Which $pH$ value is higher in the following pairs?
$(a)$ $0.1 \ M \ HCl$ and $0.1 \ M \ NaOH$
$(b)$ $0.1 \ M \ HCl$ and $0.01 \ M \ HCl$
$(c)$ $0.1 \ M \ NaOH$ and $0.01 \ M \ NaOH$
$(a)$ $0.1 \ M \ HCl$ and $0.1 \ M \ NaOH$
$(b)$ $0.1 \ M \ HCl$ and $0.01 \ M \ HCl$
$(c)$ $0.1 \ M \ NaOH$ and $0.01 \ M \ NaOH$
(N/A) For $0.1 \ M \ HCl$,$pH = -\log(0.1) = 1$. For $0.1 \ M \ NaOH$,$pOH = -\log(0.1) = 1$,so $pH = 14 - 1 = 13$. Thus,$0.1 \ M \ NaOH$ has a higher $pH$.
$(b)$ For $0.1 \ M \ HCl$,$pH = 1$. For $0.01 \ M \ HCl$,$pH = -\log(0.01) = 2$. Thus,$0.01 \ M \ HCl$ has a higher $pH$.
$(c)$ For $0.1 \ M \ NaOH$,$pOH = 1$,so $pH = 13$. For $0.01 \ M \ NaOH$,$pOH = -\log(0.01) = 2$,so $pH = 14 - 2 = 12$. Thus,$0.1 \ M \ NaOH$ has a higher $pH$.
$(b)$ For $0.1 \ M \ HCl$,$pH = 1$. For $0.01 \ M \ HCl$,$pH = -\log(0.01) = 2$. Thus,$0.01 \ M \ HCl$ has a higher $pH$.
$(c)$ For $0.1 \ M \ NaOH$,$pOH = 1$,so $pH = 13$. For $0.01 \ M \ NaOH$,$pOH = -\log(0.01) = 2$,so $pH = 14 - 2 = 12$. Thus,$0.1 \ M \ NaOH$ has a higher $pH$.
Explore More
Similar Questions
At $25 \, ^\circ C$,the dissociation constant of pure water is equal to .......
Easy
View SolutionWhat is the $[OH^{-}]$ in the final solution prepared by mixing $20.0 \ mL$ of $0.050 \ M \ HCl$ with $30.0 \ mL$ of $0.10 \ M \ Ba(OH)_2$? $...... \ M$
MediumAIPMT 2009
View SolutionHow much heat is evolved when $100 \, mL$ of $0.1 \, N \, H_2SO_4$ is mixed with $150 \, mL$ of $0.1 \, N \, NaOH$?
Medium
View SolutionIf $0.1 \, M, 100 \, mL$ $NaOH$ solution is mixed with $0.05 \, M, 100 \, mL$ $H_2SO_4$ solution,the $pH$ of the resulting solution is:
Medium
View SolutionThe concentration of $[H^{+}]$ and concentration of $[OH^{-}]$ of a $0.1 \ M$ aqueous solution of $2\%$ ionised weak acid is [Ionic product of water $= 1 \times 10^{-14}$]
MediumAIPMT 1999
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo