Question

the rms speed of the molecules of a gas in a vessel is 400ms^-1.If half of the gas leaks out at constant temperature ,the rms speed of the remaining molecules will be
a.800ms^-1
b.400
.
c.400ms^-1
d.200ms^-1


​

Answer 1

Answer:

Explanation:

Given,

v

rms

​

=400m/s

The RMS speed of the molecules will be

v

rms

​

=

M

3RT

​

​

. . . . . .(1)

where R= universal gas constant

T= temperature

M= molecular weight

The RMS speed does not depend on the quantity of the gas. For a given gas and the temperature, it remains constant.

So, the RMS speed of the remaining molecules is 400m/s.

The correct option is C.