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# A first order reaction is 50 percent completed in 20 min at 27 deg C and in 5 min at 47 deg C The activation energy of the

A first order reaction is 50 percent completed in 20 min at 27 deg C and in 5 min at 47 deg C. The activation energy of the reaction is?
$\\using \:half\:life\:equation\:\\K=\frac{0.693}{t_{1/2}}\\k_1=\frac{0.693}{20\min}=0.0346\:@\:27^o\\k_2=\frac{0.693}{5\min}=0.1386\:@\:47^o\\T_1=273+27=300K\\T_2=273+47=320K\\You \:got\:all\:the \:value.\:Put\:this\:values\:in\:the\:equation\:and\:solve\:for\:E_a$