(a)
The ratio of rate constant when temperature is raised$\ 10℃$, is called temperature coefficient. For most of the reaction, it has a value of 2.
Hence, for the given reaction,
Rate constant at 290 K=$3.2 \times 10^{- 3}$
$\therefore$ Rate constant at 300 K=$2 \times 3.2 \times 10^{- 3}$
$= 6.4 \times 10^{- 3}$