In following reaction the value of K is `5xx10^(-4)S^(-1)`
`2N_(2)O_(5)overset(Delta)to2N_(2)O_(4)+O_(2)`
Initial pressure was 1 atm, while the final pressure was 1.45 atm at time `yxx10^(3)sec` calculate y

Answer

2.3

Explanation

From unit K reaction is first order
`2N_(2)O_(5)to2N_(2)O_(4)+O_(2)`
`{:(t=0,"1" atm",0,0),(t=t,(1-P),P,(P)/(2)),(t=infty,0,1atm,0.5atm),(P_(0)=1atm,P_(1)=1.45atm,,P_(infty)=1.5atm):}`
`t=(1)/(2K)I n((P_(infty)-P_(0))/(P_(infty)-P_(t)))`
`t=(2.303)/(2xx5xx10^(-4))log((1.5-1)/(1.5-1.45))`
`t=2.303xx10^(3)=yxx10^(3)`
so y=2.303
answer after rounding off & truncation =2.30