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12.Kinetic Theory of Gases
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$27°C$ તાપમાને અને $1.0 \times {10^5}\,N/{m^2}$ દબાણે વાયુની rms ઝડપ $200 \, m/sec $છે.તો $127°C$ તાપમાને અનૈ $0.5 \times {10^5}\,N/{m^2}$ દબાણે $rms$ ઝડપ
A
$\frac{{100\sqrt 2 }}{3}\,m/sec$
B
$100\sqrt 2 \, m/sec$
C
$\frac{{400}}{{\sqrt 3 }} \,m/sec$
D
એકપણ નહિ
Solution
${v_{rms}} \propto \sqrt T $
$\frac{{{v_{{{300}^o}}}}}{{{v_{{{400}^o}}}}} = \sqrt {\frac{{300}}{{400}}} = \sqrt {\frac{3}{4}} $
==> $\frac{{200}}{{{v_{400}}}} = \sqrt {\frac{3}{4}} $
==> ${v_{400}} = \frac{{200 \times 2}}{{\sqrt 3 }} = \frac{{400}}{{\sqrt 3 }}m/s$.
Standard 11
Physics
