Applying Charles' Law, in which as volume increases, temperature increases and as it decreases, the temperature also decreases. Hence, [tex] \frac{ V_{1} }{ T_{1} } = \frac{ V_{2} }{ T_{2} } [/tex]
[tex]V_{1} = 6.5 L \\ T_{1} = (24 + 273) \\ V_{2} = X \\ T_{2} = (8 + 273) [/tex]
note: Temperature in Celsius shall be converted to Kelvin
Simplifying:
[tex] \frac{6.5}{297} = \frac{X}{281} [/tex]
x = { 6.5 (281) } / 297
x = 6.1 L
