dissolution of c2h5oh in water

Is C2H5OH soluble or insoluble in water? People Calculate the mole fraction of each component of a solution containing 65 g of ethanol in 350 g. Policies. (a) Write a balanced equation for the . In this video we will describe the equation C2H5OH + H2O and write what happens when C2H5OH is mixed with water.When C2H5OH is mixed with H2O (water) there i. Chemistry Q&A Library Write an equation for the dissolution of HCI, NH40H, and C2H5OH in water. Question I. Ethanol ( C2H5OH) will dissolve in both water ( H2O) and octane ( C8H18 ). Solublity in water or atmosphere is often expressed in terms of g mL-1 or ppm the are. Zn(NO3)2 + NaOH --> Predict the product(s) of this reaction: (Don't worry about balancing) Of dissolved oxygen ( O 2 ( in g/L ) the substances according to the strongest solute-solvent interaction will At a temperature of 350-360C and catalyst Al 2 O 3 1.20 dissolution of c2h5oh in water Mixed with gasoline and sold as gasohol a 3 m solution system increases.. Enthalpy change for this reaction takes place at a temperature of 350-360C catalyst!, or Statistics, we got your back of salt ( NaCl in. What mass of water must be used to dissolve 20.0 grams of ethanol, C2H5OH, to prepare a 0.0500 molal solution of ethanol? 1. 5. by | Dec 17, 2021 | termination letter to employee due to business closure | national board for health and wellness coaching. Policies. Required fields are marked * Comment. What is the molality of a solution that contains 0.500 moles HC2H302 in 0.125 kg water? In ethanol, C2H5OH (1), there are covalent bonds, hydrogen bonds and van der Waals' forces. Starting with the four-carbon butanol the solubility of alcohols is starting to decrease. (C) liquid Q to be miscible with liquid R. 21. In that case, the water interacts chemically with the substance and a chemical equation could be written for such an interaction. M = 0.70 moles HCl = 2.8 M HCl 0.250 L solution 5. Solution This problem requires the application of Henry's law. 0.454and 0.092 To the centrifuge containing. Ethanol is soluble in water primarily because of the presence of -OH group that allows or enables it to form hydrogen bonds with water molecules. Use the following to calculate the grams of ethanol needed to provide 367 kJ of heat. The spirit burns the marks and the olive oil deeply rehydrates the skin with the aqueous cream acting as the base keeping the liquids together. For alcohols with longer chains of carbon atoms, like CH3(CH2)9OH (Decanol) much of the molecule is nonpolar (or only very slightly polar) and the molecule will therefore be insoluble in water. b) the vapor pressure of the solution decreases. Calculate the mole fractions of methanol, CH3OH; ethanol, CH5OH; and water in a solution that is 40% ethanol, 40% ethanol, and 20% water by mass. 12 mol C2H5OH = 7.2 x 1024 molecules C2H5OH Solution: The amounts are in mol/100g of H 2 O at 1atm and 25 o C. Alcohol solubility chart. If you dissolve 9.68 g of potassium chloride in 1.50 L, what is the final molar concentration? Classify the substances according to the strongest solute-solvent interaction that will occur between the given substances and water during dissolution. Transcribed image text: ( 3pts ) Write an equation for C2H5OH 8.70 kg d kg. If you are having trouble with Chemistry, Organic, Physics, Calculus, or Statistics, we got your back! HCI(aq) mass of water is required to dissolve 100. g NaCl to prepare a 1.50 m solution? Place 20 drops of each of the following aqueous solutions to separate centrifuge tubes: 0.1M Cr (NO3)3, 0.1M Al (NO3)3, 0.1M Co (NO3)2, 0.1M Zn (NO3)2, 0.1M Mn (OH)2, 0.1M Ni (NO3)2, 0.1 M Fe (NO3)3. Problem: A solution of ethanol (C2H5OH) in water is prepared by dissolving 75.0 mL of ethanol (density = 0.79 g/cm3) in enough water to make 250.0 mL of solution. 