how to convert liters to grams using dimensional analysis

Direct link to Neil Gabrielson's post Great question! Having identified the units and determined the conversion factor, the calculation is set up as follows: Notice that the conversion factor used has the given units in the denominator which allows for proper cancellation of the units, that is, the given units cancel out, leaving only the desired units which will be in the answer. CoolGyan'S online dimensional 24/7 support Our team is available 24/7 to help you with whatever you need. You can learn anything! is a unit of distance. Notice, this and this are the inverse statements. }}=86\: cm} \nonumber \], Since this simple arithmetic involves quantities, the premise of dimensional analysis requires that we multiply both numbers and units. How many miles of nitrogen gas are in 10.0 L sample at STP? Direct link to elise's post In the practice, many of , Posted 4 years ago. To determine the units of this quantity, we cancel the kilograms water \[\mathrm{4.00\:\cancel{qt}\times\dfrac{1\: L}{1.0567\:\cancel{qt}}=3.78\: L}\nonumber \], \[\mathrm{3.78\:\cancel{L}\times\dfrac{1000\: mL}{1\:\cancel{L}}=3.78\times10^3\:mL}\nonumber \], \[\mathrm{density=\dfrac{4.20\times10^3\:g}{3.78\times10^3\:mL}=1.11\: g/mL}\nonumber \]. seconds, they give it in hours, so they say the time is equal to 1 hour. Direct link to Ani-Jay's post Does anyone know a better, Posted 6 months ago. Whats the difference? Show the expression setup and cancel units in the whiteboard area, below. water. Scientific notation lets us write really large or really small numbers in a more efficient way. We write the unit conversion factor in its two forms: \[\mathrm{\dfrac{1\: oz}{28.349\: g}\:and\:\dfrac{28.349\: g}{1\: oz}}\nonumber \]. It is great because is shows the relationship between the units. Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. are equivalent (by definition), and so a unit conversion factor may be derived from the ratio, \[\mathrm{\dfrac{2.54\: cm}{1\: in. pretty straightforward way, apply this formula. Express your answer to the correct number of significant figures. Direct link to Nolan Ryzen Terrence's post There is nothing much to , Posted 6 years ago. One way we measure a change in temperature is to use the fact that most substances expand when their temperature increases and contract when their temperature decreases. It might jump out of you, well, if we can get rid of this hours, if we can express it in terms of seconds, then that would cancel here, and we'd be left with just the meters, which is a unit of distance The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. To answer this question, you will need to recall one fact of converting between customary and metric systems: 1 inch = 2.54 cm. This is good practice for the many problems you will encounter in this and future chemistry and science courses. It will take seconds for the device to release 154 grams of the gas. that's cute and everything, "but this seems like a little We're going to do our We could have just as easily have done this if we hadn't been given the direct conversion factor between cm3 and in3. Quick conversion chart of liters to grams. 90 kg = _____ oz I searched my tables and I could not find a "unit" that compares kg to oz. These conversions are accomplished using unit conversion factors, which are derived by simple applications of a mathematical approach called the factor-label method or dimensional analysis. In this calculation we are solving for gallons. \end{align*} \nonumber \]. Convert 250 Mg ->g Using Dimensional Analysis. 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. dimensional analysis is used to convert between different units of measurement, and find unknown characteristics from those that we do know. Beyond simple unit conversions, the factor-label method can be used to solve more complex problems involving computations. In problem solving, proper care in setting up calculations is very important, and special attention should always be given to unit cancellation. vice versa. Note that this simple arithmetic involves dividing the numbers of each measured quantity to yield the number of the computed quantity (100/10 = 10) and likewise dividing the units of each measured quantity to yield the unit of the computed quantity (m/s = m/s). 18,000 divided by 1,000 is equal to 18. 