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2023

Chemistry

POST UTME

The addition of 50cm3^3 of 0.2moldm3m^3 KOH solution will give a solution with resulting PH of? 

A.

12.43


B.

6.86

C.

1.57

D.

 7.14


Correct Answer:

1.57

Explanation

HNO3O_3 + KOH -> KNO3O_3 + H2H_2 O

Mole of NHO3_3 = 0.2moldm3^-3 x (50/100050/1000 )dm3^3

=0.01mol

mole of KOH=0.32moldm3^-3 x (25/1000) dm3^3

=0.008mol

since 1 m0le of KOH will require 1mole of HNO3_3 , mole of HNO3_3 required to react with 0.008 mol of KOH=0.08mol.

Thus, mole of unreacted HNO3_3

=(0.01-0.008)mol = 0.002mol.

Total volume = 50cm3^3 + 25cm3^3

=75cm3^3

=(75/1000)dm3^3

=0.075dm3^3

thus concentration of unreacted HNO3_3

=0.002mol/0.0075dm3^3

=0.0267moldm3m^{-3}

HNO3_3 -> H+^+ + NO^- 3_3

0.0267 0.0267

pH= -log10_10 (H+^+ )

=-log(0.0267)

=1.574

HNO3O_3 + KOH -> KNO3O_3 + H2H_2 O

Mole of NHO3_3 = 0.2moldm3^-3 x (50/100050/1000 )dm3^3

=0.01mol

mole of KOH=0.32moldm3^-3 x (25/1000) dm3^3

=0.008mol

since 1 m0le of KOH will require 1mole of HNO3_3 , mole of HNO3_3 required to react with 0.008 mol of KOH=0.08mol.

Thus, mole of unreacted HNO3_3

=(0.01-0.008)mol = 0.002mol.

Total volume = 50cm3^3 + 25cm3^3

=75cm3^3

=(75/1000)dm3^3

=0.075dm3^3

thus concentration of unreacted HNO3_3

=0.002mol/0.0075dm3^3

=0.0267moldm3m^{-3}

HNO3_3 -> H+^+ + NO^- 3_3

0.0267 0.0267

pH= -log10_10 (H+^+ )

=-log(0.0267)

=1.574

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