Question 145: Thermodynamics & KTG

Question

For a particular ideal gas which of the following graphs represents the variation of mean squared velocity of the gas molecules with temperature?

Accepted Answer

We know, for an ideal gas,
$${V_{rms}} = \sqrt {{{3RT} \over M}} $$
$$ \Rightarrow {V_{ms}} = V_{rms}^2 = {{3RT} \over M}$$
$$ \Rightarrow {V_{ms}} \propto T$$
$$ \Rightarrow {V_{ms}} \propto T$$
i.e. mean squared velocity is directly proportional to temperature.
$$ \Rightarrow {V_{ms}} = {\left( {{{3R} \over M}} \right)^T}$$
by comparing it with $y=mx$ (straight line)
Hence, option 3 is correct.

Answer

Answer

Answer

Answer

Thermodynamics & KTG

For a particular ideal gas which of the following graphs represents the variation of mean squared velocity of the gas molecules with temperature?

Choose the correct answer: