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$2$
  • D$3$
Medium
art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    The average translational kinetic energy of ${O_2}$ (molar mass $32$) molecules at a particular temperature is $ 0.048\, eV.$ The translational kinetic energy of ${N_2}$ (molar mass $28$) molecules in $eV$ at the same temperature is
    View Solution
  • 2
    The mean kinetic energy of a gas at $300\, K$ is $100\, J.$ The mean energy of the gas at $450\, K$ is equal to ...... $J$
    View Solution
  • 3
    A cylinder contains $10\, kg$ of gas at pressure of ${10^7}\,\,N/{m^2}.$ The quantity of gas taken out of the cylinder, if final pressure is $2.5 \times {10^6}\,N/{m^2},$ will be ..... $kg$ (Temperature of gas is constant)
    View Solution
  • 4
    The temperature of an ideal gas is increased from $27°C$ to $927°C.$ The root mean square speed of its molecules becomes
    View Solution
  • 5
    A gas at $ 27\ ^oC$ has a volume $V$ and pressure $P$. On heating its pressure is doubled and volume becomes three times. The resulting temperature of the gas will be ....... $^oC$
    View Solution
  • 6
    Select the appropriate property of an ideal gas
    View Solution
  • 7
    Consider two ideal diatomic gases $\mathrm{A}$ and $\mathrm{B}$ at some temperature $T$. Molecules of the gas $A$ are rigid, and have a mass $m$. Molecules of the gas $\mathrm{B}$ have an additional vibrational mode, and have a mass $\frac{\mathrm{m}}{4} .$ The ratio of the specific heats $(\mathrm{C}_{\mathrm{v}}^{\mathrm{A}}$ and $\mathrm{C}_{\mathrm{v}}^{\mathrm{B}})$ of gas $\mathrm{A}$ and $\mathrm{B}$, respectively is
    View Solution
  • 8
    If radius of $O _{2}$ molecule $=40 \mathring A, T =27^{\circ} C$ and $P =1 \,atm .$ Find the time of relaxation.
    View Solution
  • 9
    In a dilute gas at pressure $P$ and temperature $T$, the mean time between successive collisions of a molecule varies with $T$ as
    View Solution
  • 10
    The root mean square speed of hydrogen molecules at $300$ $K$ is $1930\, m/s.$ Then the root mean square speed of oxygen molecules at $900\, K$ will be ....... $m/s$
    View Solution