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 57.0kJmol1 , 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=2.0×105  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 4.2Jg1K1  and density of all solutions as 1.0gmL1

 

 

The pH of the solution after Expt.2 is

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a

5.0 

b

4.7 

c

2.8 

d

7.0

answer is B.

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Detailed Solution

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 4.2J g−1K−1  and density of all solutions as 1.0g mL−1  The pH of the solution after Expt.2 is