can you please solve step by step. the final answer should be 734 s

The seal on a vacuum desiccator is tested by pumping the system down to 0Pa (absolute), closing the valve, and monitoring the pressure rise in the desiccator over time due to leakage of air from the surrounding atmosphere at a constant pressure of 100,000Pa (absolute). The rate of air leakage at any time depends on the instantaneous pressure difference (P) between the air outside the desiccator and that inside the desiccator and is given by, m=(51012sPakg)P The pressure within the chamber obeys the De: ideal gas law, P=VmRT where the ideal gas constant for air is R=287 J/kgK, the volume of the desiccator is V=3 L and is constant, and the leakage process occurs slowly enough that the temperature remains at a constant T=300K. How much time will it take for the desiccator to reach an internal pressure of 10kPa