If the pressure remains constant, the volume of the gas is directly proportional to the absolute temperature. The absolute temperature is the temperature in Kelvin (K) and is equal to the Celsius temperature (°C) plus 273.15.
So, to find the volume of the gas at 600K, we can use the formula:
(Volume at 600K) = (Volume at 300K) x (Temperature at 600K / Temperature at 300K)
(Temperature at 600K) = (600°C + 273.15) = 873.15K
(Temperature at 300K) = (300°C + 273.15) = 573.15K
So, the volume of the gas at 600K would be:
(Volume at 600K) = (1.5 dm³) x (873.15K / 573.15K) = 2.28 dm³
Therefore, the volume of the gas at 600K would be 2.28 dm³.