Question 314: Thermodynamics & KTG

Question

Given below are two statements :
Statement I : The average momentum of a molecule in a sample of an ideal gas depends on temperature.
Statement II : The rms speed of oxygen molecules in a gas is $$v$$. If the temperature is doubled and the oxygen molecules dissociate into oxygen atoms, the rms speed will become $$2 v$$.
In the light of the above statements, choose the correct answer from the options given below :

Accepted Answer

Average momentum $$ = \left\langle {\overrightarrow P } \right\rangle  = 0$$
$${v_{rms}} = \sqrt {{{3RT} \over M}} $$
If temperature is doubled and oxygen atoms are used then
$$v{'_{rms}} = \sqrt {{{3R(2T)} \over {M/2}}}  = 4\,{v_{rms}}$$

Answer

Both Statement I and Statement II are true

Answer

Both Statement I and Statement II are false

Answer

Statement I is true but Statement II is false

Answer

Statement I is false but Statement II is true

Thermodynamics & KTG

Choose the correct answer: