**Kinetic theory of gases 2**

**Ideal gas constant (R) = 8.31 Jmol**

^{-1}K^{-1}Avogadro’s number (N_{A}) = 6.02x10^{23}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**

^{o}C**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 m**

^{3}is full of gas with a density of 1.8 kgm^{-3}at a pressure of 1.4x10^{5}**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 150x10^{6}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?**