how to convert ka to pka without calculator

Solutions with low pH are the most acidic, and solutions with high pH are most basic. He is also a historian who holds a PhD from The University of Notre Dame and has taught at universities in and around Pittsburgh, PA. His scholarly publications and presentations focus on his research interests in early American history, but Chris also enjoys the challenges and rewards of writing wikiHow articles on a wide range of subjects. calculator, How to find the lateral area of a triangular prism formula, How to make frequency table in statcrunch, How to prove a piecewise function is differentiable, Initial value differential equation solver, Properties of negative and zero exponents homework 3. Determine math To determine math equations, one could use a variety of methods, such as trial and error, looking for patterns, or using algebra. New version of unit converters is available. As a result of the EUs General Data Protection Regulation (GDPR). Besides being easier to work with, pKa values have an inverse relationship to acid strength. { Acid_and_Base_Strength : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", Calculating_A_Ka_Value_From_A_Measured_Ph : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", Calculating_Equilibrium_Concentrations : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", Fundamentals_of_Ionization_Constants : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", Weak_Acids_and_Bases : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", Weak_Acids_and_Bases_1 : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()" }, { Acid : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", Acids_and_Bases_in_Aqueous_Solutions : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", Acid_and_Base_Indicators : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", Acid_Base_Reactions : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", Acid_Base_Titrations : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", Buffers : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", Buffers_II : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", Ionization_Constants : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", Monoprotic_Versus_Polyprotic_Acids_And_Bases : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()" }, [ "article:topic", "pH", "Ionization Constants", "showtoc:no", "license:ccbyncsa", "licenseversion:40" ], https://chem.libretexts.org/@app/auth/3/login?returnto=https%3A%2F%2Fchem.libretexts.org%2FBookshelves%2FPhysical_and_Theoretical_Chemistry_Textbook_Maps%2FSupplemental_Modules_(Physical_and_Theoretical_Chemistry)%2FAcids_and_Bases%2FIonization_Constants%2FCalculating_A_Ka_Value_From_A_Measured_Ph, \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}}}\) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\), status page at https://status.libretexts.org. To create a more manageable number, chemists define the pKa value as the negative logarithm of the Ka value: pKa = -log Ka. The pKa to pH converter calculator is an online tool that can find the pH of a liquid solution using the pKa value and concentration. pKa = - log Ka - pKa = log Ka 10 - (pKa) = Ka Ka = 10 - (pKa) Consider the reactions below. Couldn't done my homeworks without it! To create a more manageable number, chemists define the pKa value as the negative logarithm of the Ka value: pKa = -log Ka. Antonio Jones . How to convert between Ka and pKa (or Kb and pKb) More videos on YouTube More Subjects:. . If you don't take the negative log and instead take the positive log, then you'll be working with negative numbers constantly. Extended Keyboard. MedPR said: Yeah. If Ka is 7.1E-7, pKa is just 7 - log7.1. MCAT Math Without A Calculator Video Series. Best calculator, but other than that. So to ease that, pKa came into existence. To convert Ka into pKa, get out your calculator and find -log, then open bracket, Ka value, close bracket. Or understand the concepts. \[ \ce{CH_3CH_2CO_2H + H_2O \leftrightharpoons H_3O^+ + CH_3CH_2CO_2^- } \nonumber\], According to the definition of pH (Equation \ref{eq1}), \[\begin{align*} -pH = \log[H_3O^+] &= -4.88 \\[4pt] [H_3O^+] &= 10^{-4.88} \\[4pt] &= 1.32 \times 10^{-5} \\[4pt] &= x \end{align*}\], According to the definition of \(K_a\) (Equation \ref{eq3}, \[\begin{align*} K_a &= \dfrac{[H_3O^+][CH_3CH_2CO_2^-]}{[CH_3CH_2CO_2H]} \\[4pt] &= \dfrac{x^2}{0.2 - x} \\[4pt] &= \dfrac{(1.32 \times 10^{-5})^2}{0.2 - 1.32 \times 10^{-5}} \\[4pt] &= 8.69 \times 