(a)
For first order reaction
$k = \frac{2.303}{t}\log\frac{\lbrack A_{0}\rbrack}{\lbrack A\rbrack}$
$k = \frac{2.303}{45}\log\frac{0.05}{0.035}$
$k = \frac{2.303}{45}\log{1.42}$
$k = \frac{2.303 \times 0.1523}{45} = 0.0078$
$t_{1/2} = \frac{0.693}{0.0078} = 88\ min$