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After that, another pump with the same chamber volume V, begins to suck in the atmospheric air, also making n double strokes. What will be the pressure inside the vessel? |
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Answer» Solution :In the figure we can see that when the piston comes out, the valve CONNECTING CHAMBER to the vessel will close and another valve will open to atmosphere. Thus, air from the atmosphere will come into the pump.s chamber. Now when the piston goes in, the valve connecting chamber to the vessel will open and the other valve to atmosphere will close. So all the air inside the chamber will go to the vessel. We can say that the total volume gone in is nV, as number of moles entering the chamber will remain constant in every stroke. Also, during delivery, the pumpateachdoublestrokesucksin airwitha constantpressure`p_0 ` Calculations: TOTALNUMBEROF molesthatwillbepresentin thevesselare ` ((p.V+P_0nV_0))/(RT ) ` IF finalpressureispthenwe canwrite ` ((P.V+ P_0n V_0 ))/( RT ) = (pV ) /(RT ) ` solvingweget ` P=p.+(p_0nV _0 ) /(V )=P_0{((V )/(V +V_0 ))^N+(nV_0 )/( V )}` here `p gt p .`for anyn,sinceduringdelivery, thepumpat eachdoublestokesucksin airwitha pressure`p.`andduringevancuationvolume`V_0`of theairis beingpumpedoutat pressurebelow`p_0` |
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