(b) at temperature t = 0 °C and pressure p = 1.0 nPa (such a pressure can be reached by means of contemporary vacuum pumps).
2.224. How many times does the mean free path of nitrogen molecules exceed the mean distance between the molecules under standard conditions?
2.225. Find the mean free path of gas molecules under standard
conditions if the Van der Waals constant of this gas is equal to b =
= 40 ml/mol.
2.226. An acoustic wave propagates through nitrogen under standard conditions. At what frequency will the wavelength be equal
to the mean free path of the gas molecules?
2.227. Oxygen is enclosed at the temperature 0 °C in a vessel
with the characteristic dimension 1 = 10 mm (this is the linear
dimension determining the character of a physical process in question). Find:
(a) the gas pressure below which the mean free path of the molecules k > 1;
(b) the corresponding molecular concentration and the mean
distance between the molecules.
2.228. For the case of nitrogen under standard conditions find:
(a) the mean number of collisions experienced by each molecule
per second;
(b) the total number of collisions occurring between the molecules
within 1 cm3 of nitrogen per second.
2.229. How does the mean free path and the number of collisions
of each molecule per unit time v depend on the absolute temperature
of an ideal gas undergoing
(a) an isochoric process;
(b) an isobaric process?
2.230. As a result of some process the pressure of an ideal gas
increases n-fold. How many times have the mean free path A. and
the number of collisions 'of each molecule per unit time v changed
and how, if the process is
(a) isochoric; (b) isothermal?
2.231. An ideal gas consisting of rigid diatomic molecules goes
through an adiabatic process. How do the mean free path A, and the
number of collisions of each molecule per second v depend in this
process on
(a) the volume V; (b) the pressure p; (c) the temperature T?
2.232. An ideal gas goes through a polytropic process with exponent n. Find the mean free path and the number of collisions of
each molecule per second v as a function of
(a) the volume V; (b) the pressure p; (c) the temperature T.
2.233. Determine the molar heat capacity of a polytropic process
through which an ideal gas consisting of rigid diatomic molecules
goes and in which the number of collisions between the molecules
remains constant
(a) in a unit volume; (b) in the total volume of the gas.
2.224. How many times does the mean free path of nitrogen molecules exceed the mean distance between the molecules under standard conditions?
2.225. Find the mean free path of gas molecules under standard
conditions if the Van der Waals constant of this gas is equal to b =
= 40 ml/mol.
2.226. An acoustic wave propagates through nitrogen under standard conditions. At what frequency will the wavelength be equal
to the mean free path of the gas molecules?
2.227. Oxygen is enclosed at the temperature 0 °C in a vessel
with the characteristic dimension 1 = 10 mm (this is the linear
dimension determining the character of a physical process in question). Find:
(a) the gas pressure below which the mean free path of the molecules k > 1;
(b) the corresponding molecular concentration and the mean
distance between the molecules.
2.228. For the case of nitrogen under standard conditions find:
(a) the mean number of collisions experienced by each molecule
per second;
(b) the total number of collisions occurring between the molecules
within 1 cm3 of nitrogen per second.
2.229. How does the mean free path and the number of collisions
of each molecule per unit time v depend on the absolute temperature
of an ideal gas undergoing
(a) an isochoric process;
(b) an isobaric process?
2.230. As a result of some process the pressure of an ideal gas
increases n-fold. How many times have the mean free path A. and
the number of collisions 'of each molecule per unit time v changed
and how, if the process is
(a) isochoric; (b) isothermal?
2.231. An ideal gas consisting of rigid diatomic molecules goes
through an adiabatic process. How do the mean free path A, and the
number of collisions of each molecule per second v depend in this
process on
(a) the volume V; (b) the pressure p; (c) the temperature T?
2.232. An ideal gas goes through a polytropic process with exponent n. Find the mean free path and the number of collisions of
each molecule per second v as a function of
(a) the volume V; (b) the pressure p; (c) the temperature T.
2.233. Determine the molar heat capacity of a polytropic process
through which an ideal gas consisting of rigid diatomic molecules
goes and in which the number of collisions between the molecules
remains constant
(a) in a unit volume; (b) in the total volume of the gas.