00:01
A gas contained in the vertical piston cylinder assembly, where the acceleration due to gravity is 9 .81 meter per second square, where diameter d is 12 cm, the vertical shaft whose cross -section area is 0 .8 cm squared is attached to the top of the piston.
00:21
The total mass of the piston and the shaft is 30 kg and the local atmospheric pressure.
00:30
Is one atmospheric pressure.
00:34
While the gas is slowly heated, the internal energy of the gas increases by 0 .1 kilojoules.
00:46
The potential energy of the piston shaft, piston shaft coordination increases by 0 .3 kilojoule and the force f is equals 1 ,400 newton is exerted on the shaft as shown in figure.
01:10
The friction between piston and cylinder is negligible so find out the work done by the shaft second part is work done in displacing the atmosphere and third part is to find the heat transfer in gas in kilojouze.
01:48
For the first part, the potential energy is equal to mass into acceleration to gravity into change in elevation or the total displacement of the assembly from here first to find the displacement is 0 .3 divided by mass is 30 kg multiply 9 .81 so the elevation will be 0 .815 meter then work done displacement work for the assembly is equals to force multiplied by the vertical displacement, substituting the value 1 ,400 multiplied by 0 .8 .5 meter is, the work done by the shaft on the assembly is 1 .141 .7 joules.
02:52
Writing the expression for the net area of the shaft piston, area of piston minus area of shaft.
03:04
Area for piston is equal to pi by 4 d square your d is 12 cm substituting the values pi by 4 into 12 whole square this area of the piston will be 113 .0 4 cm square then the net area is equal to 113 .04 minus a area of the shaft given is 0 .8 cm square then the net area will be 112 .24 centimeter square.
03:49
Now work done by the atmosphere on the atmosphere is atmospheric atmospheric pressure multiplied by net area into the vertical displacement.
04:02
Substitute the value...