh">H<sub>2</sub>O</th> </tr> <tr> <td class="tg-9wq8"></td> <td class="tg-9wq8">1.5</td> <td class="tg-9wq8">2</td> <td class="tg-9wq8"></td> <td class="tg-9wq8">0</td> <td class="tg-baqh"></td> <td class="tg-baqh">0</td> </tr> <tr> <td class="tg-baqh"></td> <td class="tg-baqh">0</td> <td class="tg-baqh">0.5</td> <td class="tg-baqh"></td> <td class="tg-baqh">1.5</td> <td class="tg-baqh"></td> <td class="tg-baqh"></td> </tr> </tbody></table> <br><br>pH = pKa + log${{1.5} \over {0.5}}$ <br><br>= 4.74 + log 3 = 5.22

About this question

Subject: Chemistry · Chapter: Equilibrium · Topic: Chemical Equilibrium and Kc, Kp

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