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Q: Gas and Volume ( No Answer,   2 Comments )
Subject: Gas and Volume
Category: Science > Physics
Asked by: alwysnforevr002-ga
List Price: $2.00
Posted: 22 Jul 2006 17:51 PDT
Expires: 21 Aug 2006 17:51 PDT
Question ID: 748636
A container of gas is at a pressure of 3.7 X 10(to the fifth) Pa. How
much work is done by the gas if its volume expands by 1.6 m3?
This is the equation i thought fit best for this question:
Work done by the net force = final kinetic energy - starting kinetic energy
There is no answer at this time.

Subject: Re: Gas and Volume
From: bcattwood-ga on 24 Jul 2006 10:29 PDT
You need more information about the type of expansion.  Is it
adiabatic?  Isothermal?  Or is the pressure somehow kept constant
during the expansion?
Subject: Re: Gas and Volume
From: danieljackson-ga on 02 Aug 2006 12:03 PDT
Also... is the gas ideal?

I'm guessing it's probably an ideal gas under going isobaric expansion
in which case,

W = integral (pressure* dVolume) = pressure * integral (dVolume) =
pressure * DeltaVolume

(deltaVolume is the change in volume)

If it's not isobaric and the gas is ideal,

Then PV = nRT (ideal gas law) => P = nRT/V

W = integral (nRT/V * dVolume)

If you assume the expansion is isothermal, then temperature has no
dependence on volume, pressure by definition:

W = nRT * integral (dV/V) = nRT * ln (Vol_f/Vol_i)  

n = number of moles of the gas
R = 'universal' gas constant 8.3145 J/(Mol*K)

Hope that helps..

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