Gas at a pressure ${P_0}$ in contained is a vessel. If the masses of all the molecules are halved and their speeds are doubled, the resulting pressure $P$ will be equal to
  • A$4{P_0}$
  • B$2{P_0}$
  • C${P_0}$
  • D$\frac{{{P_0}}}{2}$
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 value of $\gamma\left(=\frac{\mathrm{C}_{\mathrm{p}}}{\mathrm{C}_{\mathrm{v}}}\right),$ for hydrogen, hellium and another ideal diatomic gas $X$(whose molecules are not rigid but have an additional vibrational mode), are respectively equal to 
    View Solution
  • 2
    When $2 \,\,gms$ of a gas are introduced into an evacuated flask kept at $25\,^0C$ the pressure is found to be one atmosphere. If $3 \,\,gms$ of another gas added to the same flask the pressure becomes $1.5$ atmospheres. The ratio of the molecular weights of these gases will be
    View Solution
  • 3
    Three perfect gases at absolute temperatures $T_1 , T_2$ and $T_3$ are mixed. The masses of molecules are $m_1 , m_2$ and $m_3$ and the number of molecules are $n_1, n_2$ and $n_3$ respectively. Assuming no loss of energy, the final temperature of the mixture is
    View Solution
  • 4
    The average kinetic energy of hydrogen molecules at $300 K$ is $E.$ At the same temperature, the average kinetic energy of oxygen molecules will be
    View Solution
  • 5
    If the volume of the gas containing $n$ number of molecules is $V,$ then the pressure will decrease due to force of intermolecular attraction in the proportion
    View Solution
  • 6
    If the root mean square velocity of hydrogen molecule at a given temperature and pressure is $2 \mathrm{~km} / \mathrm{s}$, the root mean square velocity of oxygen at the same condition in $\mathrm{km} / \mathrm{s}$ is :
    View Solution
  • 7
    One mole of an ideal gas passes through a process where pressure and volume obey the relation $P\, = {P_0}\,\left[ {1 - \frac{1}{2}{{\left( {\frac{{{V_0}}}{V}} \right)}^2}} \right]$.  Here $P_0$ and $V_0$ are constants. Calculate the change in the temperature of the gas if its volume change from $V_0$ to $2V_0$
    View Solution
  • 8
    On increasing number density for a gas in a vessel, mean free path of a gas
    View Solution
  • 9
    Five moles of helium are mixed with two moles of hydrogen to form a mixture. Take molar mass of helium $M_1=4\ g$ and that of hydrogen $M_2=2\ g$ The equivalent value of $\gamma$ is
    View Solution
  • 10
    The average distance between molecules of an ideal gas at $STP$ is approximately of the order of
    View Solution