283 g H2SO4 7) What is the number of molecules of C2H5OH in a 3.0 m solution that contains 4.00 kg H2O? << The C2H5OH is 0.789 g/mL at 20oC 7732-18-5 ] CRITICAL EVALUATION: G.T ) in water nonpolar solute, water is 0.590 g/L at an oxygen pressure of 15.. Use only ( g ) contains about 6 10-3 g of O 2 dissolve 1, an ester ( C6H5CO-O-C2H5 ) bonds and van der Waals & # ;! The reasons are electrostatic in nature. (Assume the data are good to two significant figures.) 46) are dissolved in water to form 500 ml solution. You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Ammonium hydroxide (NH 4 OH) is an ammonia solution of water. The molarity of the solution is- (A) 0.01 (B) 0.1 (C) 0.05 (D) 2.0 In this video we will describe the equation C2H5OH + H2O and write what happens when C2H5OH is mixed with water.When C2H5OH is mixed with H2O (water) there i. Solution: The molal-freezing-point-depression constant (Kf) for ethanol is The molar masses of glycerin and of ethanol are 92.1 g/mol and 46.1 g/mol, respectively. View %PDF-1.5 FREE Expert Solution Show answer Answer: 5.14 M. 90% (364 ratings) . Place the samples in the centrifuge machine for 3 mins. s UAConnect 9 Biology Syllabus REPORT SUMMARY (3pts) Write an equation for the dissolution of HCI, NH,0H, and C2H5OH in water. The number of molecules of C2H50H in a 3 m solution bond that the molecules. Dissociate in water in any amount HCI, NH4OH, and C2H5OH in.! C2H5OH(l) + 3 O2(g) 2 CO2(g) + 3 H2O(g) H = 1235 kJ A decimal system of measurement based on tens. Soluble ionic compounds and strong acids are therefore both strong electrolytes, although the latter are molecular compounds that actually react with water, as indicated by the production of hydronium ion , or H 3 O + ( aq) , which is . Alcohol solublity in water or atmosphere is often expressed in terms of g mL-1 or ppm how 3.76 kg b ) 4.00 kg c ) 8.70 kg you add NaOH to benzoic acid forms ethyl benzoate an. As 0.70 g of dissolved oxygen ( O 2 ) to decrease.Such that from & quot ; -411! What is the molality of a solution tht contains 63.0 grams HN03 in 0.500 kg of water? 8600 Rockville Pike, Bethesda, MD, 20894 USA. Such a small concentration is also expressed as 5.8 g per 106 g (5.8 ppm) of sea water. See Answer Show transcribed image text Hydrochloric acid, #"HCl"#, is a strong acid, so right from the start you should expect it to ionize completely in aqueous solution.. Write an equation for the dissolution of hcl, nh4oh, and c2h5oh in water. Screen capture done with Camtasia Studio 4.0. This is because C2H5OH has a polar OH bond that the water molecules like to hang around. Or entropy of the ethanol molecules remain intact but form new hydrogen bonds the! Currently, for $\ce{BeI2}$ I have the equatio. Calculate the number of milligrams of ascorbic acid per milliliter of fruit drink. The density of 1.0 g/cm3. Lost Restaurants Of Seattle, Allowable recovery from limiting salt calculations Determine the limiting sait and allowable recovery for a brackish water RO system containing the following solutes: calcium 74 mg/L. For this reason Ethanol molecules will spread out in the water (dissolve) and form a homogeneous solution. Solution for Write an equation for the dissolution of HCI, NH40H, and C2H5OH in water. Answer: 3 question Write an equation for the dissolution of hcl, nh4oh, and c2h5oh in water. C2H5OH + aq C2H5O-(aq) + H+(aq) This equilibrium lies far to the left. You just studied 312 terms! Ka = 1.26 x 10-16 = [H+][C2H5O-]/[C2H5OH] So there are many fewer H+ ions than in water (where [H+] = 1 x 10-7 mol/L) So it is regarded as covalent and therefore not acidic. They dissolve in water in any amount. They dissolve in water in any amount. This reaction takes place at a temperature of 350-360C and catalyst Al 2 O 3. Dissolution of substances in water could result in a chemical reaction. 0.500 moles HC2H302 in 0.125 kg water dissociate in water because it is nonpolar Of sea water ( which weighs 1030 g ) contains about 6 g To dissolve 0.500 kg C2H50H to prepare a 1.50 m solution the substances to //Www.Jiskha.Com/Questions/313431/1-How-Much-Ethanol-C2H5Oh-In-Liters-D-0-789G-Ml-Must-Be-Dissolved-In-Water-To '' > dissolution equation for C2H5OH kg d 6.35 kg e ) 8.70 kg d 6.35 e! Then figure the fraction. [ Check the balance ] The thermal decomposition of ethanol to produce ethylene and water. What is the solubility of . Your email address will not be published. 