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I think I might have this one right but my answer seems kinda high...can somebody help me out...just to confirm
A vertical cylinder of cross-sectional area 0.045m2 is fitted with a tight-fitting, frictionless piston of mass 6.5kg. The acceleration of gravity is 9.8 m/s2, andthe universal gas constant is 8.31451 J/Kmol.
If there are 4.4mol of an ideal gas in the cylinder at 412 K, determine the height h at which the position is in equilibrium under its own weight (in units of m).
The work I have so far is the following:
Pressure=f x area=(6.5kgx9.81)x(0.045m2)
=2.869N/m2
using PV=nRT I isolated my Volume
V = (4.4mol x 8.3145 x 412K) / 2.869N/m2
= 5253.58 m3
Using this volume inside the cylinder I want to find the height:
h = volume/area
= 5253.58m3 / 0.045m2
= 116 746.22m (this seems kind of high for a height, no?)
I also tried this
Area of cylinder = 2 x pie x r2
isolated my radius then plugged that into V = pie x r2 x h
the height I calculated was 334688.55m (once again pretty high)
I'm assuming my first calculation h= volume/area is a more reliable answer but I just need some assurance as to my answer...it seems pretty high for a cylinder/piston
Thanks
Sergio
A vertical cylinder of cross-sectional area 0.045m2 is fitted with a tight-fitting, frictionless piston of mass 6.5kg. The acceleration of gravity is 9.8 m/s2, andthe universal gas constant is 8.31451 J/Kmol.
If there are 4.4mol of an ideal gas in the cylinder at 412 K, determine the height h at which the position is in equilibrium under its own weight (in units of m).
The work I have so far is the following:
Pressure=f x area=(6.5kgx9.81)x(0.045m2)
=2.869N/m2
using PV=nRT I isolated my Volume
V = (4.4mol x 8.3145 x 412K) / 2.869N/m2
= 5253.58 m3
Using this volume inside the cylinder I want to find the height:
h = volume/area
= 5253.58m3 / 0.045m2
= 116 746.22m (this seems kind of high for a height, no?)
I also tried this
Area of cylinder = 2 x pie x r2
isolated my radius then plugged that into V = pie x r2 x h
the height I calculated was 334688.55m (once again pretty high)
I'm assuming my first calculation h= volume/area is a more reliable answer but I just need some assurance as to my answer...it seems pretty high for a cylinder/piston
Thanks
Sergio