@Dodsy There's an issue about the domain of $f$. If you have defined it so that $f : [0, 1] \to [0, 1]$, $f(x) = x^2$, that does have an inverse. Just take the positive square root.
But different people may have slightly different definitions of functions even. Some will require the codomain to be equal for two functions to be equal.
Sometimes, the term one-one correspondence is used for bijective, but usually in the case where there is some meaningful relation in this bijection, like the Fundamental theorem of Galois theory.
$2.05 g $ of sodium acetate was added to $100 ml$ of $0.1 M$ $HCl$ solution. Find the $H^+$ ion concentration of the resulting solution. If $6 ml$ of $1 M$ HCl is further added to it, what will be the new $H^+$ ion concentration.
Now, the questioner hasn't provided the dissociation constant of acetic acid but in many problems I solved before, it was $1.8* 10^{-5}$ so I used that.
Using law of equivalence, 15 milliequivalents of $CH_3COONa$ remain and 10 equivalents of $CH3COOH$ remain.
I have a question if some one is currently getting rude with me in one of the replies and having more than one account and making -ve votes to all my questions because I only said something he didn't like on meta. What can I do?
$2.05 g $ of sodium acetate was added to $100 ml$ of $0.1 M$ $HCl$ solution. Find the $H^+$ ion concentration of the resulting solution. If $6 ml$ of $1 M$ HCl is further added to it, what will be the new $H^+$ ion concentration.
How do I do the second part? Using equivalence concept again? And then do I have to add the previous concentration?
@TedShifrin The question was short, I was explaining my attempt because that's compulsory .
So, @Abcd, what do we get when we put 100 ml of .1 M solution together with 6 ml of 1 M solution? Is that different from 160 ml of .1 M solution or 16 ml of 1 M solution?
Flags for Mour_Ka -2 Minimization problem proof asked 8 hours ago by Mour_Ka I am getting negative feedback for the question because someone claiming the formula is incorrect. I added the reference for the formula to prove it is correct. Thanks because I need your intervention to remove the negative votes and stop wrong claims. – Mour_Ka 7 hours ago declined - Mods don't verify correctness of posts, and it is not possible to add or remove votes to posts.
so some one said my formula is wrong and -ve voted, I replied that the formula is correct and showed the paper with reference, I flagged the question to check and then the moderator said we dont check the correctness of the math.
Well, I was very attentive to my students, but some faculty aren't ... and they are not paid to respond to students around the clock. They are responsible to lecture class and hold 3 office hours a week.
Many of them are trying to maintain an active research program and are not willing to devote their entire time to undergraduates (even I wasn't willing to do that!).
@Abcd: Hahaha ... I'm ancient and yet it says "It is an archaic unit of measurement that was used in chemistry and the biological sciences in the era before researchers knew how to determine the chemical formula for a compound."
@Abcd: I'm referring to this thing I wrote up there. So, what do we get when we put 100 ml of .1 M solution together with 6 ml of 1 M solution? Is that different from 160 ml of .1 M solution or 16 ml of 1 M solution?
