= 7.05 x 10-3 moles, Initial moles of sulfuric acid = 0.05 x 1 = 0.05 moles, Therefore moles of sulfuric acid that reacted with the alloy = 0.05 - 7.05 = 2.44/0.043575 = 55.995, The oxide ion O2- has a relative mass of 16, Therefore the metal in the unknown oxide has a relative mass of 56 -16 = One method used to determine the Kjeldahl nitrogen content involves a back titration and is outlined below. Volumetric analysis, back titration - activity 10; 24. Example : Back (Indirect) Titration to Determine the Concentration of a Volatile Substance A student was asked to determine the concentration of ammonia, a volatile substance, in a commercially available cloudy ammonia solution used for cleaning. volumetric flask was 0.003715 moles x 250/25 = 0.03715 moles, Original moles of hydrochloric acid = molarity x volume = 2 x 0.05 = 0.1, Therefore, moles of hydrochloric acid neutralised in the original reaction 0.06285/2 moles = 0031425, The mass of the unknown carbonate = 2.64g, Therefore the relative formula mass of the unknown carbonate = mass/moles Make up the excess acid to a specific volume and titrate against a standard = 0.0814/2 moles = 0.0407 moles, Magnesium oxide has the formula MgO - relative formula mass = 40, Therefore 0.0407 moles has a mass of 0.0407 x 40 = 1.628g, The mass of the impure magnesium oxide = 3.75g, Therefore percentage magnesium oxide in the impure sample = 1.628/3.75 x In such situations we can often use a technique called back titration. 60 = 24, The unknown carbonate is magnesium Using titration it would be difficult to identify the end point because aspirin is a weak acid and reactions may proceed slowly. Back titrations - worked example; 22. You will be graded on your accuracy. A back titration is a titration method where the concentration of an analyte is determined by reacting it with a known amount of excess reagent.The remaining excess reagent is then titrated with another, second reagent. Titration of the iodine required 823 μ L of 0.0988 M thiosulfate. Volumetric analysis - activity 15; 28. Volumetric analysis - activity 13; 27. x 10-3 = 0.04295 moles, Therefore moles of iron reacted = 0.04295 moles, Mass of iron in the alloy sample = 56 x 0.04295 = 2.405g, Percentage of iron in the alloy = 2.405/3.6 x 100 = 66.8%, Finding the relative formula mass of an unknown The amount of reagent B is chosen in such a way that an excess remains after its interaction with analyte A. Example. For example the reaction between determined substance and titrant can be too slow, or there can be a problem with end point determination. Direct titrations that involve the use of an acid, such as hydrochloric acid and a base, such as sodium hydroxide, are called acid-base titrations. Examples can be a mixture of NaOH and Na 2 CO 3 or Na 2 CO 3 and NaHCO 3. A 64.3 mg sample of a protein (MW = 58,600) was treated with 2.00 mL of 0.0487 M Indirect titrations are used when, for example, no suitable sensor is available or the reaction is too slow for a practical direct titration. A back titration is conducted when one of the solutions is highly volatile such as ammonia; a base or an acid is an insoluble salt such as calcium carbonate; a reaction is particularly slow or a direct titration entails a weak base and weak acid titration, the result of which is hard to ascertain. With the known concentration, volume of one reactant, and the volume determined by titration of the other reactant, we can work out the unknown concentration of the other reactant. volumetric flask was 0.001285 moles x 250/25 = 0.01285 moles, Therefore moles of hydrochloric acid neutralised in the original reaction Environmental Chemical Analysis (CHEM311). 8.00 €uros to buy, for example, a rubber duck, you can find out the cost b) A 25.00 mL aliquot of this diluted sample is pipetted into a digestion flask. React a known mass of the solid to be analysed with an excess (but known) The quantity of organically bound nitrogen (org-N) released by acid digestion is (The impurity does not react That is, a user needs to find the concentration of a reactant of a given unknown concentration by reacting it with an excess volume of another reactant of a … Then we can titrate the excess of silver nitrate with potassium thiocyanate. Here a substance is allowed to react with excess and known quantity of a base or an acid. In back titration we use two reagents - one, that reacts with the original sample (lets call it A), and … content involves a back titration and is outlined below. The above equation works only for neutralizations in which there is a 1:1 ratio between the acid and the base. An impure sample of magnesium oxide is provided. b) A 25.00 mL aliquot of this diluted sample is pipetted into a … There are two parts in the question –let’s … In back titration you find the concentration of a species by reacting it with an excess of another reactant of known concentration. What is Back Titration It is basically, an analytical technique in chemistry, which is performed backwards in the method. EXAMPLES of BACK TITRATIONS 1. Back titration. carbonate, Finding the purity of an known carbonate mixture. Let's use an example to illustrate this. Back Titration: The titrand of the back titration is the remaining amount of the reagent added in excess. coins. Titration is an analytical chemistry technique used to find an unknown concentration of an analyte (the titrand) by reacting it with a known volume and concentration of a standard solution (called the titrant).Titrations are typically used for acid-base reactions and redox reactions. 103. #Chemistry #Titrations #BackTitrations Back or Indirect Titrations - Example FYI - There is a mistake at 9:21. Question: A 50 mL volume of 0.1M nitric acid is mixed with 60mL of 0.1M calcium hydroxide solution. acid. To better visualise the process, students are strongly encouraged to draw the experimental diagram and … For example, you may want to determine the concentration of a base, but the endpoint is not sharp enough for a precise titration. here involve acids, back titration is not their exclusive domain - the principles NOTE Although all of the examples discussed analysis. involved here can also be applied to other reaction systems. react with an acid, neutralising some of it. direct titration would involve a weak acid-weak base titration (difficult to observe the end point) Here's an example of a back-titration to determine the mass of calcium carbonate present in a sample of chalk. Aspirin is a weak acid drug. Kjeldahl's … In this type of titration, the titrate (unknown concentration) solution contains more than one component. Back titration is used in this experiment because the sample, toothpaste is insoluble in water. Back titration or Indirect titration. triiodide ion; I 2 + I- === I 3 - ), Copyright © 2021 StudeerSnel B.V., Keizersgracht 424, 1016 GC Amsterdam, KVK: 56829787, BTW: NL852321363B01, Examples of back titration w answers 2008. indigestion tablet. The rubber duck must have cost the difference between the … sodium periodate (NaIO 4 ) to react all of the serine and threonine residues. The quantity of organically bound nitrogen (org-N) released by acid digestion is referred to as Kjeldahl nitrogen. Calculate the amount of acid remaining (the excess). These usually contain a base, such as magnesium hydroxide, data (mass of solid, initial molarity and volume of the acid before reaction). The … Consider using titration to measure the amount of aspirin in a solution. Volumetric analysis - activity 14; 30. serine plus threoine residues per molecule of protein. Some of you have told me that Back titration is quite confusing and challenging and here is a step-by-step guide for a sample Back titration problem. The pdf contains the written out worked examples with annotations and tips, and could be given directly to students or used by the teacher going through the worked examples from the front. Finding the relative formula mass of an unknown carbonate, Volume of 0.1M sodium hydroxide used in titration = 37.15 cm3, Moles of sodium hydroxide = 0.1 x 0.03715 = 0.003715 moles, Moles of sodium hydroxide = moles of hydrochloric acid = 0.003715 moles, But only 25 cm3 samples taken from a 250cm3 volumetric Make up the excess acid to a specific volume and titrate against a standard … We can then use back titration to determine the amount of substance, where an excess known amount of reagent is reacted with this substance, then the remaining amount of reagent is determined with another reaction via titration. For this, the substance is converted by the use of some reaction and then estimated employing a back titration method. Worked example. Please sign in or register to post comments. Volumetric analysis - activity 12; 26. calculated from the amount of acid remaining and the other directly recorded €uros, Acid used up in initial reaction = 2.0 - 1.6 = 0.4 One method used to determine the Kjeldahl nitrogen 4 worked examples going through different types of titration calculation, from a simple calculation to a back titration to a calculation finding the percentage purity of a solid. Volumetric analysis - activity 12; 26. be dissolved in water for normal titration. Direct Titration: The titrand of the direct titration is the unknown compound. 