when 0.4 g of NaOH is dissolved in one litre of solution,the pH of solution is
Attachments:
![](https://hi-static.z-dn.net/files/df8/d7ef79d807ce88b7134eea64d43d2cad.jpg)
Answers
Answered by
28
Q. When 0.4 g of NaOH is dissolved in one litre of solution,the pH of solution ?
Ans :-
No. of moles of 0.4 g of NaOH
= 0.4/(23+16+1)
= 0.4/40
= 1/100
= 0.01 mole
Now molarity ( molar conentration )
of 0.01 mole of NaOH in 1 lit.
= mole / volume
= 0.01/1
= 0.01
= 10^(-2)
Now ,
![\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: NaOH = ( OH^{ - })+ (Na^{ + }) \\ at \: t = 0 \: \: \: \: \: \: \: \: \: \: \: 10^{ - 2} \: \: \: \: \: \: \: \: \: \: \: \: 0 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 0\\at \: t = t \: \: \: \: \: \: \: \: \: \: \: 0 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {10}^{ - 2} \: \: \: \: \: \: \: \: \: \: \: \: {10}^{ - 2} \\ \\ pOH \: = - log(OH^{ - } ) \\ = - log( {10}^{ - 2} ) \\ = 2 \\ \\ pOH + pH = 14 \\ pH = 14 - 2 = 12 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: NaOH = ( OH^{ - })+ (Na^{ + }) \\ at \: t = 0 \: \: \: \: \: \: \: \: \: \: \: 10^{ - 2} \: \: \: \: \: \: \: \: \: \: \: \: 0 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 0\\at \: t = t \: \: \: \: \: \: \: \: \: \: \: 0 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {10}^{ - 2} \: \: \: \: \: \: \: \: \: \: \: \: {10}^{ - 2} \\ \\ pOH \: = - log(OH^{ - } ) \\ = - log( {10}^{ - 2} ) \\ = 2 \\ \\ pOH + pH = 14 \\ pH = 14 - 2 = 12](https://tex.z-dn.net/?f=+%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A+NaOH+%3D+%28+OH%5E%7B+-+%7D%29%2B+%28Na%5E%7B+%2B+%7D%29+%5C%5C+at+%5C%3A+t+%3D+0+%5C%3A++%5C%3A++%5C%3A++%5C%3A+++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A+10%5E%7B+-+2%7D+%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A+0+%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A+0%5C%5Cat+%5C%3A+t+%3D+t+%5C%3A++%5C%3A++%5C%3A++%5C%3A+++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A+0+%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A+%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%7B10%7D%5E%7B+-+2%7D+++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%7B10%7D%5E%7B+-+2%7D++++%5C%5C+%5C%5C+pOH+%5C%3A++%3D++-++log%28OH%5E%7B++-++%7D+%29++%5C%5C++%3D++-++log%28+%7B10%7D%5E%7B+-+2%7D+%29++%5C%5C++%3D+2+%5C%5C++%5C%5C+pOH+%2B+pH+%3D+14+%5C%5C+pH+%3D+14+-+2+%3D+12)
Ans :-
No. of moles of 0.4 g of NaOH
= 0.4/(23+16+1)
= 0.4/40
= 1/100
= 0.01 mole
Now molarity ( molar conentration )
of 0.01 mole of NaOH in 1 lit.
= mole / volume
= 0.01/1
= 0.01
= 10^(-2)
Now ,
Similar questions