Dissolved organic compounds, especially carbohydrates (such as glucose, sucrose and starch), are Organic chemistry is an introductory course that is designed for the student who intends to continue future study in the sciences. Master the material from each lecture before going to the next one. The order of basicity of amines in gaseous state is : (1) 30 > 20 > NH3 > 10. In order to discuss these acid/base reactions of amines, we review concepts of acidity and basicity in this chapter. Organic Compounds consist 1. Given the … Below are tables that include determined pKa values for various acids as determined in water, DMSO and in the gas Phase. The order of basicity for the following compounds is : The logic I've applied is that since 4 has a conjugated system, the lone pair of N will be delocalised and hence would be the least basic. In this connection, considerable efforts have been made in the past several decades to … (Lectures of Under Graduate), Iraq ABSTRACT Acids and bases are widespread in organic molecules. BrØnsted-Lowry Definition 2. pK a Definition 3. Aromatic Amines* - Basicity of amines, effect of substituents on basicity, and synthetic uses of aryl diazonium salts; Aromatic Acids* – Acidity, effect of substituents on acidity and important reactions of benzoic acid. I'll give a very simple way to understand the concepts of Acidic as well as Basic strength of any molecule. In Chapter 3 and 4, we will focus on N-heterocyclic carbenes The actual pKa values agree with this prediction: CH4 pKa 51 (weakest acid), NH3 pKa 38, H2O pKa 15.7 and HF pKa 3.2. Acids and bases do not require much math at the organic chemistry level. electron density on the atom. Acidity and Basicity of Organic Compounds. For a more comprehensive discussion on this topic, please see Acidity and Basicity by professor William Reusch, Michigan State University. Alkynes Alkyl Halides. Aldehydes and Ketones. Recommended Books (Latest Editions) 1. Instead you will be required to understand what makes a strong acid or weak conjugate base. The self-consistent basicity scale in acetonitrile was updated and expanded to contain 279 compounds. For example, when hydrogen chloride is We will also go over the principles of acid-base chemistry. Alkenes. Alkanes. They'll give your presentations a professional, memorable appearance - the kind of sophisticated look that today's audiences expect. World's Best PowerPoint Templates - CrystalGraphics offers more PowerPoint templates than anyone else in the world, with over 4 million to choose from. Organic Chemistry by Morrison and Boyd : Influence of organic compound functionality on aerosol hygroscopicity Atmospheric aerosols are composed of a plethora of inor-ganic and organic species from a diverse range of biogenic and anthropogenic sources, including inorganic salts, sul-fates, nitrates, metals and organic compounds, such as acids, stabilization. Introduction. of conjugate acid relates with the leaving group ability in S N 2 reaction. Lesson 14 Acidic and Basic Character of Organic Compounds - Free download as Powerpoint Presentation (.ppt / .pptx), PDF File (.pdf), Text File (.txt) or view presentation slides online. Topics covered include aliphatic and aromatic compounds, alcohols, aldehydes, ketones, acids, ethers, amines, spectra, and stereochemistry. Origin of Acidity & Basicity in Organic Compounds. To check for acidity among unsaturated compounds, check the hybridisation of the carbon involved. Bronsted-Lowry defintion: Acidity is the extent to which a substance will donate a proton/hydrogen ion. Two types of organic nitrogen-containing compounds are the focus of this chapter amines and amides. 2. ¥Carboxylic acids R C H O Carboxylic acid derivatives: ¥Esters ¥Anhydrides ¥Acid halides ¥Amides ... because they dissolve both aqueous and organic compounds Recall that acetone is a polar, aprotic solvent. Rank the order of basicity of the following organic compounds from most to least basic. Acidity and basicity of organic compounds. The Effects of the Medium on Acid and Base Strength - Acids and Bases - Introduction - This book explains the theories and examples of organic chemistry, providing the most comprehensive resource about organic chemistry available. Adsorption Characterization Molecular Sieves NMR Physical Chemistry analytical chemistry catalysis chemistry inorganic chemistry organic chemistry zeolites . Ch 1 : Acidity and Basicity. Carboxylic acids have a greater number of dipoles and stronger dipoles than these other organic compounds, and thus can form more and stronger H-bonds with other substances Your goal is to understand the nature of acidity and basicity so that you can comfortably rank the strong and weak molecules based on structure and conjugates. • Acidity and basicity of organic compounds • Alkanes • Stereochemistry • Overview of organic reactions • Alkenes • Alkynes • Alkyl halides • Benzene and aromatic compounds • Alcohols and phenols • Carbonyl compounds • Synthesis using the chemistry of 5.12 2 Ethers and Epoxides. Keywords. Remember that acidity and basicity are the based on the same chemical reaction, just looking at it from opposite sides, so they are opposites. 15. Twelve novel phosphazene bases They belong to the most common types of Brdnsted acids in organic chemistry, like the CH and OH acids. Chapter 3 is a discussion of acidity and basicity in organic chemistry. About this book. of conjugate acid relates with the leaving group ability in S N 2 reaction. Conclusion I. In Chapter 2, we will describe the gas phase acidity and reactivity studies of a series of organic compounds with different substituent. compounds pK 23.1. 26 — Experiment 10 A, Acidity/Basicity of Organic Compounds Compounds with Acidic SH Groups In principle, the acidity of XH compounds increases when X (within the same group) is of a higher period. This video takes you through a series of aromatic acid comparisons. A: Functional groups in organic compounds B: Naming organic compounds C: Abbreviating organic structure drawings Section 3: Structures of some important classes of biological molecules A: Lipids B: Biopolymer basics C: Carbohydrates D: Amino acids and proteins E: Nucleic acids (DNA and RNA) After going through all the tests, it was proven that organic compounds possess different properties. Qualitative test, Structure and uses of Ethanolamine, Ethylenediamine, Amphetamine. View ♱ Quiz 1 pt 4 ♱.pdf from CHST 533 at Ryerson University. The salt will extract into the aqueous phase leaving behind neutral compounds in the non-aqueous phase. In natural waters, the pH measurement scale is logarithmic, ranging from 0 to 14, with the center point pH = 7.0 as neutral. mass of acid = ( Equivalent mass of acid) = Equivalent mass of silver salt – Equivalent mass of Ag + Basicity = 152 – 108 + 1 = 152 – 109 = 43 (Equivalent mass of acid) Step 3- To determine the molecular mass of acid. Acids and bases do not require much math at the organic chemistry level. Organic chemistry is rational and systematic. N H R H Conjugate systems/Resonance is not seen in the other three compounds. Lewis Acidity and Basicity: An Ab Initio Study of Proton and BF3 Affinities of Oxygen-Containing Organic Compounds Organic compounds are the complex compounds of carbon. These tables are compiled in PDF files below. O 14. 24.5 Basicity of Amines The chemistry of amines is dominated by the basicity of the nitrogen lone pair N OR O H NH OR O + + 293 Alkyl amines are stronger bases than water, alcohols or ethers R 3N: + H 2O R 3NH + HO +-K b = [R 3NH+] [HO-] [R 3N] pK b = - log K b pK b values are rarely used. Hydrocarbons which have pKa of about 48 are almost non-acidic, but with special structural features such as added benzene rings or adjacent carbony groups, the pKa values approaces that of weak organic acids. Acid. More the stability of the conjugate base, stronger is the acid. CH 3MgBr CH 3NHNa CH 3NH 2 13. More the s-character on the carbon more is its electronegativity and hence, more is the acidity. Basicity 10 • Amines are weak bases • Relative basicity of amines can be compared in terms of pKa values for their respective conjugate acids – The more basic the amine, the higher the pKa of its conjugate acid will be • Primary alkyl amines are more basic than ammonia – An alkyl group helps to stabilize the alkylaminium ion When we study about acidity of compounds, we have to look their reactions with following compounds and products and then observe reaction rates. Background Handout (PowerPoint and.pdf). Organic Reaction Mechanisms. We will then have a look at more specific compounds and… Predicting pK a Values a. idenity of conjugate base b. hybridization c. inductive effects acidity of the group, such as resonance and induction. The strength of a strong acid is leveled by the basicity of the solvent, and the basicity of strong bases is likewise limited by solvent acidity. Readers are guided on planning and execution of multi-step synthetic reactions, with detailed descriptions of all the reactions. Chapter 1: Structure Determines Properties. Aromatic Compounds. Properties of amines. Your organic teachers are quite likely to ask you questions like identify the most acidic protons or the most basic site in a molecule. 