Q.

For a first order reaction a graph is plotted between logaa−x(y-axis)  vs time in minutes(x-axis). If the slope of the graph is 0.1 then the half life of the reaction will be

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answer is 3.

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Detailed Solution

K = 2.303tlogaa−x logaa-x = Kt2.303                         y=mx                    slope  = K2.303K2.303 = 0.1givenK = 0.2303 min−1t12  = 0.6930.2303minutest12  = 0.6930.2303×60seconds  =  180seconds
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For a first order reaction a graph is plotted between logaa−x(y-axis)  vs time in minutes(x-axis). If the slope of the graph is 0.1 then the half life of the reaction will be