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12.Kinetic Theory of Gases
normal

............ $\mathrm{K}$ 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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