Answer
a) $ 26.169 $
b) $ 28.5688 $ kPa
Work Step by Step
a) Find $ k $ when $ V=0.671 $ and $ P=39 $:
$$ \begin{align*}
\displaystyle P& =\frac{k}{V} \\\\
39& =\frac{k}{0.671} \\\\
k& =(0.671)(39) \\\\
k& = 26.169 \\\\
\end{align*}$$
b) Using $ k=26.169 $ and the new volume $ V=0.916 $:
$$ \begin{align*}
\displaystyle P& =\frac{k}{V} \\\\
P& =\frac{26.169}{0.916} \\\\
& \approx 28.5688 \\\\
\end{align*} $$
