Question

The rms speed at NTP of a gas can be calculated from the expression :
(a) $\sqrt{3P/d}$
(b) $\sqrt{3PV/M}$
(c) $\sqrt{3RT/M}$
(d) All of these

Answer 1

The root mean square velocity of the gas is √3RT /M.

Option (C) is correct.

Explanation:

The average velocity of gas particles is found using the root mean square velocity formula:

• μrms = (3RT/M)½
• μrms = root mean square velocity in m/sec
• R = ideal gas constant = 8.3145 (kg·m2/sec2)/K·mol
• T = absolute temperature in Kelvin
• M = mass of a mole of the gas in kilograms.

Thus the root mean square velocity of the gas is √3RT /M.

Answer 2

Answer:

The root mean square

velocity of the gas is V3RT

M.

Option (C) is correct.

Explanation:

The average velocity of gas particles

is found using the root mean square

velocity formula

urms = (3RT/M)%

urms root mean square velocity in

m/sec

R ideal gas constant 8.3145

(kg-m2/sec2)/K-mol

.T absolute temperature in Kelvin

M=mass of a mole of the gas in

kilograms.

Thus the root mean square velocity of

the gas is v3RT /M.