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Consider an ideal gas enclosed in a 1.00 L container at an internal pressure of

ID: 520590 • Letter: C

Question

Consider an ideal gas enclosed in a 1.00 L container at an internal pressure of 24.0 atm Calculate the work, w, if the gas expands against a constant external pressure of 1.00 atm to a final volume of 24.0 L. w = Now calculate the work done if this process is carried out in two steps. Step 1: Let the gas expand against a constant external pressure of 1.50 atm to a volume of 16.0 L. Step 2: From the end point of step 1, let the gas expand to 24.0 L against a constant external pressure of 1.00 atm. W =

Explanation / Answer

Work done by the system(in case of expansion)=

W = Pext x V

Where,

Pext = external pressure

V = total change in volume of the gas

From the question,

Pext = 1.00 atm

V = Vfinal Vinitial

=24 - 1

=23 L

Putting these values,we get,

W=Pext x V

= 1.00 x 23

= 23 litre atm

= 23 x101.3 J                            ( 1litre atm = 101.3 J )

= 2329.9 J