The value of root mean square speed for O₂ is 400 m/s. Find the temperature of the O_2.

2

(a)

If value of most probable speed for an ideal gas is 500 m/s. Find the value of root mean square speed for this gas.

2

(a)

Find the temperature at which rms speed of a gas is half of its value of 0⁰C, pressure remaining constant.

2

(a)

We have 0.5 g of hydrogen gas in a cubic chamber of size 3 cm kept at NTP. The gas in the chamber is compressed keeping the temperature constant till a final pressure of 100 atm. Is one justified in assuming the ideal gas law, in the final state? (Hydrogen molecules can be consider as spheres of radius 1 \(\overset { o }{ A }\)).

2

(a)

Three vessels of equal capacity have gases at the same temperature and pressure. The first vessel contains neon (monatomic), the second contains chlorine (diatomic), and the third contains uranium hexafluoride (polyatomic). Do the vessels contain equal number of respective molecules ? Is the root mean square speed of molecules the same in the three cases? If not, in which case is v_rms the largest ?

2

(a)

A diatomic gas is heated in a vessel to a temperature of 10000K.If each molecules possess an average energy E₁. After sometime, a few molecule escape into the atmosphere at 300K. Due to which, their energy changes to E_2. Calculate the ratio of \(\frac { { E }_{ 1 } }{ { E }_{ 2 } } \).

2

(a)

What will be the internal energy of 8g of oxygen at STP?

2

(a)

What is basic law followed by equipartition of energy?

2

(a)

Calculate the mean free path of a molecule of a gas at room temperature and one atmospheric pressure.The radius of the gas molecules (avg) is 2 x 10^-10m?

2

(a)

The ratio of vapour densities of two gases at the same temperature is 6 : 9. Compare the r.m.s. velocities of their molecules.

2

(a)

Does the number of degrees of freedom of a gas molecule change with rise in temperature?

2

(a)

How does the mean free path of a gas depends on its temperature?

2

(a)

What is the number of degrees of freedom of a molecule of a diatomic gas at room temperature?

2

(a)

Chlorine and carbon dioxide gases are maintained at 27°C. Which gas will have higher average molar kinetic energy of translation and why?

2

(a)

A container has equal number of molecules of hydrogen and carbon dioxide. If a fine hole is made in the container, then which of the two gases shall leak out rapidly?

2

(a)