1 litre oil is equal to how many grams. more complicated example. What is the volume of the cube in cm3 ? = 454 grams) An aspirin tablet contains 325 mg of acetaminophen. The units worked out. are equivalent (by definition), and so a unit conversion factor may be derived from the ratio, \[\mathrm{\dfrac{2.54\: cm}{1\: in. One way to think about it, we're just multiplying this thing by 1, 1 kilometer over 1,000 meters. When he is making "hours" the denominator, he also has to make the numerator 3600 "seconds" to keep the value same as before, since (3600 sec)/1h = 1 and multiplying any number (except 0) by 1 will always be the number you multiplied to, meaning it wouldn't change the value. Found a typo and want extra credit? Note that this simple arithmetic involves dividing the numbers of each measured quantity to yield the number of the computed quantity (100/10 = 10) and likewise dividing the units of each measured quantity to yield the unit of the computed quantity (m/s = m/s). PDF. The 5 times the 1, so we multiply the 5 times the 1, that's just going to give us 5. How many gallons can we get with 28.06 lbs of milk? A ratio of two equivalent quantities expressed with different measurement units can be used as a unit conversion factor. 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: \[\begin{align*} b&=y-mx \\[4pt] &= \mathrm{32\:^\circ F-\dfrac{9\:^\circ F}{5\:^\circ C}\times0\:^\circ C} \\[4pt] &= \mathrm{32\:^\circ F} \end{align*} \nonumber \]. the amount of a substance expressed in "moles of molecules.". If starting with milliliters, we use 19.3g/mL to convert to grams. This is why it is referred to as the factor-label method. The Dimensional Analysis Calculator is a free online tool that analyses the dimensions for two given physical quantities. We would be left with 50, and the units that we're \[\mathrm{^\circ C=\dfrac{5}{9}(^\circ F-32)=\dfrac{5}{9}(450-32)=\dfrac{5}{9}\times 418=232 ^\circ C\rightarrow set\: oven\: to\: 230 ^\circ C}\hspace{20px}\textrm{(two significant figures)}\nonumber \], \[\mathrm{K={^\circ C}+273.15=230+273=503\: K\rightarrow 5.0\times 10^2\,K\hspace{20px}(two\: significant\: figures)}\nonumber \]. A: Click to see the answer. 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. 1 amu = 1.6606 x 10 -24 grams. I am having difficulties applying what he said in the videos to the practice problems he's giving me. Problem: A student needs 2,361 L of ethyl alcohol for an experiment. 1 mole over Avogadro's number of items equals 1, Avogadro's number of items over 1 mole equals 1. can really be viewed as algebraic objects, that you can treat them like variables as we work through a This is the same thing as 5 times 10, 5 times 10 times meters per second, times meters per second times seconds, times seconds. Cancel the s's and you get "m". We simply would have had to raise the conversion factor between cm and in to the third power. Regardless of the details, the basic approach is the sameall the factors involved in the calculation must be appropriately oriented to insure that their labels (units) will appropriately cancel and/or combine to yield the desired unit in the result. Metric Units \u0026 Unit Conversions Page 5/25. In the meantime, you will need to practice, practice, and more practice. In the example we converted 24 quarts to gallons. 0.23 mol oxygen, or 3.0 x 1021 atoms sodium. Now, if we examine the table of conversion factors (Table \(\PageIndex{1}\)), we find that there is 16.4 cm3 in 1 in3. &=\mathrm{\left(\dfrac{125}{28.349}\right)\:oz}\\ For this Example \(\PageIndex{1}\): Using a Unit Conversion Factor. There are 1000 cm 3 in 1 dm 3. The liter is an SI accepted unit for volume for use with the metric system. 1 Answer. xoz = 125 g 1oz 28.349 g = ( 125 28.349)oz = 4.41oz(threesignificantfigures) Exercise 1.2.1. We know we're going to use moles eventually (because a chemical equation is involved), so we look at the Periodic table and find that 1 mole of Mg weighs 24.31 . From the above \nonumber \]. 500 grams to liter = 0.5 liter. Multi-UNIT Conversions using DIMENSIONAL ANALYSIS Dimensional analysis is useful when converting between multiple systems of measurement at the same time. For now we want to concentrate on setting up conversion factors, but as a preview to dimensional analysis, the following calculation shows how the conversion factor is used. Water is most dense at approximately 4 degrees . An oxygen atom has a diameter of 1.2 x 10-10 m. What is the volume, in liters, of 6.46 x 1024 oxygen atoms? Step 3: Calculate the Mass. Direct link to NavNalajala's post At 4:14,i don't understan, Posted 4 years ago. An abbreviated form of this equation that omits the measurement units is: \[\mathrm{\mathit{T}_{^\circ F}=\dfrac{9}{5}\times \mathit{T}_{^\circ C}+32} \nonumber \]. (b) Using the previously calculated volume in gallons, we find: \[\mathrm{56.3\: gal\times\dfrac{$3.80}{1\: gal}=$214}\nonumber \]. 