The new volume of the oxgen gas as the temperature is increased is 171.3ml.
Given the data in the question;
Charles's law states that "the volume occupied by a definite quantity of gas is directly proportional to its absolute temperature.
It is expressed as;
[tex]\frac{V_1}{T_1} = \frac{V_2}{T_2}[/tex]
To determine the new volume of the oxgen gas as the temperature is increased, we substitute our given values into the expression above.
[tex]\frac{V_1}{T_1} = \frac{V_2}{T_2}\\ \\ \frac{0.095L}{305K} = \frac{V_2}{550K}\\\\V_2 * 305K = 0.095L * 550K\\\\V_2 * 305K = 52.25LK\\\\V_2 = \frac{52.25LK}{305K} \\\\V_2 = 0.1713L\\\\V_2 = 171.3ml[/tex]
Therefore, the new volume of the oxgen gas as the temperature is increased is 171.3ml.
Learn more about Charles's law here: brainly.com/question/12835309