Question 453: Thermodynamics & KTG

Question

For a given gas at 1 atm pressure, rms speed
of the molecule is 200 m/s at 127°C. At 2 atm
pressure and at 227°C, the rms speed of the
molecules will be :

Accepted Answer

$${V_{rms}} = \sqrt {{{3RT} \over {{M_w}}}} $$
$$ \Rightarrow {V_{rms}} \propto \sqrt T $$
Now, $${v \over {200}} = \sqrt {{{500} \over {400}}} $$
$$ \Rightarrow {v \over {200}} = {{\sqrt 5 } \over 2}$$
$$ \Rightarrow v = 100\sqrt 5 $$ m/s

Answer

100 m/s

Answer

100 $$\sqrt 5 $$ m/s

Answer

80 $$\sqrt 5 $$ m/s

Answer

80 m/s

Thermodynamics & KTG

For a given gas at 1 atm pressure, rms speed of the molecule is 200 m/s at 127°C. At 2 atm pressure and at 227°C, the rms speed of the molecules will be :

Choose the correct answer: