NCERT Class XI Chemistry Equilibrium Solutions

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Question : 49
Total: 73
Calculate the pH of the following solutions :
(a) 2 g of TlOH dissolved in water to give 2 litre of solution.
(b) 0.3 g of Ca(OH)2 dissolved in water to give 500 mL of solution.
(c) 0.3 g of NaOH dissolved in water to give 200 mL of solution.
(d) 1 mL of 13.6 M HCl is diluted with water to give 1 litre of solution.
Solution:  
(a) Molar mass of TlOH = 221.4 gmol1
nTlOH =
2g
221.4gmol1
= 9.03 × 103mol
[OH] = [TlOH] =
9.03×103mol
2L
= 4.51 × 103M
pOH = – log(4.51 × 103) = 2.35 and pH = 14 – 2.35 = 11.65
(b) nCa(OH)2 =
0.3g
74gmol1
= 4.05 × 103mol
[OH] = 2[Ca(OH)2] = 2 ×
4.05×103mol
0.5L
= 1.62 × 102M
pOH = - log (1.62 × 102) = 1.79 and pH = 14 - 1.79 = 12.21
(c) nNaOH =
0.3g
40gmol1
= 7.5 × 103mol
[OH] = [NaOH] =
7.5×103mol
0.2L
= 0.0375 M
pOH = – log(0.0375) = 1.43 and pH = 14 – 1.43 = 12.57
(d) M1V1 = M2V2
13.6 molL1 × 1 mL = M × 1000 mL
MHCl = 0.0136 molL1
[H+] = [HCl] = 0.0136 M
∴ pH = – log(0.0136) = 1.87
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