Using the differentiual method solve the following:

A small reaction pump, equipped with a sensitive device for measuring

pressure, is evacuated and then filled with pure reactant A at a pressure of $1$ atm. The operation is carried out at $25$ C$,$ a temperature low enough so that the reaction does not occur in an appreciable extension.

The temperature is raised as quickly as possible to $100$C by immersing the pump in boiling water, from which the data given in the table is obtained. The stoichiometric equation for the reaction is $2$A $->$B and after the bomb remains in the bath for a long time it performs an analysis to find out the amount of reactant A$,$ and it is found that this component has ran out. Derive the kinetic equation that fits these data, expressing the units in mole, liter and minute.

Note: Pt is the total preassure