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Q.

4 moles of an ideal gas at 27°C are allowed to expand D isothermally from an initial pressure of 12.0 atm to a final pressure of 6.0 atm against a constant external pressure of 1.0 atm. Thus, work done will be

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a

- 1870.6 J

b

+ 1870.6 J

c

- 18.47 J

d

-831.4 J

answer is D.

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Detailed Solution

Gas is being expanded against external pressure. Thus, work is done by the system, work is negative.

W=pextV2V1=pext nRTp2nRTp1=nRTpext 1p21p1=4×0.0821Latmmol1K1×116112×300K=8.21L atm =8.21Latm×8.314J0.0821L atm =831.4J

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