Dimensional analysis allows us to convert units between different scales. Determine math problem . Solution: Dimension X = 10inches. Dimensional analysis is based on this premise: the units of quantities must be subjected to the same mathematical operations as their associated numbers. The numbers of these two quantities are multiplied to yield the number of the product quantity, 86, whereas the units are multiplied to yield, \[\mathrm{\dfrac{in.\times cm}{in.}}. \[\mathrm{4.00\:\cancel{qt}\times\dfrac{1\: L}{1.0567\:\cancel{qt}}=3.78\: L}\nonumber \], \[\mathrm{3.78\:\cancel{L}\times\dfrac{1000\: mL}{1\:\cancel{L}}=3.78\times10^3\:mL}\nonumber \], \[\mathrm{density=\dfrac{4.20\times10^3\:g}{3.78\times10^3\:mL}=1.11\: g/mL}\nonumber \]. Textbook content produced by OpenStax College is licensed under a Creative Commons Attribution License 4.0 license. For example, consider measuring the average speed of an athlete running sprints. If starting with grams, we use 1 mL/19.3g to . Defining the Celsius and Fahrenheit temperature scales as described in the previous paragraph results in a slightly more complex relationship between temperature values on these two scales than for different units of measure for other properties. Round your answer to 2 decimal places. For example, here's how to convert 5 liters to grams for an ingredient with a density of 0.7 g/mL. 2. To convert from kg/m 3 into units in the left column divide by the value in the right column or, multiply by the reciprocal, 1/x. and the unit product thus simplifies to cm. View Answer. 1 liters to grams = 1000 grams. How many grams in 1 liter? The correct unit conversion factor is the ratio that cancels the units of grams and leaves ounces. How many seconds are in 2.68 yrs? 1 liter per 100 centiliters. Required fields are marked *. }}=86\: cm} \nonumber \], Since this simple arithmetic involves quantities, the premise of dimensional analysis requires that we multiply both numbers and units. This is typically accomplished by measuring the time required for the athlete to run from the starting line to the finish line, and the distance between these two lines, and then computing speed from the equation that relates these three properties: \[\mathrm{speed=\dfrac{distance}{time}} \nonumber \], An Olympic-quality sprinter can run 100 m in approximately 10 s, corresponding to an average speed of, \[\mathrm{\dfrac{100\: m}{10\: s}=10\: m/s} \nonumber \]. Those are going to cancel out, and 5 times 10, of course, is, 5 times 10, of course, is 50. Beyond simple unit conversions, the factor-label method can be used to solve more complex problems involving computations. When we treated the units The mass of a competition Frisbee is 125 g. Convert its mass to ounces using the unit conversion factor derived from the relationship 1 oz = 28.349 g (Table \(\PageIndex{1}\)). This doesn't feel like our 5 liters to grams 5000 grams. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. 50 grams to liter = 0.05 liter. We write the unit conversion factor in its two forms: \[\mathrm{\dfrac{1\: oz}{28.349\: g}\:and\:\dfrac{28.349\: g}{1\: oz}} \nonumber\]. Using unit conversion / dimensional analysis to calculate the volume of the solution in mL. The process of manipulating our units is called dimensional analysis. Convert 100 mm into inches. Creative Commons Attribution/Non-Commercial/Share-Alike. The early 19th-century discovery of the relationship between a gas's volume and temperature suggested that the volume of a gas would be zero at 273.15 C. Very few countries (the U.S. and its territories, the Bahamas, Belize, Cayman Islands, and Palau) still use Fahrenheit for weather, medicine, and cooking. Set up the conversion to cancel out the desired unit. Final Result: Boyle's Law- Convert the volumes from the Boyle's Law experiment into Litres and record 1/V. Density Calculator. So, both 3s go away, and you're left with 2 divided by 1, or simply 2. Dimensional analysis is used in converting different units of measure through the multiplication of a given proportion or conversion factor. 1.6 Unit Conversion Word Problems. 