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# For a first order $Rx_n$ ,$t_{\large\frac{7}{8}}$ can be taken as the time taken for the conc. of reactant to drop to

$(a)\;8/7\qquad(b)\;7/8\qquad(c)\;1/8\qquad(d)\;8$

$t_{7/8}$ is the time of reactant to drop to $\large\frac{1}{8}$
Hence (c) is the correct answer.