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10 mM aqueous HCl is added dropwise to 10 mL of 1 mM aqueous NaOH. The qualitative plot of conductivity (y) against the number of drops of HCl (x) is

  • A.A graph of y against x that rises linearly to a peak and then falls linearly
  • B.A graph of y against x that falls linearly to a minimum and then rises linearly
  • C.A graph of y against x that rises linearly and then stays constant
  • D.A graph of y against x that falls linearly and then stays constant

Answer: B

The conductivity first falls and then rises, the V-shaped plot in option (B).

At the start the solution holds Na+ and OH-, and OH- has a very high ionic mobility. Each drop of HCl neutralises some OH- (H+ + OH- → H2O) and puts in its place a Cl- ion, which conducts much less. So conductivity drops steadily until the equivalence point (1 mL of the 10 mM acid for 10 mL of 1 mM base).

After that, the extra drops add H+, the most mobile ion of all, together with Cl-, so the conductivity climbs steeply.

Plot (A) has the trend upside down. Plots (C) and (D) level off, which would need the acid to stop adding ions after the equivalence point; excess HCl keeps raising the conductivity.

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