For the first order reaction `2N_(2)O_(5(g))to4NO_(2(g))+O_(2(g))`

Options

A. the concentration of the reaction decreases exponentially with time
B. the half life of the reaction decreases with increasing temperature
C. the half life of the reaction depends on the initial concentration of the reactant
D. the reaction proceeds to 99.6% completion in eight half life duration

Answer

A, B, D

Explanation

`0.693/(t_(1/2))xxt=2.303log(100/0.4),(2.303xx0.3010xxt)/(t_(1/2))=2.303log(25xx10)`
`(0.3010xxt)/(t_(1//2))=log25+log10,(0.3010xxt)/(t_(1/2))=log5^(2)+log_(10)^(10)=2log_(10)^(5)+1`
`=2xx0.6990+1=2xx0.7+1=1.4+1,(0.3010xxt)/(t_(1/2))=2.4,t=t_(1/2)xx2.4/0.3t_(1/2)=8xxt_(1//2)`