A small reaction bomb fitted with a sensitive pressure-measuring device is flushed out and then filled with pure reactant A at 1-atm pressure. The operation is carried out at 25OC, a temperature low enough that the reaction does not proceed to any appreciable extent. The temperature is then raised as rapidly as possible to 100°C by plunging the bomb into boiling water, and the readings in Table P3.21 are obtained. The stoichiometry of the reaction is 2A → B, and after leaving the bomb in the bath over the weekend the contents are analyzed for A; none can be found. Find a rate equation in units of moles, liters, and minutes which will satisfactorily fit the data.

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T, min 1 2 3 4 5 6 Table P3.21 π, atm 1.14 1.04 0.982 0.940 0.905 0.870 T, min 7 8 9 10 15 20 77, atm 0.850 0.832 0.815 0.800 0.754 0.728