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Q.

For a first order reaction, slope of a graph plotted between logAoAt (y-axis) vs time(x-axis in minutes) is 10-2. Half life of the reaction is ( where A0=Initial concentration, At = Concentration after time 't' )

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a

230.3 minutes

b

30.1 minutes

c

301 minutes

d

23.03 minutes

answer is B.

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Detailed Solution

For a first order reactionK=2.303tlogAoAt logAoAty=K2.303m×tx slope=K2.303 K=2.303(10-2) K=2.303×10-2min-1 t1/2=0.693Kminutes=30.1 minutes.

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For a first order reaction, slope of a graph plotted between logAoAt (y-axis) vs time(x-axis in minutes) is 10-2. Half life of the reaction is ( where A0=Initial concentration, At = Concentration after time 't' )