IN A CERTAIN FIRST ORDER REACTION , HALF THE RTEACTION WAS DECOMPOSED IN 500 SECONDS HOW LONG IT WILL BE UNTIL 1/10IS LEFT 

ANS. 1661

Half life = 500 seconds

t1/2 = 0.693 / k

k = 0.693/500

= 1.386 * 10^-3

When 1/10 of the reactant is left:

log (Xo/X) = kt / 2.30

Xo/X = 10 when 1/10 th of the reactant is left

log (10) * 2.3 / 1.386 * 10^-3

2.3 / 1.386 * 10^-3

= 1661 seconds.

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