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Pure water is neutral and pH of a solution ranges from 0 to 14. Anacid has PH less than 59) The represents the concentration pH of_ solution is given by PH = ~log(...

Question

Pure water is neutral and pH of a solution ranges from 0 to 14. Anacid has PH less than 59) The represents the concentration pH of_ solution is given by PH = ~log() where has PH of 7. The liter: Find the pH if the hydrogen ion of the hydrogen ions in the solution in moles Per concentration is 3 103, D) 3.48 B) 2.48 C) 2.52 A) 3.52

Pure water is neutral and pH of a solution ranges from 0 to 14. Anacid has PH less than 59) The represents the concentration pH of_ solution is given by PH = ~log() where has PH of 7. The liter: Find the pH if the hydrogen ion of the hydrogen ions in the solution in moles Per concentration is 3 103, D) 3.48 B) 2.48 C) 2.52 A) 3.52



Answers

Calculate the hydrogen ion concentration, in moles per liter, for solutions with each of the following pH values.
a. $\mathrm{pH}=11.21 \qquad$ c. $\mathrm{pH}=7.44$
b. $\mathrm{pH}=4.39 \qquad$ d. $\mathrm{pH}=1.38$

Let's calculate the hydrogen ion concentration bridge for a hydrogen ion concentration is equal to tend the minus. I knowing that 0.1 which will be you. Quote too. 9.77 way. Want t. What? To six things? Uh, 1.77 times 10 to the negative. 10 bowler for be nine. Concentration is equal to tend to the negative. Uh, 1.2 to you 1.29 Uh oh. Check this Negative too. Uh, sorry. This is 6.89 to give me, um 1.29 times 10 to the negative seven Moeller, precede the 109. Concentration is tender than minus 1.2 to give me 0.955 Moeller. And for D Hunter nine, concentration is equal to 10 to the negative 7.0 which is equal to 1.0 times 10 to the negative seven. Moeller

