MCQ
The root mean square speed of hydrogen molecules of an ideal hydrogen gas kept in a gas chamber at $0°C$ is $3180$ metres/second. The pressure on the hydrogen gas is ..... $atm$ (Density of hydrogen gas is $8.99 \times {10^{ - 2}}\,kg/{m^3}$, $1$ atmosphere $ = 1.01 \times {10^5}\,N/{m^2})$
  • A
    $1$
  • B
    $1.5$
  • C
    $2$
  • $3$

Answer

Correct option: D.
$3$
d
${v_{rms}} = \sqrt {\frac{{3P}}{\rho }} $ 

$\Rightarrow$ $P = \frac{{v_{rms}^2\rho }}{3} = \frac{{{{(3180)}^2} \times 8.99 \times {{10}^{ - 2}}}}{3}$

$ = 3 \times {10^5}\,N/{m^2} = 3\,atm$

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