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a balloon expands from 0.0100 l to 0.600 l against an external pressure of 10.00 atm. how much work is done in joules? 101.3 j

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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.

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