Q20 / 60 · JEE Advanced 2015 (Paper 2) · Chemistry

When 100 mL of 1.0 M HCl was mixed with 100 mL of 1.0 M NaOH in an insulated beaker at constant pressure, a temperature increase of 5.7oC was measured for the beaker and its contents (Expt.1). Because the enthalpy of neutralization of a strong acid with a strong base is a constant (-57.0 kJ mol-1) , this experiment could be used to measure the calorimeter constant. In a second experiment (Expt. 2), 100 mL of 2.0 M acetic acid (Ka=2.0×10-5) was mixed with 100 mL of 1.0 M NaOH (under identical conditions to Expt. 1) where a temperature rise of 5.6oC was measured. (Consider heat capacity of all solutions as 4.2 J g-1 K-1 and density of all solutions as 1.0 g mL-1 )
The pH of the solution after Expt. 2 is

  • A
    2.8
  • Correct answer
    B
    4.7
  • C
    5.0
  • D
    7.0

Solution

Final solution contain 0.1 mole of CH3COOH and CH3COONa each.
Hence it is a buffer solution.
pH=pKa+log[CH3COO-][CH3COOH]
=5-log2+log0.10.1=4.7

Hence, the correct answer is option: 'B'.

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