are root mean square, average and most probable speeds of molecules of a gas obeying Maxwellian velocity distribution. Which of the following statements is correct?
1.
2.
3.
4.
For a gas, the r.m.s speed at 800 K is:
1. Four times the value at 200 K
2. Half the value at 200 K
3. Twice the value at 200 K
4. Same as at 200 K
The curve between absolute temperature and \(\mathrm{v}^2_{rms}\) is:
1. | 2. | ||
3. | 4. |
Five molecules of a gas have speeds, 1, 2, 3, 4 and 5 km. The value of the root mean square speed of the gas molecules is:
1. 3 km
2. km
3. km
4. 3.5 km
The average velocity of an ideal gas molecule is:
1. | proportional to \(\sqrt{T}\) |
2. | proportional to \(T^2\) |
3. | proportional to \(T^3\) |
4. | zero |
At what temperature is the root mean square speed of molecules of hydrogen twice as that at STP?
1. \(273\) K
2. \(546\) K
3. \(819\) K
4. \(1092\) K
At what temperature, is the root mean square velocity of gaseous hydrogen molecules equal to that of oxygen molecules at 47C:[MP PET 1997, 2000; RPET 1999; AIEEE 2002; J & K CET 2004; Kerala PET 2010]
1. 20 K
2. 80 K
3. - 73 K
4. 3 K
The root-mean-square velocity of the molecules in a sample of helium is of that of the molecules in a sample of hydrogen. If the temperature of the hydrogen gas is 0C, that of the helium sample is about:
1. 0C
2. 5.6C
3. 273C
4. 100C
The temperature of an ideal gas is increased from to . The r.m.s. speed of its molecules becomes-
1. twice
2. half
3. four times
4. one fourth
Molecular weight of two gases are \(M_1\) and \(M_2.\) At any temperature, the ratio of root mean square velocities \(v_1\) and \(v_2\) will be:
1. \(\sqrt{\frac{M_1}{M_2}}\)
2. \(\sqrt{\frac{M_2}{M_1}}\)
3. \(\sqrt{\frac{M_1+M_2}{M_1-M_2}}\)
4. \(\sqrt{\frac{M_1-M_2}{M_1+M_2}}\)