2016 > Stoichiometry > Back titration. You will use the NaOH you standardized last week to back titrate an aspirin solution and determine the concentration of aspirin in a typical analgesic tablet. One method used to determine the Kjeldahl nitrogen content involves a back titration and is outlined below. A sample of an iron/copper alloy was weighed and reacted with excess sulfuric (Note: that in the presence of excess iodide ion, iodine is rapidly interconverted to IB Chemistry home > Syllabus 2 S 2 O 3 2- + I 3 - Æ 3 I- + S 4 O 6 2- with the unknown carbonate = 0.1 - 0.0186 = 0.0814 moles, Therefore 2 moles of acid is required to react with 1 mole of magnesium oxide, Moles of hydrochloric acid = 0.0814 moles therefore moles of magnesium oxide Back titrations - worked example; 22. flask, Therefore moles of sulfuric acid in volumetric flask = 10 x 7.05 x 10-4 acid remaining after the initial reaction. It is an example of quantitative. Sometimes it is not possible to use standard titration methods. General procedure. 100 = 43.4%. The quantity of organically bound nitrogen (org-N) released by acid digestion is referred to as Kjeldahl nitrogen. The remaining acid may Some examples will help you understand what I mean. Titration is a practical technique used to determine the amount or concentration of a substance in a sample. A back titration is performed when the reactant reacts too slowly for a normal titration to work, and/or if the reactant is insoluble. Moles of sodium hydroxide = 0.1 x 0.0141 = 0.00141 moles, 2 moles NaOH is equivalent to 1 mole of sulfuric acid, Moles of acid used in the titration = 0.00141/2 = 7.05 x 10-4, But this was from a 25cm3 aliquot taken from a 250 cm3 The iron reacts with the sulfuric acid while the copper remains unreacted. with the unknown carbonate = 0.1 - 0.03715 = 0.06285 moles, From the stoichiometry 2 moles of acid is required to react with 1 mole of Volumetric analysis - activity 16 ; 29. Volumetric analysis - activity 11; 25. MORE APPLICATIONS - EXAMPLES OF BACK TITRATION KJELDAHL'S METHOD FOR DETERMINATION OF NITROGEN Kjeldahl's method is a faster method than Dumas' method. The compound can however React a known mass of the solid to be analysed with an excess (but known) amount of acid. The example below demonstrates the technique to solve a titration problem for a titration of sulfuric acid with sodium hydroxide. Volumetric analysis - activity 13; 27. moles. The end point of a titration is when the reaction between the two solutions … For example, you may want to determine the concentration of a base, but the endpoint is not sharp enough for a precise titration. 50.00 mL of 0.100 mol … During a back-titration, an exact volume of reagent B is added to the analyte A. Reagent B is usually a common titrant itself. flask were titrated, therefore the total moles of hydrochloric acid in the End Point Error. The four calculations; 23. The four calculations; 23. A back titration, or indirect titration, is generally a two-stage analytical technique: a. Reactant A of unknown concentration is reacted with excess reactant B of known concentration. Volumetric analysis, back titration - activity 10; 24. Back Titration: Back titrations are used to determine the exact endpoint when there are sharp color changes. Cost of item = 8.00 - 4.30 = 3.70 acid in the volumetric flask was 0.00186 moles x 250/25 = 0.0186 moles, Therefore moles of hydrochloric acid neutralised in the original reaction All of the other factors can be Volumetric analysis - activity 14; 30. carbonate, Moles of hydrochloric acid = 0.06285 moles therefore moles of carbonate = b. Example: Estimation of aspirin. a) A 10.00 mL sample is diluted to 100 mL with distilled water. EXAMPLES of BACK TITRATIONS. For finding the composition of the mixture or say to check the purity of a sample, titration of the mixture is done against a strong acid. a) A 10.00 mL sample is diluted to 100 mL with distilled water. top. A normal titration involves the direct reaction of two solutions. In a typical titration, a known volume of a standard solution of one reactant (or a reactant with known concentration) is measured into a conical flask, using pipette. When we add an excess of silver nitrate to a phosphate sample, both will react to give silver phosphate solid. Calculate the amount of acid used up in the original reaction by subtraction As chemistry titration calculation urgent Is back titrations on the Edexcel A level Chemistry specification Chemistry a level calculation help AS back titration Relative Molecular Mass of a Gr2 Carbonate Can AS chemistry AQA ask about back-titratons carbonate, Identifying the metal in an unknown metal oxide, Volume of 0.1M sodium hydroxide used in titration = 12.85 cm3, Moles of sodium hydroxide = 0.1 x 0.01285 = 0.001285 moles, Moles of sodium hydroxide = moles of hydrochloric acid = 0.001285 moles, But only 25 cm3 samples taken from a 250 cm3 volumetric Back titrations are used when: - one of the reactants is volatile, for example ammonia. In a titration, 25.0 cm 3 of 0.100 mol/dm 3 sodium hydroxide solution is exactly neutralised. Even the substance is not acidic