Kinetic Theory - Online Test
If there are n number of molecules per unit volume and m is the mass of each , is the x-component of velocity, pressure can be written as
Pressure is due to collision of molecule with the wall of container.
Collision by moleculeto the wall of conntainer assumed to be perfectly elastic.
By the principle of conservation of momentum, the momentum imparted to the wall in the collision = 2mvx
the number of molecules hitting the wall in time =
n = no. of molecule per unit volume
A = Area of container
The total momentum transferred to the wall by these molecules in time =
Pressure P = F/A = rate of momentum transfer per unit area
all molecules in a gas do not have the same velocity; there is a distribution in velocities. The above equation therefore, stands for pressure due to the group of molecules with speed vx in the x-direction and n stands for the number density of that group of molecules. The total pressurer due to all groups
for monatomic gases f = 3
for diatomic gases f = 5
For a rope of yield strength loaded in tension with weight Mg the minimum area A of the rope should be
We know that Yield strength times the Area give the weight of the body.
As Yield strength = weight of body/area
For safety purposes
Yield strength weight of body/area
Mg/A
A Mg/
Radius =
molecular volume of oxygen
Actual volume of oxygen at STP = 22400cm3
ratio of molercular volume to the actual volume =
