A cylinder of capacity $20$ litres is filled with ${H_2}$ gas. The total average kinetic energy of translatory motion of its molecules is $1.5 \times {10^5}\,J$. The pressure of hydrogen in the cylinder is
  • A$2 \times {10^6}\,N/{m^2}$
  • B$3 \times {10^6}\,N/{m^2}$
  • C$4 \times {10^6}\,N/{m^2}$
  • D$5 \times {10^6}\,N/{m^2}$
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 degree of freedom per molecule of a gas is $6.$ The gas performs $25 \,J$ work, while expanding at constant pressure. The heat absorbed by the gas is ...... $J$
    View Solution
  • 2
    When the temperature of a gas is raised from $30^o C$ to $90^o C$ , the percentage increase in the $r.m.s.$ velocity of the molecules will be
    View Solution
  • 3
    Same gas is filled in two vessels of the same volume at the same temperature. If the ratio of the number of molecules is $1: 4$, then

    $A.$ The $r.m.s$. velocity of gas molecules in two vessels will be the same.

    $B.$ The ratio of pressure in these vessels will be $1: 4$

    $C.$ The ratio of pressure will be $1: 1$

    $D.$ The $r.m.s.$ velocity of gas molecules in two vessels will be in the ratio of $1: 4$

    View Solution
  • 4
    A flask contains argon and oxygen in the ratio of $3: 2$ in mass and the mixture is kept at $27^{\circ} C$. The ratio of their average kinetic energy per molecule respectively will be ...........
    View Solution
  • 5
    The r.m.s. velocity of a gas at a certain temperature is $\sqrt 2 $ times than that of the oxygen molecules at that temperature. The gas can be
    View Solution
  • 6
    A gas is enclosed in a vessel at a constant temperature at a pressure of $5$ atmosphere and volume $4$ litre. Due to a leakage in the vessel, after some time, the pressure is reduced to $4$ atmosphere. As a result, the
    View Solution
  • 7
    The root mean square speed of the molecules of a gas is
    View Solution
  • 8
    $4$ moles of an ideal gas is at $0°C.$ At constant pressure it is heated to double its volume, then its final temperature will be ...... $^oC$
    View Solution
  • 9
    Two thermodynamical process are shown in the figure. The molar heat capacity for process $A$ and $B$ are $C_A$ and $C_B$. The molar heat capacity at constant pressure and constant volume are represented by $C_P$ and $C_V$, respectively. Choose the correct statement.
    View Solution
  • 10
    The air density at Mount Everest is less than that at the sea level. It is found by mountaineers that for one trip lasting a few hours, the extra oxygen needed by them corresponds to $30,000\, cc$ at sea level (pressure $1$ atmosphere, temperature $27°C$). Assuming that the temperature around Mount Everest is $-73°C$ and that the oxygen cylinder has capacity of $5.2 \,litre,$ the pressure at which ${O_2}$ be filled (at site) in cylinder is  .... $atm$
    View Solution