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. Density Calculator. 3. Adelaide Clark, Oregon Institute of Technology, Crash Course Chemistry, Crash Course is a division of. It is often the case that a quantity of interest may not be easy (or even possible) to measure directly but instead must be calculated from other directly measured properties and appropriate mathematical relationships. One of the conversion factors will be used for the calculation. When calculating area or volume, you multiply together lengths, widths, and heights. Dimensional analysis is used in converting different units of measure through the multiplication of a given proportion or conversion factor. In any problem or calculation involving conversions, we need to know the units involved, in this case the units are dimes and dollars. We know that there are 454 g in one lb. In general: the number of units of B = the number of units of A \(\times\) unit conversion factor. and chemistry and engineering, you'll see much, much, much more, I would say, hairy formulas. Then, the fraction you wrote in Step 3 that allows you to cancel out the unit you started with (cm), and multiply. Converting units does not change the actual value of the unit. 2 Jul. with those seconds, and we are left with, we are left with 5 times 3,600. There are many ways to solve these problems which will depend on what equivalences you remember. The mole is defined as Avogadro's number of items, For example, it is meaningless to ask whether a kilogram is less, the same, or more than an hour.Any physically meaningful equation (and likewise any inequality and inequation) will have the same dimensions on the left and right sides, a property known as \"dimensional homogeneity\". You may do simple problems like this frequently throughout the day. I'm doing this in my chemistry class. The equivalence can be written in following fractional forms called conversion factors. }\right)\times length\: in\: inches} \nonumber \]. Just print, laminate, cut, hole punch, and add to a ring. Remember that 1000 g and 1 kg are the same thing, so we are just multiplying We write the unit conversion factor in its two forms: 1oz 28.349g and 28.349g 1oz. bit of too much overhead "to worry about when I'm just doing "a simple formula like this." Type the correct answer in the box. - A milliliter (mL) is a cube 1 centimeter (cm) long on each side, also called 1 cubic centimeter (cm cm cm = cm 3 ). First, set up a conversion factor. The thing about setting up a conversion factor is to know the equivalence of the two units, that is, when the two units equal the same amount. Here is a video of some easy conversion problems using these conversion factors solved using dimensional analysis: enter link description here. Dimensional analysis is based on this premise: the units of quantities must be subjected to the same mathematical operations as their associated numbers. Convert a volume of 9.345 qt to liters. 2. We've now expressed our distance in terms of units that we recognize. But, then you need to reduce the fraction. 5. Direct link to Hedayat's post I'm doing this in my chem, Posted 3 years ago. 500 mL is equal to 0.5 L. The density of milk, according to online tables, is about 1.030 kg/L (slightly more for whole milk, a . 1 min, Posted 7 years ago. Jan 15, 2015. (When identical units divide to yield a factor of 1, they are said to cancel.) Using dimensional analysis, we can determine that a unit conversion factor has been set up correctly by checking to confirm that the original unit will cancel, and the result will contain the sought (converted) unit. . . Depending on the direction in which you are converting, this fact gives you a rate of conversion as either 1 inch for every 2.54 centimeters or 2.54 centimeters for every inch. Get the Most useful Homework explanation. \u0026 Dimensional Analysis General Physics - Conversion of Units Examples Shortcut for Metric Unit Conversion PLTW IED - Unit Conversion 3.2 Notes . Volume in ml = Volume in cm 3. Dimensional analysis is a way chemists and other scientists convert unit of measurement. The correct unit conversion factor is the ratio that cancels the units of grams and leaves ounces. 