Charles law gives the relationship between volume of gas and temperature.
It states that for a fixed amount of gas at constant pressure, volume of gas is directly proportional to the temperature.
[tex] \frac{V}{T} = k
[/tex]
where V - volume and T - temperature and k - constant
[tex] \frac{V1}{T1} = \frac{V2}{T2} [/tex]
where parameters for the first instance are on the left side and parameters for the second instance are on the right side of the equation
T1 - temperature in Kelvin , -206.6 °C + 273.15 = 66.55 K
T2 - 175.9 °C + 273.15 = 449.05 K
substituting the values in the equation
[tex] \frac{115.9 mL}{66.55 K} = \frac{V}{449.05 K} [/tex]
V = 782 mL
the new volume is 782 mL
