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Question

When 400 mL of 0.2 M H2SO4 solution is mixed with 600 mL of 0.1 M NaOHsolution, the increase in temperature of the final solution is x×102K
The value of x (Round off to the Nearest Integer) is
[Use :H+(aq)+OH(aq)H2O:ΔγH=57.1 kJ mol1
Specific heat of H2O=4.18J k1g1
Density of H2O=1.0 g cm3
[ Assume no change in volume of solution on mixing.]

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Solution

millimoles of H2SO4=400×0.2=80
meq of NaOH=600×0.1=60
H2SO4+2NaOHNa2SO4+2H2Ot=0 80 60 50 30
30 m moles of product is formed.
H++OHH2O ΔH=57.1 kJ/mol.
Moles of H+& OHneutralised =601000
ΔH=601000×(57.1)=3426J/mol
Total volume =1 L,Mass =1000 g
msΔT=ΔH
1000×4.18×ΔT=3426ΔT=0.8196=81.9×102 K=82×102 K
x=82

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