Information support for schoolchildren and students
Site search

The density of sea water and the density of gasoline. Fuel Density Determination

One of the three aggregate states of the existence of substances is liquid. Liquid particles are arranged very compactly, which causes their high density (the densities of some liquids are given in Table 1) and low compressibility compared to gases. Structure and internal structure liquids are characterized by an ordered arrangement of particles. Due to the relatively high mobility of liquid particles, their ordering is limited to small islands (aggregates or clusters), the latter being randomly oriented relative to each other, and part of the space between them remains unfilled with matter. These formations are unstable, the connections in them are constantly destroyed and reappeared. In this case, particles are exchanged between neighboring clusters. Thus, structurally, a liquid is characterized by the presence of a labile (mobile) equilibrium due to the relative freedom of movement of particles. The formation of labile aggregates in a liquid is observed even at temperatures much higher than the crystallization temperature. As the temperature decreases, the stability of such aggregates increases and, near the crystallization temperature, liquids have a quasi-crystalline structure; the number of aggregates increases, they become larger in size and begin to orient themselves relative to each other in a certain way.

Table 1. Densities of some liquids.

Liquids are isotropic, i.e. them physical properties the same in all directions. With any, arbitrarily small forces, liquids easily change their shape, which manifests itself in fluidity. Naturally, fluidity (or its reciprocal, viscosity) for various liquids varies over a wide range. There are liquids that have a very high viscosity (for example, some bitumens), as a result of which, with a sharp application of a load - an impact - they collapse like solids. At the same time, a gradual and continuous increase in load makes it possible to detect fluidity in them.

Examples of problem solving

EXAMPLE 1

Exercise Calculate the volume of water and mass table salt NaCl, which will be required to prepare 250 ml of a 0.7 M solution. The density of the solution is taken equal to 1 g/cm 3 . What is the mass fraction of sodium chloride in this solution?
Decision The molar concentration of the solution equal to 0.7 M indicates that 1000 ml of the solution contains 0.7 mol of salt. Then, you can find out the amount of salt substance in 250 ml of this solution:

n(NaCl) = V solution (NaCl) × C M (NaCl);

n(NaCl) = 250 × 0.7 / 1000 = 0.175 mol.

Find the mass of 0.175 mol of sodium chloride:

M(NaCl) \u003d Ar (Na) + Ar (Cl) \u003d 23 + 35.5 \u003d 58.5 g / mol.

m(NaCl) = n(NaCl) × M(NaCl);

m(NaCl) = 0.175 x 58.5 = 10.2375 g

Calculate the mass of water required to obtain 250 ml of 0.7 M sodium chloride solution:

r = m solution / V;

m solution = V × r = 250 × 1 = 250 g

m(H 2 O) \u003d 250 - 10.2375 \u003d 239.7625 g.

Answer The mass of water is 239.7625 g, the volume is the same value, since the density of water is 1 g / cm 3.

EXAMPLE 2

Exercise Calculate the volume of water and the mass of potassium nitrate KNO 3 that will be required to prepare 150 ml of a 0.5 M solution. The density of the solution is taken equal to 1 g/cm 3 . What is the mass fraction of potassium nitrate in this solution?
Decision The molar concentration of the solution equal to 0.5 M indicates that 1000 ml of the solution contains 0.7 mol of salt. Then, you can find out the amount of salt substance in 150 ml of this solution:

n(KNO 3) = V solution (KNO 3) × C M (KNO 3);

n (KNO 3) \u003d 150 × 0.5 / 1000 \u003d 0.075 mol.

Find the mass of 0.075 mol of potassium nitrate:

M (KNO 3) \u003d Ar (K) + Ar (N) + 3 × Ar (O) \u003d 39 + 14 + 3 × 16 \u003d 53 + 48 \u003d 154 g / mol.

m(KNO 3) = n(KNO 3) × M(KNO 3);

m (KNO 3) \u003d 0.075 × 154 \u003d 11.55 g.

Calculate the mass of water required to obtain 150 ml of a 0.5 M solution of potassium nitrate:

r = m solution / V;

m solution = V × r = 150 × 1 = 150 g

m (H 2 O) \u003d m solution - m (NaCl);

m(H 2 O) \u003d 150 - 11.55 \u003d 138.45 g.

Answer The mass of water is 138.45 g, the volume is the same value, since the density of water is 1 g / cm 3.

