Answer:
648.5 mL
Explanation:
Here we will assume that the pressure of the gas is constant, since it is not given or specified.
Therefore, we can use Charle's law, which states that:
"For an ideal gas kept at constant pressure, the volume of the gas is proportional to its absolute temperature"
Mathematically:
[tex]\frac{V}{T}=const.[/tex]
where
V is the volume of the gas
T is its absolute temperature
The equation can be rewritten as
[tex]\frac{V_1}{T_1}=\frac{V_2}{T_2}[/tex]
where in this problem we have:
[tex]V_1=490 mL[/tex] is the initial volume of the gas
[tex]T_1=-35.0^{\circ} + 273 = 238 K[/tex] is the initial temperature
[tex]T_2=42.0^{\circ}+273=315 K[/tex] is the final temperature
Solving for V2, we find the final volume of the gas:
[tex]V_2=\frac{V_1 T_2}{T_1}=\frac{(490)(315)}{238}=648.5 mL[/tex]