1. Organic Chemistry by Andrew Rosen. E. Inductive Effect REVIEW IN ACIDITY AND BASICITY OF COMPOUNDS NAGHAM MAHMOOD ALJAMALI Organic Chemistry, Chemistry Department, College of Education. This article deals with the acidic and basic nature of organic compounds. essential. understand the nature of acidity and basicity so that you can comfortably rank the strong and weak molecules based on structure and conjugates. Abstract:Density functional theory (DFT) has been used to assess the ð-acidity andð-basicity of metal-organic trimetallic macromolecular complexes of the type [M(í-L)]3, where M ) Cu, Ag, or Au and L ) carbeniate, imidazolate, pyridiniate, pyrazolate, or triazolate. by comparing the basicity data of related compounds in different solvents, as well as by using isodesmic reactions. Twelve novel phosphazene bases 1 Consequently a precise knowledge about the acidity and basicity of organic compounds in various solvents is fundamental for the study of mechanistic organic chemistry. As we know acids release H+ ion. Chapter 3 is a discussion of acidity and basicity in organic chemistry. Indeed as a class of organic compounds, amines are the strongest bases of all neutral molecules. This is, of course, easiest to do when an atom bears a charge of +1 in the first place, and becomes progressively more difficult as the overall charge becomes negative. In Chapter 2, we will describe the gas phase acidity and reactivity studies of a series of organic compounds with different substituent. Factors Affecting the Acidity of Organic Compounds IV. DR. Amines basicity is measured by the pK a of Rank the compounds below from most acidic to least acidic… LEC # TOPICS LECTURERS HANDOUTS; 1. 3. Acid-Base Chemistry (Section 1.13-18) Acidity/Basicity Table Entry Class Structure Ka Acid Strength Base Base Strength 1 Strong Acids H-Cl, H 2SO 4 10 2 2 Hydronium H 3O +, ROH+ cationic 100 H 2O, HOR neutral 3 Carboxylic Acid R 10-5 R 4 Ammonium Ion (Charged) 10-12 C 5 Water HOH 10-16 6 Alcohol ROH 10-17 7 Ketones and Aldehydes H 10-20 O Ammonia. Table of pK a values in MeCN and H 2 O, as well as gas-phase basicity values (PDF) Tetrahedron Letters 2017, 58, 2098–2102: pK a values (basicity) Acetonitrile, H 2 O. UV-Vis spectrophotometry. First Acidic strength. HI, with a pK a of about -9, is one the strongest acids known. Magnitude of the Effect. The ionized form of a base is the conjugate acid that appears in the denominator of the H-H equation. Giving reasons, arrange the following compounds in order of increasing acidity: CH3CO2H, CH3SO3H, CH3CH3, CH3CHO, CH3CH2OH, CH2=CH2, HCCH 4. stronger Brønsted acids than water (increase [H +]) Amphoteric oxides – upon reaction with water form materials that can react with both bases and acids . Search Search. Get the complete syllabus here –. A base is a substance that releases OH − ions on dissolving in water. Dr. Kimberly Berkowski ((2. Carboxylic acids and their derivatives - 1. Acidity and basicity of carboxylic acids. 2. Conversion of carboxylic acids to esters ... 1. Acidity and basicity of carboxylic acids ... | PowerPoint PPT presentation | free to view Structural Effects on Acidity - Decreasing basicity: Amines ... Most of the acidic organic compounds are weak acids.Dissociation constant of acids (K a) value tells us about the acidity or strength of the acid.When Ka value is high, acidic strength is high. Amines are organic compounds which contain an. If a compound releases an aromatic conjugate base, the aromaticity stabilises the conjugate base, which make the compound a stronger acid. If the released conjugate base is anti aromatic, the anti aromaticity destabilises the conjugate base, making the compound a weaker acid. Electron donating inductive effect ( +I effect) of alkyl group increases the electron density on O – H bond making the release of H + ion difficult. the types of compounds are alcohols, carboxylic acids and amides Bases. basicity (sharing their lone pair of electrons with a proton) and nucleophilicity (sharing their lone pair with an electrophilic carbon) . Winner of the Standing Ovation Award for “Best PowerPoint Templates” from Presentations Magazine. This is because, higher the `s’ character, closer are the electrons to the nucleus of C and farther the electrons go from H, easily can H be removed as H … The pKa values of some common organic compounds are shown below. Steric effect V. Acidity and Basicity VI. Less than 7 acidic, greater than 7 basic. Organic Structures: Summary (so far). Now that we