1.

For the first order reaction 2" N"_(2)"O"_(5)(g)to4" NO"_(2)(g)+O_(2)(g)

Answer»

the concentration of the reactant decreases EXPONENTIALLY with time
the half-life of the reaction decreases with increasing temperature
the half-life of the reaction depends on the initial concentration of the reactant
the reaction PROCEEDS to `99.6%` completion in eight half-life duration

Solution :`[A]=[A]_0e^(-kt)` Hence, (a) is correct
`t_(1//2)=(0.693)/k` As k increases with increasingtempeature, therefore, `t_(1//2)` of a FIRST order reactionis INDEPENDENT of initial concentration.
Amount left after 8 half - LIVES `=([A]_0)/(2^8)`
`1/(256)"of"[A]_0=0.004"of"'[A]_0`
`:." Amount reacted"=0.996" of "[A]_0," i.e," 99.6%" of"[A]_0`. Hence, (d) is correct.


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