Question

Calculate the temperature at which rms speed of gas molecules is

double of its speed at 270
c, pressure remaining constant.​

Answer 1

Answer:

Well, thanks or the question.The RMS velocity of the gas is given by √3RT/M. As the R and M are constant,hence it varies with the temperature.And we see that RMS velocity is directly proportional to the temperature.

Hence,as the temperature is increased from 27 to 927(in degree Celsius).

Remember that the temperature must be in Kelvin as it is standard scale.

Therefore,

V1/V2=√T1/√T2

=√300/√1200=1/2

Here,1200 and 300 are in Kelvin scale.

Hence RMS Velocity increases with temperature.