The polarimeter readings in an experiment to measure the rate of inversion of cane sugar (1st order reaction) were as follows
`{:("time(min)",:,0,30,oo),("angle(degree)",:,30,20,-15):}`
Identify the true statement(s) ? [log2=0.3,log 3=0.48, log 7=0.84, `log_e10=2.3`]
A. The half life of the reaction is 75 min
B. The solution is optically inactive at 120 min
C. The equimolar mixture of the product is dextrorotatory
D. The angle would be `7.5^@` at half time

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Correct Answer - A,B,D
`{:(0,30,oo),(30,20,-15):}`
`k=1/30 2.3"log"(30-(-15))/(20-(-15))=1/30"log"45/35`
`:. T_(1//2)75` min
`k=1/t2.3 "log"45/(0-(-15))`
t=120 min
`(30-(-15))/(x-(x-15))=2` at half time
`implies 45(x+15)=2 implies x+15=45/2implies x=22.5-15=7.5^@`

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