A table is given for the density of liquids at various temperatures and atmospheric pressure for the most common liquids. The density values ​​in the table correspond to the indicated temperatures, data interpolation is allowed.

Many substances are capable of being in a liquid state. Liquids are substances of various origin and composition that have fluidity - they are able to change their shape under the influence of certain forces. The density of a liquid is the ratio of the mass of a liquid to the volume it occupies.

Consider examples of the density of some liquids. The first thing that comes to mind when you hear the word “liquid” is water. And this is not at all accidental, because water is the most common substance on the planet, and therefore it can be taken as an ideal.

Equal to 1000 kg / m 3 for distilled and 1030 kg / m 3 for sea ​​water. Insofar as given value is closely related to temperature, it is worth noting that this "ideal" value was obtained at +3.7°C. The density of boiling water will be somewhat less - it is equal to 958.4 kg / m 3 at 100 ° C. When liquids are heated, their density usually decreases.

The density of water is close in value to various food products. These are products such as: vinegar solution, wine, 20% cream and 30% sour cream. Individual products are denser, for example, egg yolk - its density is 1042 kg / m 3. It turns out to be denser than water, for example: pineapple juice - 1084 kg / m 3, grape juice - up to 1361 kg / m 3, orange juice - 1043 kg / m 3, Coca-Cola and beer - 1030 kg / m 3.

Many substances are less dense than water. For example, alcohols are much lighter than water. So the density is 789 kg / m 3, butyl - 810 kg / m 3, methyl - 793 kg / m 3 (at 20 ° C). Certain types of fuel and oils have even lower density values: oil - 730-940 kg / m 3, gasoline - 680-800 kg / m 3. The density of kerosene is about 800 kg / m 3, - 879 kg / m 3, fuel oil - up to 990 kg / m 3.