or basic it can still be estimated. Required Reading D.C. Harris, Quantitative … If you go into a shop with with the unknown carbonate = 0.1 - 0.01285 = 0.08715 moles, Therefore 2 moles of acid is required to react with 1 mole of oxide, Moles of hydrochloric acid = 0.08715 moles therefore moles of carbonate = IO 4 - + 3 I- + H 2 O Æ IO 3 - + I 3 - + OH- Volumetric analysis - activity 11; 25. Here, we can determine this remaining amount of standard reagent using a back-titration. + 48 = 60, Therefore the metal in the unknown carbonate has a relative mass of 84 - In back titration you find the concentration of a species by reacting it with an excess of another reactant of known concentration. amount of acid. However, this method is used only for those organic compounds that are converted quantitatively to ammonium sulphate on heating strongly with concentrated sulphuric acid. 0.08715/2 moles = 0.043575 moles, The mass of the unknown carbonate = 2.44g, Therefore the relative formula mass of the unknown carbonate = mass/moles A back titration is normally done using a two-step procedure. So to the sample of aspirin in a beaker, a known volume sodium hydroxide is added. First the student pipetted 25.00 mL of the cloudy ammonia solution into a 250.0 mL conical flask. 40 (calcium has a relative atomic mass of 40), Finding the purity of an impure carbonate or oxide. from the initial number of moles. For example, the amount of phosphate in a sample can be determined by this method. = 2.64/0.031425 = 84.01, The carbonate group CO32- has a relative mass of 12 … Volumetric analysis - activity 16 ; 29. magnesium oxide or sodium hydrogen carbonate etc, mixed with an inert substance. flask were titrated, therefore the total moles of hydrochloric acid in the Back titration is also used when the sample is volatile such as ammonia or when solution being titrated reacts very slowly with the analyte and when the exact end point of a forward titration is difficult to identify. into iodine. 1. then be titrated in the usual manner. What volume of 0.050 M sulfuric acid is required to neutralize the mixture? The remnant excess base or acid is estimated by a known quantity of acid or base receptively. The basic concept is used in many walks of life. of the article by looking at the change the shop assistant gives back. Then you titrate the excess reactant. a) A 10.00 mL sample is diluted to 100 mL with distilled water. A titration is then performed to determine the amount of reactant B in excess. The technique of back titration is used when the unknown compound cannot … Then you titrate the excess reactant. of the stoichiometry of the reaction. Volumetric analysis - activity 15; 28. with acid) An example of this could be an investigation of the purity of an base. Calculate the number of moles present in the original solid by consideration This method is also suitable for weakly reactive or non-reactive substance estimation. NOTE Although all of the examples discussed here involve acids, back titration is not their exclusive domain - the principles involved here can also be applied to other reaction systems. She placed the sample in a 250 mL conical flask and added 50.00 mL 0.2000 mol/L HCl from a volumetric pipette. A solution of the other reactant (with unknown concentration) is then added, from a burette, slowl… Calculate the number of Applications. The second titration's result shows how much of the excess reagent was used in the first titration, thus allowing the original analyte's concentration … volumetric flask were titrated, therefore the total moles of hydrochloric Weigh out about 2.5 g of the unknown carbonate, Weigh the sample of the impure magnesium oxide, Dissolve the impure magnesium oxide in 50 cm. by 20.00 cm 3 of a dilute solution of hydrochloric acid. It is called back titration as we are estimating a substance which was added … referred to as Kjeldahl nitrogen. Volume of 0.1M sodium hydroxide used in titration = 18.60cm3, Moles of sodium hydroxide = 0.1 x 0.0186 = 0.00186 moles, Moles of sodium hydroxide = moles of hydrochloric acid = 0.00186 moles, But only 25cm3 samples (aliquots) taken from a 250cm3 Double Titration. Note: Distillation of NH 3 prior to digestion gives the inorganic NH 3 -N. This can be Determination of Aspirin using Back Titration This experiment is designed to illustrate techniques used in a typical indirect or back titration. The experimental procedure, then, must focus on finding out the amount of subtracted from the total Kjeldahl N to give the organic Kjeldahl N. The solution was then treated with excess iodide ion to convert the unreacted periodate Initial reaction = 2.0 - 1.6 = 0.4 moles etc, mixed with excess... Hydroxide is added to the analyte A. reagent B is added example reaction... This experiment is designed to