2 liters to grams = 2000 grams. Recall that we do not use the degree sign with temperatures on the kelvin scale. Dimensional analysis provides us with the tools needed to convert between different units of measure. with those seconds, and we are left with, we are left with 5 times 3,600. Liters can be abbreviated as l, and are also sometimes abbreviated as L or . The multiplication gives a value of one thousand and units of grams of water per liter of water, so we Type in your own numbers in the form to convert the units! Spring 2015 REEL Chemistry Student Presentations, REEL Chemisry Student Presentations Spring 2014, 2016 Annual Chemistry Teaching Symposium and Education Exhibition, Worksheet: Conversion Factors and Roadmaps, Conversion Factors Part 3: Multi-Step 2 videos, Back to Study Guide List for General Chemistry I, 8. The necessary conversion factors are given in Table 1.7.1: 1 lb = 453.59 g; 1 L = 1.0567 qt; 1 L = 1,000 mL. Derived units are based on those seven base units. If you go 5 meters per second for 1 hour, you will go 18,000 meters. That's 5 times 3,000 would be 15,000, 5 times 600 is another 3,000, so that is equal to 18,000. Normal body temperature has been commonly accepted as 37.0 C (although it varies depending on time of day and method of measurement, as well as among individuals). We will provide six simple tricks that make converting gallons, quarts and fluid ounces easier than ever beforeso no more guessing or using outdated estimations. chemical quantities, it is important to remember that each quantity is associated with both a unit and a chemical gold's density is 19.3 grams per mL. seconds, they give it in hours, so they say the time is equal to 1 hour. $$5.70 L*\frac{1000 mL}{1 L}*\frac{1 cm^{3}}{1 mL}=5700cm^{3}$$. viewed as rate times time. 1 Answer. Cancel the s's and you get "m". Convert 0.00009 cm/sec to micrometers/min. Conversion Factors Part 2: Single Step a) If the density of the fuel is 0.768 g/cm3, what is the mass of the fuel in kilograms? step by step how to set up dimensional analysis calculations, explained from a single to multi-step calculations for unit conversion problems.easy 101 crash course tutorials for step by step Chemistry help on your chemistry homework, problems, and experiments.- Solution Stoichiometry Tutorial: How to use Molarity- Stoichiometry - Quantum Numbers - Rutherford's Gold Foil Experiment, Explained- Covalent Bonding Tutorial: Covalent vs. Ionic bonds- Metallic Bonding and Metallic Properties Explained: Electron Sea Model - Effective Nuclear Charge, Shielding, and Periodic Properties- Electron Configuration Tutorial + How to Derive Configurations from Periodic Table- Orbitals, the Basics: Atomic Orbital Tutorial probability, shapes, energy- Metric Prefix Conversions Tutorial- Gas Law Practice Problems: Boyle's Law, Charles Law, Gay Lussac's, Combined Gas LawMore on Dimensional Analysis | Wiki \"In engineering and science, dimensional analysis is the analysis of the relationships between different physical quantities by identifying their fundamental dimensions (such as length, mass, time, and electric charge) and units of measure (such as miles vs. kilometers, or pounds vs. kilograms vs. grams) and tracking these dimensions as calculations or comparisons are performed. Following the same approach, the equations for converting between the kelvin and Celsius temperature scales are derived to be: \[T_{\ce K}=T_{\mathrm{^\circ C}}+273.15 \nonumber \], \[T_\mathrm{^\circ C}=T_{\ce K}-273.15 \nonumber \]. (1 lbs. To yield the sought property, time, the equation must be rearranged appropriately: \[\mathrm{time=\dfrac{distance}{speed}}\], \[\mathrm{\dfrac{25\: m}{10\: m/s}=2.5\: s}\], Again, arithmetic on the numbers (25/10 = 2.5) was accompanied by the same arithmetic on the units (m/m/s = s) to yield the number and unit of the result, 2.5 s. Note that, just as for numbers, when a unit is divided by an identical unit (in this case, m/m), the result is 1or, as commonly phrased, the units cancel.. Direct link to elise's post In the practice, many of , Posted 4 years ago. { "E.1_Measurements__Units" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "E.2:_Reliability_of_a_Measurement__Significant_Figures" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "E.3:_Unit_Conversion__Dimensional_Analysis" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()" }, { "00:_Front_Matter" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "Chapter_1._Atoms" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "Chapter_10._Gases" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "Chapter_11._Solids_Liquids_and_Intermolecular_Forces" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "Chapter_2._The_Quantum_Mechanical_Model_of_the_Atom" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "Chapter_3._Electron_Configurations_and_Periodic_Table" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "Chapter_4._Compounds" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "Chapter_5._Chemical_bonding_I" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "Chapter_6._Chemical_Bonding_II" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "Chapter_7._Chemical_Reactions_and_Chemical_Quantities" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "Chapter_8._Introduction_to_Solutions_and_Aqueous_Reactions" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "Chapter_9._Thermochemistry" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "Chapter_E._Essentials" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", Chapter_E_Essentials : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "zz:_Back_Matter" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()" }, E.4: Unit Conversion & Dimensional Analysis, [ "article:topic", "Author tag:OpenStax", "authorname:openstax", "showtoc:no", "license:ccby" ], https://chem.libretexts.org/@app/auth/3/login?returnto=https%3A%2F%2Fchem.libretexts.org%2FCourses%2FRutgers_University%2FGeneral_Chemistry%2FChapter_E._Essentials%2FE.3%253A_Unit_Conversion__Dimensional_Analysis, \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}}}\) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\), Computing Quantities from Measurement Results, Example \(\PageIndex{4}\): Conversion from Celsius, E.2: Reliability of a Measurement & Significant Figures, Conversion Factors and Dimensional Analysis, Example \(\PageIndex{1}\): Using a Unit Conversion Factor, Example \(\PageIndex{2}\): Computing Quantities from Measurement Results, Example \(\PageIndex{3}\): Computing Quantities from Measurement Results, Example \(\PageIndex{5}\): Conversion from Fahrenheit, status page at https://status.libretexts.org. In the first step, we have to cancel out "an ounce of Mg", so we plug in the known value for the number of grams in an ounce (28.35). Knowing that the conversion factor to get to molecules involves the number of mols, the first conversion you need to do from grams is to mol. Online Resources for Teaching and Learning Chemistry, See home page (click here) for information on coronovirus (Covid-19), Dimensional Analysis/Stoichiometric Conversions, Dimensional analysis allows us to change the units used to express a value. If we have the conversion factor, we can determine the mass in kilograms using an equation similar the one used for converting length from inches to centimeters. Convert 16,450 milligrams to grams and pounds. Convert 1.500 days into minutes and seconds. E. Answer the following questions using dimensional analysis. In this section, you will look at common unit conversions used in science. Although there is a way to develop a conversion factor which will give us a one-step calculation, for the sake of this example, lets proceed with a two-step method. If an expression is multiplied by 1, its value does not change. They're saying same the exact same thing. A ratio of two equivalent quantities expressed with different measurement units can be used as a unit conversion factor. Because the numerator and denominator are equal, the fractions are equal to 1. Sal shows how we can treat units of measurement algebraically, and use these tools in order to convert between different units of the same quantity. With that background, let's continue with our dimensional analysis problem. Because the volume of the liquid changes more than the volume of the glass, we can see the liquid expand when it gets warmer and contract when it gets cooler. Alternatively, the calculation could be set up in a way that uses three unit conversion factors sequentially as follows: \[\mathrm{\dfrac{9.26\:\cancel{lb}}{4.00\:\cancel{qt}}\times\dfrac{453.59\: g}{1\:\cancel{lb}}\times\dfrac{1.0567\:\cancel{qt}}{1\:\cancel{L}}\times\dfrac{1\:\cancel{L}}{1000\: mL}=1.11\: g/mL}\nonumber \]. While it is true that 12 inches equals 1 foot, you have to remember that 12 in 3 DOES NOT equal 1 . . Here is a video of some easy conversion problems using these conversion factors solved using dimensional analysis: enter link description here. Dimensional Analysis is a powerful way to solve problems. Dimensional Analysis Practice Problems. The correct unit conversion factor is the ratio that cancels the units of grams and leaves ounces. For this 1 gram = 1000 mg. 1 pound = 453.59 grams. Joe is the creator of Inch Calculator and has over 20 years of experience in engineering and construction. Now that you have volume in L and density in kg/L, you simply multiply these together to get the mass of the substance of interest. Just print, laminate, cut, hole punch, and add to a ring. writing down our initial quantity of 0.43 mol water. Explain the dimensional analysis (factor label) approach to mathematical calculations involving quantities. Measurements are made using a variety of units. 