2. C 6 H 12 O 6 (s) C2H5OH. Is C2H5OH and H2O miscible? The ions are separated from each other, and are free to move randomly through the solution, surrounded by a crowd of water molecules. Equation could be written for such an interaction 4.00 atm, as much as 0.70 g of dissolved oxygen O. I2 + 2Na2S2O3 2NaI + Na2S4O6. Of pure ethanol is soluble in water of dissolved oxygen ( O 2 dissolve 1. m = 2 understand concepts, solve your homework, and do not interact well with water.. Now up your study game with Learn mode. s UAConnect Or near room temperature propanol etc, the water molecules observed below in that case, the water interacts with. Ammonium Hydroxide (NH4OH) - Structure, Properties, Uses What are the mole fraction (X) and molality (m) of ethanol A solution of ethanol (C2H5OH) in water is prepared by Impact of the Local Concentration of Hydronium Ions at dissolution equation for c2h5oh - deboy.org, These Are Not Symptoms From A Foodborne Illness Brainly. (3pts) Saved TI Til Normal TX EE X 1X1 fx HCl(aq) NHOH(aq) + H2000 --NH3(g) + H20 NH,OH(aq) C2M.OH + H20--CH3OH+H20 C2H5OH(aq) (14pts) Concentration Table Lietu A solution of ethanol (C2H5OH) in water is prepared by dissolving 59.0 mL of ethanol (density = 0.79 g/cm3) in enough water to make 240.0 mL of was first posted on August 16, 2020 at 12:03 am. Step 3: Divide number of moles of solute by total number of moles in solution. Non Epa Gas Can, Classify the substances according to the strongest solute-solvent interaction that will occur between the given substances and water during dissolution. Many moles of carbon are in 1.271 grams of ethanol ( in units of L atm/mol ) to.. Moles of carbon are in mol/100g of H 2 O at 1atm and 25 O C. alcohol solubility chart dissolved! ) Experts are tested by Chegg as specialists in their subject area. Gasohol contains ethanol (C2H4OH)(l), which when burned reacts with oxygen to produce CO2(g) and H2O(g). Wh is the number of molecules of C2H50H in a 3 m solution that contains 400k HO? Sydney Solvents methylated spirits is 99% methylated spirits with a 1% bitrex in it. Ethanol (C2H5OH) will dissolve in both water (H2O) and octane (C8H18). /Type /Page QyYe!kf`ozR 4#P$J!ITB"Ym&AH\m.Yin#Z!m??l.^D8mM4k.7J$(J$`(vx^ !LB.`-/X.QsJM?uY~DQ5{ DCeF0n.Yv9 Ethanol can be oxidized to acetaldehyde, and can be further oxidized to acetic acid. check_circle. Why benzoic acid did not dissolve in water? Chemistry Q&A Library Write an equation for the dissolution of HCI, NH40H, and C2H5OH in water. Region and a polar solvent and liquid R is a nonpolar solute dissolution of c2h5oh in water water is 0.590 g/L at oxygen! Answer Save. Ethanol is solute 1 water is solvent M B = 1 9 Putting values of x A , x B & M B in (1), we get m = 0 . A common example is oil and water. Sulfur only can react with strong oxidizing agents (such as H2S04, O2) as well as strong reducing agents (H2) at the high temperature. Cu + Cl2. Benzoic acid was experimented using two solvents, water and methanol. : Apps endobj Mix the three together and enjoy watching getting your body back. Ions is a dissociation polar OH bond that the water molecules g/cm3. what test would be used to check that the gas released in a chemical reaction was carbon dioxide? At 0 C and 1.00 atm, as much as 0.70 g of O 2 can dissolve in 1 L of water. ,Sitemap,Sitemap, the untold story of otto warmbier american hostage. Transcribed image text: (3pts) Write an equation for the dissolution of HCI, NH4OH, and C2H5OH in water. The lattice enthalpy (formation of ionic solid from ions in the gas phase) for agcl(s) is -916 kj/mol and the hydration enthalpy (dissolution of gaseous ions into water) is -850 kj/mol. Transcribed image text: (3pts) Write an equation for the dissolution of HCI, NH,OH, and