In a closed container `NO_(2)` gas is getting dimerised into` N_(2)O_(4)` gas with first order kinetics. Pressure after 10 hours of reaction is 5 atm and pressure after completion of reaction is 4atm. What is half life in hours?

Answer

5

Explanation

`2NO_(2(g))hArrN_(2)O_(4(g))` So `P_(0)=8` atm `(P_(0)-y/2)=5`
`(P_(0)-y)=(8-6)=2` atm` Kxxt=2.303xxlog((P_(0))/(Pt))`
`0.693/((t_(1//2)))xx10=2.303xxlog(8/2),(0.3010xx10)/((t_(1/2)))=2xxlog2,(0.3010x10)/((t_(1/2)))=2xx0.3010`,
`(t_(1/2))=10/2=5,t_(1/2)=5`