1 liter per 100 centiliters. (1 lbs. This isn't a set of units that we know that makes sense to us. doing is actually called dimensional analysis. As your study of chemistry continues, you will encounter many opportunities to apply this approach. The freezing temperature of water on this scale is 273.15 K and its boiling temperature 373.15 K. Notice the numerical difference in these two reference temperatures is 100, the same as for the Celsius scale, and so the linear relation between these two temperature scales will exhibit a slope of \(\mathrm{1\:\dfrac{K}{^\circ\:C}}\). x\:\ce{oz}&=\mathrm{125\:\cancel{g}\times \dfrac{1\: oz}{28.349\:\cancel{g}}}\\ We begin by writing our initial quantity. Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. View Answer. You can use this simple formula to convert: grams = liters 1,000 ingredient density. Because the numerator and denominator are equal, the fractions are equal to 1. Dimensional analysis, or more specifically the factor-label method, also known as the unit-factor method, is a widely used technique for such conversions using the rules of algebra. What's neat here is we On the Celsius scale, 0 C is defined as the freezing temperature of water and 100 C as the boiling temperature of water. We can convert mass from pounds to grams in one step: \[\mathrm{9.26\:\cancel{lb}\times \dfrac{453.59\: g}{1\:\cancel{lb}}=4.20\times 10^3\:g} \nonumber \]. Use Dimensional Analysis. In working with Unit analysis is a form of proportional reasoning where a given measurement can be multiplied by a . We'd want to multiply this thing by something that has use or teach dimensional analysis, work through the exercises in this chapter, paying . gold's density is 19.3 grams per mL. In this case, we want L to be the remaining unit. Several other commonly used conversion factors are given in Table \(\PageIndex{1}\). I don't think this happens often, but if you think about it, 18 is the same thing as 18/1, so it's basically saying that Uche pumps 18 gallons every second. This uses the principle that we can multiply a number by fractions that are equivalent to 1 to change the units without changing the actual value of the number. This method is called dimensional analysis and will be an important part of problem solving in any science course. Where applicable, start with a British unit and convert to metric, vice versa, etc. is equal to our rate, 5 meters per second times our time, times our time, which is 10 seconds. Learn how to solve single-step and multi-step problems using dimensional analysis and understand the cancellation of units in a numerator and denominator. Some examples of conversion factors are: 1 hour = 60 min 1m = 100cm 1km = 1000m. Yes, "m/s *s/1 = ms/s". Following the same approach, the equations for converting between the kelvin and Celsius temperature scales are derived to be: \[T_{\ce K}=T_{\mathrm{^\circ C}}+273.15 \nonumber \], \[T_\mathrm{^\circ C}=T_{\ce K}-273.15 \nonumber \]. \[\begin{align*} that we're familiar with. Since a cm 3 is equal to a mL, and a dm 3 is equal to a L, we can say that there are 1000 mL in 1 L. Example 2.3. 1. Example \(\PageIndex{4}\): Computing Quantities from Measurement Results. After multiplying, we get the value 4100. the proportionality constant, m, is the conversion factor. It is generally used to categorize types of physical quantities and units based on their relationship to or dependence on other units.\"Wikipedia contributors. Would this work using any formula, like a=F/m? What if we didn't want Baking a ready-made pizza calls for an oven temperature of 450 F. Example: Use dimensional analysis to find the missing quantity. U.S. customary units have been defined in terms of metric units since the 19th century, and the SI has been the "preferred system of weights and measures for United States trade and commerce" since . conversion, we will need the definition that 1 liter is equal to 1000 milliliters. Set up the conversion to cancel out the desired unit. Metric Units and Dimensional Analysis. 