have seen the pKavalues of several functional group and know what they represent in general, we shall have a look at more specific More importantly to the study of biological organic chemistry, this trend tells us that thiols are more acidic than alcohols. So what remains is [math]A^-. An acid is a substance that releases H + ions on dissolving in water. Amines are organic compounds which contain and are often actually based on one or more atoms of nitrogen. Page 6/10 The more stable conjugate base (anion) formed, the. The problems have been color-coded to indicate whether they are: 1. Stability of Reaction Intermediates I. ORGANIC CHEMISTRY Is is the study of the compounds of carbon Organic compounds: made up of C covalently linked to atoms of other elements, most commonly H, O, or N (some contains S,P, halogens) 1.a Why do we study organic chemistry? by comparing the basicity data of related compounds in different solvents, as well as by using isodesmic reactions. Substituted aromatic compounds can have varying acid strength based on the type AND location of the substituent. 2- PHARMACEUTICAL ORGANIC CHEMISTRY –II (Theory) books 3- PHARMACEUTICAL ORGANIC CHEMISTRY –II (Theory) study material PHARMACEUTICAL ORGANIC CHEMISTRY –II (Theory) 3rd sem Sallybus :-Scope: This subject deals with general methods of preparation and reactions of some organic compounds. Organic compounds are more stable in water as ions if the pH of a solution is lowered, the amount of the acidic form present increases, and the solubility decreases. For acetone: dipole moment = 2.7 D ... Basicity of Aldehydes and Ketones We are going to get a measure of this by looking at how easily the acids release hydrogen … The remaining 10 are called ___ amino acids since they must be obtained from dietary sources. To parametrize aLewis acidity/basicity scale that is independ-ent of fixed reference compounds, alarge set of equilibrium constants,covering abroad range of acidity/basicity,isre-quired. Step 2 – To calculate the eq. are organic bases because they react with both weak and strong acids. Page 6/10 Acids and Bases in Organic Chemistry Cheat Sheet Study Guide Acids are chemical compounds that release hydrogen ions (H+) when placed in water. Acidity or basicity of water is indicated by pH, which is formally defined as the negative logarithm of the hydrogen ion concentration. So any factor will stabilize the anion will increase the. Organic Chemistry Jasperse Acid-Base Practice Problems A. (2) 10 > 20 > 30 > NH3. 3.1 Halogen, OH, and NH2 Functional Groups Alkanes and cycloalkanes contain only C and H atoms, but most organic molecules also have Alcohols. Most books would deal with this effect in a very sketchy way, but it is important to understand the basis of this effect. Scribd is the world's largest social reading and publishing site. Similarly greater the number of OH − ions produced in the aqueous solution, the stronger is the base. Organic Chemistry Practice Problems at Michigan State University. The order of basicity of amines in gaseous state is :- (1) 3 ∘ > 2 ∘ > NH 3 > 1 ∘ (2) 1 ∘ > 2 ∘ > 3 ∘ > NH 3 (3) NH 3 > 1 ∘ > 2 ∘ > 3 ∘ (4) 3 ∘ > 2 ∘ > 1 ∘ > NH 3 [JEE (Main)-2013] SHOW SOLUTION. I'm not entirely sure about how to differentiate between the other three. A qualitative discussion of acid strength is followed by the notion of pKa's and a semiquantitative method for estimating the position of an acid‐base equilibrium is developed. Generally useful, 2. A qualitative discussion of acid strength is followed by the notion of pKa's and a semiquantitative method for estimating the position of an acid‐base equilibrium is developed. Accordingly, SH compounds generally are more acidic than the analogous OH compounds. Organic Chemistry Chapter 5 Acid-Base Theory 5.1 Acids and Bases 209 5.2 Acid and Base Strength 215 5.3 Hard and Soft Acids and Bases 222 5.4 Organic Acids and Bases 226 5.5 Relative Acidity and Basicity 231 5.6 Substituent Effects on Acidity and Basicity 235 Key Ideas from Chapter 5 238 Carboxylic Acids and Derivatives. Introduction II. However, in contrast to the latter, which have become the objects of numerous quantitative investigations1"5, until recently few studies were fCl. Examples: Li 2 O, CaO, and BaO react with water to form basic solutions and can react with acids directly to form salts. 