Answer
The volume will be $0.945 L$ or $945 mL$
Work Step by Step
Using the combined gas law with the involved quantities we can see that
$\frac{P_{1}V_{1}}{T_{1}}=\frac{P_{2}V_{2}}{T_{2}}$
Since the question asks for the final volume, we must solve for $V_{2}$. For this question we must also convert the two temperatures into the standard units of Kelvin by simply adding 273.15 to the Celsius values.
$5^{\circ}C + 273.15 = 278.15 K$
$25^{\circ}C + 273.15 = 298.15 K$
Rearranging for $V_{2}$, we get:
$\frac{P_{1}V_{1}T_{2}}{T_{1}P_{2}}=V_{2}.$ Therefore, $\frac{765 mm Hg \times 0.585 L \times 278.15 K}{298.15 K\times 442 mm Hg}=V_{2}.$
$V_{2} = 0.945 L$
$V_{2} = 0.945 L \times 1000 = 945 mL$
