Kinetic theory of
gases 2
Ideal
gas constant (R) = 8.31 Jmol-1K-1 Avogadro’s number (NA) = 6.02x1023 mol-1
1.
Use the data given on this page to calculate the value of the Boltzmann
constant (k)
2.Calculate:
(a)
the kinetic energy of an individual gas molecule
of mass 3.5x10-26 kg moving at a speed of 600 ms-1.
(b)
the kinetic energy of the gas molecules in a cylinder at a temperature of 20 oC
3.
A cylinder contains 2 moles of a gas composed of molecules with a mass of
2.5x10-26 kg moving with an r.m.s. speed of 500 ms-1.
Calculate the temperature of the gas.
4. Two gases of density 1.35 kgm-3
(gas A) and 1.68 kgm-3 (gas B) are released into the air. If gas A
diffuses at a rate of 0.2 ms-1 what is the rate of diffusion of gas
B?
5.
State Avogadro’s law.
6.
A container of volume 1.5 m3 is full of gas with a density of 1.8
kgm-3 at a pressure of 1.4x105
Pa.
(a)
Calculate the root mean square velocity of the molecules within the gas.
(b)
If the mass of an individual molecule of the gas is 3.0x10-27 kg calculate
the number of molecules in the container
7.
A deuterium plasma contains deuterium ions of mass 4.9x10-27 kg at a
temperature of 150x106 K.
Calculate:
(a)
the r.m.s. speed and
(b)
the kinetic energy of a deuterium ion in the plasma
8.
Degrees of freedom:
(a)
What is meant by a "degree of freedom" of a gas molecule?
(b)
Describe the nature of the degrees of freedom for a monatomic molecule
(c)
Describe the nature of the degrees of freedom for a diatomic molecule
(d)
Which degree of freedom in your answer to part (c) is associated with the least
energy?
