Test: Molecular Velocity (Old NCERT) - JEE MCQ

The root mean square velocity of a monoatomic gas (molar mass = m g mol^-1) is u. Its kinetic energy per mole (E) is related to u by equation

Root mean square velocity (u) is dependent on temperature. Value of  is

The pressure needed to confine 1.00 mole of N₂ molecules to 24.8 L flask is 1.0 bar. Thus, root mean square velocity of the gas assuming ideal behaviour is

The ratio between the root mean square speed of H₂ gas at 50 K and that of O₂ gas at 800 K is

[IIT JEEE 1996]

The rms velocity of hydrogen gas is √7 times of the rms velocity of nitrogen gas. If T is the temperature of the gas, then

[IIT JEE 2000]

For CO₂, given that average velocity at T, is equal to most probable velocity at T₂.

Thus, T₁/T₂ is 

For gaseous state, if most probable speed is denoted by C*, average speed by  and mean square speed by C, then for a large number of molecules, the ratios of these speeds are

[JEE Main 2013]

Molar mass of a certain gas B is double that of A.

Also RMS velocity of gas A is 200 ms ^-1 at a certain temperature. RMS velocity of gas B at the temperature half that of A is 

A vessei of capacity 1 dm³ contains 1.0³ x 10²³ H₂ molecules exerting a pressure of 101.325 kPa. Calculate RMS speed and average speed.

The molecular velocity of any gas is

[AlEEE 2011]

Distribution of molecules with velocity is represented by the curve as shown   Select the correct statement(s).

Select the correct statement (s).

Direction (Q. Nos. 16 and 17) This section contains 2 questions. when worked out will result in an integer from 0 to 9 (both inclusive).

Q. Temperature of an ideal gas is changed from -173°C to 127°C. Thus average velocity changes by .......... times.

At what temperature (in °C) root mean square velocity of O₂ gas at 300 K is equal to most probable velocity of Ne(20 g mol^-1)?

Direction (Q. Nos. 18-20) This section contains a paragraph, wach describing theory, experiments, data etc. three Questions related to paragraph have been given.Each question have only one correct answer among the four given options (a),(b),(c),(d).

Distribution of molecular velocities was studied by Maxwell and is given by

 is also called probability P.

Q. 
Based on following curves, arrange temperatures T₁ , T₂ and T₃ in increasing order,​

Distribution of molecular velocities was studied by Maxwell and is given by

 is also called probability P.

Q. Following is the distribution of molecules at 300 K for gases X, Y and Z

Thus,

Distribution of molecular velocities was studied by Maxwell and is given by

 is also called probability P.

Q. 
As velocity increases, probability also increases. It is maximum at a particular velocity. This is called most probable velocity. At this point, variation of probability P with velocity u is 

Thus, based on this, velocity is