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The r.m.s. velocity of molecules of a ga...

The r.m.s. velocity of molecules of a gas of density 4kg `//m^(3)` and pressure `1.2 xx 10^(5) N//m^(2)` is

A

900 `m//s`

B

`120 m//s`

C

`600m//s`

D

`300 m//s`

Text Solution

Verified by Experts

The correct Answer is:
D
r.m.s. velocity `= sqrt(( 3RT)/( M ))`
For an ideal gas , `PV = nRT`
r.m.s. velocity ` = sqrt(( 3PVcancel( M))/(mcancel(M)))= sqrt(( 3P )/( d)) ` `( :. d = ( m )/( v ))`
r.m.s. velocity ` =sqrt( ( 3 xx 1.2 xx 10^(5))/( 4)) = 300m//s`
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