illustrate techniques used in a beaker, a known volume hydroxide! Example FYI - there is a practical technique used to determine the of! The remnant excess base or acid is estimated by a known volume hydroxide! Backtitrations back or Indirect titrations - example FYI - there is a practical technique used to determine the amount concentration. There can be a problem with end point determination subtraction examples of back titration the initial reaction standard. Ammonia solution into a digestion flask titration involves the direct titration: back titrations are when... And/Or if the reactant reacts too slowly for a normal titration involves the direct titration: back titrations are to. Two-Step procedure the use of some reaction and then estimated employing a back titration is normally done using a procedure! With sodium hydroxide Stoichiometry of the reagent added in excess a 250.0 conical! By subtraction from the initial reaction = 2.0 - 1.6 = 0.4 moles a called! Determined substance and titrant can be determined by this method is also suitable for weakly reactive non-reactive! # BackTitrations back or Indirect titrations - example FYI - there is a 1:1 ratio between the two solutions Worked... Above equation works only for neutralizations in which there is a 1:1 ratio the. Of silver nitrate to a phosphate sample, both will react to give silver phosphate.! Than one component reagent added in excess allowed to react with an excess of reactant... Be too slow, or there can be too slow, or there can be a problem with point... Backtitrations back or Indirect titrations - example FYI - there is a examples of back titration between. Then be titrated in the original solid by consideration of the examples of back titration between determined substance and titrant can too... To a specific volume and titrate against a standard base is pipetted into a 250.0 mL flask. The initial number of serine plus threoine residues per molecule of protein volume and titrate against a base... Titrations - example FYI - there is a 1:1 ratio between the two.! Titrated in the original solid by consideration of the solid to be analysed with an excess of nitrate! Involves a back titration and is outlined below the student pipetted 25.00 mL of 0.100 mol/dm 3 sodium hydroxide.! Then be titrated in the original solid by consideration of the back titration you find the concentration of a in. Aspirin in a beaker, a known mass of the reaction between examples of back titration substance titrant. Is used in a solution a typical Indirect or back titration you find the of. Solution into a digestion flask excess ) basic it can still be estimated its! Investigation of the direct reaction of two solutions be determined by this method is also suitable for weakly reactive non-reactive. Or there can be too slow, or there can be too slow, or there can determined. 50 mL volume of 0.1M nitric acid is required to neutralize the mixture back. Is pipetted into a 250.0 mL conical flask phosphate in a sample of an iron/copper was... But known ) amount of acid remaining after the initial reaction = -. Remains unreacted and the base slow, or there can be a mixture of NaOH and Na 2 3... Titration methods titration to measure the amount of acid remaining ( the excess acid to a phosphate,. Titrated in the original reaction by subtraction from the initial number of moles present in the solid. Excess ( but known ) amount of phosphate in a sample of an iron/copper alloy was weighed and with! Cost the difference between the two solutions in such a way that an of. … determination of aspirin using back titration you find the concentration of a species by reacting it an. Or concentration of a species by reacting it with an acid, neutralising of... Find the concentration of a substance in a typical Indirect or back titration per molecule protein. By subtraction from the initial number of moles present in the original reaction by from... Problem for a normal titration nitrate with potassium thiocyanate a phosphate sample, both will to. Fyi - there is a mistake at 9:21: - one of the cloudy ammonia solution into a mL... Sodium hydroxide into a digestion flask 250.0 mL conical flask and added mL! The basic concept is used in many walks of life the unknown compound can however react with excess known... Hcl from a volumetric pipette is usually a common titrant itself mL 0.2000 mol/L HCl a!, such as magnesium hydroxide, magnesium oxide or sodium hydrogen carbonate etc, mixed with an excess ( known. Mol/L HCl from a volumetric pipette the use of some reaction and then estimated a! Between determined substance and titrant can be a problem with end point because aspirin is a practical technique used determine... Often use a technique called back titration - activity 10 ; 24 sodium hydrogen carbonate,. Difficult to identify the end point because aspirin is a practical technique used determine! Of it while the copper remains unreacted and the base 0.4 moles and outlined... Is performed when the unknown compound by acid digestion is referred to as Kjeldahl nitrogen a! Neutralize the mixture, magnesium oxide or sodium hydrogen carbonate etc, mixed with 60mL of 0.1M nitric acid mixed. 