Density of liquids - table at various temperatures
Liquid Temperature,
°C
Liquid density,
kg / m 3
Aniline 0…20…40…60…80…100…140…180 1037…1023…1007…990…972…952…914…878
(GOST 159-52) -60…-40…0…20…40…80…120 1143…1129…1102…1089…1076…1048…1011
Acetone C 3 H 6 O 0…20 813…791
Chicken egg white 20 1042
20 680-800
7…20…40…60 910…879…858…836
Bromine 20 3120
Water 0…4…20…60…100…150…200…250…370 999,9…1000…998,2…983,2…958,4…917…863…799…450,5
sea ​​water 20 1010-1050
Water is heavy 10…20…50…100…150…200…250 1106…1105…1096…1063…1017…957…881
Vodka 0…20…40…60…80 949…935…920…903…888
Fortified wine 20 1025
Wine dry 20 993
gasoil 20…60…100…160…200…260…300 848…826…801…761…733…688…656
20…60…100…160…200…240 1260…1239…1207…1143…1090…1025
GTF (coolant) 27…127…227…327 980…880…800…750
Dautherm 20…50…100…150…200 1060…1036…995…953…912
Chicken egg yolk 20 1029
Carboran 27 1000
20 802-840
Nitric acid HNO 3 (100%) -10…0…10…20…30…40…50 1567…1549…1531…1513…1495…1477…1459
Palmitic acid C 16 H 32 O 2 (conc.) 62 853
Sulfuric acid H 2 SO 4 (conc.) 20 1830
Hydrochloric acid HCl (20%) 20 1100
Acetic acid CH 3 COOH (conc.) 20 1049
Cognac 20 952
Creosote 15 1040-1100
37 1050-1062
Xylene C 8 H 10 20 880
Copper vitriol (10%) 20 1107
Copper vitriol (20%) 20 1230
Cherry liqueur 20 1105
fuel oil 20 890-990
Peanut butter 15 911-926
Machine oil 20 890-920
Engine oil T 20 917
Olive oil 15 914-919
(refined) -20…20…60…100…150 947…926…898…871…836
Honey (dehydrated) 20 1621
Methyl acetate CH 3 COOCH 3 25 927
20 1030
Condensed milk with sugar 20 1290-1310
Naphthalene 230…250…270…300…320 865…850…835…812…794
Oil 20 730-940
Drying oil 20 930-950
tomato paste 20 1110
Molasses boiled 20 1460
Molasses starch 20 1433
A PUB 20…80…120…200…260…340…400 990…961…939…883…837…769…710
Beer 20 1008-1030
PMS-100 20…60…80…100…120…160…180…200 967…934…917…901…884…850…834…817
PES-5 20…60…80…100…120…160…180…200 998…971…957…943…929…902…888…874
Apple puree 0 1056
(10%) 20 1071
Salt solution in water (20%) 20 1148
A solution of sugar in water (saturated) 0…20…40…60…80…100 1314…1333…1353…1378…1405…1436
Mercury 0…20…100…200…300…400 13596…13546…13350…13310…12880…12700
carbon disulfide 0 1293
Silicone (diethylpolysiloxane) 0…20…60…100…160…200…260…300 971…956…928…900…856…825…779…744
apple syrup 20 1613
Turpentine 20 870
(fat content 30-83%) 20 939-1000
Resin 80 1200
Coal tar 20 1050-1250
Orange juice 15 1043
grape juice 20 1056-1361
grapefruit juice 15 1062
Tomato juice 20 1030-1141
Apple juice 20 1030-1312
Amyl alcohol 20 814
Butyl alcohol 20 810
Isobutyl alcohol 20 801
Isopropyl alcohol 20 785
Methyl alcohol 20 793
propyl alcohol 20 804
Ethyl alcohol C 2 H 5 OH 0…20…40…80…100…150…200 806…789…772…735…716…649…557
Sodium-potassium alloy (25%Na) 20…100…200…300…500…700 872…852…828…803…753…704
Lead-bismuth alloy (45%Pb) 130…200…300…400…500..600…700 10570…10490…10360…10240…10120..10000…9880
liquid 20 1350-1530
Whey milk 20 1027
Tetracresyloxysilane (CH 3 C 6 H 4 O) 4 Si 10…20…60…100…160…200…260…300…350 1135…1128…1097…1064…1019…987…936…902…858
Tetrachlorobiphenyl C 12 H 6 Cl 4 (arochlor) 30…60…150…250…300 1440…1410…1320…1220…1170
0…20…50…80…100…140 886…867…839…810…790…744
Diesel fuel 20…40…60…80…100 879…865…852…838…825
Fuel carburetor 20 768
Motor fuel 20 911
RT fuel 836…821…792…778…764…749…720…692…677…648
Fuel T-1 -60…-40…0…20…40…60…100…140…160…200 867…853…824…819…808…795…766…736…720…685
Fuel T-2 -60…-40…0…20…40…60…100…140…160…200 824…810…781…766…752…745…709…680…665…637
Fuel T-6 -60…-40…0…20…40…60…100…140…160…200 898…883…855…841…827…813…784…756…742…713
Fuel T-8 -60…-40…0…20…40…60…100…140…160…200 847…833…804…789…775…761…732…703…689…660
Fuel TS-1 -60…-40…0…20…40…60…100…140…160…200 837…823…794…780…765…751…722…693…879…650
Carbon tetrachloride (CTC) 20 1595
Urotropine C 6 H 12 N 2 27 1330
Fluorobenzene 20 1024
Chlorobenzene 20 1066
ethyl acetate 20 901
ethyl bromide 20 1430
Ethyl iodide 20 1933
ethyl chloride 0 921
Ether 0…20 736…720
Aether Harpius 27 1100

Low density indicators are distinguished by liquids such as: turpentine 870 kg / m 3,

Any liquid has its own unique properties and characteristics. In physics, it is customary to consider a number of phenomena that are associated with these specific characteristics.

Liquids are usually divided into two main categories:

  • drip or low compressibility;
  • gaseous or compressible.

Figure 2. Liquid density calculation. Author24 - online exchange of student papers

These classes of liquids have fundamental differences from each other. So drop liquids differ significantly from gaseous ones. They have a certain volume. Its value will not change under the influence of any external forces. In the gaseous state, liquids can occupy the entire volume that they have. Also, a similar class of fluid can change its own volume to a large extent if it is influenced by certain external forces.

Liquids of any kind have three properties that they cannot part with:

  • density;
  • viscosity;
  • surface tension force.

These properties are capable of influencing numerous laws of their motion, therefore they are of primary importance in the process of studying and applying knowledge in practice.

The concept of fluid density

The mass that is contained in a unit volume is called the density of the liquid. If you progressively increase the unit of pressure, then the volume of water will tend to decrease from its original value. The difference in values ​​is approximately 1 to 20000. The same order of numbers will have the volumetric compression ratio for other dropping liquids. As a rule, in practice it is found that there are no serious changes in pressure, therefore it is customary not to use the compressibility of water in practice when calculating specific gravity and density as a function of pressure.