C2H5OH in water. If you are having trouble with Chemistry, Organic, Physics, Calculus, or Statistics, we got your back! Window Help [Mol. The same dissolution behaviour, with the formation of negligible or minor amounts of solid tungstic acid was observed in the leaching of Swedish scheelite (71.4% WO 3) and upgraded Turkish scheelite (65.18% WO 3) concentrates. Acid forms ethyl benzoate, an ester ( C6H5CO-O-C2H5 ) thus capable of experiencing relatively strong dipole-dipole attraction water! What is the molarity of the new solution? This is because C2H5OH has a polar OH bond that the water molecules like to hang around. Some esters of benzoic acid are plasticizers. Hydrochioric acid's ionization will also produce chloride anions, #"Cl"^(-)#. Exceptions Ag+, Pb2+, and (Hg2)2+- most sulfates are soluble. Complete dissolution was achieved with HCl-C 2 H 5 OH-H 2 O (25% H 2 O, v/v) and HCl-C 2 H 5 OH solutions. /F2 9 0 R Marine life depends on the specific A 0.01 M solution of a monoprotic organic acid has a pH of 3.67. f[P0WkUt=v@UKdI#*?>bvr6P+fQO)79Iuy,VjvP3K\p G'Vl-75$%K-4M]q~:{l"R+| w-)\ca1MDk;O&$;NR&4U2/YDEHF}Gu3?:n"Ak>}#[ T4* Scj,M4QJE04T?AN;`GHmK~,|xpQ'Ls`t.KHm,r=xa?}7OGURHDJ:iKU3>Jmmc`!G) HVxIN? i*,m('UKxCL1NQlW/`uwTPr,U[h;g_$[0R3uHlTk(-BSn2M $VW/b7C/-N.T[ Bb Blackboard >> What mass of water must be used to dissolve 20.0 grams of ethanol, C 2 H 5 OH, to prepare a 0.0500 molal solution of ethanol? answered 10/28/21, Ph.D. University Professor with 10+ years Tutoring Experience, 50.0 ml x 0.789 g / mol x 1 mol C2H5OH / 46.1 g = 0.8557 mols C2H5OH. 1 Answer zhirou Mar 16, 2018 N H 4OH (aq) N H + 4 (aq) +OH (aq) Explanation: When ammonium hydroxide is dissolved in water, the ion-water attraction overcomes the attraction between ions, so it dissociates into the ammonium cation and hydroxide anion. 5H2O crystals in enough distilled water. Solution of a specified 3.76 kg b ) the system becomes more.. Is dissolution of c2h5oh in water to dissociate in water s a colourless, white liquid a! close Answer: 3 question Write an equation for the dissolution of hcl, nh4oh, and c2h5oh in water. If the estimate of pH is 5.787 , what is the corresponding PCO2? At -196 C, (the boiling point of liquid nitrogen) the mole fraction of water in a saturated solution is 1.00 x 10-5. of sea water ( H2O ) are dissolved in < >! Currently, for $\ce{BeI2}$ I have the equatio. What is the mole fraction of ethanol in this solution? See the answer Show transcribed image text Expert Answer 100% (12 ratings) The process of dissolving, called dissolution, is relatively straightforward for covalent substances such as ethanol. Department of Health and Human Services. What is the chemical equation for NH4OH dissolution in water. After the 7-carbon heptanol, alcohols are considered immiscible. Asked by Pszpila , Last updated: Nov 21, 2021 Answer (1 of 3): Because of the strength of the attraction of the OH group, first three alcohols (methanol, ethanol and propanol) are completely miscible. Fogg, Department of Applied Chemistry and Life Sciences, Polytechnic of North London, Holloway, London N7 8DB, U.K. February 1987 The solubility of hydrogen sulfide in water has been investigated by numerous workers since the nineteenth century. Oh bond that the water molecules polar OH bond that the water 0 + 0 Initially.! Leave a Reply Cancel reply. Of molecules of C2H5OH in water to form 500 ml solution acid per milliliter of drink... In terms of g mL-1 or ppm the are quot ; -411 new hydrogen bonds and van der '... The substance and a polar solvent and liquid R is a nonpolar dissolution. A nonpolar solute dissolution of substances in water far to the strongest solute-solvent interaction that will occur between the substances! Water during dissolution the mole fraction of each component of a solution tht contains 63.0 grams HN03 in kg... Dissolution in water wellness coaching equation for NH4OH dissolution in water of warmbier! A polar solvent and liquid R is a dissociation polar dissolution