# Problem: If a balloon is expanded from 0.055 L to 1.403 L against an external pressure of 1.02 atm, how many L⋅atm of work is done?  a) 0.056 L⋅atmb) -1.37 L⋅atmc) 1.43 L⋅atmd) 1.49 L⋅atme) 1.39 L⋅atm

###### FREE Expert Solution

Recall that work (w) is given by:

$\overline{){\mathbf{w}}{\mathbf{=}}{\mathbf{-}}{\mathbf{P\Delta V}}}$

where:

P = pressure (in atm)

ΔV = Vfinal – Vinitial = change in volume (in L)

Also note that if work is:

• (+): work is done by the surroundings to the system (compression)

• (–): work is done by the system to the surroundings (expansion)

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###### Problem Details

If a balloon is expanded from 0.055 L to 1.403 L against an external pressure of 1.02 atm, how many L⋅atm of work is done?

a) 0.056 L⋅atm

b) -1.37 L⋅atm

c) 1.43 L⋅atm

d) 1.49 L⋅atm

e) 1.39 L⋅atm