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12.Kinetic Theory of Gases
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............ $\mathrm{K}$ તાપમાને $H_2$ ની rms ઝડપ $47°C$ તાપમાને રહેલા $O_2$ ની rms ઝડપ જેટલી થાય?
A
$20$
B
$80$
C
$-73$
D
$3$
Solution
${v_{{O_2}}} = \sqrt {\frac{{3R{T_{{O_2}}}}}{{{M_{{O_2}}}}}} $ ,
${v_{{H_2}}} = \sqrt {3R\frac{{{T_{{H_2}}}}}{{{M_{{H_2}}}}}} $
$ = \sqrt {\frac{{3R{T_{{O_2}}}}}{{{M_{{O_2}}}}}} $
$ = \sqrt {3R\frac{{{T_{{H_2}}}}}{{{M_{{H_2}}}}}} $
==> $\frac{{{T_{{O_2}}}}}{{{M_{{O_2}}}}} = \frac{{{T_{{H_2}}}}}{{{M_{{H_2}}}}}$
==> $\frac{{47 + 273}}{{32}} = \frac{{{T_{{H_2}}}}}{2}$
==> ${T_{{H_2}}} = \frac{{320}}{{32}} \times 2 = 20\,K$.
Standard 11
Physics
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