Question

RMS velocity of a gas is and 400 m/sec at 27°C. If gas molecule is diatomic and rigid, it is compressed to 1/32 of its volume suddenly. What is the rms velocity gas molecules after the process.​

Answer 1

Answer:

We know that the rms velocity is given as V

rms

=

2

M

3RT

We also know that increasing temperature will increase pressure so we just need to see the formula for temperature dependence and just apply above formula.

From above formula

v

2

v

1

=

2

T

2

T

1

=

2

127+273

27+273

=

2

4

3

so v

2

=

2

3

2v

1

=

3

400

m/s