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### FAQ

One and a half liters of water is needed to fill three quarters of a vessel. How much more water is needed to fill the vessel?

0.75 part of the vessel needs= 1.50 liters1 Full vessel needs=1.50x 1/0.75= 2 liters.So to fill the full vessel it needs 2 liters.So(2–1.5) =0.5 more water is to be added to fill the vessel.

A gas is filled in a vessel at 300K. To what temperature should it be heated in order that 1/3 of the gas may escape out of the vessel? How would you explain each step?

Any gas or vapor, by definition, is NOT held together due to its own inter-molecular forces of attraction, which is the case for liquids and solids. Therefore, it must always be stored in gas tight closed containers. If any leak exists, by the process of thermal diffusion, it will escape to outside, no matter what may be the differences of pressure or temperature between the inside and the outside.The size of leak and the pressure difference (including the influence of any difference in temperature and concentration) will decide the rate of the said (inter) diffusion. The time of say one third of the gas escaping from an open vessel may be a few seconds to weeks, depending upon operating parameters, e.g., the difference in densities, the orientation and the size of the opening, etc.Interestingly, even a lighter (than the surrounding air) density gas will diffuse out through any opening in the bottom of the vessel. Likewise, a higher density gas will diffuse out through any opening at the top of the vessel. The molecules of all gases are constantly and randomly moving with velocities of hundreds of meter per sec, even at ambient temperatures. That explains these peculiar properties of gases.

A gas is filled in a vessel at 27 C. To what temperature should it be heated, in order that 1/3rd of the gas may escape out of the vessel?

Let us consider that the gas is ideal gas.Here, pressure is constant .Volume is constant as volume of gas is actually volume of container which is not changing , gas is just escaping out .So , no. of molecules changes if initially there were n molecules now 1/3 escape out so we are left with 2/3 molecules .Hence , no. of molecules =2/3 nUsing , ideal gas equation we have ,PV=nRTfrom this eq we get that T is inversely proportional to n ( no. of molecules)Hence , T1/T2=n2/n1T1=27°C=273+27=300Kn2=(2/3)*n1Put these values in the above eq we get 300/T2=n1/(2/3)*n1Thus, T2=(300*3)/2 =450K =177°C

A vessel is filled with liquid, which is 5 parts water and 7 parts syrup. How much of the liquid should be drawn out and replaced by water to make it half water and half syrup?

A2A.The ratio is 5:7.Assume that the vessel contains 120 liters.Water=50 litersSyrup=70 litersSince all the liquid taken out of the vessel is replaced by water, the total volume remains constant.Therefore, we need to ensure there's 60 litres of water and Syrup individually.Therefore, we need to take out 10 litres of syrup and replace it with water.For every 12 litres taken out of the vessel, we replace 7 litres of syrup with water.Therefore, we need to replace (12*10)/7 of the solution with water. (17.142%)Hope this helps.

How can I calculate how fast a vessel fills?

Depends on the shape of the vessel.First, find the volume of the vessel, according to its dimensions and the formula for the volume of the shape of the vessel. Convert it into the units given by the rate at which the vessel is being filled.Eg. If your volume is in cm^3 and the rate of filling is in m^3, convert it appropriately.Then divide the volume of the vessel by the rate of filling. The answer will be your time, which will be in the units as described in your rate of filling.If the filling rate and volume are in cm^3 per minute, then your answer will be in minutes too.Hope this helps!

How do SEALs stay in shape when deployed on a submarine or some other vessel with limited space to work out?

First, Seals usually don’t stay on subs that long. How long would be hard to explain. Typical sea duty (deploying commands) “go out for 6+ months of deployments. When SEALS or any other special operations/warfare groups deploy on a “smaller” platform, i.e. subs and surface vessels, they don’t stay out long. They still leave home for 6+ months but in different ways.It is true that a SEAL and/or EOD det. deploys with a carrier battle group but that is a little different. Carriers have gyms and hangar bays.I will talk to my experience. I tried out for SEALs and passed the PST but my scores weren’t “competitive”. I had worked for SEALs and deployed with a Special Warfare command, so I gave it a go. Then I took an inventory of my motives. I had other things I wanted to do and never really was committed to going to BUD/s. You really have to want it or you are just wasting everybody’s time.SEALs and all of the “high speed, low drag” folks do calisthenics for their workouts. When you have a large group of people that have to workout together, there is no other way to do it. Yes, eventually when someone is allowed to do their own thing, they may use a different forms but for group exercise it has to be calisthenics.I joined the Navy about 192lbs at 5′10″. I left boot at 178. Now you have to understand for my frame 178 you see ribs and collar bone. My mom was very worried and asked me if “they” starved me? I lost all of my weight doing calisthenics. Anyone that went to any bootcamp will tell you it wasn’t that I was given quality food.Now for the good stuff. I can and many others can “PT” you with calisthenics so thoroughly you will puke. So with a little care and that workout can be both cardio and strength training. I only need a bar to hang from. In a 6 by 6 space you can get all of the cardio and strength training you need.