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. For example, consider measuring the average speed of an athlete running sprints. If gasoline costs $3.90 per gallon, what was the fuel cost for this trip? Go To Home Page, Your email address will not be published. The 273.15 in these equations has been determined experimentally, so it is not exact. Convert the pressures recorded in hPa into atm through dimensional analysis. How many grams in 1 liter? Round your answer to 2 decimal places. The actual weight of a liter will vary depending on the density of the material. This multiplication does not change the amount of water; it merely changes the units 1. To convert from dimes to dollars, the given (20 dimes) is multiplied by the conversion factor that cancels out the unit dimes. and the unit product thus simplifies to cm. Once again, dimensional analysis has helped us express a Does anyone know a better way of explaining what he's talking about? Knowing how to set up conversion factors, we can now move into setting up calculations using dimensional analysis, which is also known as the factor-label method. seconds in the denominator multiplied by seconds in the numerator. If we were to treat our units as these algebraic objects, we could say, hey, look, we have seconds divided by seconds, or you're going to have What could we do? To simply convert from any unit into kg/m 3, for example, from 50 lb/ft 3, just multiply by the value in the right column in the table below. Dimension Y = 250cm. volume in L = (volume in ml) x (1 L/1000 ml) volume in L = (15625/1000) L. Convert between the three main temperature units: Fahrenheit, Celsius, and Kelvin. 0.01 m 3 / 0.001 [ (m 3) / (L) ] = 10 L. To convert among any units in the left column, say from A to B, you can multiply by the factor for A to convert A into m/s 2 then divide by the factor for B to convert out of m 3 . Direct link to Ian Pulizzotto's post With square units, you wo, Posted 4 years ago. In this section, we will be putting a lot of practice in learning to use the approach to solving chemical problems. 1 L 1000 ml. What is this temperature on the kelvin scale and on the Fahrenheit scale? 1 kg = 1000 g = 2.205 pounds. [1][2][3]The concept of physical dimension was introduced by Joseph Fourier in 1822. 2. I'm confused. For now we will focus on single step conversions. While being driven from Philadelphia to Atlanta, a distance of about 1250 km, a 2014 Lamborghini Aventador Roadster uses 213 L gasoline. It is often the case that a quantity of interest may not be easy (or even possible) to measure directly but instead must be calculated from other directly measured properties and appropriate mathematical relationships. Joe is the creator of Inch Calculator and has over 20 years of experience in engineering and construction. We need to use two steps to convert volume from quarts to milliliters. Next, you can make use of Avogadro's number to find the . The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. Time is another quantity that we convert frequently. Converting from one dimensional unit to another is often somewhat complex. Now, you know that in 105 g of methane there are 6.55 mol of methane. Divide the mass by the volume in order to find the density, and then use conversion factors to cancel the given units and leave the desired units. Rearrangement of this equation yields the form useful for converting from Fahrenheit to Celsius: \[\mathrm{\mathit{T}_{^\circ C}=\dfrac{5}{9}(\mathit{T}_{^\circ F}+32)} \nonumber \]. Here is a video with some more challenging examples: enter link . What is the density of common antifreeze in units of g/mL? Use this page to learn how to convert between liters and grams. It contains word problems that relates to density and even a few sat proportion word problems.Access The Full 1 Hour 34 Minute Video on Patreon:https://www.patreon.com/MathScienceTutorDirect Link to The Full Video on Patreon:https://bit.ly/2UMTXoSUnit Conversion - Basic Notes:https://bit.ly/3IFPhFDFull 1 Hour 34 Minute Video on Youtube:https://www.youtube.com/watch?v=MqDYkUBL8n8Join The Youtube Membership Program:https://www.youtube.com/channel/UCEWpbFLzoYGPfuWUMFPSaoA/join But what's neat is when you multiply, we have meters canceling with meters, and so you're left with We can take this definition and form ratios: These ratios are useful, since they allow us to convert from quantities in grams to quantities in kilograms and If you want to get the most useful . Explanation: The device will release 154 grams of the gas in . we are using to describe this amount of water. Here's a chemistry problem. 