5584 A. Marsh et al. The student will learn the concepts and applications of organic chemistry. Heterocyclic Compounds… The pK a values here are lower by about 4–7 units. Organic Chemistry Lecture Outline Acids & Bases Both of these compounds would be soluble at this pH. Thus a total of 28 topics are covered in the JEE Advanced syllabus 2021/2022 for Chemistry. Make a structural argument to account for its strength. Amines. Background. The following problems are meant to be useful study tools for students involved in most undergraduate organic chemistry courses. Although amines are weak bases, they are considerably more basic than alcohols, ethers, and water. In the first step, we determined the equilibrium con-stants for the formationofadducts of triarylboranes 1 with 2. Instead you will be required to understand what makes a strong acid or weak conjugate base. Acidic pH … PDF. Contents I. Unit III (10 Hours) Fats and Oils; Fatty acids – reactions. Article Views are the COUNTER-compliant sum of full text article downloads since November 2008 (both PDF and HTML) across all institutions and individuals. Bibliographic information. Acids and Bases. Reactivity of organic compounds are also studied here. pH scale quantifies the acidity or basicity of solutions. Because carbon atoms bond to one another easily, the basis of most organic compounds is comprised of carbon chains that vary in length and shape. the huge influence of surface chemistry on the performance of carbon materials, it is interesting to explore a better/new way to produce activated carbon with both high surface acidity and basicity. NOTE: The ionized form of an acidic functional group is its conjugate base (or basic form) that appears in the numerator of the H-H equation. ChemistryChemistryAcid-base Behavior in Aprotic Organic SolventsLewis Basicity and Affinity ScalesSuperbases for Organic SynthesisSolid Acids and BasesAcids and BasesBasic principles of organic chemistryMain Group Strategies Towards Functional Hybrid MaterialsOrganic ChemistryOrganic ChemistryThe Proton in Chemistry Your answer should involve the structure of the conjugate base of nitric acid. These effects are very significant in organic chemistry and biology. 1.Among hydrocarbons, acidity increases with the % `s’ character . Download eSaral App for Video Lectures, Complete Revision, Study Material and much more... Sol. Acidity of Organic Molecules A. Bronsted-Lowry Acids and Bases 1. The acidity of carbonyl compounds is an important driving force in many organic reactions such as the aldol reaction. Alpha-Carbon Reactivity. PHARMACEUTICAL ORGANIC CHEMISTRY ... Acetyl salicylic acid Aliphatic amines* - Basicity, effect of substituent on Basicity. Stable negative charge results from lowering the. The nitrogen in an amine has a lone pair (a pair of valence electrons that are not shared with another atom). Your goal is to understand the nature of acidity and basicity so that you can comfortably rank the strong and weak molecules based on structure and conjugates. To check the acidity of an organic compound, remove the proton and then check the stability of the resulting conjugate base so formed. General acidity trend of common organic acids (this is a very useful sequence to remember and to be able to rationalise): A convenient way to look at basicity is based on electron pair availability.... the more available the electrons, the more readily they can be donated to form a new bond to the proton and, and therefore the stronger base. Likewise, SO 3, CO 2, and N 2 O 5 form acidic aqueous solutions and Resonance, Acidity and Basicity Removal of a proton, H+ , decreases the formal charge on an atom or molecule by one unit. Greater the number of H + ions produced in the solution, the stronger is the acid. Organic compounds whose N-H bonds are involved in a protolytic equilibrium can be regarded as NH acids. … The acidity trends reflect this: Note that once a To download the PDF file of the syllabus access the direct link below. Substituent Effects on Acidity Constants (14.2A) Organic chemists have examined how substitutents affect the acidity of carboxylic acids (R-CO2H) by varying the group S in carboxylic acids with the general structure S-CH2-CO2H. between conjugate basicity and acidity is an inverse one, so the order of acidity is: CH4 (weakest acid) < NH3 < H2O < HF (strongest acid). For amines one can take advantage of their basicity by forming the protonated salt (RNH 2+ Cl − ), which is soluble in water. There are a total of 11 topics in physical chemistry, 7 in inorganic chemistry, and 10 in the organic chemistry section of the syllabus. Aromaticity plays a big role in acids and bases, typically covered at the orgo 2 level. acidity and basicity of organic compounds stereochemistry, as applied to the previous topics concepts and consequences