The volume will be 2.25 L.
Explanation:
As per Charle's law, the volume of a gaseous system is directly proportional to the temperature provided the system is at constant pressure. Since volume of gas is directly proportional to the temperature of the gas molecules, V∝ T
So, in case there is a change in temperature with constant pressure, then there will be equal change in volume.
[tex]\frac{V_{1}}{V_{2} } = \frac{T_{1}}{T_{2} }[/tex]
Thus, here [tex]V_{1}[/tex] = 4.50 L , [tex]T_{1}[/tex]= 20 °C and [tex]P_{1}[/tex] = [tex]P_{2}[/tex] = 203 k Pa , [tex]T_{2}[/tex] = 10°C.
Since, volume and temperature is directly proportional then there will be increase in volume with increase in temperature and vice versa.
[tex]\frac{4.50}{V_{2} } = \frac{20}{10}[/tex]
[tex]V_{2} = \frac{4.50*10}{20} = 2.25 L[/tex]
So, the new volume is 2.25 L.
