#### The molecules of a given mass of a gas have r.m.s. velocity of 200 ms-1 at 27 °C and 1.0 x 105 Nm-2 pressure. When the temperature and pressure of the gas respectively, 127 °C and 0.05 x 105 Nm-2, the r.m.s. velocity of its molecules in ms-1 is Option 1) Option 2) Option 3) Option 4)

Root mean square velocity -

- wherein

R = Universal gas constant

M = molar mass

P = pressure due to gas

= density

at T=

is independent to pressure.

or

m/s

Vrms= 200 m/s at T = 270C = 300K

p = 105 Nm-2

Vrms

Option 1)

Incorrect option

Option 2)

Correct option

Option 3)

Incorrect option

Option 4)

Incorrect option