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12.Kinetic Theory of Gases
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એક પાત્રમાં ${P_0}$ દબાણે વાયુ ભરેલ છે.વાયુના બઘા અણુના દળ અડઘા અને $rms$ ઝડપ બમણી કરતાં નવું દબાણ

A

$4{P_0}$

B

$2{P_0}$

C

${P_0}$

D

$\frac{{{P_0}}}{2}$

Solution

$P = \frac{1}{3}\frac{{mN}}{V}v_{rms}^2$

$P \propto m\,v_{rms}^2$so $\frac{{{P_2}}}{{{P_1}}} = \frac{{{m_2}}}{{{m_1}}} \times {\left( {\frac{{{v_2}}}{{{v_1}}}} \right)^2} = \frac{{{m_1}/\,2}}{{{m_1}}}{\left( {\frac{{2\,{v_1}}}{{{v_1}}}} \right)^2} = 2$

==> ${P_2} = 2{P_1} = 2{P_0}$

Standard 11
Physics

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