Explanation :
In the given case different law related to gas is given. The attached figure shows the required solution.
Boyle's law states that the pressure is inversely proportional to the volume of the gas i.e.


k is a constant.
Charle's law states that the volume of directly proportional to the temperature of the gas.


Combined gas law is the combination of the pressure, volume and the temperature of the gas i.e.

Hence, this is the required solution.
This is the process of sieving, in which the heavier particles settle at the bottom and the lighter ones are retained at the top.
Explanation:
The given data is as follows.
Moles of propylene = 100 moles,
= 300 K
= 800 K,
,
of propylene = 100 J/mol
Now, we assume the following assumptions:
Since, it is a compression process therefore, work will be done on the system. And, work done will be equal to the heat energy liberating without any friction.
W = 

= 
= 5 MJ
Thus, we can conclude that a minimum of 5 MJ work is required without any friction.