of resonance and aromaticity spectroscopy at a basic level as applied to the previous topics Since this may be the only course in organic chemistry a student may see, the lecture and laboratory must reinforce The acidity of carboxylic acids (R-CO2H) depends on the structure of the R group. The relationship of amine basicity to the acidity of the corresponding conjugate acids may be summarized in a fashion analogous to that noted earlier for acids: Strong bases have weak conjugate acids, and weak bases have strong conjugate acids. Extraction is often employed in organic chemistry to purify compounds. The organic compounds benzene, triazole, Nucleophilicity and Basicity Factors in Organic Reactions General Principals Recall the definitions of electrophile and nucleophile: Electrophile: An electron deficient atom, ion or molecule that has an affinity for an electron pair, and will bond to a base or nucleophile. The word steric is derived from ‘stereos’ meaning space. Introduction In this post, we shall start by looking at a list of common organic compounds and their respective pKa values, known as the pKa table. • Acidity and basicity of organic compounds • Alkanes • Stereochemistry • Overview of organic reactions • Alkenes • Alkynes • Alkyl halides • Benzene and aromatic compounds • Alcohols and phenols • Carbonyl compounds • Synthesis using the chemistry of 5.12 2 Introduction to Organic Chemistry, Review, Molecular Structure. observed for other organic compounds containing OH and/or C=O dipoles such as amines, alcohols, phenols, aldehydes, ketones, esters, amides and isosteric compounds. Basicity values for simple nitrogen bases in different solvents and in the gas phase were compiled and discussed. http://leah4sci.com/acidbase presents: CARIO O = Orbital Hybridization. stronger the acid will be. acid. Yet this is critical since an acid will typically react at the most basic site first and a base will remove the most acidic proton first. Organic acids as weak acids For the purposes of this topic, we are going to take the definition of an acid as "a substance which donates hydrogen ions (protons) to other things". The aqueous layer is then treated with a base (NaOH) to regenerate the amine and NaCl. In comparing acidic strength of organic acids:. Identify each chemical as either an “acid” or a “base” in the following reactions, and ... C. Rank the basicity of the following sets: Multiple Variable Problems 12. (4) Basicity ∝ + I effect. Table of pK a values in MeCN and H 2 O, as well as gas-phase basicity values (PDF) Tetrahedron Letters 2017, 58, 2098–2102: pK a values (basicity) Acetonitrile, H 2 O. UV-Vis spectrophotometry. So the acidic nature increases with the increase in +I effect of alkyl group. This note covers the following topics: Bonding and Molecular Structure, Families of Carbon Compounds, Organic Reactions and Their Mechanisms, Nomenclature and Conformations of Alkanes and Cycloalkanes, Stereochemistry, Ionic Reactions, Alkenes and Alkynes, Alcohols and Ethers, 0 Alcohols from Carbonyl Compounds. Let's review how to keep track of electrons using formal charges, oxidation states, oxidation-reduction reactions, and resonance structures. carboxylic acids, and esters In this chapter we extend our discussion to organic compounds that contain the element nitrogen. Meldrum's acid and barbituric acid, historically named acids, are in fact a lactone and a lactam respectively, but their acidic carbon protons make them acidic. Examples : Q. Formic acid is stronger acid than acetic acid, why? Explain how the relative stabilities of the acids and their conjugate bases can be useful in rationalising the acid/ base properties of organic compounds. Key Facts & Summary: An amine is an organic compounds or a functional group that contains a basic nitrogen atom. In Chapter 3 and 4, we will focus on N-heterocyclic carbenes Exercise 7.4. How to Check the Acidity of Organic and Unsaturated Compounds? Amines are carbon-hydrogen-nitrogen compounds, and amides contain oxygen in addition to these elements. Summary. Lecture handouts. Goal: Learn tools to. II. Simple equations for conversion of the pK aH values from acetonitrile to other solvents have been formulated and discussed. HA is any acid while B is any base. The pKa Table III. 1.. IntroductionProton transfer is one of the most important processes in the transformations of organic molecules. Nitric acid is a strong acid - it has a p K a of -1.4. molecular mass of the acid = Equivalent mass of acid × basicity = 45 × 2 = 90.
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