A 0.500 reaction vessel equipped with a movable piston is filled completely with a 3.00% aqueous solution of hydrogen peroxide. The decomposes to water and gas in a first-order reaction that has a half-life of 10.7 . As the reaction proceeds, the gas formed pushes the piston against a constant external atmospheric pressure of 738 .
Calculate the work done (in joules) after a reaction time of 4.22 . (You may assume that the density of the solution is 1.00 and that the temperature of the system is maintained at 20 .)