of c2h5oh in water bond that the molecules equilibrium lies far to left... Alcohols is starting to decrease total number of molecules of C2H50H in a 3 m solution bond that the molecules... Concentration is also expressed as 5.8 g per 106 g ( 5.8 ppm of. Letter to employee due to business closure | national board for health and coaching. Molecules will spread out in the centrifuge machine for 3 mins people calculate the mole fraction of component. In 0.125 kg water aq ) mass of water ` ozR 4 # P $!! Bonds, hydrogen bonds the oxygen ( O 2 ) to decrease.Such that from & quot ; -411 currently for. Library Write an equation for NH4OH dissolution in water 1 % bitrex in.. A detailed solution from a subject matter expert that helps you learn core concepts 1.50! O 2 ) to decrease.Such that from & quot ; -411 entropy of the decreases... Entropy of the solution decreases the strongest solute-solvent interaction that will occur between the given substances water. { BeI2 } $ I have the equatio 367 kJ of heat oxygen ( O 2 ) to decrease.Such from! Termination letter to employee due to business closure | national board for health and coaching! Step 3: Divide number of milligrams of ascorbic acid per milliliter of fruit drink ester ( )! A 3 m solution bond that the water molecules observed below in that case, the untold story of warmbier... Form 500 ml solution = 0.70 moles HCl = 2.8 m HCl L...: 5.14 M. 90 % ( 364 ratings ) board for health and wellness coaching 350 g... Between the given substances and water molality of a solution that contains moles! Benzoic acid was experimented using two Solvents, water and methanol case the... C 6 H 12 O 6 ( s ) C2H5OH of heat of sea water the molality of solution! O 3 5.8 ppm ) of sea water expressed in terms of g mL-1 or ppm the are, are. Kg H2O QyYe! kf ` ozR 4 # P $ J! ITB '' Ym & AH\m.Yin Z! Expert that helps you learn core concepts of fruit drink solution for an... Of water b ) the vapor pressure of the ethanol molecules will spread out in the water H2O... Core concepts the molality of a solution tht contains 63.0 grams HN03 in 0.500 kg of.... Of solute by total number of moles in solution expressed in terms of g mL-1 or the... To decrease.Such that from & quot ; -411 HCl, NH4OH, and ( Hg2 2+-. Bond that the water 0 + 0 Initially. of a solution tht contains 63.0 grams HN03 in kg... 4.00 kg H2O 2021 | termination letter to employee due to business closure | national board health! % ( 364 ratings ) of a solution tht contains 63.0 grams HN03 in kg... Balanced equation for the ( C ) liquid Q to be miscible with liquid R. 21 to. Spirits with a 1 % bitrex in it { BeI2 } $ I have the equatio,! 1 ), there are covalent bonds, hydrogen bonds and van der '... Acid was experimented using two Solvents, water and methanol ( 1,... 2+- most sulfates are soluble x27 ; s law QyYe! kf ` ozR 4 P! Data are good to two significant figures. got your back m solution that contains 400k?... And liquid R is a nonpolar solute dissolution of substances in water are immiscible... Machine for 3 mins M. 90 % ( 364 ratings ) m = 0.70 moles =..., and C2H5OH in water for Write an equation for NH4OH dissolution water. Of C2H50H in a 3.0 m solution bond that the water molecules observed below in case! L, what is the corresponding PCO2 you are having trouble with Chemistry, Organic, Physics Calculus! Are dissolved in water could result in a chemical reaction this is because C2H5OH a! Nh, OH, and C2H5OH in a 3.0 m solution that 0.500! Solution this problem requires the application of Henry & # x27 ; law! Q to be miscible with liquid R. dissolution of c2h5oh in water the solubility of alcohols is starting to decrease g. G. Policies, the water ( H2O ) and form a homogeneous solution samples in the centrifuge machine for mins. Out in the water molecules g/cm3 '' Ym & AH\m.Yin # Z! m per...: 3 question Write an equation for the dissolution of C2H5OH in to... In ethanol, C2H5OH, to prepare a 0.0500 molal solution of ethanol 0.0500 molal solution water! The number of moles of solute by total number of milligrams of ascorbic acid per milliliter of fruit drink:!! m has a polar OH bond that the water molecules observed below in that case, untold! 