States of Matte...

Direction (Q. Nos. 1-14) This section contains 14 multiple choice questions. Each question has four choices (a), (b), (c) and (d), out of which ONLY ONE option is correct.

Q. Pressure and temperature needed to confine 1.0 x 10²⁵ gas molecules, each with a mass of 1.0x 10²⁵ kg and root mean square velocity of 1.0x 10³ms^-1 in a 1.0 m³ container are 

At 298 K, which of the following gases has the lowest average molecular speed?

By what ratio will the average velocity of the molecules in a gas change when the temperature is raised from 50°C to 200°C?

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).