Question & Answer: The external pressure on a gas sample is 2660 mmHg, and the volume changes from 0.88 L to…..

The external pressure on a gas sample is 2660 mmHg, and the volume changes from 0.88 L to 063 L at constant temperature. Find w (in kJ) done on the gas (1 atm,L = 101.3 J).

The external pressure on a gas sample is 2660 mmHg, and the volume changes from 0.88 L to 063 L at constant temperature. Find w (in kJ) done on the gas (1 atm middot L = 101.3 J).

Expert Answer

The work done W = -PDelta V

W = -left ( dfrac { 2660 : mm : Hg}{ 760 : mm : Hg/atm} right ) times left ( 0.63 : L - 0.88 : L right )

W = 0.875 : L : atm

Convert the unit from Latm to J.

W = 0.875 : L : atm times 101.3 : J/L : atm

W = 88.6 : J

Convert the unit from J to kJ

W = 88.6 : J times dfrac {1 : kJ}{1000 : J}

W = 0.089 : kJ

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