The new volume occupied by the sample of gas is 4.96L.
Given the data in the question;
Final Volume; [tex]V_2 = \ ?[/tex]
Combined gas law put together both Boyle's Law, Charles's Law, and Gay-Lussac's Law. It states that the ratio of the product of volume and pressure and the absolute temperature of a gas is equal to a constant.
It is expressed as;
[tex]\frac{P_1V_1}{T_1} = \frac{P_2V_2}{T_2}[/tex]
To calculate the new volume the gas occupy, we subtsitute our given values into the expression above.
[tex]\frac{P_1V_1}{T_1} = \frac{P_2V_2}{T_2}\\ \\ P_1V_1T_2 = P_2V_2T_1\\\\0.750atm * 8.20L * 325K = 1.075atm * V_2 * 375K\\\\1998.75LatmK = 403.125atmK * V_2\\\\V_2 = \frac{1998.75LatmK}{403.125atmK} \\\\V_2 = 4.96L[/tex]
Therefore, the new volume occupied by the sample of gas is 4.96L.
Learn more about the combined gas law: brainly.com/question/25944795
