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Q.

When 100 mL of 1.0 M HCl was mixed with 100mL of 1.0 M NaOH in an insulated beaker at constant pressure, a temperature increase of 5.7°C 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 100mL of 1.0 M NaOH (under identical conditions to Expt.1)  where a temperature rise of 5.6°C was measured.(Consider heat capacity of all solutions as 4.2 J g-1K-1 and density of all solutions as 1.0 g mL-1 Enthalpy of dissociation (in kJ mol-1) of acetic acid obtained from the Expt. 2 is  The pH of the solution after Expt.2 is

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Detailed Solution

For Expt (1) Q = msx(+57) For neutralization of 100m kg of strong acid with strong baseFor 1 gr equivalent of strong acid (vs) strong base; Enthalpy of neutralization is – 57 kg\ Calometric constant = 1 kJ. k-1For expt (2)100 ml of 2m acetic acid (vs) 100ml of 1 M NaOH is the neutralization 100 meq acetic acid is neturalisation with (or) meq of NaOHQ=msX+5.6=1×5.6kJ/100mlFor 1000 meq → 56 kJ∴ Q =  Enthalpy of dissociation of acetic acid = 1 kJ  In expt (2)The final solution is a buffer containing Equimolar of acid and salt∴pH=pKa=4.7
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When 100 mL of 1.0 M HCl was mixed with 100mL of 1.0 M NaOH in an insulated beaker at constant pressure, a temperature increase of 5.7°C 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 100mL of 1.0 M NaOH (under identical conditions to Expt.1)  where a temperature rise of 5.6°C was measured.(Consider heat capacity of all solutions as 4.2 J g-1K-1 and density of all solutions as 1.0 g mL-1 Enthalpy of dissociation (in kJ mol-1) of acetic acid obtained from the Expt. 2 is  The pH of the solution after Expt.2 is