Okay, so this will be a review of house determined the hydrogen ion or, uh, Proton concentration. This H plus here in a solution out of given pH So you can see the mathematical relationship that I have written here. Just a quick note on this. So I have a written as the concentration of each plus. Sometimes you'll see this equation Britain as CH Trio plus the Heidrun Yamile. For the purposes of these types of calculations, they need the same thing. Um, see, notice that I have this written in brackets here. Just a quick reminder. Whenever we use this brackets, we're talking about the concentration of these species in Moeller or moles for leader. So if we look at this equation is expressed in terms of the pH equals, So we want to essentially rearrange this equation so that we can get the concentration of the hydrogen ion by itself if we want to determine this value so we can first divide each side of this equation by minus one. This will get rid of that negative sign in front of the log value here. So if we have negative, Ph equals the log of the concentration of the hydrogen ions or the concentration of protons in solution. So we often just write this as the law of the value we're talking about longer them to the base. 10. Usually, if that's not explicitly written, that's implied. So we can dio a servant alter break transformation in order to get this concentration value by itself. So if we take the base of the law, which is a base 10 and we raise it to the power on the left side of the solution, which is the negative pH, we can set this equal Teoh the concentration of the hydrogen ions. So this is also sometimes referred to as taking the anti log. So we have. The concentration of the hydrogen ions is equal to the base of Logar of them, which is 10. Race to the negative pH power. Okay, so now that we've rearranged the expression weaken, basically, just plug in a value for the pH, put it in the calculator and then calculate the concentration of hydrogen ions in solution so we can do a couple of examples to show this. So let's start off with doing where the pH is equal to 8.34 So if we have a pH of 8.34 we can plug that in as the exponents and the solution are in the equation here. So if we want to know the heart is and ion concentration, we know that we can solve this by doing 10 to the minus 8.3. Poor for power. Just important, German. Where you doing these calculations? That you always remember this negative sign in the exponents here. So if you were to put this in the calculator, you'll haven't solved that. So come out, Teoh. 4.6 times 10 to the negative nine. So these I use air pretty much always going to be expressed in scientific notation. So that way, we're not reading this out to too many decimal points. So we want to make sure that when we're solving these types of equations that we're using the appropriate number of significant digits. So when you're taking the anti log of the number, do you wanna look at the Expo Nate here and see how many decimal places we have? So in this case, we have 8.34 so we have two numbers after the decimal point here. So these numbers after the decimal point in the retirement, the number of significant digits in her answer. So we have two numbers after the decimal point here, so we have to significant digits in the answer. So if we do another example, let's say that PH is 5.90 And because we're trying to use the correct number of Sig Figs, we wanna make sure that we are writing out zero at the end. So not leaving at a 5.9. So we have 5.90 and we can do this in exactly the same way. So we have the concentration hedges and I am. It's going to equal 10 to the negative 5.90 and then you can go ahead and put that calculator, and then you should get 1.3 again. We're doing the correct significant digits. We have two decimal places. Here's who we want to stake. Figs and her answer. We're expressing and scientific notation, so we have 10. It's in a negative sense and just as a little reminder again, we should always be using. She always be using units. So when We're talking about something in the brackets like that. This is an Moeller. We have the capital M. Well, let's let's do one more. If r P. H is equal to se 2.65 See, you can go ahead and plug that into the equation, so we're gonna have 10 to the minus 2.65 If we're considering the say fix, same thing two digits after the decimal point, we want to digits in her answer, and then this should come out to 2.2 times tense in eight of three. Make sure that you remember your units. So do capital M for Mueller. But it's what do one last example then say that our pH is 12.6, so you'll be putting this into the equation the exact same ways we have. 10. So the negative 12.6 we just want to make sure that we're returning the safe fix for the answer that we note that the number of decimal places here is not the same as the previous examples. So we now only have one digit after the decimal point, so we will be using one digit in our answer So this is going to come out. Actually, just three has 10 to the negative 13 and then this is Mueller. So we can also do a quick chick track of her answer to make sure that everything makes sense here. So we know that acidic solution should have higher concentrations of the hydrogen ion in them. So if we're starting at the lower end of the PH scale, we know it's more acidic. We see that we do have greater concentration. We can tell this by the, um the lower exponents on here. And then as we start to get up, the higher pH, this number is getting smaller and smaller, so there's less and less of the hydrogen ions in solution. So we have the greatest concentration for this peach of 2.65 And then as we start to move up the PH scale, you can see what the's exponents here, the numbers getting smaller and smaller because we have more and more decimal places out so left here. And then once we get a

So we're giving these values for P H and P O. H. And if we want to calculate the hydro Nia my on from the ah pH then it is 10 to the minus Ph. And on the calculator that's inverse or second function and then log key and then entered the negative of the pH. And so, first of all, ah, 10 C second function on the log key of negative 5.41 is, um, two point zero times to tend to the No, something is not right here. Must have not entered it correctly. Okay, it's like it. So that is 3.9 times 10 to the minus six. And that's Moeller. And that is the hydro name ion concentration that we were looking for. So that is A and B were given the P. O. H and the pH in the P o. H. Some to 14. So when I subtract this from 14 I get the p. H. And then I can again as an a second function of the log of negative 1.6 and that IHS 1.1 times 10 to the minus two Moeller and that is the Hydra Nehemiah concentration. And then we're giving the pH. And so I can just take the second function on the log of negative 11 0.91 gives me 1.2 times 10 to the minus 12 for the Hydro Nehemiah concentration. And then finally again, subtracting 3.89 from 14 gives me the pH. And so there's the pH in the second function on the log of negative tend Poet 11th seven point heat times 10 to the minus E bowler Moller for the H Plus concentration.

In this problem were asked to calculate the hydrogen ion concentration in units of molar ity based on the given pH values. We can use this equation here, which relates are Ph. Tore hydrogen ion concentration putting her pH in to the equation for part a refined that are 100 ion concentration. It's equal to 0.91 Mueller repeating the same procedure for Part B. We find that our hydrogen ion concentration is equal to seven point mind times 10 to the negative. 14 Mueller doing the same thing for part C. We see that our hydrogen ion concentration is equal to one times 10 to the negative sex. Miller and then finally plugging in are given ph and purty tour equation. We find that our hydrogen ion concentration is equal to 2.4 times 10 to the negative nine Moeller


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