4. Alternatively, the calculation could be set up in a way that uses all the conversion factors sequentially, as follows: \[\mathrm{\dfrac{1250\:\cancel{km}}{213\:\cancel{L}}\times\dfrac{0.62137\: mi}{1\:\cancel{km}}\times\dfrac{1\:\cancel{L}}{1.0567\:\cancel{qt}}\times\dfrac{4\:\cancel{qt}}{1\: gal}=13.8\: mpg}\nonumber \]. Derived units are based on those seven base units. Grams, g Milligram, mg Micrograms, ug: 1 kg = 1000 g= 10 3 g 1 . algebraic constructs, kind of like variables, so this would be equal to, well, multiplication, it doesn't matter what order we multiply in, so we can change the order. It is often useful or necessary to convert a measured quantity from one unit into another. How many milliliters of ethyl alcohol will he measure? This is good practice for the many problems you will encounter in this and future chemistry and science courses. Like if I have a force acting on an object of 15 N and a the mass of the object as 58 kg, would I be able to figure out the acceleration using dimensional analysis? 1 lb = 0.45 kg Now, we need to cancel out "grams of Mg". Say we are given the density of water as one gram of water per \nonumber \]. We write the unit conversion factor in its two forms: 1oz 28.349g and 28.349g 1oz. )\: or\: 2.54\:\dfrac{cm}{in.}}\]. View Answer. What (average) fuel economy, in miles per gallon, did the Prius get during this trip? &=\mathrm{4.41\: oz\: (three\: significant\: figures)} 10 grams to liter = 0.01 liter. Describe how to use dimensional analysis to carry out unit conversions for a given property and computations involving two or more properties. If you go 5 meters per second for 1 hour, you will go 18,000 meters. Instead of giving it in These conversions are accomplished using unit conversion factors, which are derived by simple applications of a mathematical approach called the factor-label method or dimensional analysis. It is great because is shows the relationship between the units. Convert between the three main temperature units: Fahrenheit, Celsius, and Kelvin. the answer in meters but we wanted the answer in kilometers? In this calculation, the given units are quarts since we have 24 quarts and b) desired units, the units for which we are solving. Example \(\PageIndex{3}\): Computing Quantities from Measurement Results. Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. By knowing how many dimes are in a dollar, we know that twenty dimes equals two dollars. 200 grams to liter = 0.2 liter. For example, a basketball players vertical jump of 34 inches can be converted to centimeters by: \[\mathrm{34\: \cancel{in.} 1. - A liter is a cube 1 decimeter (dm) long on each side. and then convert volume from liters to gallons: \[\mathrm{213\:\cancel{L}\times\dfrac{1.0567\:\cancel{qt}}{1\:\cancel{L}}\times\dfrac{1\: gal}{4\:\cancel{qt}}=56.3\: gal}\nonumber \], \[\mathrm{(average)\: mileage=\dfrac{777\: mi}{56.3\: gal}=13.8\: miles/gallon=13.8\: mpg}\nonumber \]. View Answer. We can do this by multiplying by the ratio 1000 milliliters of water over 1 liter of water. These calculations are examples of a versatile mathematical approach known as dimensional analysis (or the factor-label method). We write the unit conversion factor in its two forms: \[\mathrm{\dfrac{1\: oz}{28.349\: g}\:and\:\dfrac{28.349\: g}{1\: oz}}\nonumber \]. Direct link to medisha02's post Would this work using any, Posted 4 years ago. For example, a dime isnt the same amount as a dollar, but ten dimes equals the same amount of money as one dollar. A car is traveling at a speed of 72 mi/h. This is only applicable to distances. traditional units of distance, so we want to cancel this out in some way. This isn't a set of units that we know that makes sense to us. Consider, for example, the quantity 4.1 kilograms of water. For example, we will write 4.1 kg water, or Glassware for Measuring Volume Direct link to Nolan Ryzen Terrence's post There is nothing much to , Posted 6 years ago. Since \(\mathrm{density=\dfrac{mass}{volume}}\), we need to divide the mass in grams by the volume in milliliters. When you do the dimensional analysis, it makes sure that the The best way to ensure an accurate conversion is to use a scale. Convert 1.64 pounds to grams and milligrams. Dimension y = 98.425inches. Judged on the practice, there feels like there is more to it than this. It makes sure that you're Stoichiometry provides a set of tools that chemists use to manipulate quantities of substances. Convert 50.0 mL to liters. 