The decomposition of ammonia on tungsten surface at 500 K follows zero order kinetics. The half-life period of this reaction is 45 minutes when the initial pressure is 4 bar. Find the half-life period (in minutes) of the reaction when the initial pressure is 16 bar at the same temperature.

Options

A. `120`
B. `60`
C. `240`
D. `180`

Answer

D

Explanation

For a zero order reaction,
`t_(1//2)propa_(0)` (initial concentration or initial pressure )
`(t_(1//2))_(1)propP_(1)`
`(t_(1//2))_(2)propP_(2)`
`((t_(1//2))_(2))/((t_(1//2))_(1))=(P_(2))/(P_(1)),((t_(1//2))_(2))/(45)=(16)/(4)`
`(t_(1//2))_(2)=(16)/(4)xx45=180` min