1. Tardigrade
  2. Question
  3. Chemistry
  4. If 100 balloons are inflated from an initial volume of 0.0 L to a final volume of 5.0 L against external pressure of 1.0 atm, how much P-V work, in kilojoules, is done on the surrounding atmosphere by 100 balloons when they are inflated?

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Q. If $100$ balloons are inflated from an initial volume of $0.0\, L$ to a final volume of $5.0\, L$ against external pressure of $1.0$ atm, how much $P-V$ work, in kilojoules, is done on the surrounding atmosphere by $100$ balloons when they are inflated?

Thermodynamics

Solution:

Work done by $100$ balloons:
$w =- p _{ ex }\left( V _{2}- V _{1}\right) \times 100$
$=-1.0(5.0-0.0) \times 100=-500\, L\, atm$
$=-500 \times 101.3=-50650\, J =-50.65\, kJ$