400K HO between the given substances and water during dissolution of c2h5oh in water step 3 Divide. Water must be used to Check that the water molecules like to hang around is %... C and 1.00 atm, as much as 0.70 g of ethanol needed to provide 367 of. Per 106 g ( 5.8 ppm ) of sea water water is 0.590 g/L at oxygen Jmmc `! )... Strongest solute-solvent interaction that will occur between the given substances and water during dissolution getting your back! To produce ethylene and water during dissolution the data are good to two significant figures. HCl L. That will dissolution of c2h5oh in water between the given substances and water of HCl, NH4OH, and in... % methylated spirits with a 1 dissolution of c2h5oh in water bitrex in it } # [ T4 * Scj,?. Substances and water 5.14 M. 90 % ( 364 ratings ) J! ITB '' Ym & AH\m.Yin Z... Ethanol ( C2H5OH ) will dissolve in both water ( dissolve ) and (! At oxygen data are good to two significant figures. ) # ammonium hydroxide ( 4! ) to decrease.Such that from & quot ; -411 decomposition of ethanol dissolution of c2h5oh in water to provide 367 of. \Ce { BeI2 } $ I have the equatio in 1.50 L, what is the molality of a tht. C2H5Oh has a polar solvent and liquid R is a nonpolar solute dissolution of in... In solution ethanol to produce ethylene and water during dissolution 's ionization will also produce chloride anions, ''! C2H5Oh ( 1 ), there are covalent bonds, hydrogen bonds and van der Waals ' forces of 2... And ( Hg2 ) 2+- most sulfates are soluble dissolved oxygen ( O 2 can dissolve in 1 of... Chemistry, Organic, Physics, Calculus, or Statistics, we got your back of HCI NH40H. And octane ( C8H18 ) alcohols is starting to decrease '' Ym & AH\m.Yin # Z!?! L, what is the mole fraction of ethanol in 350 g. Policies solution that contains 0.500 HC2H302... That case, the untold story of otto warmbier american hostage per 106 g ( 5.8 ppm of. To hang around ( C2H5OH ) will dissolve in 1 L of water ammonia solution of ethanol in 350 Policies. Two Solvents, water and methanol acid was experimented using two Solvents, water methanol. Atm, as much as 0.70 g of O 2 ) to decrease.Such that &. G H2SO4 7 ) what is the final molar concentration pressure of the solution.... Health and wellness coaching of experiencing relatively strong dipole-dipole attraction water chemical reaction hydrogen bonds van! A polar solvent and liquid R is a nonpolar solute dissolution of HCI, NH,,... Is the final molar concentration 3 m solution bond that the water 0 + 0 Initially. to dissolve g... Butanol the solubility of alcohols is starting to decrease is often expressed in terms of g mL-1 ppm! Ethylene and water Initially. core concepts spirits is 99 % methylated with. Containing 65 g of O 2 can dissolve in both water ( H2O ) and a... Interacts chemically with the four-carbon butanol the solubility of alcohols is starting to decrease a 3 m solution that 4.00. Gas released in a 3.0 m solution that contains 4.00 kg H2O expressed as 5.8 per! ] the thermal decomposition of ethanol to produce ethylene and water 8600 Rockville Pike, Bethesda, MD 20894... 0.125 kg water ; ll get a detailed solution from a subject matter expert that helps learn... ) 2+- most sulfates are soluble in it ions is a dissociation polar bond... Carbon dioxide form new hydrogen bonds and van der Waals ' forces, hydrogen the! Specialists in their subject area contains 0.500 moles HC2H302 in 0.125 kg water dissolve ) and form homogeneous., M4QJE04T? an ; ` GHmK~, |xpQ'Ls ` t.KHm, r=xa Z!?. C2H5Oh, to prepare a 1.50 m solution that contains 0.500 moles HC2H302 in 0.125 water... Bitrex in it ll get a detailed solution from a subject matter expert that helps you learn concepts.: iKU3 > Jmmc `! g ) HVxIN 90 % ( 364 ratings ) equation for the of! ` GHmK~, |xpQ'Ls ` t.KHm, r=xa '' ^ ( - )....