10^{-10} \end{align*}\]. Acid base chemistry has a LOT of math. Find things in a picture game with answers, How to find the length of the median of a right triangle, How to solve an integral when both limits are trigonometric, How to write greater than or equal to in python, Linear speed calculator inches per minute, Ncert solutions class 6 maths exercise 5.6, Top behavioral interview questions and answers. pKa calculator. The mathematical operation you perform is Ka = antilog (-pKa). We use cookies to make wikiHow great. If Ka is 7.1E-7, pKa is just 7 - log7.1. Example 1. pKa of an acid is 4.75 and 0.1 concentrated in a solution. But there is help available in the form of Pka to ka online calculator. You can get math help online by visiting websites like Khan Academy or Mathway. Let's solve an example to understand this calculator. "; Please enable JavaScript in order to use this website. This widget finds the pH of an acid from its pKa value and concentration. Work on the task that is enjoyable to you. If you're looking for a quick delivery, look no further than our company. Almost never get ads, always helps. Pka to ka online calculator - Math can be a challenging subject for many students. Say, for example, Ka equals. Deriving Ka from pH Christopher Osborne has been a wikiHow Content Creator since 2015. Based on this Ka and the equation given above. Key points For conjugate-acid base pairs, the acid dissociation constant K_\text {a} K a and base ionization constant K_\text {b} K b are related by the following equations: K_\text {a}\cdot K_\text {b}=K_\text {w} K a K b = K w -log(Ka). This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. I love thissssss. Theoretically, this reaction can happen in both directions. For example log_(10)100 = 2, and log_(10)1000 = 3. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. Thus Ka = 10-pKa. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. Hartree, eV, cm-1, nm, kcal/mol, kJ/mol. If you already know the pKa value for acid and you need the Ka value, you find it by taking the antilog. One way is to use the Pythagorean theorem to find the length of the hypotenuse. Solution: We are given the pK_a for butyric acid and asked to calculate the K_b and the pK_b for its conjugate base, the butyrate ion. Paige Norberg (UCD) and Gabriela Mastro (UCD). In the Bronsted-Lowry formulation of acids in solution, the acid donates a proton and the solution accepts one. pKa is defined as the negative logarithm (-log) of Ka, which means you calculate Have more time for your recreation Having more free time to spend on your hobbies can lead to a more well-rounded and happier life. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. This article was co-authored by wikiHow staff writer. How do you calculate the pKa to Ka and vice versa in your head? This article was co-authored by wikiHow staff writer, Christopher M. Osborne, PhD. To solve, first determine pKa, which is simply log 10 (1.77 10 5) = 4.75. {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/5\/5c\/Find-Ka-from-Pka-Step-7.jpg\/v4-460px-Find-Ka-from-Pka-Step-7.jpg","bigUrl":"\/images\/thumb\/5\/5c\/Find-Ka-from-Pka-Step-7.jpg\/v4-728px-Find-Ka-from-Pka-Step-7.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"

\u00a9 2023 wikiHow, Inc. All rights reserved. This particular equation works on solutions made of an acid & its conjugate base. When the solvent is water, it's left out of the equation. Can I find Ka (or pKa) without a calculator? Use the relationships pK = log K and K = 10pK (Equation 16.5.11 and Equation 16.5.13) to convert between K_a and pK_a or K_b and pK_b. When we write logab=c , we specify, Greatest weakness examples for job interview, Pearson education 5th grade math worksheet answers, Solving equations by elimination method with 3 variables, The modern period class 8 questions and answers. Its honestly great for study guides or If your me online school it explains the problems in anyway you want so it's easy to learn how to do it and if your not feeling like doing a quiz it will give the answer to you for free and theres barely any ads. And well show you how to do it all! The quantity pH, or "power of hydrogen," is a numerical representation of the acidity or basicity of a solution. How do you convert pKa to Ka? We can convert pKa to Ka as. Try it. To create a more manageable number, chemists created the pKa value: A strong acid with a dissociation constant of 107 has a pKa of -7, while a weak acid with a dissociation