1. The procedure to use the Dimensional Analysis calculator is as follows: Step 1: Enter two physical quantities in the respective input field. getting the right units. There is nothing much to worry We know distance = Speed * Time, I don't understand why m/s * s cancels out the two s's? Web. It contains the metric prfixes and their meaning. To convert this to molecules of water, we multiply by the (a) We first convert distance from kilometers to miles: \[\mathrm{1250\: km\times\dfrac{0.62137\: mi}{1\: km}=777\: mi}\nonumber \]. He will use a graduated cylinder that reads in milliliter gradations. Well, 1 kilometer is 1,000 meters, so this thing is equivalent to 1. Convert 0.00009 cm/sec to micrometers/min. Unlike the Celsius and Fahrenheit scales, the kelvin scale is an absolute temperature scale in which 0 (zero) K corresponds to the lowest temperature that can theoretically be achieved. b) If the jet weights 443.613 Mg without passengers or fuel, what is the mass when the fuel is added? This chart is a must-have for converting metric units! For example, if someone Explain the dimensional analysis (factor label) approach to mathematical calculations involving quantities. 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. We've just flipped it, but they're giving the same information. Liters can be abbreviated as l, and are also sometimes abbreviated as L or . 10 : 98.425. 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). This complicates the conversion of units, however, since our GIVEN conversion factors often only account for one dimension, not two or three. To convert grams to liters, multiply the density of the ingredient by 1000 and then divide the value in grams by the result. In our example, we are asked how many dollars equal 20 dimes. Q: Calculate the pH of the resulting solution if 28.0 mL28.0 mL of 0.280 M HCl (aq)0.280 M HCl (aq) is. 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 . Question 140 Correct! If you have a question, please ask in the comment section. We begin by writing down our initial quantity of 4.1 kilograms water. If gasoline costs $3.90 per gallon, what was the fuel cost for this trip? In terms of the road map, it would look like this, Write an equivalence and conversion factors for the conversion microliters to liters You must remember to "distribute" the cube. The International System of Units (SI) specifies a set of seven base units from which all other units of measurement are formed. writing down our initial quantity of 0.43 mol water. use the correct number of significant figures for your final answer. Quick conversion chart of grams to liter. \[\mathrm{4.00\:\cancel{qt}\times\dfrac{1\: L}{1.0567\:\cancel{qt}}=3.78\: L} \nonumber\], \[\mathrm{3.78\:\cancel{L}\times\dfrac{1000\: mL}{1\:\cancel{L}}=3.78\times10^3\:mL} \nonumber\], \[\mathrm{density=\dfrac{4.20\times10^3\:g}{3.78\times10^3\:mL}=1.11\: g/mL} \nonumber\]. By knowing how many dimes are in a dollar, we know that twenty dimes equals two dollars. It is often useful or necessary to convert a measured quantity from one unit into another. We need to use two steps to convert volume from quarts to milliliters. Voiceover:We've seen If you're seeing this message, it means we're having trouble loading external resources on our website. The best way to ensure an accurate conversion is to use a scale. . time, which is 1 hour, times 1 hour. For example, 1 liter can be written as 1 l, 1 L, or 1 . Let us say that we have 0.43 mole of water, and we would like to convert this to molecules of water. 1 kilogram over 1000 grams is equal to 1. 1 teragram/liter [Tg/L] = 1000000000000 kilogram/cubic meter. A Toyota Prius Hybrid uses 59.7 L gasoline to drive from San Francisco to Seattle, a distance of 1300 km (two significant digits). Direct link to Nichole's post There's not much differen, Posted 7 years ago. Dimensional Analysis is a powerful way to solve problems. (When identical units divide to yield a factor of 1, they are said to cancel.) Using dimensional analysis, we can determine that a unit conversion factor has been set up correctly by checking to confirm that the original unit will cancel, and the result will contain the sought (converted) unit. A gram is the mass/weight equal to 1/1,000 of a kilogram and is roughly equivalent to the mass of one cubic centimeter of water. Alternatively, the calculation could be set up in a way that uses three unit conversion factors sequentially as follows: \[\mathrm{\dfrac{9.26\:\cancel{lb}}{4.00\:\cancel{qt}}\times\dfrac{453.59\: g}{1\:\cancel{lb}}\times\dfrac{1.0567\:\cancel{qt}}{1\:\cancel{L}}\times\dfrac{1\:\cancel{L}}{1000\: mL}=1.11\: g/mL}\nonumber \].

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