Why is the pressure of a gas at the same temperature and the number of molecules inversely proportio

What you're talking about should be Boyle's law.

Note that this is the law of ideal gases, and this is an experimental law. If I had to give a non-formula explanation, I could give it a try and see if it was right.

The pressure is generated due to a large number of molecules hitting the wall of the device. It can be understood as the force of a gas molecule on a wall per unit area per unit time.

Therefore, the pressure can be written as the following formula:

n is the number of molecules hitting the unit area per unit of the vessel wall per unit time.

f' is the force of a molecule striking at one time.

As is the ideal situation:

n is proportional to the unit volume.

The number of molecules n0, ideally, the temperature is constant, then n0 = n (in the premise it is constant) v, so, n is inversely proportional to the volume of the gas.

f' is proportional to the energy of the molecule, which is proportional to the temperature (thermodynamics.

contents), since the temperature does not change, then f' does not change.

After the above analysis, we can know that ideally, the pressure of the gas is proportional to the volume when the temperature is constant.

This passage is the completion of the ideal gas equation in high school.

After that, the introduction is usually talked about by the teacher.

Hope. If there is something wrong, I hope to point it out.

There is an interaction force between the molecule atoms, which can be known according to the formula p=f s when other conditions are constant.

Avogadro's law is inexhaustible from each other, it is a description of the properties of the equation of state of an ideal gas, and it is incomplete. Both Avogadro's law and its inferences can be derived from the equation of state of an ideal gas and its deformations (pressure, volume, absolute temperature, amount of matter, gas constant, density). Derivable from the law:

One consecutive ratio, three positive proportions, three inverse proportions".

1 "Continuous ratio": refers to the ratio of the mass of any gas of the same volume to the molar mass (relative molecular mass) at the same temperature and pressure, which is equal to the density ratio.

2 "Three proportions".

1) At the same temperature and pressure, the ratio of the volume of two gases is equal to the ratio of the amount of their substance, and the ratio of their number of molecules.

2) At the same temperature and volume, the ratio of the pressure of two gases is equal to the ratio of the amount of their substance and the ratio of their number of molecules.

3) At the same temperature and pressure, the ratio of the density of two gases is equal to the ratio of their molar masses (relative molecular mass).

3 "Three inverse ratios".

1) At the same temperature, pressure and mass, the volume of the two gases is inversely proportional to their molar mass (relative molecular mass).

2) At the same temperature and the same number of molecules (or the amount of the same substance), the pressure of the two gases is inversely proportional to their volume.

3) At the same temperature, volume and mass (at the same density), the pressure of the two gases is inversely proportional to their molar mass (relative molecular mass).

Without PV=NRT, none of Avogadro's laws can be introduced. Avogadro's law is itself a declarative law that does not involve the origin and cannot be used as a source to deduce other properties.

Because the intermolecular spacing of the gas is generally more than ten times the diameter of the molecule, the size of the gas molecule in this case is negligible. Only intermolecular intermolecular intervals are considered.

According to the formula, PV=NRT is the same at the same temperature and pressure, PVT is the same, and R is a constant, then N is also equal, that is, the number of moles is equal.

One mole of any substance has the same number of molecules.

1.Four physical quantities are required to describe the gas state: t p v

2.The four quantities have a one-row excitation relation: pv=nrt where r is a constant.

3.For any two gases, as long as three of them have the same quantity, the fourth quantity must be the same.

Therefore, when the T gear socks p v are the same, the quantity (or molecular number) of the material quality must be the same.

The mass of the gas land macro is equal to the density multiplied by the volume.

It is also equal to the mass of the relative molecular early residue book multiplied by the amount of the substance. The amount of matter is in turn equal to the molar volume of the gas) multiplied by the volume.

Approximate the volume.

According to the ideal gas equation pv=nrt (where: p is the pressure, v is the volume, n is the amount of matter, r is the constant, t is the temperature), it is further deduced that p, r, t are all the same, and the volume is proportional to the amount of matter.

If the masses are equal, then m p1 = v1 and m p2 = v2 are substituted into v1 v2 = n1 n2, and p2 p1 = n1 n2 i.e. the density of the gas is inversely proportional to the amount of matter;

If we do not know whether the masses are equal, we cannot draw conclusions, but we can only say that the volume of the gas is proportional to the amount of matter, or that the density of the gas is proportional to the molar mass of the gas (i.e., v=m p, n=m m is substituted for the derivation of the hailstorm).

There are three factors that affect the volume of gases.

1 Number of gases.

2. The volume of the gas molecule itself.

3 gas intervals.

Let's talk about the other way around.

At the same temperature and pressure, 1 molar gas body contains individual particles, because the gas spacing is too large, so the volume of the gas particles is negligible, because the gas spacing is equal at the same temperature and pressure, so the gas spacing is equal, so the amount of gas with the same substance is equal in volume (gas molar volume) and the quantity is equal.

So, ah, the quantity is equal, the amount of matter is equal, the volume is equal!

The same volume at the same temperature and pressure means that the amount of matter is the same. Suppose 1mol2CO+O2=2CO2

Reaction off or slow chain generation 1 1 A pair of open rounds. Disturb the early grandchildren.

1molCO2 is generated, which is 1 2 b error of the original gas.

After the reaction, there is a 1molCO2, C pair.

Atoms are conserved. 1molc 3molo 1 3 d wrong.

Choose C, at the same temperature and pressure, the ratio of the volume of the gas is consistent with the ratio of the quantity of the substance, so there is A2+3B2==2C, and then the answer is obtained according to the law of conservation of mass.

Avogadro's Law: Any gas of the same volume containing the same number of molecules at the same temperature and pressure, known as Avogadro's law. The volume of a gas refers to the space occupied by the molecules it contains, and under normal conditions, the average distance between the molecules of a gas is about 10 times the diameter of the molecule, so when the number of molecules contained in the gas is determined, the volume of the gas is mainly determined by the average distance between the molecules rather than the size of the molecules themselves.

At the same temperature and pressure, any gas of the same volume contains the same number of molecules, so it is also called the law of four sameness, also known as the law of five sameness or the Clabergron equation (five same refers to the same temperature, the same pressure, the same volume, the same number of molecules, and the same amount of matter).

Formula: PV=NRT, p is the pressure, V is the volume of the gas, N is the amount of the substance, T is the absolute temperature, and R is the gas constant. The r-value is the same for all gases.

If pressure, temperature, and volume are all in SI units (si), r = Pa·m3 mol·kee.

Corollary: (1) At the same temperature and pressure, <

The volume ratio of the gas is equal to the ratio of the quantity of the substance).

2) At the same temperature and volume, <

The ratio of pressure is equal to the ratio of the quantity of the substance and the ratio of the number of molecules).

3) When the same temperature and pressure and other qualities, <

4) At the same temperature and pressure, m1 m2=p1 p2