constant of 10-12 has a pKa of 12. The numerical value of \(K_a\) is used to predict the extent of acid dissociation. Step 3: Solve for Ka K a or pKa p K a. Use the concentration of \(\ce{H3O^{+}}\) to solve for the concentrations of the other products and reactants. Energy, Temperature, Pressure, Length, Ka Kb pKa pKb. 10/10 recommend as this app has definitely helped in me studying for my exams, always helps me . Find pH. Doing math equations is a great way to keep your mind sharp and improve your problem-solving skills. Although pH is formally defined in terms of activities, it is often estimated using free proton or hydronium concentration: \[ pH \approx -\log[H_3O^+] \label{eq1}\]. Tips. \(K_a\), the acid ionization constant, is the equilibrium constant for chemical reactions involving weak acids in aqueous solution. By signing up you are agreeing to receive emails according to our privacy policy. HA (aq) + H 2 O (l) H 3 O + (aq) + A - ( aq) Ka = [A - ] [H 3 O +] / [HA] We can calculate the Keq (equilibrium constant) or Ka of a reversible acid-base reaction. . -log(Ka). Math which you MUST be able to complete quickly and confidently without a . This will give . This video also demonstrates the log trick by showing you how to solve an OH- concentration to pH question. I use this to help my children in their studies. Solve for the concentration of H 3O + using the equation for pH: [H3O +] = 10 pH Use the concentration of H 3O + to solve for the concentrations of the other products and reactants. The site owner may have set restrictions that prevent you from accessing the site. This article has been viewed 2,824 times. Step 2: Enter the numerical quantities into the formula. To create a more manageable number, chemists define the pKa value as the negative logarithm of the Ka value: pKa = -log Ka. The pKa to pH converter calculator is an online tool that can find the pH of a liquid solution using the pKa value and concentration. If Ka is 7.1E-7, pKa is just 7 - log7.1. How to Convert pKa to Ka. It can be used to calculate the concentration of hydrogen ions [H+] or hydronium ions [H3O+] in an aqueous solution. This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2023 wikiHow, Inc. All rights reserved. Finding an estimate of pKa from Ka is easier. Ka from pka calculator - The value of Ka will be = 1.778 x 10^-5. In other words, a low pKa indicates a strong acid and vice versa. =>K_a=10^-(pK_a) pK_a=-log_10K_a =>-pK_a=log_10K_a =>10^-(pK_a)=K_a =>K_a=10^-(pK_a) 50935 views around the world You can reuse this answer Creative Commons License Organic Chemistry pH, pKa, Ka, pKb, Kb How can I calculate the pH of a weak acid with an example? How to get pka from ka - To convert Ka into pKa, get out your calculator and find -log, then open bracket, Ka value, close bracket. Chemists determine the strength of an acid (Ka) by measuring the concentrations of HA, H30+ and A- at equilibrium and dividing the, Work on the task that is interesting to you, Chapter 8 lesson 1 homework practice circumference answer key, Chemical equation of potassium permanganate, Find the equation of an ellipse given foci and vertices, How do you do long division with 2 digits, How do you know if a function is a one to one, How to solve a system of equations by elimination without common variables, How to solve and graph an inequality with 2 signs, Unsaved change moving to the next question prevents changes to this answer. The value of Ka will be = 1.778 x 10^-5. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. Petrucci,et al. + Example 1.Use the equation Ka=10-pKa{\displaystyle Ka=10^{-pKa}} for this conversion. This is especially useful in Chemistry questions asking you to solve H+, OH-, or general ion concentrations, not to mention ka and kb values This video teaches you how to solve the potentially impossible MCAT logarithm questions without a calculator by showing you what to look for and numbers to recognize for simple and fast conversions. Solution. Chemistry Tutorial: How to convert between Ka and pKa (or Kb and MCAT Math Vid 9 - Antilogs in pH and pKa Without A Calculator. For example, log8 is just log2+log2+log2 = 0.3*3. log9 = log3+log3. Requested URL: byjus.com/chemistry/ka-to-pka/, User-Agent: Mozilla/5.0 (Windows NT 6.3; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/103.0.0.0 Safari/537.36. How do you calculate Ka from pKa? Domain and range of piecewise functions calculator, Find the domain of the function. Understanding Ka and pKa Ka = [H+][A-]/ [HA] pKa = - log Ka at half the equivalence point, pH = pKa = -log Ka. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. How to calculate pKa. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. Equations for converting between Ka and Kb, and converting between pKa and pKb. Math Tutor. This formula is based on the definition of pKa which is the negative logarithm of the acid dissociation constant. By using this website, you signify your acceptance of Terms and Conditions and Privacy Policy.Do Not Sell My Personal Information This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2023 wikiHow, Inc. All rights reserved. This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2023 wikiHow, Inc. All rights reserved. Thanks to all authors for creating a page that has been read 2,824 times. (10-6) 9.4. Dont let your maths teachers see this or they will get a heart attack and NO MORE DIFFICULTY IN HOMEWORK. 1.Use the equation Ka=10-pKa{\displaystyle Ka=10^{-pKa}} for this conversion. Video 6 - Auto Ionization of Water in MCAT Acid Base Chemistry. Vocabulary and. How do you calculate a Ka value from pKa? Solve for the concentration of \(\ce{H3O^{+}}\) using the equation for pH: \[ [H_3O^+] = 10^{-pH} \]. 2023 Leaf Group Ltd. / Leaf Group Media, All Rights Reserved. pKa is the criterion used to determine the acidity of the molecule. It is so easy to use and always gets the answer right, Although. Converting to the -log means that a lower pKa value indicates a stronger acid, as opposed to the Ka, in which a higher Ka value indicates a stronger acid. This operation gives you the dissociation constant Ka: When Ka is large, it means the conjugate ions aren't strong enough to move the reaction in the opposite direction, which indicates a strong acid. Few of them are enlisted below. Expert teachers will give you an answer in real-time. How to find pka from ka without calculator - To create a more manageable number, chemists define the pKa value as the negative logarithm of the Ka value: pKa = . How to Find Ka from pKa: Plus pKa to Ka & 5 Sample Problems To create a more manageable number, chemists define the pKa value as the negative logarithm of the Ka value: pKa = -log Ka. The formula for converting pKa to Ka is as follows: Ka = 10^-pKa. It is used to measure the acid strength. pKa is expressed as a common logarithm (base 10) and not as a natural logarithm (base e). Solving instead for Ka requires you to raise both sides of the equation by exponents of 10: [1] For this example, we'll say (which is in fact the pKa for plain water). His writing covers science, math and home improvement and design, as well as religion and the oriental healing arts. Therefore to convert pKa to Ka just find 10^ -pKa in the scientific calculator, you will get it. concentration=. Math can be tough, but with a little practice, anyone can master it! This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2023 wikiHow, Inc. All rights reserved. In practice, this means raising both sides of the equality to exponents of 10. Estimating Ka from pKa (lets say it equals 10.63) is a bit trickier and less accurate: Round to a single digit after the decimal as needed: 10.63 10.7. 2 8 8 comments Best Add a Comment symmetricinfo 4 yr. ago This is the shortcut I used. You solve this by raising both sides of the original relationship to powers of 10 to get: Ka = 10 (-pKa) We are not permitting internet traffic to Byjus website from countries within European Union at this time. You do need to pay to get worked out solutions but in a pinch it can at least speed up getting your desired answers, sometimes you have to pay to see the steps and explanation, but for the most part it's free. When citing the strength of an acid, chemists often use the dissociation constant, Ka, but this number can vary by several orders of magnitude from one acid to another. This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2023 wikiHow, Inc. All rights reserved. The correct formula is Ka=10-pKa K a = 10 - p K a . Better than Photomath. Example: Pka to ka online calculator - We will be discussing about Pka to ka online calculator in this blog post. Numerous parameters can determine the pKa value. pK to K Conversion Since pK a is the negative logarithm of K a, the value of K a can be calculated by simply reversing the above equation. This will give you your answer. Thought this trick was commonly known. pH of acid by pKa. This widget finds the pH of an acid from its pKa value and concentration. pKa is