A gas at Po is contained in a vessel.If the masses of all the molecules is halved and their velocities doubled, then the resulting pressue will be
a) 4Po b) 2Po
c) Po d) Po/2
Hello!
The relationship between the Pressure (here Po) exerted by a gas and a particles mass (say m0) and velocity (v0) is
Po = (nm0v02)/3
n is the number density of the particles
Here the mass of every particle is halved and the velocity is doubled, so the new pressure becomes
P1 = (nm1v12)/3
here m1 = m0/2 and v1= 2vo. Now solving the equation for P1, we will get
P1 = 2P0