Q.

200 mL of 1.0 M NaOH at 25 °C is mixed with 150 mL of 1.0 M HCI, also at 25 °C. If the enthalpy of neutralization of HCI with Na OH is 48.8 kJ mol-1. The temperature of the solution after mixing the two solutions will be (specific heat capacity and density of both the solution are 4.18 J K-1 g-1 and 1 g mL-1 , respectively.)

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a

38.2 °C

b

26.1 °C

c

35.5 °C

d

30.0 °C

answer is B.

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Detailed Solution

Amount of Na OH, n1 = V M= (0.200 L) (1.0 mol L-1 ) = 0.200 mol 

Amount of HCI, n2 = VM = (0.150 L) (1.0 mol L-1 ) = 0.150 mol 

Only 0.150 mol of H+ will react with OH-, heat liberated in this process is 

q=nΔneut H=(0.150mol)48.8kJmol1=7.32kJ=7320J

 Increase in temperature of the solution will be ΔT=qmc=7320J(350g)4.18Jg1C1=5.0C

Hence, temperature of solution is 25.0 °C + 5.0 °C = 30.0 °C

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