Final answer:
To solve for the temperature at a different volume using the combined gas law equation, we can plug in the known volume and temperature values and solve for the unknown temperature. Rearranging the equation, we find that the temperature at 2.80 L is (2.80 L x 273.15 K) / 2.57 L.
Step-by-step explanation:
To solve this problem, we can use the combined gas law equation, which states that PV/T = constant. In this case, the pressure and amount of gas are kept constant, so we can rewrite the equation as V1/T1 = V2/T2.
Given that the volume of the gas is 2.57 L at a temperature of 0.00 °C (or 273.15 K), we can plug in these values into the equation: 2.57 L / 273.15 K = V2 / T2. Solving for V2, we get V2 = T2 x (2.57 L / 273.15 K).
Substituting the new volume of 2.80 L, we can solve for T2: 2.80 L = T2 x (2.57 L / 273.15 K). Rearranging the equation, we find T2 = (2.80 L x 273.15 K) / 2.57 L.