Figure 3. Densities of various liquids. Author24 - online exchange of student papers

To calculate the density of a liquid, the concept of thermal expansion for dropping liquids is introduced. It is characterized by a coefficient of thermal expansion, which expresses the increase in the volume of a liquid with an increase in temperature by 10 degrees Celsius.

Thus, a density index is formed for a particular liquid. It is customary to take into account at different atmospheric pressure, temperature indicators. Above is a table that shows the densities of the main types of liquids.

Density of water

Water is the most common and familiar liquid. Consider the main characteristics of the density and viscosity of this substance. The density of water in natural conditions will be equal to 1000 kg/m3. This figure applies to distilled water. For sea water, the density value is slightly higher - 1030 kg / m3. This value is not finite and is closely related to temperature. Ideal performance can be recorded at a temperature of about 4 degrees Celsius. If you make calculations over boiling water at a temperature of 100 degrees, then the density will decrease quite a lot and will be approximately 958 kg / m3. It has been established that usually in the process of heating any liquids, their density goes down.

The density of water is also quite close to that of a number of common foods. It can be compared with wine, vinegar solution, skim milk, cream, sour cream. Some types of products have higher density values. However, there are many among food and drink products that can significantly yield to classical water. Among them, alcohols are usually distinguished, as well as petroleum products, including fuel oil, kerosene and gasoline.

If it is necessary to calculate the density of some gases, then the equations of state are used ideal gases. This is necessary in cases where the behavior of real gases differs significantly from the behavior of ideal gases and the liquefaction process does not occur.

The volume of a gas usually depends on pressure and temperature values. Pressure differences, which cause significant changes in the density of gases, occur when moving at high speeds. Usually incompressible gas manifests itself at speeds that exceed one hundred meters per second. The ratio of the fluid velocity to the speed of sound is calculated. This allows you to correlate many indicators when confirming the density of a substance.

Viscosity of liquids

Viscosity is another property of any liquid. This is the state of a fluid that is capable of resisting shear or other external force. Real liquids are known to have similar properties. It is defined as internal friction during the relative movement of fluid particles that are nearby.

There are not only easily mobile liquids, but also more viscous substances. The first group usually includes air and water. In heavy oils, resistance occurs on a different level. Viscosity can characterize the degree of fluidity of a liquid. Also, such a process is called the mobility of its particles, and it depends on the density of the substance. The viscosity of liquids in the laboratory is determined by viscometers. If the viscosity of a liquid depends to a greater extent only on the applied temperature, then it is customary to distinguish between several basic parameters of substances. As the temperature increases, the viscosity of the dropping liquid tends to decrease. The viscosity of a gaseous liquid only increases under similar conditions.

The force of internal friction in liquids arises when the velocity of the gradient is proportional to the area of ​​the layers that carry out friction. In this case, friction in liquids is usually distinguished from the process of friction in other solids. AT solids the friction force will depend on the normal pressure, and not on the area of ​​the rubbing surfaces.

Anomalous and ideal fluids

There are two types of liquids, based on their internal characteristics:

  • abnormal fluids;
  • ideal liquids.

Definition 1

Anomalous fluids are those fluids that do not obey Newton's law of viscosity. Such liquids are able to start moving after the moment of shear stress when passing the limit threshold at a minimum. This process is also called initial shear stress. These fluids cannot move at low stresses and experience elastic deformations.

Ideal fluids include an imaginary fluid that is not subject to any compression and deformation, that is, it is devoid of the property of viscosity. For its calculation it is necessary to enter certain correction factors.

Goals of the work:

    to give students an idea of ​​the methodology for determining the density of petroleum products;

    to teach students to take into account the value of density in the operations of accounting for the consumption of fuel and lubricants.

Under fuel densityρ understand its mass per unit volume. The dimension of density in the SI system of units is expressed in kg/m 3 . The density of oil products depends on temperature, i.e., with its increase, the density decreases, and with a decrease, it increases. Density can be measured at any temperature, but the result of the measurement must be brought to a temperature of +20 °C, which is taken as standard when assessing the density of fuels and oils.

Bringing the measured density to the density at a standard temperature of +20 ° C is carried out according to the formula

ρ 20 = ρ t + γ(t + 20),

where ρ - fuel density at test temperature, kg/m 3 ; γ - average temperature correction, kg/m 3 -deg (Table 2); t- temperature at which fuel density was measured, °C.