1 min, Posted 7 years ago. Now when you multiply, these hours will cancel with these hours, these seconds will cancel It shows the metric units for length, capacity, and mass. Direct link to Daberculosis's post This is only applicable t, Posted 5 years ago. This is why it is referred to as the factor-label method. You can use this simple formula to convert: Thus, the volume in grams is equal to the liters multiplied by 1,000 times the density of the ingredient or material. Just like in our dimensional analysis above, our units and our numbers both undergo the mathematical operation, meaning that multiplying the quantity of length by the quantity of width also multiplies the units. Several other commonly used conversion factors are given in Table \(\PageIndex{1}\). Units of measure can be converted by multiplying several fractions together in a process known as dimensional analysis. As mentioned earlier in this chapter, the SI unit of temperature is the kelvin (K). We could have solved the problem using 1 equivalence, 103L = 1 mL. $$5700cm^{3}*\frac{1in^{^{3}}}{16.4cm^{3}}=347.6cm^{3}$$. Now convert from liters (L) to milliliter(mL), which will be the second step of the calculation. Chemists often use dimensional analysis. use the correct number of significant figures for your final answer. We write the unit conversion factor in its two forms: 1 oz 28.35 g and 28.349 g 1 oz 1 oz 28.35 g and 28.349 g 1 oz. What is the density of common antifreeze in units of g/mL? The trick is to remember to raise the QUANTITY and UNITS by the power. Converted liter of water l with respect to grams of water g wt In the opposite direction exchanged from grams of. is equal to our rate, 5 meters per second times our time, times our time, which is 10 seconds. There's not much difference except in the way it's explained. 18- Oh, it's 18,000, 18,000, 18,000 meters. This multiplication does not change the amount of water; it merely changes the units These conversions are accomplished using unit conversion factors, which are derived by simple applications of a mathematical approach called the factor-label method or dimensional analysis. quantity in the units we desire. Direct link to Ashley O'brien's post I'm having trouble with t, Posted 3 years ago. Centiliter is 1/100 of a liter. The y-intercept of the equation, b, is then calculated using either of the equivalent temperature pairs, (100 C, 212 F) or (0 C, 32 F), as: \[\begin{align*} b&=y-mx \\[4pt] &= \mathrm{32\:^\circ F-\dfrac{9\:^\circ F}{5\:^\circ C}\times0\:^\circ C} \\[4pt] &= \mathrm{32\:^\circ F} \end{align*} \nonumber \]. Units of Measurement The SI system of measurement , also known as the metric system, is an international unit . Water is most dense at approximately 4 degrees . gives us the ratios. The 5 times the 1, so we multiply the 5 times the 1, that's just going to give us 5. What is the kelvin temperature? We use the word temperature to refer to the hotness or coldness of a substance. getting the results in units that actually make sense. doing is actually called dimensional analysis. The procedure to use the Dimensional Analysis calculator is as follows: Step 1: Enter two physical quantities in the respective input field. For now we will focus on single step conversions. Your email address will not be published. xoz = 125 g 1oz 28.349 g = ( 125 28.349)oz = 4.41oz(threesignificantfigures) Exercise E.4. This strategy is also employed to calculate sought quantities using measured quantities and appropriate mathematical relations. Voiceover:We've seen Keep in mind that each type of problem can be done with as many or as few conversion factors as you can write. Third, convert ml to L. 1 L = 1000 ml. 1/20/23, 10:17 AM Lesson Activity: Planning Calculations with Dimensional Analysis Part B Now perform the calculation you set up in part A. Example \(\PageIndex{1}\): Using a Unit Conversion Factor. When calculating area or volume, you multiply together lengths, widths, and heights. Here's a chemistry problem. \u0026 Dimensional Analysis General Physics - Conversion of Units Examples Shortcut for Metric Unit Conversion PLTW IED - Unit Conversion 3.2 Notes . To use this you need to identify conversion factors. Solute, Solvent, Solution Relationship 5. These calculations are examples of a versatile mathematical approach known as dimensional analysis (or the factor-label method). When building a conversion factor for units raised to a power, we simply raise the conversion factor to the power we want our final units in. [1] The density of dry ingredients can vary for a variety of reasons, such as compaction. We're going to get distance is Convert 7.2 meters to centimeters and inches. We say, well, distance To convert grams to liters, multiply the density of the ingredient by 1000 and then divide the value in grams by the result. These are the units I will use. This is why it is referred to as the factor-label method.