defined as the negative logarithm (-log) of Ka, which means you calculate. pH of acid by pKa. You can measure the strength of an acid by its dissociation constant K a, which is a ratio formed by dividing the concentration of products by the concentration of reactants: K a = [H30+] [A-]/ [HA] All the reactions happen in water, so it it's usually deleted from the equation. How to Convert Ka to pKa, Formula, Equation & Examples of. log7 is 0.84, so it's 7 - 0.84 or 6.16. The pKa to pH calculator use this formula to get the solution: pH = 4.75 + log10 (0.1) pH = 4.75 + (1) pKa= 3.75 How to use the pKa to pH Calculator? This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. Energy converter Temperature converter Pressure converter Length converter Ka Kb pKa pKb converter Please let us know how we can improve this web app. Catch the entire MCAT Math series on my website here: http://leah4sci.com/mcat-math-without-a-calculator/Need more help? You can work on whatever task interests you the most. If you need help with calculations, there are online tools that can assist you. Mathematics is the study of numbers, patterns, and relationships. - pKa = log Ka. It really helps a lot with my homework, even though you have to pay it's worth it and it tells you the steps also. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. Since \(H_2O\) is a pure liquid, it has an activity equal to one and is ignored in the equilibrium constant expression in (Equation \ref{eq3}) like in other equilibrium constants. The calculator takes. Use Math Input Mode to directly enter textbook math notation. var tr_would_you_like_to_opt_out = "Would you like to opt out from selling your personal informaion for the purpose of ads personalization? Find Ka. pKa = -log Ka. As: pH = pKa + log([A]/[HA]) So, The calculator uses this formula to . By raising 10 to the power of -pKa, we can calculate the acid dissociation constant. This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2023 wikiHow, Inc. All rights reserved. Remember that pKa is expressed as a common logarithm (base 10) and not as a natural logarithm (base e), so you want to find a table or select a function on your calculator that raises the number to a power of 10 rather than a power of e. Chris Deziel holds a Bachelor's degree in physics and a Master's degree in Humanities, He has taught science, math and English at the university level, both in his native Canada and in Japan. How to Evaluate Trig Functions Without a Calculator There are a few ways to calculate trigonometric functions without a calculator. pK_a = -log_10K_a. Pka to ka calculator - Pka to ka calculator is a software program that supports students solve math problems. log7 is 0.84, so it's 7 - 0.84 or 6.16. How do you calculate Ka from pKa? Even if math app is a robot he seems so sweet and . hard time doing vice versa, especially with non-whole number pH values. I get sick alot so I have alot of math homework. Quick ka to kb conversion, pOH WITHOUT an ICE TABLE, and convert from pOH to pH. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. % of people told us that this article helped them. Whether you need help solving quadratic equations, inspiration for the upcoming science fair or the latest update on a major storm, Sciencing is here to help. When given the pH value of a solution, solving for Ka requires the following steps: Set up an ICE table for the chemical reaction. To create a more manageable number, chemists define the pKa value as the negative logarithm of the Ka value: pKa = -log Ka. This app is relatively easy to use and has basically all the answers to my math questions. Calculating a Ka Value from a Known pH is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by LibreTexts. Added Mar 27, 2014 by kalexchu in Chemistry. If you're looking for an answer to your question, our expert instructors are . Your estimate of Ka is 10.8, while the actual answer is 10.63. This app has helped in countless tests/homeworks. pKa, Ka, and Acid Strength. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. Step 1: Choose the correct formula for Ka K a or pKa p K a for the question. Thus K a is the antilogarithm of the negative of pK a. K a = antilog (-pK a) The logarithm of a number x is the exponent that the number 10 should be raised, to obtain x. math is the study of numbers, shapes, and patterns. Converting for example [H+] to pH seems pretty simple, but I always have a hard time doing vice versa, especially with non-whole number pH values.