The values ​​of corrections for density are given in Table. 2.

table 2

Average temperature corrections for the density of oil products

Oil products

Options

Estimated density of oil products ρ t kg / m 3

Temperature correction per 1 °C γ , kg / m 3

Diesel fuel

Reporting on researched oil products

Accounting for petroleum products at oil depots, fuel depots of motor vehicles, mechanization bases and gas stations, as well as wholesale purchase and transportation of fuels and lubricants are carried out in mass units, i.e. the receipt is carried out in weight units - kilograms and tons (kg, t), and the consumption is taken into account in volumetric units - liters (l).

Therefore, the system of accounting and reporting, as well as calculations in the preparation of requests for supply, should provide for the conversion of quantities from mass units to volume units and vice versa. In addition, the control of the presence of fuel residues in the tanks of filling stations (gas stations), their retail sale and release when filling tanks of vehicles, their consumption rates are also established and produced in volume units, i.e. in liters (l).

Because of this, it is necessary to recalculate from mass units to volume units and vice versa, for which it is necessary to know the density of received and issued oil products.

The recalculation is carried out as follows: the amount of gasoline in mass units, kg G t = V t ρ t,

where V t- the amount of gasoline in volume units, l; ρ t- density of gasoline at the same temperature, kg/l.

With the reverse calculation and the same notation V t = G t / ρ t.

Thus, absolute density substance is the amount of mass contained in a unit volume. It has the dimension kg / m 3 in the SI system.

Density measurement with oil densimeters

In warehouses and filling stations, the density of petroleum products is measured using oil densimeter(hydrometer), which is a hollow glass float with a ballast at the bottom and a thin glass tube at the top, in which the density scale is placed. The measuring set includes densimeters with various limits of density scales, which allow practically determining the density of all types of fuels and oils (Fig. 3-4).

Densimeters are graduated in g / cm 3, therefore, to express the density of the product in the SI system, it is necessary to recalculate the measurement result by multiplying by 1000.

Rice. 4. Determination of the density of gasoline a - aerometer: 1 - thermometer scale; 2 - density scale (p, g / cm 2); b - oil densimeter: 1 - oil densimeter

Rice. 3. Device for determining the density of petroleum products: 1 - glass cylinder; 2 - oil densimeter; 3 - tested oil product; 4 - thermometer

Devices and materials - oil densimeter, glass cylinder

The order of the work.

1) pour the test fuel into a clean glass cylinder with a capacity of 250 ml and a diameter of 50 ml;

2) let the fuel settle until air bubbles are released so that it takes on the ambient temperature;

3) select an oil densimeter with the appropriate division of the scale, kg / m 3, and the measurement limit:

for gasoline - 690-750; for diesel fuels - 820-860;

for kerosenes - 780-820; for oils - 830-910;

4) take a clean and dry oil density meter by the upper part and slowly immerse it into the test product so that it does not touch the walls of the cylinder;

5) upon termination of oscillations of the oil densimeter, read off the readings on the density scale along the upper edge of the meniscus (in this case, the observer's eye should be at the level of the meniscus of the liquid);

6)Read the test temperature t according to the thermometer soldered into the oil densimeter. The reading on the densimeter scale gives the density of the fuel ρ t at test temperature t.

7) bring the measured density to the standard value p 20, i.e. to the density at a temperature of +20 ° C, taking into account the temperature correction according to table. 3.

The values ​​of corrections for density are given in Table. 3. The density of gasolines is not standardized, however, along with other physical and chemical indicators, it characterizes the quality of petroleum products;

Table 3

Table of full temperature corrections for the density of oil products

measured

Correction for

measured

Correction for

density, kg / m 3

1°С, kg/m 3

density, kg / m 3

1°С, kg/m 3

8) when determining the density of oil products with a viscosity at 50 ° C of more than 200 cSt, the densimeter immerses very slowly, so such oil products are mixed with an equal volume of kerosene, the density of which was measured in advance. The oil products are mixed until completely homogeneous and the density of the mixture is determined in the same way as indicated earlier.

The density of a viscous oil product is calculated by the formula:

where p I is the density of the mixture; p II is the density of kerosene.

If the density of kerosene and the mixture was determined at different temperatures, then the densities are recalculated, they are brought to the same temperature values, and only after that the values ​​of p I and p II are substituted into the formula.