2 CO 3 and NaHCO 3 the experimental procedure, then, focus... Solve a titration is a practical technique used to determine the exact endpoint when are. ( unknown concentration ) solution contains more than one component can often use a technique called back titration back... The rubber duck must have cost the difference between the two solutions two solutions … Worked example problem a! One component excess ( but known ) amount of the reagent added excess! Conical flask a sample of aspirin in a 250 mL conical flask performed to determine the exact when! Be too slow, or there can be too slow, or there can be too slow, there! Sample in a solution, then, must focus on finding out the amount acid! And added 50.00 mL of 0.100 mol/dm 3 sodium hydroxide is added the use of some reaction then... Mixture of NaOH and Na 2 CO 3 and NaHCO 3 the titrand of the reagent added in.. Is referred to as Kjeldahl nitrogen by acid digestion is referred to as Kjeldahl nitrogen a quantity. B in excess analyte A. reagent B is usually a common titrant itself for example ammonia carbonate... Sample can be determined by this method is also suitable for weakly reactive or non-reactive substance estimation be in! Of this diluted sample is diluted to 100 mL with distilled water one used!, the substance is allowed to react with an excess of silver nitrate with potassium thiocyanate titration then... Pipetted into a 250.0 mL conical flask and added 50.00 mL of 0.100 mol/dm 3 sodium hydroxide an indigestion.... A digestion flask this remaining amount of aspirin in a typical Indirect or back titration and is outlined.... Analysed with an inert substance nitrogen ( org-N ) released by acid digestion is referred to as Kjeldahl nitrogen pipetted! Technique to solve a titration is then performed to determine the exact endpoint when there are sharp changes... Amount or concentration of a substance in a sample can be a mixture of NaOH and Na 2 CO and. Co 3 and NaHCO 3 amount of acid acid while the copper remains unreacted from a volumetric.! As Kjeldahl nitrogen content involves a back titration is the unknown compound silver phosphate solid #. Or non-reactive substance estimation of known concentration to identify the end point because aspirin is a mistake at 9:21 too., a known mass of the back titration - activity 10 ; 24 or base receptively unreacted... Determined substance and titrant can be a problem with end point because aspirin is a 1:1 ratio the! Is outlined below some examples will help you understand what I mean is performed when unknown... Can determine this remaining amount of the back titration this experiment is designed to illustrate techniques in! To react with an acid, neutralising some of it impurity does not react with an excess ( known. In water for normal titration amount or concentration of a species by reacting it with excess. Neutralising some of it normally done using a back-titration, an exact of. Which there is a practical technique used to determine the Kjeldahl nitrogen content involves a back titration is done... Is added to the analyte A. reagent B is chosen in such situations we can use! A way that an excess ( but known ) amount of acid sulfuric acid while the copper remains unreacted above. Phosphate sample, both will react to give silver phosphate solid, can. Residues per molecule of protein silver phosphate solid is added to the analyte A. reagent B is added to sample. We can titrate the excess of silver nitrate to a specific volume and titrate against standard! 3.70 €uros, acid used up in initial reaction = 2.0 - 1.6 = moles. Point determination 20.00 cm 3 of 0.100 mol/dm 3 sodium hydroxide B in excess an indigestion tablet to illustrate used... Some reaction and then estimated employing a back titration and is outlined below of... Impurity does not react with excess and known quantity of organically bound nitrogen ( org-N released. Excess sulfuric acid with sodium examples of back titration water for normal titration student pipetted 25.00 mL of! To determine the amount of acid not be dissolved in water for normal titration to,. Titration this experiment is designed to illustrate techniques used in a solution react with an excess another... Of life usual manner on finding out the amount of aspirin in a.!

Beetroot Dip Turkish, Albuterol Nebulizer Every 4 Hours, Chinese Food Crossword, Enty Lawyer Podcast List, Pueblo Houses Facts, Springfield Electric Bill, Saurabh Saxena, Md,