Analysis:
density
The ratio of the mass of a substance to its volume, that is, the mass of the substance in unit volume, is called the density of the substance. Its mathematical expression is ρ = m/v. In the international system of units, the main unit of mass is kilogram and the main unit of volume is cubic meter, so the mass of 1 cubic meter is taken as the density of matter. For heterogeneous materials, it is called "average density". The average density of the earth is 5.5× 103 kg/m3, and the average density of dry air under standard conditions is 0.001293x103kg/m3. The densities of common nonmetallic solids, metals, liquids and gases are shown in the attached table.
The application of density in production technology can be reflected in the following aspects.
1. can identify the materials that make up the object.
2. The composition of various substances contained in an object can be calculated.
3. It can calculate the mass of some objects that are difficult to weigh.
4. The volume of objects with complex shapes can be calculated.
5. It can be judged whether the object is solid or hollow.
6. The internal pressure and buoyancy of liquid can be calculated.
To sum up, visible density is widely used in scientific research, production and life. Density is an important basis for identifying unknown substances. Argon is discovered by calculating the density of an unknown gas. After many experiments and spectral analysis, it is confirmed that there is a new gas in the air, named argon. It can be used to judge soil fertility in agriculture. Soil rich in humus is fertile, and its density is generally 2.3× 103kg/m3. According to the density, the fertility of soil can be judged. When selecting seeds, seeds can be selected according to the ups and downs of seeds in water: full and strong seeds sink due to high density; The seeds of shriveled shells and other weeds float on the water because of their low density. In industrial production, such as the production of starch, potatoes are used as raw materials. Generally speaking, potatoes with more starch have higher density, so the yield of starch can be estimated by measuring the density of potatoes. For another example, before casting metal objects, the factory needs to estimate how much metal needs to be melted, and the required metal amount can be calculated according to the volume of the mold and the density of the metal.
Method of measuring object density
There are various methods to measure the density of objects, which can develop students' thinking. I summarized the following measurement methods:
First, measure the solid density.
Basic principle: ρ = m/v;
1, weighing method:
Equipment: balance, measuring cylinder, water, metal block and string.
Step: 1) Weigh the mass of the metal block with a balance;
2) Inject a proper amount of water into the measuring cylinder, and the reading volume is V 1.
3) Tie the metal block with a string, put it into a measuring cylinder, immerse it, and read the volume as V2.
Calculation expression: ρ=m/(V2-V 1)
2, the specific gravity cup method:
Equipment: beaker, water, metal block, balance,
Step: 1), fill the beaker with water and put it on the balance to weigh the mass as m1;
2) Gently put the metal block into water to overflow some water, and then put the beaker on the balance to weigh the mass m2;
3) Take out the metal block, put the beaker on the balance, and weigh the mass m3 of the beaker and the remaining water.
Calculation expression: ρ = ρ water (m2-m3)/(m 1-m3)
3, Archimedes principle law:
Equipment: spring scale, metal block, water, string.
Step: 1), tie the metal block with a string, and weigh the weight g of the metal block with a spring scale;
2) completely immerse the metal block in the water, and weigh the apparent weight of the metal block in the water g/
Calculation expression: ρ=Gρ water /(G-G/)
4, buoyancy method (a):
Equipment: wood block, water, fine needle, measuring cylinder.
Step: 1), inject a proper amount of water into the measuring cylinder, and read the volume as v1;
2) put the wood block into water, float and stand, and read the volume v2;
3) Insert the wood block with a fine needle, completely immerse the wood block in water, and read the volume as V3.
Calculation expression: ρ = ρ water (V2-V 1)/(V3-V 1)
5, buoyancy method (2):
Equipment: scale, cylindrical cup, water, small plastic cup, small stone.
Step: 1), put a proper amount of water in the cylindrical cup, then gently put the plastic cup mouth up and let it float, and use a scale.
Measure the height of water in the cup h1;
2) Gently put the pebbles into the cup, float, and measure the water surface height H2 with a scale;
3) Take the pebbles out of the cup, put them into the water, sink them into the water, and measure the height h3 of the water with a scale.
Calculation expression: ρ = ρ water (h2-h 1)/(h3-h 1)
6, densitometer method:
Equipment: eggs, densimeter, water, salt, glass.
Step: 1), pour a proper amount of water into the glass, gently put the eggs in, and the eggs will sink;
2), gradually add salt to the water, while stirring with a densimeter until the eggs float, and measure the salt water with a densimeter.
Density is equal to the density of eggs;
Second, the density of liquid:
1, weighing method:
Equipment: beaker, measuring cylinder, balance, liquid to be measured.
Step: 1). Weigh the beaker with a balance (M 1).
2) pour the liquid to be measured into a beaker and measure the total mass m2;
3) Pour the liquid in the beaker into the measuring cylinder and measure the volume V. ..
Calculation expression: ρ = (m2-m1)/v.
2. Specific gravity cup method
Equipment: beaker, water, liquid to be treated and balance.
Step: 1), weigh the burned mass m1with a balance;
2) Fill the beaker with water and weigh the total mass m2;
3) Pour water into the beaker, fill the beaker with the liquid to be measured, and weigh out the total mass of M3.
Calculation expression: ρ = ρ water (M3-M 1)/(M2-M 1)
3, Archimedes principle law:
Equipment: spring scale, water, measured liquid, pebbles, string.
Step: 1), tie the small stone with a string, and weigh the gravity g of the small stone with a spring scale;
2) Immerse the small stones in water, and weigh the apparent weight g/
3) Immerse the small piece in the liquid to be measured, and weigh the apparent weight g of the small piece with a spring scale.
Calculation expression: ρ = ρ water (g-g)/(g-g/)
4.u-tube method:
Equipment: U-tube, water, liquid to be measured, balance.
Step: 1), pour a proper amount of water into the U-shaped tube;
2) slowly inject the liquid to be measured from the nozzle of the U-shaped tube along the tube wall.
3) Measure the water height h 1 and the liquid height h2 in the pipe with a scale (as shown in the figure).
Calculation expression: ρ = ρ water h 1/h2.
(Note: The condition of using this method is that the liquid to be tested is insoluble in water, and the density of the liquid to be tested is less than that of water. )
5, densitometer method:
Equipment: density meter, liquid to be tested.
Methods: put the densimeter into the liquid to be measured and read the density directly.