`N_(2)O_(5)` decomposes to `NO_(2)` and`O_(2)` and follows first order kinetics. After `50` minutes the pressure inside the vessel increases from 50 mm Hg to `87.5 mmHg`. The pressure of the gaseous mixture afte 100 minute at constant temperature will be :
A. `116.25 mm Hg`
B. `106.25 mmHg`
C. `136.25 mmHg`
D. `175.0 mmHg`