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.