The process by which a gas through a small hole into vacuum is called effusion. The rate of change of pressure (p) of a gas at constant temperature due to effusion of gas from a vessel of constant volume can be related to rate of change of number of molecules by the expression: (dp)/(dt)=(kT)/(V)((dN)/(dt)) where Rate ofchange of number of molecules rArr""-(dN)/(dt)=(pA_(0))/((2pimkR)^(1//2)) where, k= Boltzmann constant N_(A) = Avogadro's number T= temperature (in K) rArr""-(dN)/(dt)=(pA_(0))/((2pimkR)^(1//2)) N_(A) = Avogadro's number T=temperature (in K) V=volume of vessel N=1 no.of molecules A_(0)= area of aperture m=mass of single molecule gamma=(V)/(A_(0))sqrt((2pim)/(kT)) If initial pressure is P_(0) then pressure of gas at any time t in the container at constant V and T is given by:

The process by which a gas through a small hole into vacuum is called

1.	The process by which a gas through a small hole into vacuum is called effusion. The rate of change of pressure (p) of a gas at constant temperature due to effusion of gas from a vessel of constant volume can be related to rate of change of number of molecules by the expression: (dp)/(dt)=(kT)/(V)((dN)/(dt)) where Rate ofchange of number of molecules rArr""-(dN)/(dt)=(pA_(0))/((2pimkR)^(1//2)) where, k= Boltzmann constant N_(A) = Avogadro's number T= temperature (in K) rArr""-(dN)/(dt)=(pA_(0))/((2pimkR)^(1//2)) N_(A) = Avogadro's number T=temperature (in K) V=volume of vessel N=1 no.of molecules A_(0)= area of aperture m=mass of single molecule gamma=(V)/(A_(0))sqrt((2pim)/(kT)) If initial pressure is P_(0) then pressure of gas at any time t in the container at constant V and T is given by:
Answer» <P>`P_(0)E^(-t//y)` `P_(0)e^(t//gamma)` `P_(0)(1-e^(-t//gamma))` `P_(0)(1-e^(t//gamma))` ANSWER :A