Final answer:
The work performed when a gas expands is given by the formula: Work = External Pressure * Change in Volume. In this case, the work performed is 52.53 J.
Step-by-step explanation:
The work performed when a gas expands is given by the formula:
Work = External Pressure * Change in Volume
In this case, the external pressure is 0.775 atm and the change in volume is 1.33 L - 0.66 L = 0.67 L.
Therefore, the work performed is:
Work = 0.775 atm * 0.67 L = 0.51875 atm·L.
Since 1 atm·L = 101.3 J, the work performed in joules is:
Work = 0.51875 atm·L * 101.3 J/atm·L = 52.53 J.